687 Sentences With "nth" | Random Sentence Generator

They are Vegas to the nth in that respect—film to the nth, even—totally unconstrained by anything at all.

Happy Twitter -versary (for the nth time around), Jack Dorsey.

It's email if you took it to the nth level.

Then the phone ringing for the nth time infuriated him.

It's "Stars: They're just like us!" taken to the nth degree.

For the nth time, I am NOT Trump's foreign policy adviser!

"Oh yeah, we feel everything to the nth degree," he said.

Does it really matter why you're collecting echoes for the Nth time?

"These guys are to the nth degree in every category," Jankovich said.

Trump knew that -- and he exploited it to the nth degree. 2.

The flat backs, the head and body stretched to the nth degree.

Headquartered in Edison, New Jersey, Nth degree is family funded with $5 million.

"We don't have plans to develop an nth undifferentiated skinny bundle," Sievert continued.

Now a new fund called Neo is taking the idea to the nth degree.

Nearly 2,000 calls to the NTH have come from my home state of Missouri.

Nth Degree launched in 2010, and developed its new line of packaging in 2015.

My business decisions and strategies were very intentional, definite and planned to the nth degree.

Jack White ranting and raving is a lot of fun, and eccentric to the nth degree.

As women, we're always being objectified and sexualized, and that takes it to the nth degree.

It's campy to the nth degree, but on a platform that serves up horror on the daily.

" Comparing ESPN's and other networks' N.F.L. investments, he said, "is apples and oranges to the nth degree.

They're all bizarre to the nth degree, so uninterested in aesthetic convention that their audacity becomes funny.

They collect them, add them, raise them to the nth power, take the cube and prepare wonderful diagrams.

"Lord Byron took this to the nth degree having gained almost five stone three years apart," says Walters.

Ergo, statements by law enforcement -- instruments of the state -- are certainly, and deservedly, scrutinized to the nth degree.

This is the new play: Rhea will take all the heat for the nth round of cruise drama.

Jean Terminiello, founder of the Big Beverage Company, asked Strahm how Nth Degree planned to expand beyond New York.

Or, you know, just kick off your nth rewatch of The Office on the Netflix app — it's your call.

These things are calculated to the nth degree to be safe for little kids and sly enough for older viewers.

In today's highly corporatized, analyzed-to-the-nth-degree baseball, maybe there simply isn't any room for another Roy Hobbs.

If our players are unhappy with it, we have to analyze to the nth degree the cause of their unhappiness.

But in true Kanye tradition, the flowers were art-directed to the nth degree, hanging from the ceiling in punchy colors.

I wasn't obsessive about it, I didn't document everything to the nth degree, and I certainly didn't do it every day.

The final scene of "Conquest" takes the wholesale carnage of Act V of "Hamlet" and multiplies it to the nth degree.

Or, in the case of the couture, some invisibly finished, tailored to the nth degree, every sequin in its place, perfection.

He went on nth disabled list with a lat injury last season and worked out of the bullpen on his return.

The characters have broken not the fourth wall between spectacle and audience but some otherdimensional nth wall between fiction and science.

If you're listening to emo, you have to have that winy American voice and Blink is the nth degree of that.

But in Silverman's play The Moors — with its queered-up, gothic-to-the-nth-degree atmosphere — Branwell is the patriarchy destroyed.

"We're ready to take on traditional sports drinks because they're made of 20153s science," said Nth Degree Innovations co-founder Peter Strahm.

For me, things don't have to be so exact, but these people working on it plotted it out to the nth degree.

The musical is camp to the nth degree, and it explores a wide range of musical styles, from jazzy tunes to goofy rap.

Her image, down to the way she speaks, is curated to the nth degree — and this includes her social media presence, of course.

Given the start-up's plans for growth, David Wu, partner at Maveron, questioned whose thirst Nth Degree's target customer is trying to quench.

Donald Trump is making it easier for nth-generation, "unhyphenated" Americans to block immigrants from fully integrating — by demanding they do just that.

Dennis Hopper would show up at her father's with a troupe and they were drugged up to the nth degree, but she wasn't.

On Labor Day of last year, in a half-hearted attempt to "put myself out there" again, I redownloaded Tinder for the nth time.

The photos are constructed and planned to the -nth degree, with some taking up to nine hours in preparation before a camera is touched.

" - Brianna, 238 "I hate Silver Linings Playbook because it felt like movie stars trying on mental illness and butchering it to the nth degree.

But I have to tell you, getting up in the morning to work hard at making the Nth new video game isn't exciting to me.

He added that Nth degree expects to reach Southern California and select Southeastern markets soon, along with the Northeast and mid-Atlantic areas by 2017.

Between the two extremes are the wonderful cubes of creamy tofu inside a crisp and ultrathin shell; they're like mozzarella sticks refined to the nth degree.

And knowing what we do about Raney (she's Type A to the nth degree), are we really supposed to buy her move into a rodent-infested house?

CES has often been about outdoing the competition by adding a voice assistant to an extravagant appliance and this smart toilet captures that spirit to the nth degree.

Call of Duty 249.99: Modern Warfare — $9.99 See Details Few things in life are more cumbersome than having to reset your passwords because you forgot them for the nth time.

You hear its echoes of in modern pop-punk bands like Pup, or in some of the more energetic, joyful bands of the nth-wave emo revival currently taking place.

Just a TV that works like a TV — an affordable, easy-to-use display on which you can binge the latest season of Stranger Things for the nth time this week.

For the nth time, Draghi called last week for a relaxation of the euro area's – read Germany's — fiscal policies, instead of relying on cheap credit to keep the monetary union afloat.

The Handmaid's Tale is soon returning for more episodes of misery and misogyny to the nth degree, and the reviews are coming in for the second season of Hulu's morbid series.

So it was only a matter of time before Trump reached the playbook's long anti-Clinton chapter, which was already conspiratorial to the Nth degree, and made it even more sensational.

"That was tone-deaf to the Nth degree," said Melissa LaBonte, a political science professor at Fordham University who is a member of Campaign to Elect a Woman U.N. Secretary General.

Strangers spend minutes trying to understand why you look good in midrange designer clothes put together in ugly combos before realizing for the nth time it's because you're very thin. Aha!

After that, you can respond once to a first intrusion, and from there say, "I said 'no,' " to a second, and give no response at all to a third/fourth/nth.

But it's Americans, of course, who have taken x's to the nth degree, and are now using them in the workplace and even with unlikely recipients like their doctors or lawyers.

There's something meditative about doing nothing but sitting and focusing, eyes closed, imagination firing on all cylinders; it raises the zen state of lower wakefulness achieved by moviegoers to the Nth degree.

For the past month, I've put in the hours, slowly transforming my Link from reborn runt to legendary hero, more than capable—I think—of sealing the darkness for the nth time.

I will protect players to the nth degree because I remember how difficult it was to play at this level and I believe leadership is based on love and love always protects.

"Nth degree" is the ultimate degree, so if you indulge in some wordplay and make it about scholarly degrees, that would be a PH.D. – 83D: Remember we discussed this the other day?

Nth degree would not disclose revenue, but Strahm did tell CNBC the start-up has sold more than 250,000 bottles since launching in 2010 and that he expects to reach profitability by 2017.

Alicia Syrett, board member of the New York Angels, was concerned about how Nth Degree would be able to evade direct competition from those major players, who could develop their own low glycemic products.

Drawing on the immortal souls of Willy Wonka, Dr. Who, and the Looney Tunes, animator lilfuchs brings the banger to the Nth dimension and envisions a world so party that even Skrillex can't hang.

Multiplying together the prices of n goods and then taking the nth root of the product allows price aggregations to take into account a degree of switching proportionate to the change in relative prices.

But, now that we're in our Nth year of attempting to make foreign policy buff, it becomes more and more apparent that nobody knows what the fuck they're doing except Barack Obama and Jimmy Fallon.

Nearly everyone who spoke, it must be said, took 30 seconds to a minute of their allotted five to explain for the nth time how precious the internet and freedom of speech on it are.

A lot of the themes I explore are trends in society that I'm taking to the nth degree, imagining them continuing to get more extreme and ridiculous, over the course of 50 or 75 years.

For them, it's a relief to go to a restaurant that doesn't use salt or dairy or meat, where everything is vegan and gluten-free, and you can control your order to the nth degree.

The great advantage of the Orchestre Révolutionnaire et Romantique is that you can push them absolutely to the nth degree, so the instruments almost get to breaking point, but there will always be clarity as well as exhilaration.

But China's Communist Party decided early on that Lincoln was right about the incompatibility of two competing value systems, and they carried his principle to the nth degree: A nation cannot live 99.9 percent slave and 0.1 percent free.

And in the year and half since the project was first announced in late 2014, those debates have been multiplied by internet outrage, divided by sexism, and raised to the nth power of "here we go again!" hot take fatigue.

Solomon's project, which he calls—with tongue planted firmly in cheek—"Literally Balling," is an attempt to take that lavish NBA lifestyle and amplify it to the Nth degree: 24 karat gold-plated rims, Swarovski crystals, Renaissance-style glasswork, the whole nine yards.

"She's a Venice bohemian to the nth degree," said Simon Doonan, creative ambassador at large for Barneys New York, who recalled Ms. Neuwirth once arriving for a photo shoot at the store with her beloved Labradoodle Teddy decked out in her necklaces.

Kraftful builds the myriad components that an IoT/smart home company might need, puzzle piecing them together into apps for each company without requiring them to reinvent the light switch (or the padlock button, or the smart thermostat dial) for the nth time.

But get them something that they'd never in one million years—never in their most intense fever dream of the 90s—see coming, and at least you'll have something to talk about once you've burned through explaining the concept of a podcast for, like, the -nth time!!!

For a truly awesome offline listening experience, simply connect the Mighty to your Spotify Premium account, clip it on your clothes, and head to the gym, the subway, or on a hike — anywhere life takes you, basically — while listening to "Hold Up" for the nth time in a row.

" You have these small towns — I wrote about a lot of people in small towns [who] are very interesting to me, who were the nth generation of people told by the caste system in India, "You're a bricklayer, your dad was a bricklayer, your grandfather was a bricklayer.

Audiophiles complain that the digital era, with its rampant copy-paste ethos and jumble of old and new formats, is an age of debased sound: lossy audio files created from nth-generation transfers; cheap vinyl reissues, marketed to analog-fetishists but pressed up from sludgy non-analog sources.

He returned, sans guitar but wearing a black duster jacket that was an instrument in its own right, to perform Pure Comedy's title track, vamping to the Nth degree, acting out his lyrics and during the instrumental breakdown doing a canonically weird dance that felt somehow both prurient and chimerical.

To read the phrase, you would go down the first three letters, IS T-, then read the H in NTH, the I in SEMIS, the S in ESS, back to the T and the H, and then proceed in an orderly fashion down the rest of ING ON. Got that?

The padding is palpable as you swing from the nth ledge to the next on the way to another X-marks-the-spot location on a tropical island that looked delicious for the first five minutes your eyes spent drinking it in, but two hours later the aesthetic appeal has faded.

He returned, sans guitar but wearing a black duster jacket that was an instrument in its own right, to perform Pure Comedy's title track, vamping to the Nth degree, acting out his lyrics and during the instrumental breakdown doing a canonically weird dance that felt somehow both prurient and chimerical.

Mr. Ito took this ends-justify-the-mean attitude that ignores consequences to the nth degree, moving from the tech industry's usual weak excuse for bad policies — "unintended consequences" — to behaving in a way that was designed to deploy Mr. Epstein's filthy money at whatever the cost to M.I.T.'s soul.

But the scenario I look forward to most (way) down the road is the opportunity to be a regular in a few places — to slide into "my" table, banter with a waiter I know well enough to send a birthday wish, and order exactly what I want, even if it's chicken for the nth time.

We should do it in a way that's a little bit more interesting than what they can accomplish without an actual game mode, and we always like to take the things that they give us and the inspirations they give us and, you know, take it to the Nth degree and do something that will blow their minds.

Given the vacuity of last week's European meetings, one may question why was it necessary for the U.S. president to spend four days and all that money to repeat for the nth time to people who took $165 billion net out of their U.S. trade in 2016 what he has been telling them over the last two years.

After delivering what was by any measure the song of the year — and making it official tonight when he won the trophy for Song of the Year — Lil Nas X would have been well within his rights to just give the people what they want by performing "Old Town Road" for the nth time at the VMAs.

But then again, we're sitting her talking about the dude, the single dude, who has lived and bled for the NFL lifestyle, back to front, from when he was a child breaking down tape for his father to now, slogging into Minnesota and barking at some assistant or whoever to prepare for his nth Super Bowl in 16 years.

"It just isn't a matter of having the latest and most updated rosters in the game, it's about having the creative freedom to be able to customize and design something completely unique to your vision," Fire Pro Wrestling Arena member Nth told Motherboard, explaining why his loyalties lie with Fire Pro and not, say, 2K Games' massively popular WWE 2K series.

A related functional that shares the translation-invariance and homogeneity properties with the nth central moment, but continues to have this additivity property even when n ≥ 4 is the nth cumulant κn(X). For n = 1, the nth cumulant is just the expected value; for n = either 2 or 3, the nth cumulant is just the nth central moment; for n ≥ 4, the nth cumulant is an nth-degree monic polynomial in the first n moments (about zero), and is also a (simpler) nth-degree polynomial in the first n central moments.

The 'nth position' means that the hand is positioned with the first finger over the nth fret.

Grunwald's original claim that an element that is an nth power almost everywhere locally is an nth power globally can fail in two distinct ways: the element can be an nth power almost everywhere locally but not everywhere locally, or it can be an nth power everywhere locally but not globally.

It is well known that the numbers along the three outside edges of the nth Layer of the tetrahedron are the same numbers as the nth Line of Pascal's triangle. However, the connection is actually much more extensive than just one row of numbers. This relationship is best illustrated by comparing Pascal's triangle down to Line 4 with Layer 4 of the tetrahedron. Multiplying the numbers of each line of Pascal's triangle down to the nth Line by the numbers of the nth Line generates the nth Layer of the Tetrahedron.

The NTH Ring The NTH Ring known by many names in Norway, NTH-ringen, first known as Høiskoleringen, also known as Ringen, Sivilingeniørringen, NTNU/NTH- ringen or Master-ringen. The ring, depicted to the right, is worn only by graduates of the former sivilingeniør or sivilarkitekt programmes, now graduates of the Master of Science in engineering or architecture programmes, at the Norwegian University of Science and Technology (NTNU), formerly known as NTH (Norwegian Institute of Technology). The ring was designed by architectural student Tormod Kristoffer Hustad, who had won an international competition in 1914.

The Nth Commandment is a 1923 American silent drama film directed by Frank Borzage and starring Colleen Moore. It is based on a story, The Nth Commandment, by Fannie Hurst, a well-known novelist of the day.Progressive Silent Film List: The Nth Commandment at silentera.comThe AFI Catalog of Feature Films: The Nth Commandment The film's title jests somewhat Cecil B. DeMille's upcoming epic The Ten Commandments (1923) which was released later that same year.

Consider all decimals that can be defined by means of a finite number of words; let E be the class of such decimals. Then E has \aleph_0 terms; hence its members can be ordered as the 1st, 2nd, 3rd, ... Let N be a number defined as follows [Whitehead & Russell now employ the Cantor diagonal method]; if the nth figure in the nth decimal is p, let the nth figure in N be p+1 (or 0, if p = 9). Then N is different from all the members of E, since, whatever finite value n may have, the nth figure in N is different from the nth figure in the nth of the decimals composing E, and therefore N is different from the nth decimal. Nevertheless, we have defined N in a finite number of words [i.e.

Let p be the nth decimal of the nth number of the set E; we form a number N having zero for the integral part and p + 1 for the nth decimal, if p is not equal either to 8 or 9, and unity in the contrary case. This number N does not belong to the set E because it differs from any number of this set, namely from the nth number by the nth digit. But N has been defined by a finite number of words. It should therefore belong to the set E. That is a contradiction.

The array subscript notation can also be used to access elements of lists. For example, the `nth/3` predicate can be defined as follows: nth(I,L,E) :- E @= L[I].

Chemical engineering had developed as a discipline of its own in the United States since around 1900, based on needs in industry. For many years, NTH followed the German tradition, where machine engineers carried out such tasks. But after World War II, NTH oriented itself more towards USA. In 1949, NTH established its own Department of Chemical Engineering.

Every complex number other than 0 has n different nth roots.

The integer part of r is 0, the nth decimal place of r is 1 if the nth decimal place of rn is not 1, and the nth decimal place of r is 2 if the nth decimal place of rn is 1. The preceding two paragraphs are an expression in English that unambiguously defines a real number r. Thus r must be one of the numbers rn. However, r was constructed so that it cannot equal any of the rn (thus, r is an undefinable number).

The BBP formula gives rise to a spigot algorithm for computing the nth base-16 (hexadecimal) digit of (and therefore also the nth binary digit of ) without computing the preceding digits. The existence of this formula came as a surprise. It had been widely believed that computing the nth digit of is just as hard as computing the first n digits.

Second, the angle between the positive horizontal axis and a ray from the origin to one of the nth roots is \theta / n, where \theta is the angle defined in the same way for the number whose root is being taken. Furthermore, all n of the nth roots are at equally spaced angles from each other. If n is even, a complex number's nth roots, of which there are an even number, come in additive inverse pairs, so that if a number r1 is one of the nth roots then r2 = –r1 is another. This is because raising the latter's coefficient –1 to the nth power for even n yields 1: that is, (–r1) = (–1) × r1 = r1.

It is indeed unambiguous as there exists only one nth last letter.

An archaic term for the operation of taking nth roots is radication.

Nth degree, or nth degree, are two words expressing a number to a certain level. In the first word, 'Nth' or 'nth', is a word expressing a number, in two parts, 'n' and 'th', but where that number is not known, (hence the use of 'n') and a correlatory factoring, 'th', (exponential amplification, usually from four onwards (fourth, fifth)), is used to multiply the 'n' (number), to arrive at a number, concomitant to subject matter. The 'degree' is used as a noun, expressing the level or amount of the final multiplicated number.

Hath-Set made a weapon out of Nth Metal to slay the Chieftain of the Bird Tribe and his wife. After doing that, the Nth Metal weapon caused them to confront their reincarnations following his unseen death. In Ancient Egypt, Hath-Set was the servant of Prince Khufu and Chay- Ara. Using Nth Metal from a crashed Thanagarian ship, Hath-Set killed Prince Khufu and Chay-Ara.

Lightner hoped to use the project's Nth Projector to regain his previous powers. Lightner released Nuklo and allowed Thundra and the Grapplers in to cause destruction and distract the facility's staff. Lightner was supposed to use the Nth Projector to send the Project: Pegasus facility into another dimension, but instead used it on himself. Lightner was transformed into the Nth Man, a "living interdimensional vortex".

In particular, Bn is the nth moment of a Poisson distribution with mean 1.

Jo Joo-bin () is a South Korean man, suspect in the Nth room case.

Generate a Fibonacci number sequence, where each subsequent number in the sequence is the sum of the prior two: ⎕CR 'Fibonacci' ⍝ Display function Fibonacci FibonacciNum←Fibonacci Nth;IOwas ⍝ Funct header, funct name=Fibonacci, monadic funct with 1 right hand arg Nth;local var IOwas, and a returned num. ⍝Generate a Fibonacci sequenced number where Nth is the position # of the Fibonacci number in the sequence. << function description IOwas←⎕IO ⋄ ⎕IO←0 ⋄ FibonacciNum←↑0 1↓↑+.×/Nth/⊂2 2⍴1 1 1 0 ⋄ ⎕IO←IOwas ⍝ In order for this function to work correctly ⎕IO must be set to zero.

Nth Man is a fictional character appearing in American comic books published by Marvel Comics.

He was born in Levanger in Nord-Trøndelag, Norway. He was the son of David Edvard Gjone (1871–1951) and Kristiane Øwre (1877–1970). After completing his studies at the Norwegian Technical College (NTH), Gjone was an assistant architect with Ole Landmark in Bergen from 1920-24 after which he joined professor Johan Meyer at NTH in Trondheim. In 1931 Gjone was employed as a lecturer in early Norwegian construction at NTH.

Since the introduction of MMP in 1996, all New Zealand governments have comprised coalitions of two or more political parties, whether coalescing before and/or after general elections; thus referring to such governments as "nth National Government" or as "nth Labour Government" simplifies somewhat.

In the setting of probability theory, Dobiński's formula represents the nth moment of the Poisson distribution with mean 1. Sometimes Dobiński's formula is stated as saying that the number of partitions of a set of size n equals the nth moment of that distribution.

Only in case n = either 2 or 3 is the nth cumulant the same as the nth central moment. The case n = 2 is well-known (see law of total variance). Below is the case n = 3\. The notation μ3 means the third central moment.

An nth component ((m − 1)-simplex) of Pascal's m-simplex has the (m!)-fold spatial symmetry.

The numbers of the tetrahedron are derived from trinomial expansion. The nth layer is the detached coefficient matrix (no variables or exponents) of a trinomial expression (e.g.: A + B + C) raised to the nth power. The nth power of the trinomial is expanded by repeatedly multiplying the trinomial by itself: Each term in the first expression is multiplied by each term in the second expression; and then the coefficients of like terms (same variables and exponents) are added together.

Like a black hole, the Nth Man absorbs all nearby matter and energy into himself. All of the heroes at the facility were absorbed into him, and Wundarr the Aquarian was able to use his null field to shut off the Nth Man's powers.Marvel Two-in-One #58 Instead of being destroyed, the Nth Man entered the alternate universe of Earth-S. There, he threatened to consume the sun, but remnants of the Squadron Supreme reunite to battle him.

In the same year the French mathematician Jules Richard used a variant of Cantor's diagonal method to obtain another contradiction in naive set theory. Consider the set A of all finite agglomerations of words. The set E of all finite definitions of real numbers is a subset of A. As A is countable, so is E. Let p be the nth decimal of the nth real number defined by the set E; we form a number N having zero for the integral part and p + 1 for the nth decimal if p is not equal either to 8 or 9, and unity if p is equal to 8 or 9. This number N is not defined by the set E because it differs from any finitely defined real number, namely from the nth number by the nth digit.

He is the younger brother of former Parramatta, Sydney Roosters, Nth Qld and Cronulla winger, John Williams.

The shifting nth root algorithm is an algorithm for extracting the nth root of a positive real number which proceeds iteratively by shifting in n digits of the radicand, starting with the most significant, and produces one digit of the root on each iteration, in a manner similar to long division.

The three 3rd roots of 1 A complex number w such that for a positive integer n is an nth root of unity. Geometrically, the nth roots of unity lie on the unit circle of the complex plane at the vertices of a regular n-gon with one vertex on the real number 1. If but for all natural numbers k such that , then w is called a primitive nth root of unity. The negative unit −1 is the only primitive square root of unity.

Lydersen grew up in the coastal village Narestø at Flosta in the Aust-Agder county. He completed examen artium in 1938. In 1943 he graduated with a master's degree in engineering from the Machine Department at NTH. He then worked as an assistant for professor Adolf Watzinger at NTH for three years.

Similarly, if X is normally distributed with variance 1, then : X'^n = H_n(X)\, where Hn is the nth Hermite polynomial.

"Nth Degree" is a song by New York City band Morningwood from its debut album Morningwood. "Nth Degree" reached No. 30 on the Billboard Modern Rock Tracks chart. The song was used in a Mercury vehicles ad campaign that featured actress Jill Wagner. It was also included on the soundtrack for the video game Thrillville: Off the Rails.

From top to bottom: x1/8, x1/4, x1/2, x1, x2, x4, x8. An nth root of a number b is a number x such that . If b is a positive real number and n is a positive integer, then there is exactly one positive real solution to . This solution is called the principal nth root of b.

The -nth- element in menthe is characteristic of a class of words borrowed from a Pre-Greek language: compare acanthus, labyrinth, Corinth, etc.

First year students are called "fuksi" and students that have studied more than five years are called "N:nnen vuoden opiskelija" (Nth year student).

The Nth metal in Hawkman's wings, belt, harness, and boots is controlled mentally and allows him to defy gravity. His wings allow him to control flight, though they can be "flapped" through use of shoulder motions. Hall's Nth metal also enhances his strength and eyesight, speeds healing, and regulates body temperature, preventing the need for heavy protective clothing while flying at high altitudes. Nth metal is known to affect electromagnetism as well as the strong and weak nuclear forces of the universe, but only if one has the knowledge of how to use it in those ways.

Darrel Treece-Birch started playing keyboards from an early age. Inspired by the early electronica music of Oxygene and Equinox of Jean-Michel Jarre and the ambient orchestration of Vangelis, he soon got involved in various bands, with the most notable one being the Fleetwood-based Purple on the Storm. Darrel Treece-Birch is a founding member of the northwest English progressive rock band Nth Ascension (originally formed as Nth Degree in 2010). In 2011, the band released their first studio album under the name Nth Ascension, entitled Frequencies of Day & Night, which was issued as a free download via the Aurovine website.

Figure 1. Examples of symmetry and antimetry: both networks are low-pass filters but one is symmetric (left) and the other is antimetric (right). For a symmetric ladder the 1st element is equal to the nth, the 2nd equal to the (n-1)th and so on. For an antimetric ladder, the 1st element is the dual of the nth and so on.

Determination of physical data became a central research activity when he returned to NTH, now also based on his own measurements. The results are published in chemical engineering handbooks. He received a position at NTH as docent in 1955, and full professor from 1958. He authored or co-authored several publications on determination of enthalphy and vapour pressure for organic substances.

If a particular node is to be searched for in the list, each node in the list must be sequentially compared till the desired node is reached. In a linked list, retrieving the nth element is an O(n) operation. This is highly inefficient when compared to an array for example, where accessing the nth element is an O(1) operation.

Likewise, a journal may start new volumes for each anniversary after its original inception. Thus, all issues published in the Nth term or year will be classified under the Nth volume. The original function of labelling issues with a volume at publication time was to provide a standard way for libraries to later bind the issues into a physical volume.

Foreign oil companies were encouraged to add research activity to Norway, and NTH/SINTEF positioned itself well. This growth also gave the Trondheim region a boost as part of a "goodwill period" that lifted NTH/SINTEF to a high, international level in the technology area. In 1980, SINTEF was transformed into an independent research foundation and professionalized as an organization.

De Moivre wrote a book on probability theory, The Doctrine of Chances, said to have been prized by gamblers. De Moivre first discovered Binet's formula, the closed- form expression for Fibonacci numbers linking the nth power of the golden ratio φ to the nth Fibonacci number. He also was the first to postulate the central limit theorem, a cornerstone of probability theory.

She completed her medical training at Howard University College of Medicine, where she saw pictures of LaSalle D. Leffall Jr. on the walls. These experiences focussed her aspirations on becoming an orthopaedic surgeon. In 2009 Suleiman was made an Orthopaedic medical intern as part of the Nth Dimensions programme. Nth Dimensions supports women and minorities who want to become orthopaedic surgeons.

The second report was initiated by a committee in January 1978. When presented in nine volumes in March 1979, it recommended two new tramways: Lade–Midtbyen–NTH–Risvollan–Heimdalsbyen and Lian–Midtbyen–NTH–Nardo–Moholt–Stokkan. By 1990, this would capture 90% of the public transport in the municipality. Investments would be NOK 340 million and annual operating costs would be NOK 103–106 million.

This may be shown by inverting in a circle centered on the tangent point A. The circle of inversion is chosen to intersect the nth circle perpendicularly, so that the nth circle is transformed into itself. The two arbelos circles, CU and CV, are transformed into parallel lines tangent to and sandwiching the nth circle; hence, the other circles of the Pappus chain are transformed into similarly sandwiched circles of the same diameter. The initial circle C0 and the final circle Cn each contribute ½dn to the height hn, whereas the circles C1-Cn−1 each contribute dn. Adding these contributions together yields the equation hn = n dn.

As the product of the nth roots of units is \pm 1, this implies that \alpha^n\in K, and thus that the extension is a radical extension. It follows from this theorem that a Galois extension may be expressed as a radical series if and only if its Galois group is solvable. This is, in modern terminology, the criterion of solvability by radicals that was provided by Galois. The proof uses the fact that the Galois closure of a simple radical extension of degree n is the extension of it by a primitive nth root of unity, and that the Galois group of the nth roots of unity is cyclic.

This is the only year type where the nth "Doomsday" (this year Sunday) is not in ISO week n; it is in ISO week n-1.

Deleting any of the subsets of Z from the series for λ creates uncountably many distinct Liouville numbers, whose nth roots are U-numbers of degree n.

In September 2014, Mohamed-Salah Abdelouahab, Rene Lozi, and Leon Chua published a general theory of 1st-, 2nd-, 3rd-, and nth-order memristive elements using fractional derivatives.

If the canonical class is effective, then it determines a rational map from V into projective space. This map is called the canonical map. The rational map determined by the nth multiple of the canonical class is the n-canonical map. The n-canonical map sends V into a projective space of dimension one less than the dimension of the global sections of the nth multiple of the canonical class.

Microbeads were created when John Ugelstad managed to form polystyrene beads of the same spherical sizes at the Norwegian University of Science and Technology (NTNU)In 1977: The Norwegian Institute of Technology (NTH). In 1996: NTH was merged into the Norwegian University of Science and Technology (NTNU). in 1977. A few years later (See graphic illustration) he created superparamagnetic microbeads (Dynabeads), which exhibit magnetic properties when placed in a magnetic field.

A subharmonic synthesizer is a device or system that generates subharmonics of an input signal. The nth subharmonic of a signal of fundamental frequency F is a signal with frequency F/n. This differs from ordinary harmonics, where the nth harmonic of fundamental frequency F is a signal of frequency nF. Subharmonic synthesizers can be used in professional audio applications as bass enhancement devices during the playback of recorded music.

A common factor is usually evident. # Once the keyword length is known, the following observation of Babbage and Kasiski comes into play. If the keyword is N letters long, then every Nth letter must have been enciphered using the same letter of the keytext. Grouping every Nth letter together, the analyst has N "messages", each encrypted using a one-alphabet substitution, and each piece can then be attacked using frequency analysis.

In a Kafkaesque maelstrom of terrifying bureaucratic confusion and utter insanity, the agent attempts to follow his mission directives, conducting on-the-spot investigations: "Verify. Search. Destroy. Incite. Inform. Over and out. On the nth day nth hour sector n subsector n rendezvous with N." The narrator inhabits a paranoid dystopia where nothing is as it seems, chaos seems to rule all events, and everyone is deeply suspicious of everyone else.

Let z0 be a root of a holomorphic function f, and let n be the least positive integer such that, the nth derivative of f evaluated at z0 differs from zero. Then the power series of f about z0 begins with the nth term, and f is said to have a root of multiplicity (or “order”) n. If n = 1, the root is called a simple root.(Krantz 1999, p.

After the battle, some of the surviving Redeemers joined the Squadron Supreme, including Haywire.Squadron Supreme #12 Haywire worked with fellow Squadron members to prevent the destruction of their universe by the Nth Man. Haywire witnesses the grisly death of his girlfriend Inertia at the hands of the Nth Man.Squadron Supreme Graphic Novel: Death of a Universe Because of the events of that encounter, the Squadron Supreme became stranded on "mainstream" Earth.

The sequence 0, 3, 8, 15, ... is formed according to the formula n2 − 1 for the nth term: an explicit definition. Alternatively, an integer sequence may be defined by a property which members of the sequence possess and other integers do not possess. For example, we can determine whether a given integer is a perfect number, even though we do not have a formula for the nth perfect number.

1 #3 (August 1964) The Nth metal also regulates the body temperature of the wearer, preventing the need for heavy protective clothing while in high altitudes. It also has the property of radiating heat, which can be controlled to warm the wearer in colder climates.Flash Comics #18 (June 1941). Recently, Kendra has discovered that she had enhanced healing, strength, vision and limited hover abilities when not wearing Nth metal.

DEPEX outlined a deployment that started out very similar to Nth Country, with a few bases primarily using Nike EX to provide lightweight cover, but which also included design features that allowed more bases to be added as the nature of the threat changed. The study described a four-phase deployment sequence that added more and more terminal defenses as the sophistication of the Nth Country missiles increased over time. In December 1966, the Army asked Bell to prepare a detailed deployment concept combining the light defense of Nth Country with the point defense of Hardsite. On 17 January 1967, this became the I-67 project, which delivered its results on 5 July.

Borg was born in Drammen. She has an Msc (sivilingeniør) in applied physics from the Norwegian Institute of Technology (NTH),as of 1996 NTH is part of the Norwegian University of Science and Technology (NTNU) Trondheim, (1982) , and in 1987 she received her PhD in physics at NTNU, with the thesis Infrared spectroscopy for studies of molecular vibrations at surfaces : construction and testing of a wavelength modulation infrared spectrometer. After having finished her PhD, she worked as a post doctor at Stanford University, Stanford Synchrotron Radiation Laboratory in 1988–1989, and held various research positions at NTH, NTNU and SINTEF. In 1998 she was appointed professor at the Department of Physics, NTNU.

In 2013, transmitters were added in the North Midlands, in the North East and in North Wicklow. In 2018 the station broadcast network was Sligo 95.0, Dublin 105.2, Cork 106.7, Galway 87.7, Naas 88.1, South East 103.8, Nth East 99.4, Nth Midlands 101.6, Kilkenny 104.3, Wicklow 106.6, Nth Wicklow 99.5, Limerick 105.5, Ennis/Clare 105.2, Letterkenny 105.7, Kllarney/Tralee 105.0. The format is music driven with the addition of Christmas-themed content, all aimed at creating the 'Magic of Christmas'. Christmas FM song contest voting open to the public on Saturday As a temporary licensed station it does not carry commercial advertising but does have both on-air and online sponsors to cover operational costs each year.

Tor Hagfors was born in Oslo in 1930. He studied at the Norwegian Institute of Technology (NTH) and received his doctorate degree in 1959 from the University of Oslo.

The AVR architecture was conceived by two students at the Norwegian Institute of Technology (NTH),Since 1996, NTH has become part of the Norwegian University of Science and Technology (NTNU) Alf-Egil Bogenalfbogen.com blog and Vegard Wollan. Atmel says that the name AVR is not an acronym and does not stand for anything in particular. The creators of the AVR give no definitive answer as to what the term "AVR" stands for.

By the end of his schooling he was already a gifted speaker winning awards at annual concerts and statewide eisteddfods.Cynosura. Christian Brothers' College, St. Joseph's, Nth. Melbourne [annual magazine] 1940.

Asymptotically, the value of the nth sorting number fluctuates between n\log_2 n-n and n\log_2 n-0.915n depending on the ratio between n and the nearest power of two.

SINTEF was established in 1950 by the Norwegian Institute of Technology (NTH), which was later merged into the Norwegian University of Science and Technology (NTNU). It was originally intended to be an arm of NTH extended towards industry, where professors at NTH saw opportunities to build up a mission research business and used SINTEF as an instrument to do that. Through 1980, the activities were organized as SINTEF departments with the local professor in charge. With that link to the university in mind, the full name was, until a statute change in 2008, the Company for industrial and technical research at the Norwegian Institute of Technology. SINTEF had its strongest growth period in the 1970s, linked to the growing technology demand in the Norwegian oil industry.

The cuboids are added in a sequence that adds to the face in the positive y direction, then the positive x direction, then the positive z direction. This is followed by cuboids added in the negative y, negative x and negative z directions. Each new cuboid added has a length and width that matches the length and width of the face being added to. The height of the nth added cuboid is the nth Padovan number.

The nth central moment is translation-invariant, i.e. for any random variable X and any constant c, we have :\mu_n(X+c)=\mu_n(X).\, For all n, the nth central moment is homogeneous of degree n: :\mu_n(cX)=c^n\mu_n(X).\, Only for n such that n equals 1, 2, or 3 do we have an additivity property for random variables X and Y that are independent: :\mu_n(X+Y)=\mu_n(X)+\mu_n(Y)\, provided n ∈ }.

In number theory, Rosser's theorem was published by J. Barkley Rosser in 1939. Its statement follows. Let pn be the nth prime number. Then for n ≥ 1 :p_n > n \cdot \ln n.

This extension of the theory enables the evaluation of the Nth higher derivative via an elegant mathematical framework. Applications include further refinements in the design of prism pulse compressors and nonlinear optics.

In mathematics and more specifically in field theory, a radical extension of a field K is an extension of K that is obtained by adjoining a sequence of nth roots of elements.

Petroski 2012, p.175-198. The NTH Ring is a ring awarded by the Norwegian University of Science and Technology, to graduates of their Masters of Science in architecture or engineering programs.

Next, he was employed at Kværner Brug in Oslo for two years. He returned to NTH in 1948, where he taught refrigeration engineering, and completed the degree of Doctor Technicae (dr.techn.) in 1950.

If a(n) denotes the nth odious number (with a(0)=1), then for all n, a(a(n))=2a(n). In computer science, an odious number is said to have odd parity.

It was the previously the site of the Norwegian Institute of Technology (NTH) which became a part of the NTNU merger. Most of the university science and engineering buildings are located at Gløshaugen.

They were employed to smuggle the Nth Projector out of Project Pegasus.Marvel Two-in-One #56 As a result of the deception by Roxxon and the Grapplers, Thundra came to blows (yet again) with the Thing (with whom she has expressed a romantic interest in, on more than one occasion). Alongside the Thing, Quasar, Giant- Man, and the Aquarian, she fought the Nth Man.Marvel Two-in-One #58 She encountered the duplicate Hyperion and the Avengers, and battled Ms. Marvel.

The base appears times in the repeated multiplication, because the exponent is . Here, is the 5th power of 3, or 3 raised to the 5th power. The word "raised" is usually omitted, and sometimes "power" as well, so can be simply read "3 to the 5th", or "3 to the 5". Therefore, the exponentiation can be expressed as "b to the power of n", "b to the nth power", "b to the nth", or most briefly as "b to the n".

Constructed of Nth metal by Prince Khufu in ancient Egypt, it was delivered to the newly resurrected Carter Hall by the time-displaced Jay Garrick in JSA Book 3: "The Return of Hawkman". Later, in Superman-Batman Book 1: "Public Enemies", Hawkman used it to defeat Superman, using its Nth metal to channel the Earth's gravitational field. As he explained to Superman, "Essentially, I just hit you with the planet." All versions of Hawkman have shown enhanced levels of strength.

The two hit it off, and before long they were engaged. By the end of that year, three more of her films were released: Forsaking All Others, The Ninety and Nine, and Broken Chains. Look Your Best and The Nth Commandment were released in early 1923, followed by two Cosmopolitan Productions, The Nth Commandment and Through the Dark. By this time, Moore had publicly confirmed her engagement to McCormick, a fact that she had been coy about to the press previously.

To encode a nonzero integer X: # Calculate the largest (or smallest) encodeable number with N bits by summing the odd (or even) negafibonacci numbers from 1 to N. # When it is determined that N bits is just enough to contain X, subtract the Nth negaFibonacci number from X, keeping track of the remainder, and put a one in the Nth bit of the output. # Working downward from the Nth bit to the first one, compare each of the corresponding negaFibonacci numbers to the remainder. Subtract it from the remainder if the absolute value of the difference is less, AND if the next higher bit does not already have a one in it. A one is placed in the appropriate bit if the subtraction is made, or a zero if not.

I-67 was essentially Nth Country but with more bases near Minuteman fields, armed primarily with Sprint. The wide-area Zeus and short-range Sprint bases would both be supported by the PAR network.

"Maslin, Janet (April 28, 1995). "Hipness to the Nth Degree In a Candy-Colored World". The New York Times. C8. Todd McCarthy of Variety called the film "a hopeless and hapless attempt at cool.

Tucker was considered the equal of leading full- forwards such as Bernie Naylor and John Coleman,"ONLY COLEMAN TOPS RON TUCKER, SAYS NTH. MELBOURNE" - The Sunday Times. Published 12 July 1953. Written by Tom Prior.

Zool: Ninja of the Nth Dimension is a platform game originally produced for the Amiga by Gremlin Graphics in 1992. It was later ported to several other platforms and followed by Zool 2 in 1993.

Both the code page 437 (position 252) and Unicode (U+207F SUPERSCRIPT LATIN SMALL LETTER N) have the character ⁿ to represent the nth power of a number or variable in mathematics, for example 3ⁿ.

Within the context of the stories, the Headhunter was a warrior shaman who used Nth metal weapons. He developed a particular fascination with Hawkman, to the point of reanimating the bones of his previous incarnations.

The Grapplers tested these powers by fighting Thundra in a wrestling ring.Marvel Two-In-One #54. Marvel Comics. On their mission, Thundra led them into Project Pegasus to smuggle in the Nth Projector for Roxxon.

Morningwood's self-titled debut album was produced by Gil Norton, known for his work with Pixies, the Foo Fighters, and Echo & the Bunnymen. Singles from the album include "Nth Degree", "Jetsetter" and "New York Girls." In support of the album, the band toured with Mindless Self Indulgence, Head Automatica, Gang of Four, Kasabian, The Sounds and The FireTheft on various legs of their US tour in 2006. Their song "Nth Degree" has been used in several Mercury vehicle commercials, which featured actress Jill Wagner.

There are two alternative methods of disproving a conjecture that something is impossible: by counterexample (constructive proof) and by logical contradiction (non-constructive proof). The obvious way to disprove an impossibility conjecture by providing a single counterexample. For example, Euler proposed that at least n different nth powers were necessary to sum to yet another nth power. The conjecture was disproved in 1966, with a counterexample involving a count of only four different 5th powers summing to another fifth power: :275 \+ 845 \+ 1105 \+ 1335 = 1445.

Euler's sum of powers conjecture was disproved by counterexample. It asserted that at least n nth powers were necessary to sum to another nth power. This conjecture was disproved in 1966, with a counterexample involving n = 5; other n = 5 counterexamples are now known, as well as some n = 4 counterexamples. Witsenhausen's counterexample shows that it is not always true (for control problems) that a quadratic loss function and a linear equation of evolution of the state variable imply optimal control laws that are linear.

Higher powers give correspondingly better rational approximations. This property stems from the fact that for each n, the sum of nth powers of an algebraic integer x and its conjugates is exactly an integer; this follows from an application of Newton's identities. When x is a Pisot number, the nth powers of the other conjugates tend to 0 as n tends to infinity. Since the sum is an integer, the distance from xn to the nearest integer tends to 0 at an exponential rate.

The energy required to detach an electron in its lowest energy state from an atom or molecule of a gas with less net electric charge is called the ionization potential, or ionization energy. The nth ionization energy of an atom is the energy required to detach its nth electron after the first n − 1 electrons have already been detached. Each successive ionization energy is markedly greater than the last. Particularly great increases occur after any given block of atomic orbitals is exhausted of electrons.

Article 181 paragraph 1 Article 231 of the Code de procédure pénale In terms of judicial organisation, the correctional tribunal is one of the chamberschambre, an administrative division of the magistrates at that site, or seat of a tribunal or cour of the tribunal de grande instance. At the largest of these tribunals, several chambers may hear penal matters. Such tribunals number the chambers to distinguish them, and they are referred to as the nth correctional chamber or the nth chamber of the correctional tribunal.

Hofmann received most of his training at the Norwegian Institute of Technology (NTH), (later integrated into NTNU), and UiO. In 1989 he received his MSc in physical electronics and biomedical technology from NTH. He later completed a one-year foundation course in the history of ideas at UiO (1991) and an intermediate level course in philosophy at the University of Tromsø (1994). In 2002 he received his Dr.Philos degree from UiO for his thesis entitled The technological invention of disease: On disease, technology and values.

He was born in Oslo, and became civil engineer at the Norwegian Institute of Technology (NTH- now NTNU) in 1961 and received the dr.philos. degree at the University of Oslo with the thesis Studies on the failure of the first Brown approximation in electron diffraction. He was a research fellow at NTH from 1965 to 1969, worked as a university lecturer from 1969 to 195, researcher at Central Institute for Industrial Research (later SINTEF) from 1976 to 1988. He was appointed professor of chemistry in 1979.

The sequence κn of coefficients of the first-degree terms in a polynomial sequence of binomial type may be termed the cumulants of the polynomial sequence. It can be shown that the whole polynomial sequence of binomial type is determined by its cumulants, in a way discussed in the article titled cumulant. Thus : p_n'(0)=\kappa_n= \, the nth cumulant and : p_n(1)=\mu_n'= \, the nth moment. These are "formal" cumulants and "formal" moments, as opposed to cumulants of a probability distribution and moments of a probability distribution.

Straightforward use of the algorithm would generate n! pieces, but in fact only about n^3/3 are needed as each partner only really needs to do n-1 cuts when the nth partner comes along.

Late 2012 saw the addition of a fifth member, a full time bass player. The second studio album by Nth Ascension entitled Ascension of Kings, was released in late 2014 via Sonic Vista Music to much critical acclaim. Nth Ascension's third album In Fine Initium was released in October 2016 on Melodic Revolution Records garnering much international attention from reviewers and fans. Nth Ascension has been in the studio in 2018 and recorded a new album, to be released on Melodic Revolution Records in 2019. Darrel Treece-Birch joined the melodic hard rock Band Ten in 2011, with whom he has released seven studio albums so far, 2012's Heresy and Creed, 2014's Albion, 2015's Isla De Muerta and EP The Dragon and Saint George, 2016's compilation album Battlefield, 2017's Gothica and 2018's Illuminati.

The 1975/76 NTFL season was the 55th season of the Northern Territory Football League (NTFL). Darwin have won there 20th premiership title while defeating the Nth. Darwin (Palmerston) Magpies in the grand final by 38 points.

Cybersex trafficking occurred in the 2018–2020 Nth room case in South Korea. North Korean women and girls have been subjected to penetrative vaginal and anal rape, groping, and forced masturbation in 'online rape dens' in China.

The license for this reverted to the BBC before the film neared production. The book The Nth Doctor by Jean-Marc Lofficier (Virgin Publishing, 1997) includes synopses of several proposed film story treatments, including those by Byrne.

Lars Onsager was born in Kristiania (now Oslo), Norway. His father was a lawyer. After completing secondary school in Oslo, he attended the Norwegian Institute of Technology (NTH) in Trondheim, graduating as a chemical engineer in 1925.

Avengers Annual #8 She is briefly allied with the duplicate Hyperion while still in service to Roxxon, and with him stole the Nth Projector from the Nth Command, before she returned to an alternate Femizonia which did not interface with Machus.Marvel Two-in-One #67 Sometime later, Thundra was revealed as the Empress of Femizonia. She teamed with the Thing to battle Machan rebels.Fantastic Four #303 She later abducted the Avengers and Fantastic Four to the future to enlist their aid in defending Femizonia from the extra-dimensional warlord Arkon and his warriors from Polemachus.

The key is also treated as an 8×8-bit lookup table, using the first bit of each of the 8 bytes of the half- block as input. The nth bit of the output of this table determines whether or not the two nibbles of the nth byte are swapped after S-box substitution. All rounds use the same table. Each round function ends with a fixed permutation of all 64 bits, preventing the cipher from being broken down and analyzed as a system of simpler independent subciphers.

Depending on design this may be considerably faster than complete sort. Historically, this was commonly implemented using a heap-based algorithm that takes worst-case time. A better algorithm called quickselsort is used in the Copenhagen STL implementation, bringing the complexity down to . Selection of the nth element is implemented by `nth_element`, which actually implements an in-place partial sort: it correctly sorts the nth element, and also ensures that this element partitions so elements before it are less than it, and elements after it are greater than it.

Just before dying, she whispers the words, "Nth metal", the name of the substance that powered the downed ship. Teth-Adam lifts the ship back to Khufu's palace, where it is studied inside the Temple of Horus at Erdu. The remaining Nth metal is examined, and its most obvious property proves to be its ability to negate gravity. The remaining sample from the ship is melted and used to create several remarkable devices, including a scarab which allows Khufu to fly, a deadly knife, and a battle glove referred to as the Claw of Horus.

In an anecdote by G. H. Hardy, a sick Srinivasa Ramanujan (picture) developed the idea of taxicab numbers. In mathematics, the nth taxicab number, typically denoted Ta(n) or Taxicab(n), also called the nth Hardy–Ramanujan number, is defined as the smallest integer that can be expressed as a sum of two positive integer cubes in n distinct ways. The most famous taxicab number is 1729 = Ta(2) = 13 \+ 123 = 93 \+ 103. The name is derived from a conversation in about 1919 involving mathematicians G. H. Hardy and Srinivasa Ramanujan.

Let L be the set of words over the alphabet {a,b} whose nth last letter is an a. The figures show a DFA and a UFA accepting this language for n=2. Deterministic automaton (DFA) for the language L for n=2 Unambiguous finite automaton (UFA) for the language L for n=2 The minimal DFA accepting L has 2n states, one for each subset of {1...n}. There is an UFA of n+1 states which accepts L: it guesses the nth last letter, and then verifies that only n-1 letters remain.

In homological algebra, the horseshoe lemma, also called the simultaneous resolution theorem, is a statement relating resolutions of two objects A' and A to resolutions of extensions of A' by A. It says that if an object A is an extension of A' by A, then a resolution of A can be built up inductively with the nth item in the resolution equal to the coproduct of the nth items in the resolutions of A' and A. The name of the lemma comes from the shape of the diagram illustrating the lemma's hypothesis.

In the days of ancient Egypt, Prince Khufu is engaged in a feud with his rival, the Egyptian priest Hath-Set. The priest eventually captures both Khufu and his consort Chay-Ara, and kills them using a cursed dagger of Nth metal. Millennia later, in 1940, Khufu is reincarnated as American archaeologist Carter Hall, Chay-Ara as Shiera Saunders, and Hath-Set as scientist Anton Hastor. After touching the same Nth Metal dagger used to kill Khufu, Carter regains the memories of his former life and realizes Hastor is the reincarnation of his ancient foe.

In some cases theoretical treatments of problems in terms of cumulants are simpler than those using moments. In particular, when two or more random variables are statistically independent, the nth-order cumulant of their sum is equal to the sum of their nth-order cumulants. As well, the third and higher-order cumulants of a normal distribution are zero, and it is the only distribution with this property. Just as for moments, where joint moments are used for collections of random variables, it is possible to define joint cumulants.

Geometrically, the nth star number is made up of a central point and 12 copies of the (n−1)th triangular number — making it numerically equal to the nth centered dodecagonal number, but differently arranged. Infinitely many star numbers are also triangular numbers, the first four being S1 = 1 = T1, S7 = 253 = T22, S91 = 49141 = T313, and S1261 = 9533161 = T4366 . Infinitely many star numbers are also square numbers, the first four being S1 = 12, S5 = 121 = 112, S45 = 11881 = 1092, and S441 = 1164241 = 10792 . A star prime is a star number that is prime.

The 1979/80 NTFL season was the 59th season of the Northern Territory Football League (NTFL). Darwin Buffaloes have won there 21st premiership title while defeating the Nth. Darwin (Palmerston) Magpies in the grand final by 37 points.

The 1977/78 NTFL season was the 57th season of the Northern Territory Football League (NTFL). St Marys have won their ninth premiership title while defeating the Nth. Darwin (Palmerston) Magpies in the grand final by 23 points.

Vogt graduated as construction engineer from the Norwegian Institute of Technology in 1914, and as dr. techn. in 1924. His thesis, Berechnung und Konstruktion des Wasserschlosses, was published in Germany. He was the first doctorate from the NTH.

In mathematics, a cyclotomic unit (or circular unit) is a unit of an algebraic number field which is the product of numbers of the form (ζ − 1) for ζ an nth root of unity and 0 < a < n.

He lectured at NTH from 1919 to 1931, and then at the Norwegian National Academy of Craft and Art Industry, where he was appointed rector from 1956. In addition to education, Vesterlid was also running an architecture firm.

On 10 August 2020, Equinor announced Opedal's selection as the company's next chief executive officer, a position he would begin on 2 November 2020. Opedal holds an MBA from Heriot-Watt University and an engineering degree from NTH.

Define a discrete- time Markov chain Yn to describe the nth jump of the process and variables S1, S2, S3, ... to describe holding times in each of the states where Si follows the exponential distribution with rate parameter −qYiYi.

Define a discrete-time Markov chain Yn to describe the nth jump of the process and variables S1, S2, S3, ... to describe holding times in each of the states where Si follows the exponential distribution with rate parameter −qYiYi.

If :a_1 is the first term of an arithmetic progression. :a_n is the nth term of an arithmetic progression. :d is the difference between terms of the arithmetic progression. :n is the number of terms in the arithmetic progression.

The 1980/81 NTFL season was the 60th season of the Northern Territory Football League (NTFL). Nth. Darwin (Palmerston) have won their first ever Premiership title while defeating the Wanderers Eagles in the grand final by 6 points (1 goal).

For example, . When addition is used together with other operations, the order of operations becomes important. In the standard order of operations, addition is a lower priority than exponentiation, nth roots, multiplication and division, but is given equal priority to subtraction.

The gap gn between the nth and (n + 1)st prime numbers is an example of an arithmetic function. In this context it is usually denoted dn and called the prime difference function. The function is neither multiplicative nor additive.

The two inverses of tetration are called the super-root and the super-logarithm, analogous to the nth root and the logarithmic functions. None of the three functions are elementary. Tetration is used for the notation of very large numbers.

"Nth Degree" was used in the CW television show One Tree Hill (season 3, episode 14), as was and "Body 21" (season 3, episode 5). "New York Girls" was used in the 2008 film adaptation of HBO's Sex and the City.

At each iteration, the invariant y^n + r = x will hold. The invariant (y+1)^n>x will hold. Thus y is the largest integer less than or equal to the nth root of x, and r is the remainder.

A user nicknamed "God God" created eight groups simply named after their ordinal numeral (hence the name "Nth Room"), and uploaded sexually exploitative pornography. Another user nicknamed "Watchman" advertised the link to these groups in another Telegram group named "Gotham room".

Because she'd had a child just a week previously, Arcanna was forbidden by Power Princess to go; so using her own illusionary abilities, she assumed the guise of Moonglow. With the Squadron, she attempted to save her universe from the Nth Man; however in the process, her son became the new Nth Man, exchanging minds with Thomas Lightner.Squadron Supreme: Death of a Universe The Squadron (and Arcanna) saved their universe, paying the price of exile in an alternate universe (the mainstream Marvel Universe, also named Earth-616). While there, they met Quasar and relocated to Project: Pegasus.

Although a normal Voronoi cell is defined as the set of points closest to a single point in S, an nth-order Voronoi cell is defined as the set of points having a particular set of n points in S as its n nearest neighbors. Higher- order Voronoi diagrams also subdivide space. Higher-order Voronoi diagrams can be generated recursively. To generate the nth-order Voronoi diagram from set S, start with the (n − 1)th-order diagram and replace each cell generated by X = {x1, x2, ..., xn−1} with a Voronoi diagram generated on the set S − X.

The Golden Age Hawkman was said to have the strength of 12 men but later that idea was dropped. Whereas the Golden Age Hawkman's strength appeared natural, it was later explained (with the Silver Age Hawkman) that the Nth metal enables its wielders to carry great weights. The recent incarnation has interpreted this as the Nth metal simply enhancing the strength of the user. Also, several JLA and JSA stories indicate that Thanagar has greater gravity than Earth, and that Thanagarians are naturally stronger than humans because they are adapted to it, similarly to how Atlanteans (e.g.

Squadron Supreme #11 Alongside Nighthawk's Redeemers, she attacked the Squadron Supreme. During the fight, she battled Power Princess and was defeated by Doctor Spectrum.Squadron Supreme #12 Alongside the Squadron Supreme, Professor Imam, and Master Menace, Inertia attacked the Nth Man, a universe-absorbing entity that was encroaching into the Earth-712 universe. Inertia died after an attempt to use her powers against the Nth Man backfired, as he was too large an entity for her to absorb the kinetic energy from, and her body was overloaded by a surge of energy which caused her to disperse in a pink haze.

The expected value is then given by, E(X1) + E(X2) + ... + E(Xn). Since E(Xk) = P(Xk = 1) = 1/(n − k + 1), the sought expected value is 1/n + 1/(n − 1) + 1/(n − 2) + ... + 1 = Hn (the nth harmonic number).

The time scales treated in the book are sufficiently vast, that, the authors find it convenient to use scientific notation. They refer to the "nth cosmological decade," meaning 10n years after the Big Bang. In what follows, n refers to the cosmological decade.

The intermodulation intercept point is a measure of an electrical device's linearity. When driven by two sinusoidal waveforms, it is the theoretical power level at which the power of the desired tone and the nth-order (where n is odd) intermodulation product intersect.

For more information see stationary process. Several sub-types of stationarity are defined: first- order, second-order, nth-order, wide-sense and strict-sense. For details please see the reference above. An ergodic process is one which conforms to the ergodic theorem.

The professorship in hydraulic engineering became vacant when Heggstad retired and stood empty for twelve years until a new professor was appointed to it.Haugsted, Reidar. 1992. Fredrik Vogt og NTH. In: Knut Endresen (ed.), Vår vidunderlige vannkraft—Fredrik Vogt og norsk vannkraftutbygging.

This group is the center of . In particular, it is a normal, abelian subgroup. The center of is simply the set of all scalar matrices with unit determinant, and is isomorphic to the group of nth roots of unity in the field F.

There is no selection as to which firms change prices. Two commonly used time-dependent models are based on papers by John B. Taylor and Guillermo Calvo. In Taylor (1980), firms change prices every nth period. In Calvo (1983), price changes follow a Poisson process.

Simon Plouffe (born June 11, 1956, Saint-Jovite, Quebec) is a mathematician who discovered the Bailey–Borwein–Plouffe formula (BBP algorithm) which permits the computation of the nth binary digit of π, in 1995.; accessed March 23, 2015.BBP algorithm, arxiv.org; accessed March 23, 2015.

Herman Joseph Dohrmann (7 September 1873 - 30 October 1957) was a former Australian rules footballer who played with Carlton in the Victorian Football League (VFL). Dohrmann played with various clubs prior to Carlton, including Carlton Juniors, Collingwood (VFA), and Nth Melbourne (VFA) and Perth (WAFL).

The nth pentagonal number is the sum of n integers starting from n (i.e. from n to 2n-1). The following relationships also hold: :p_n = p_{n-1} + 3n - 2 = 2p_{n-1} - p_{n-2} + 3 Pentagonal numbers are closely related to triangular numbers.

" In 2009, Bob Dylan told The Huffington Post that Prine was one of his favorite writers, stating "Prine's stuff is pure Proustian existentialism. Midwestern mindtrips to the nth degree. And he writes beautiful songs. I remember when Kris Kristofferson first brought him on the scene.

In mathematics, Euclid numbers are integers of the form , where pn# is the nth primorial, i.e. the product of the first n prime numbers. They are named after the ancient Greek mathematician Euclid, in connection with Euclid's theorem that there are infinitely many prime numbers.

Despite his interest in mathematics he became a barrister, specialising in the ecclesiastical law. He was knighted in 1913, the same year he became the Chancellor for the Diocese of London. He was also Chancellor of the dioceses of Newcastle, Southwell, St Albans, Peterborough, Chichester, and Chelmsford. He received the honorary degree DCL from the University of Durham and he was elected a Bencher of the Inner Temple in 1909. In 1876 he published his article On a General Method of describing Plane Curves of the nth degree by Linkwork,A. B. Kempe, (1876) On a General Method of describing Plane Curves of the nth degree by Linkwork.

The Coulombic efficiency is CE=(nCE/nth), where nth is the moles of hydrogen that could be theoretically produced and nCE = CP/(2F) is the moles of hydrogen that could be produced from the measured current, CP is the total coulombs calculated by integrating the current over time, F is Faraday's constant, and 2 is the moles of electrons per mole of hydrogen. The cathodic hydrogen recovery was calculated as RCat = nH2/nCE, where nH2 is the total moles of hydrogen produced. Hydrogen yield (YH2) was calculated as YH2 = nH2 /ns, where ns is substrate removal calculated on the basis of chemical oxygen demand (22).

Since then, all the reigns of kings in the dynasty are also known unofficially as Ratchakan thi nth ('the nth Reign'); hence, the present King's reign is also known as Ratchakan thi sip ('the tenth reign') and extrapolated back to all the earlier kings of the dynasty. Since King Vajiravudh called himself Rama VI in English, the name was seemingly equivalent to Thai Ratchakan thi hok. This rough translation is still in use today, but no other king in the dynasty before him used the name "Rama" as such. However, there have been several kings in the Ayutthaya and Thonburi periods who are best known by the title Ramathibodi ("Overlord Rama").

As such, she was entrusted by the Immortals with the mission of using the Anti-Monitor's astral brain in the Rock of Eternity to destroy the Dark Knights.Dark Nights: Metal #2 (September 2017) However, when she tried to do so, she was interrupted by Barbatos who transformed her into a dark-hawk version of herself called Lady Blackhawk.Dark Knights: Metal #4 (December 2017) It's later revealed that because of Barbatos's influence, Kendra's bond to the Nth Metal was merged into her being. She now boasts an altered physiology reminiscent to her past life as a Thanagarian, which resulted in the grafting of Nth Metal wings to Hawkgirl's back.

Suppose that G is a profinite group acting on a module A with a surjective homomorphism π from the G-module A to itself. Suppose also that G acts trivially on the kernel C of π and that the first cohomology group H1(G,A) is trivial. Then the exact sequence of group cohomology shows that there is an isomorphism between AG/π(AG) and Hom(G,C). Kummer theory is the special case of this when A is the multiplicative group of the separable closure of a field k, G is the Galois group, π is the nth power map, and C the group of nth roots of unity.

If O_n is the nth octahedral number and T_n is the nth tetrahedral number then :O_n+4T_{n-1}=T_{2n-1}. This represents the geometric fact that gluing a tetrahedron onto each of four non-adjacent faces of an octahedron produces a tetrahedron of twice the size. Another relation between octahedral numbers and tetrahedral numbers is also possible, based on the fact that an octahedron may be divided into four tetrahedra each having two adjacent original faces (or alternatively, based on the fact that each square pyramidal number is the sum of two tetrahedral numbers): :O_n = T_n + 2T_{n-1} + T_{n-2}.

Here successive digits of an address refer to the nth argument. Similarly, existing equations may be referred to as "#1" for equation 1 etc. And an address within another equation referred to as "1#234" for the 2nd argument's 3rd argument's 4th argument within equation 1.

In 1961, the company acquired NTH Products of El Cajon, California. In 1968, the company changed its name to Carpenter Technology Corporation to reflect its research and development initiatives. In 1969, the company acquired Gardner Cryogenics, but sued its former shareholders a year later after finding irregularities.

Since the results are given for nth order, a computer program can be developed which will give the results for mode shapes and natural frequencies to the desired accuracy, preempting the need to go through the mathematically arduous task of deriving the higher order expressions algebraically.

Darrel Treece-Birch is an accomplished solo artist who has been signed to Melodic Revolution Records since the summer of 2015 and has released four studio albums with Melodic Revolution Records, including Celestial a two- part digital only release in October 2015, his critically acclaimed album No More Time, August 2016 (which included guest appearances by several of his bandmates from Ten, Nth Ascension and Counterparts UK) , Healing Touch (where he composed, performed, played all instruments, mixed, mastered and produced the work including the original painting for the artwork) October 2017 and finally in December of 2018 releasing his digital only instrumental album The first step...is to take one. 2018 was a record year for Treece-Birch releasing an album with Ten: Illuminati, guesting on Signal Red's Under The Radar, (Steve Grocott's band (guitarist - Ten)), producing, mixing, mastering and performing on Michael-Alan Taylor's (vocalist -Nth Ascension) album Avalonia: The Sonnets of Guinevere, and releasing his album The first step ... is to take one in addition to recording a new album for release in 2019 with Nth Ascension.

As the Norwegian Institute of Technology (NTH) (later the Norwegian University of Science and Technology, NTNU) opened, September 15, 1910, Trondheim got its first real group of students, and the need for an organized student society soon became apparent. Only one week later, a group of students met and decided to create a student society, and yet one week later, on October 1, Norges Tekniske Høgskolens Studentersamfund ("The student society of NTH") first came into existence. In the beginning, membership was limited to NTH students; this was later expanded to all students (over 18) in the Trondheim area, and thus, in 1912, the name changed into Studentersamfundet i Trondhjem ("The student society of Trondheim"), which still is its current name, although the city has switched names twice since. In the first two years, Samfundet did not have its own building, but in 1912, they bought an old abandoned circus building (only called "Circus"), and 15 years later, in 1927, one began the building of the characteristic red round house which is today known as Samfundet.

Real rape videos of women and girls were filmed in the Doctor's Room and Nth room cases in South Korea in late 2010s and early 2020s. Videos showing real rape have been hosted on popular pornographic video sharing and pornography websites. These websites have been criticized by petitioners.

Boston harbour.--no. 10 Rhode Island.--no. 11. Reduced map of New York.--no. 12-14. New York.--no. 15. New Jersey.--no. 16. Pennsylvania.--no. 17. Delaware River. --no. 18-19. Virginia & Maryland.--no. 20-21. Nth & Sth Carolina.--no. 22-23. Sth Carolina & Georgia.--no. 24.

A final major battle with Strange, Hawkman and Despero ensues. Hawkman sacrifices himself by expelling all the Nth metal in his body through the head of Despero. Strange destroys the Zeta crystals, causing an explosion. The aftermath shows that Adam Strange gets trapped in a wrinkle in space-time.

An octahedral packing of spheres may be partitioned into two square pyramids, one upside-down underneath the other, by splitting it along a square cross-section. Therefore, the nth octahedral number O_n can be obtained by adding two consecutive square pyramidal numbers together: :O_n = P_{n-1} + P_n.

In mathematics, a closed-form expression is a mathematical expression expressed using a finite number of standard operations. It may contain constants, variables, certain "well-known" operations (e.g., + − × ÷), and functions (e.g., nth root, exponent, logarithm, trigonometric functions, and inverse hyperbolic functions), but usually no limit, differentiation, or integration.

The general formula is that the nth shell can in principle hold up to 2(n2) electrons.Re: Why do electron shells have set limits ? madsci.org, 17 March 1999, Dan Berger, Faculty Chemistry/Science, Bluffton College For an explanation of why electrons exist in these shells see electron configuration.Electron Subshells.

He graduated from the Norwegian Institute of Technology (NTH) in 1918. He conducted study trips to Gothenburg in 1918; Denmark and Germany in 1930; Hungary and England in 1936. He attended Cranbrook Academy of Art in 1952. He was an assistant to architect Aksel Guldahl from 1918-1919.

In mathematics, more precisely, in the theory of simplicial sets, the Dold–Kan correspondence (named after Albrecht Dold and Daniel Kan) states that there is an equivalence between the category of (nonnegatively graded) chain complexes and the category of simplicial abelian groups. Moreover, under the equivalence, the nth homology group of a chain complex is the nth homotopy group of the corresponding simplicial abelian group, and a chain homotopy corresponds to a simplicial homotopy. (In fact, the correspondence preserves the respective standard model structures.) Example: Let C be a chain complex that has an abelian group A in degree n and zero in other degrees. Then the corresponding simplicial group is the Eilenberg–MacLane space K(A, n).

In mathematics, an nth-order Argand system (named after French mathematician Jean-Robert Argand) is a coordinate system constructed around the nth roots of unity. From the origin, n axes extend such that the angle between each axis and the axes immediately before and after it is 360/n degrees. For example, the number line is the 2nd-order Argand system because the two axes extending from the origin represent 1 and −1, the 2nd roots of unity. The complex plane (sometimes called the Argand plane, also named after Argand) is the 4th-order Argand system because the 4 axes extending from the origin represent 1, i, −1, and −i, the 4th roots of unity.

Since any diffeomorphism for any topology is a special kind of permutation on the discrete events, the permutation group does contain all the different diffeomorphism groups for all possible topologies. There is some evidence from Matrix Models that event-symmetry is included in string theory. A random matrix model can be formed from a random graph model by taking the variables on the links of the graph and arranging them in a N by N square matrix, where N is the number of nodes on the graph. The element of the matrix in the nth column and mth row gives the variable on the link joining the nth nodes to the mth node.

Carmichael numbers can be generalized using concepts of abstract algebra. The above definition states that a composite integer n is Carmichael precisely when the nth-power-raising function pn from the ring Zn of integers modulo n to itself is the identity function. The identity is the only Zn-algebra endomorphism on Zn so we can restate the definition as asking that pn be an algebra endomorphism of Zn. As above, pn satisfies the same property whenever n is prime. The nth-power-raising function pn is also defined on any Zn- algebra A. A theorem states that n is prime if and only if all such functions pn are algebra endomorphisms.

The concentrated solar still implements a method for recovering the latent heat of the distillate vapor not captured and reused by a standard solar still. This is done by using multiple stages of evaporation in series (see multiple-effect evaporator). The latent heat of the distillate vapor produced in the n-1 stage (or effect) is recovered in the nth stage by boiling the leftover concentrated brine from the n-1 stage which produces distillate vapor whose latent heat will be recovered in the n+1 stage by boiling the leftover concentrated brine from the nth stage. Since brine is continuously concentrated in each stage, its boiling point will continue to rise under standard conditions.

Even though the structure of the factorization is known in these cases, the s generally cannot be computed in terms of radicals (nth roots), by the Abel–Ruffini theorem. In most cases, the best that can be done is computing approximate values of the roots with a root-finding algorithm.

Morgenstond III was sold in 2005 to Emsmoon NTH Schiffahrts, Papenburg-Ems, Germany and was renamed Emsmoon. She was placed under the management of Marlow Ship Management, Hamburg, Germany. This was later changed to Grona Shipping GmbH & Co.KG., Leer, Germany. Her port of registry is St. John's, Antigua and Barbuda.

The winning team of the playoffs is awarded the Kongepokal, commonly known as "Bøtta". The Norwegian Ice Hockey Federation and the teams' organization (NTH) also announce a number of awards, among others Gullpucken (the best Norwegian player of the season, regardless of league) and the Most Valuable Player from the playoffs.

Ottaway, Hugh, "Riders to the Sea", The Musical Times, January 1973, p. 45 The composer Edmund Rubbra has characterised this work as less an opera than a "spoken drama raised in emotional power and expressiveness to the nth degree". Rubbra, Edmund, "The Later Vaughan Williams". Music & Letters, January 1937, pp.

They use online payment systems and cryptocurrencies to hide their identities. Millions of reports of its occurrence are sent to authorities annually. New legislation and police procedures are needed to combat this type of cybercrime. An example of cybersex trafficking is the 2018–2020 Nth room case in South Korea.

The puzzle can be played with any number of disks, although many toy versions have around 7 to 9 of them. The minimal number of moves required to solve a Tower of Hanoi puzzle is 2n − 1, where n is the number of disks. This is precisely the nth Mersenne number.

Namely, for a positive integer n, let K be a field in which n is invertible such that K contains a primitive nth root of unity. Then the subgroup of the Brauer group of K killed by n is generated by cyclic algebras of degree n.Gille & Szamuely (2006), Theorem 2.5.7.

Aksel Lydersen (22 February 1919 - 1 September 1995) was a Norwegian engineer and professor in chemical engineering at the Norwegian Institute of Technology (Norwegian: Norges tekniske høgskole, NTH). He was also active in the Norwegian language conflict (målstriden, språkstriden or sprogstriden) and was leader of the Riksmål Society in Norway 1969 to 1974.

He has been a visiting professor at NTH Trondheim (Norway). He served as Editor / Editorial Advisor / National Editor for IPPTA Journal; CSIR Journal, In Paper International, Pulp and Paper International, Urja. He was the Vice Chancellor of Jaypee University of Engineering and Technology, Raghogarh for 12 years. He died on 15 July 2019.

Euler's notation can be used for antidifferentiation in the same way that Lagrange's notation is.Weisstein, Eric W. "Repeated Integral." From MathWorld--A Wolfram Web Resource. as follows :D^{-1}f(x) for a first antiderivative, :D^{-2}f(x) for a second antiderivative, and :D^{-n}f(x) for an nth antiderivative.

Using this information, Paran created a hawk-like battle suit containing advanced technology like his "Nth metal". Katar used this hawk-suit and Paran's advanced weaponry to drive the Manhawks away from Thanagar. That, however, was not the end of the problem. Some Thanagarians had learned the concept of stealing from the Manhawks.

However, once you know the first n − 1 components, the constraint tells you the value of the nth component. Therefore, this vector has n − 1 degrees of freedom. Mathematically, the first vector is the orthogonal, or least-squares, projection of the data vector onto the subspace spanned by the vector of 1's.

All incarnations of Hawkman used the fictional "ninth metal" or "Nth metal" to defy gravity and allow them to fly. The metal is in their costume's belt, boots, and wings. Its abilities are controlled mentally. Their wings allow them to control their flight, though they can be "flapped" through use of shoulder motions.

Jackson set up a used car business called RJ Internet Showroom in 2007, started with £300 and a Vauxhall Cavalier,"Rebecca’s on Fast Track to Success", Get Reading, Reading, 29 March 2013, p. 10. selling budget cars for under £1000.Jones, A. (ed.) (2013) The Nth Degree Club Book, vol. 01, no.

IV, section III. online Ch 3 §12 If one arranges the eigenstates in the order of increasing energies, \epsilon_1,\epsilon_2, \epsilon_3,..., the eigenfunctions likewise fall in the order of increasing number of nodes; the nth eigenfunction has n−1 nodes, between each of which the following eigenfunctions have at least one node.

Integrating factors can be extended to any order, though the form of the equation needed to apply them gets more and more specific as order increases, making them less useful for orders 3 and above. The general idea is to differentiate the function M(x)y n times for an nth order differential equation and combine like terms. This will yield an equation in the form M(x)F(y,y',y,...y^{(n)}) If an nth order equation matches the form F(y,y',y,...y^{(n)}) that is gotten after differentiating n times, one can multiply all terms by the integrating factor and integrate h(x)M(x) n times, dividing by the integrating factor on both sides to achieve the final result.

He was one of 5 brothers and a sister who survived to adulthood. In Wagga a street is named after him. Likewise two of his brothers also have streets with the Kilpatrick name commemorating them, Richard in Shepparton, Victoria and Thomas in Mareeba, Nth Queensland. Richard was a Victorian MLC and Thomas a local councillor.

In the 19th century, Ernst Eduard Kummer studied cyclic extensions of fields as part of his work on Fermat's Last Theorem. This led to the subject now known as Kummer theory. Let k be a field containing a primitive nth root of unity. Kummer theory classifies degree n cyclic field extensions K of k.

Hath-Set, a cruel Egyptian priest, first appeared in Flash Comics (issue #1, January 1940). He leads a rebellion and captures and murders Prince Khufu and Priestess Chay-Ara. He kills them with a cursed dagger which has been forged from Nth Metal. This results in a cycle where all three are reincarnated together.

In the "Brightest Day" storyline, Hath-Set is living in the jungles of Peru. He is allied with "Queen Shrike" the ruler of "Hawkworld", who is Hawkgirl's mother, Khea. Hath-Set and Khea were lovers in ancient Egypt. They created their own immortality using the blood of Hawkman and Hawkgirl, together with the Nth dagger.

A comma sequence defines a musical temperament through a unique sequence of commas at increasing prime limits.. The first comma of the comma sequence is in the q-limit, where q is the nth odd prime, and n is the number of generators. Subsequent commas are in prime limits, each one prime beyond the last.

The term slips is also used to refer to the area of the field where the slip cordon stands, or nth slip used specifically to refer to one slip fielder's position—e.g., a ball may be described as being edged through third slip if it goes where a third slip would otherwise have been.

The following is a list of the official regnal years of the monarchs of the Kingdom of England, Kingdom of Great Britain and United Kingdom from 1066. The regnal calendar ("nth year of the reign of King X", etc.) is used in many official British government and legal documents of historical interest, notably parliamentary statutes.

Unlike Batman, he opts for lethal weapons that allows him to kill swiftly, including but not limited to machine guns, knives, a chain weapon with a batarang attached at the end and various assortment of bladed weapons. Like the inhabitants of the Dark Multiverse, The Batman Who Laughs has a weakness to Nth Metal.

But when , the function f is not even continuous on the set of rational numbers r for which it is defined. For example, consider . The nth root of −1 is −1 for every odd natural number n. So if n is an odd positive integer, if m is odd, and if m is even.

The barycentric subdivision subdivides each edge of the graph. This is a special subdivision, as it always results in a bipartite graph. This procedure can be repeated, so that the nth barycentric subdivision is the barycentric subdivision of the n−1th barycentric subdivision of the graph. The second such subdivision is always a simple graph.

In Squadron Supreme: Death of a Universe, Emil Burbank ages fifteen years after going into the 41st century with Scarlet Centurion to build a device to stop the Nth Man. In Squadron Supreme: New World Order, Emil Burbank is a wheelchair-bound old man, at the mercy of large, multi-national corporations, and using the Squadron's own Utopia technologies.

Another of their songs, "Nü Rock," was used in the video games Burnout Revenge, SSX on Tour, while "Nth Degree" was used for Thrillville. A demo version of a Morningwood song called "Warrior" was used in a Payless ShoeSource TV spot. Morningwood received national exposure in the United States as a finalist in December 2005 Yahoo.com's Who's Next.

Zarda then assumed leadership of the Squadron.Squadron Supreme #8 Zarda participated in the final battled between Nighthawk, who had turned against the Squadron, and his Redeemers. She then disbanded the Squadron.Squadron Supreme #12 (August 1986) Defending the Earth-712 against an attack by the Nth Man, Power Princess and the Squadron Supreme were stranded on Earth-616.

Kirsten Sand (photographed ca. 1919) Kirsten Eleonore Helena Sand (27 November 1895– 12 May 1996) was a Norwegian architect. In 1919, she became the first woman to graduate with full technical competence in architecture from the Norwegian Institute of Technology (NTH). Until the Second World War, she ran her own practice in Oslo where she designed private homes.

A Schröder path of length n is a lattice path from (0,0) to (2n,0) with steps northeast, (1,1); east, (2,0); and southeast, (1,-1), that do not go below the x-axis. The nth Schröder number is the number of Schröder paths of length n. The following figure shows the 6 Schröder paths of length 2. File:Schroeder paths.

Therefore,Pr({ qnp },w(np,k)) = ∅. Contradiction. In any run, A' can only once make a non-deterministic choice that is when it chooses to take a Δ2 transition and rest of the execution of A' is deterministic. Let n be such that it satisfies lemma 1. We make A' to take Δ2 transition at nth step.

The airport resides at an elevation of above mean sea level. It has one runway aligned 07–25 with an asphalt surface measuring . It is owned and operated by Midtnorsk Fly og Luftsportssenter, which is again owned by NTNU Fallskjermklubb (35%), Våningshuset (owned by Røkke, 32%), NTH Flyklubb (17%), Oppdal Municipality (11%) and Oppdal Flyklubb (6%).

First-order logic quantifies only variables that range over individuals; second-order logic, in addition, also quantifies over sets; third-order logic also quantifies over sets of sets, and so on. Higher-order logic is the union of first-, second-, third-, …, nth-order logic; i.e., higher-order logic admits quantification over sets that are nested arbitrarily deeply.

Hawkman and his group of the panthera attack the Manhawks homeworld. When Hawkman arrives and draws his attention, Shiera turns the tables on Hath-Set and uses her legs to snap his neck, killing him. In the meantime, Hawkman is held by Queen Khea's control of Nth metal mace and armor, and she puts Carter with Shiera.

Film critic Noel Vera said the film's formula is "nothing really new" and called it the "nth variation of Roman Holiday" but wrote that Velasquez "brings her own public persona and charisma and sense of humor to the role". Her next film role was in Pangako Ikaw Lang (2001), which reunited her with Bernal and Muhlach.

Orthogonal projection of a cantor cube showing a hexaflake. A hexaflake is a fractal constructed by iteratively exchanging hexagons by a flake of seven hexagons;. it is a special case of the n-flake. The hexaflake has 7n−1 hexagons in its nth iteration, each smaller by 1/3 than the hexagons in the previous iteration.

Trøndelag Flyveselskap operated from Lade from 1946 to 1950. The airline folded and was replaced by Trønderfly, which lasted for one year. Widerøe then started operating at the airport and continued to do so until its closing, although they never operated scheduled services out of the airport. Aviation clubs at the airport were Trondheim Flyklubb and NTH Flyklubb.

Plot of the first 10,000 Pisano periods. In number theory, the nth Pisano period, written '(n), is the period with which the sequence of Fibonacci numbers taken modulo n repeats. Pisano periods are named after Leonardo Pisano, better known as Fibonacci. The existence of periodic functions in Fibonacci numbers was noted by Joseph Louis Lagrange in 1774.

Munchmuseet, Oslo. Einar Frithjof Myklebust (17 May 1922 – 9 June 2017), was a Norwegian architect and professor at NTH (now (NTNU). Einar Myklebust worked between 1953-1964 together with the architect Gunnar Fougner. He was professor from 1964-1970 in Byggekunst IV (monumental architecture), architecture department, Norwegian Institute of Technology (now Norwegian University of Science and Technology), Trondheim.

Jackson was a researcher at IBM Watson Research Center. At IBM she demonstrated that multi-photon ionization is coherently linked with nth order parameter processes. In 1981 she joined the Hughes Research Laboratories, developing optical devices that could be used in military applications. She specialized on Nonlinear optics and diagnostic detection techniques across that across the full electromagnetic spectrum.

Noah Cicero (born October 10, 1980) is an American novelist, short-story writer. He lives in Las Vegas, Nevada. He is the author of six books of fiction and two ebooks. Cicero's stories, poetry, and essays have been published in magazines such as Scarecrow, Brittle Star, Retort, Nth Position, Black Ice, Identity Theory, Prague Literary Review, and many others.

He was born at Verdal in Nord-Trøndelag, Norway. He was the son of Arnold Martin Haukeland (1891–1977) and Lilly Karoline Wallem (1896–1969). He attended the Norwegian Institute of Technology (NTH) in Trondheim where he studied engineering. During the German occupation of Norway, he studied sculpture with Per Palle Storm and Stinius Fredriksen at the Illegal Academy.

South Korean gender profiling lead to the blackmailing of female individuals. For example, in regards to the "Nth room case", females wanting to become models are given job offers through social media leading to them naively taking pornographic imagery of themselves. Users like Cho Joo-bin then blackmail these individuals threatening to release the content to their families.

During early 2020, the Nth room case garnered national attention in South Korea. On 23 March 2020, the Seoul Broadcasting System revealed the personal information of the suspect, Jo, after conducting their own investigation. The next day, police also confirmed his identity. Jo was widely accused for sexual harassment, with some victims reported as minors, including secondary students.

The ancient Greek mathematicians knew how to use compass and straightedge to construct a length equal to the square root of a given length, when an auxiliary line of unit length is given. In 1837 Pierre Wantzel proved that an nth root of a given length cannot be constructed if n is not a power of 2..

Cybersex trafficking and forced performances in live pornographic videos, as seen in the Nth room case and other incidents, is a growing issue. Male and female traffickers in South Korea come from all social and economic classes. Traffickers are often members of or facilitated by crime organizations and gangs. Traffickers use internet websites, email, and apps to lure victims.

A triangle with sides lengths of the supergolden ratio, its inverse, and one has an angle of exactly 120 degrees opposite the ratio length Many of the properties of the supergolden ratio are related to those of the golden ratio. For example, the nth item of Narayana's sequence is the number of ways to tile a 1×n rectangle with 1×1 and 1×3 tiles, while the nth term of the Fibonacci sequence is the number of ways to tile a 1×n rectangle with 1×1 and 1×2 tiles. φ−1=φ−1, and ψ−1=ψ−2. In Fibonacci's rabbit problem, each pair breeds each cycle starting after two cycles, while in Narayana's cow problem, each pair breeds each cycle starting after three cycles.

In a uniform distribution on a discrete space, all probabilities are equal unit fractions. Due to the principle of indifference, probabilities of this form arise frequently in statistical calculations.. Additionally, Zipf's law states that, for many observed phenomena involving the selection of items from an ordered sequence, the probability that the nth item is selected is proportional to the unit fraction 1/n..

Ugelstad was born in Trondheim to Karen Stene (1898-1993) and Petter Endresen Ugelstad (1893-1975), a factory owner. He grew up and attended school in Trondheim. After graduating in 1941 he began to study chemistry at Norwegian Institute of Technology (NTH); the German occupation of Trondheim during World War II delayed his studies and he passed the engineering exam in 1948.

Camille Jordan showed that any algebraic equation may be solved by use of modular functions. This was accomplished by Carl Johannes Thomae in 1870. The process involved replacing the exponential in the nth root and the elliptic modular function in the approach by Hermite, et al. by still more general Siegel modular forms and the integral by a hyperelliptic integral.

Her writings, many of them in the Dakota language, remained an important part of Dakota culture long after her death. Frank White, a representative of the American Missionary Association, paid tribute to her life by characterizing her as "pioneer in the nth power." Many of her correspondences, including her own autobiography and will, are held in the South Dakota State Historical Society.

In mathematics, especially in the field of group theory, a divisible group is an abelian group in which every element can, in some sense, be divided by positive integers, or more accurately, every element is an nth multiple for each positive integer n. Divisible groups are important in understanding the structure of abelian groups, especially because they are the injective abelian groups.

These are related by Pauli's exclusion principle to the antisymmetrized products of the atomic or molecular orbitals. In general, calculating the nth ionization energy requires calculating the energies of Z-n+1 and Z-n electron systems. Calculating these energies exactly is not possible except for the simplest systems (i.e. hydrogen), primarily because of difficulties in integrating the electron correlation terms.

So, when Jughead requests for Kevin not tell Veronica about his sexuality, Kevin willingly agrees. The bulk of the story is about Veronica's cluelessness. As widely considered traditional, predictable, and wholesome publishers to the nth degree for generations, Archie Comics' open recognition of homosexuality through the addition of Kevin Keller came as a surprise to many readers. However, as Lyle Masaki of AfterElton.

Austin and her husband, James Pool practise and teach medical hypnosis. Austin and Pool, trained with surgeon Dr Jack Stanley Gibson, who used hypnosis in over 3,000 operations. Austin also practices Nth Phase, a very deep trance akin to hibernation, where the body needs two breaths a minute to sustain it and begins to emit healing energy.How hypnosis saved my life.

In a symmetric distribution (one that is unaffected by being reflected about its mean), all odd central moments equal zero, because in the formula for the nth moment, each term involving a value of X less than the mean by a certain amount exactly cancels out the term involving a value of X greater than the mean by the same amount.

On some Star Trek maps of the center of the galaxy, the galactic core is regarded as its own area, not part of any of the four Quadrants. The Cytherians, from the Next Generation episode "The Nth Degree," are located near this area. In Star Trek V: The Final Frontier, a "God"-being is encountered from within what is called the "Great Barrier".

Following this, she earned her doctorate in 1972 from the University of Michigan. Her dissertation, Quasiconformal Boundary Correspondences and Extremal Mappings, was supervised by Gehring. After completing her doctorate, she joined the Norwegian Institute of Technology (NTH), which later became part of NTNU. She became a full professor at NTNU in 2001, and retired as a professor emerita in 2011.

In this way, an i.i.d. sequence is different from a Markov sequence, where the probability distribution for the nth random variable is a function of the previous random variable in the sequence (for a first order Markov sequence). An i.i.d. sequence does not imply the probabilities for all elements of the sample space or event space must be the same.

Kjelstrup was born in Oslo. She has an Msc (sivilingeniør) in chemistry from the Norwegian Institute of Technology (NTH), Trondheim, (1971) and her thesis received the honour «commended to the King» (laudabilis cum litteris commendatitiis). This was the first time in the history of the school that a woman received this highest honour. In 1974 she received the degree lic. techn.

Marvel Comics. Hyperion and the other surviving members of the Squadron Supreme travel into space to protect their planet from the expanding Nth Man, and are exiled to the Earth-616 universe.Squadron Supreme: Death of a Universe (June 1989). Marvel Comics. The team encounters the hero Quasar, and take up residence at the government facility Project Pegasus.Quasar #13 (Aug. 1990). Marvel Comics.

Abucay's incumbent elected officials are Mayor Liberato P. Santiago (NPC), a land developer and a nth-time re-electionist, and Vice Mayor Ma. Khristine G. Dela Fuente (Lakas-Kampi-CMD). Santiago owns various villages and subdivisions - all converted from ricefields or fishponds. The eight (8) Sangguniang Bayan members led by the Vice Mayor hold office at the Abucay Sangguniang Bayan Session Hall.

The nth pentagonal number is one third of the th triangular number. In addition, where Tn is the nth triangular number. :p_n = T_{n-1} + n^2 = T_n + 2T_{n-1} = T_{2n-1} - T_{n-1} Generalized pentagonal numbers are obtained from the formula given above, but with n taking values in the sequence 0, 1, −1, 2, −2, 3, −3, 4..., producing the sequence: 0, 1, 2, 5, 7, 12, 15, 22, 26, 35, 40, 51, 57, 70, 77, 92, 100, 117, 126, 145, 155, 176, 187, 210, 222, 247, 260, 287, 301, 330, 345, 376, 392, 425, 442, 477, 495, 532, 551, 590, 610, 651, 672, 715, 737, 782, 805, 852, 876, 925, 950, 1001, 1027, 1080, 1107, 1162, 1190, 1247, 1276, 1335... . Generalized pentagonal numbers are important to Euler's theory of partitions, as expressed in his pentagonal number theorem.

Ugelstad's scientific efforts between 1972 and 1982 made him famous in scientific circles worldwide. Ugelstad approached 60 years and had worked at the Norwegian Institute of Technology (NTH) in Trondheim for 20 years when he in 1976 succeeded to produce monodisperse spheres, i.e. microscopically identical particles. The method is one of the most important in biochemical analysis in the second half of the 1900s.

In stable homotopy theory, a branch of mathematics, the sphere spectrum S is the monoidal unit in the category of spectra. It is the suspension spectrum of S0, i.e., a set of two points. Explicitly, the nth space in the sphere spectrum is the n-dimensional sphere Sn, and the structure maps from the suspension of Sn to Sn+1 are the canonical homeomorphisms.

In the Watchmen sequel Doomsday Clock, Metamorpho is featured on the news as an apparent example of the "Superman Theory", in which the government is thought to bave been experimenting on humans to give them superpowers.Doomsday Clock #3 (January 2018). DC Comics. Metamorpho is transmuted into Nth Metal by Simon Stagg as part of his plot to open the portal to the Dark Multiverse.

In 2016 Fusion was awarded as the Digital Service Management Partner of the Year (Nth EMEA). In 2017 Fusion rebranded to Fusion Global Business Solutions. The new branding was designed to mirror the increase in global business and significant growth in the North American market. In 2017 Fusion started a Salesforce practice in the UK to deliver Salesforce applications to large business and enterprise customers.

Shefford played in the Riverina Schoolboys, Victorian Universities and Group 13 Rugby League representative sides, alongside stints with the Albury Roos, Corowa Cougars, University Saints, Upper Ross Rams, Coburg Lions, Northern Thunder, & the Bribie Island Warrigals clubs; and has coached Bribie Island, Wide Bay 18s, and the Qld Barbarian Women's Rugby League teams. In recent years Shefford has been involved in Masters Rugby League in Nth Qld.

In mathematics, given a ring R, the K-theory spectrum of R is an Ω-spectrum K_R whose nth term is given by, writing \Sigma R for the suspension of R, :(K_R)_n = K_0(\Sigma^n R) \times BGL(\Sigma^n R)^+, where "+" means the Quillen's + construction.Dominique Arlettaz, Algebraic K-theory of rings from a topological view point By definition, K_i(R) = \pi_i(K_R).

He returned to the Cronulla Sharks in 2010 and played a further 3 more NRL Games. After being unsigned by the Cronulla Sharks in 2010, Harlen returned to the QLD Cup with the Northern Pride. Harlen represented the QLD residents side in 2011 after strong performances with the Northern Pride. In 2012 the Nth QLD Cowboys signed the front rower on a one-year deal.

Hawkgirl was originally born as Chay-Ara, the lover of the Egyptian prince Khufu. One night, Khufu and Chay-Ara discovered a Thanagarian ship that had landed on Earth. The ship was made of the mysterious Nth Metal. Exposure to the metal forced Chay-Ara and Khufu, as well as their enemy Hath-Set, into a cycle of endless reincarnation through time and space.

When divided by 2n, the nth row of Pascal's triangle becomes the binomial distribution in the symmetric case where p = 1/2. By the central limit theorem, this distribution approaches the normal distribution as n increases. This can also be seen by applying Stirling's formula to the factorials involved in the formula for combinations. This is related to the operation of discrete convolution in two ways.

Fredrik Vogt in 1934 Fredrik Vogt (23 December 189226 January 1970) was a Norwegian engineer and civil servant. In the 1930s he was a professor and rector at the Norwegian Institute of Technology (Norwegian abbreviation NTH). As the first director general of the Norwegian Water Resources and Energy Agency, he played a central role in developing the hydroelectric power capacity in Norway after the Second World War.

228 (two hundred [and] twenty-eight) is the natural number following 227 and preceding 229. 228 is a refactorable number, and a practical number. There are 228 matchings in a ladder graph with five rungs. 228 is the smallest even number n such that the numerator of the nth Bernoulli number is divisible by a nontrivial square number that is relatively prime to n.

In arrays, nth element can be accessed immediately, while in a linked data structure we have to follow multiple pointers so element access time varies according to where in the structure the element is. In some theoretical models of computation that enforce the constraints of linked structures, such as the pointer machine, many problems require more steps than in the unconstrained random access machine model.

Kaye has edited numerous horror anthologies, and magazines such as H. P. Lovecraft's Magazine of Horror and Sherlock Holmes Mystery Magazine. An anthology he edited, The Fair Folk, won a World Fantasy Award in 2006. In 2011, he became the editor of Weird Tales. Kaye has also been a regular columnist, writing "Marvin Kaye's Nth Dimension" for Space and Time, a science fiction magazine.

However, in his discussion of doomsday machines, Kahn raises the problem of a nuclear-armed Nth country triggering a doomsday machine, and states that he didn't advocate that the US acquire a doomsday machine. The Dead Hand (or "Perimeter") system built by the Soviet Union during the Cold War has been called a "doomsday machine" due to its fail-deadly design and nuclear capabilities.

Including all charged users and free users in "Doctor's Room", the total number of members was confirmed to be 15,000. On March 25, 2020, Korean virtual and cryptocurrency operators agreed to cooperate with authorities in connection with this case, after concluding that the leaders and subscribers of the "Nth Room" paid with virtual currency. By April 27th, almost 40 people were identified from tracing cryptocurrency transfers.

Bosh were a British Christian rock band based in Bournemouth on England's South Coast. The band formed in 1996 around brothers David and Michael Griffiths. Bosh are noted as one of bands that started the Nth Degree Community and Risen Records in the early 2000s. Bosh released four CDs on Risen Records, the EP VII in 2005, and the live album Middle of Somewhere in 2007.

All the references (n:m) found in this article refer to Mahabharata, nth book, mth chapter The mountain Rishabha in Pandya kingdom is mentioned at (Mahabharata 3:85). In the country of the Pandyas are the tirthas (places) named Agastya and Varuna! There, amongst the Pandyas, is the tirtha called the Kumaris (Kanyakumari) (3:88). Thamiraparani and Gokarna are also mentioned in the same passage.

Jim Hallowes, the director of the advertisement, observed on his personal website in 2009 that it was a "challenge...in dealing with a quite different side of Mr. Welles." For decades, the clip was only available in blurry, faded Nth- generation duplicate copies circulated on VHS cassette. In recent years, high- quality versions can easily be found on YouTube. File:Orson Welles Paul Masson Out-take 1.

Walls were sandstone to front (downhill), and lightweight framing clad in "fibro" cladding to the extension the rear (uphill). tongue-and-groove lining boards to the ceiling in the living/dining space. The bedroom had internal wall / ceiling linings of vertical boards (walls), hardboard and boarding.Archnex, 2016, 6 The building was reconfigured in 2018 for use as a pool house (Nth Sydney council DA 468/16).

A holographic representation of Einstein, played by Jim Norton, appeared in two episodes of Star Trek: The Next Generation. He first appears to debate physics with Reginald Barclay in "The Nth Degree". Norton returns in the first part of "Descent". The episode starts on the Enterprise with a game of poker being played by holodeck representations of Einstein, Sir Isaac Newton, and Stephen Hawking (portrayed by himself).

Bormann, E. G. (1996). Symbolic convergence theory and communication in group decision making. In Hirokawa, RY, Scott Poole, M (Ed.), Communication and group decision making, Sage Publications: Thousand Oaks, CA. pp. 2, 81-113 This nth order theory of cybernetics links with "the cybernetics of cybernetics" by assigning to its second order cybernetic concept inferences that may arise from any higher order cybernetics that may exist, if unperceived.

This is the only central tendency measure that can be used with nominal data, which have purely qualitative category assignments. ; Geometric mean: the nth root of the product of the data values, where there are n of these. This measure is valid only for data that are measured absolutely on a strictly positive scale. ; Harmonic mean: the reciprocal of the arithmetic mean of the reciprocals of the data values.

Sesam is a software suite for structural and hydrodynamic analysis of ships and offshore structures. It is based on the displacement formulation of the Finite Element Method. The first version of Sesam was developed at NTH, now Norges Teknisk-Naturvitenskapelige Universitet (NTNU Trondheim), in the mid-1960s. Sesam was bought by Det Norske Veritas, now DNV GL, in 1968 and commercialized under the name SESAM-69 in 1970.

The iterates of the pentagram map shrink any convex polygon exponentially fast to a point. This is to say that the diameter of the nth iterate of a convex polygon is less than K a^n for constants K>0 and 0 which depend on the initial polygon. Here we are taking about the geometric action on the polygons themselves, not on the moduli space of projective equivalence classes of polygons.

In September 2011, The New 52 rebooted DC's continuity. In this new timeline, Hall tries to rid himself of his Hawkman armor by burning and burying it in a forest. However, the Nth metal suit re-bonds with him, preventing Hall from escaping his life as Hawkman.The Savage Hawkman #1 (September 2011) It is later revealed that the current Hawkman is actually Katar Hol, with "Carter Hall" being an assumed identity.

The 2019 Monaghan Intermediate Football Championship will be the nth edition of Monaghan GAA's primary gaelic football tournament for intermediate clubs in County Monaghan, Ireland. Ten teams compete, with the winners representing Monaghan in the AIB GAA Ulster Club Intermediate Football Championship. The championship uses a double-elimination format for Rounds 1 and 2 before becoming knock-out. Doohamlet are the defending champions after defeating Sean McDermott's in the 2018 final.

He earned the M.Sc. degree in electrical engineering at NTH (now NTNU) in 1973, and has been assistant professor at NTNU since 1982. He was elected as a member of the university board in 1999, serving one term. He earned the dr.philos. degree in 2018 with the dissertation On the Dynamics of Money Circulation, Creation and Debt – a Control Systems Approach and was thus promoted to associate professor.

The first full-length CD Breakout was recorded with ICC in the UK. Leeder was the principal songwriter and the album was released in 2006. The song "Take Broken Me" featured a full Salvation Army brass band, organised through Leeder's Salvation Army work. The band played at music festivals such as Nth Fest, Cazfest, Fling Fest and Greenbelt and supported Delirious? on their Omnisonic tour towards the end of 2007.

Telangana news channel Namasthe Telangana recently published her new video song in their portal. Another milestone in her musical career is to become the most popular singer in the worldwide online competition, V.J Traven Music Contest conducted by Malayalam Christian Network. She also associated with Grammy Award winner musician Manoj George for a devotional album, singing the Main song. Shishiram pozhiyum is her debut shortfilm song for the movie Nth Heaven.

A Euclid number of the second kind (also called Kummer number) is an integer of the form En = pn# − 1, where pn# is the nth primorial. The first few such numbers are: :1, 5, 29, 209, 2309, 30029, 510509, 9699689, 223092869, 6469693229, 200560490129, ... As with the Euclid numbers, it is not known whether there are infinitely many prime Kummer numbers. The first of these numbers to be composite is 209.

A runtime library routine may sometimes allow the user program to define a record based on a library call specifying a length. When the user program reads the data, the library retrieves data via the file system and returns a record. Some file systems allow the specification of a fixed record length which is used for all writes and reads. This facilitates locating the nth record as well as updating records.

Scanlon was an animator for Pocahontas II: Journey to a New World, The Indescribable Nth and Joseph: King of Dreams. He served as a storyboard artist for The Little Mermaid II: Return to the Sea and 101 Dalmatians II: Patch's London Adventure. Scanlon joined Pixar in 2001, where he was a story artist for Cars and Toy Story 3. He co-directed the short film Mater and the Ghostlight.

Just day in, day out thugging, slinging, shooting and screwing. The members of G-Unit have elected to portray themselves as inhumane to the nth degree. And for the opportunity, they’d like to thank God."Okayplayer review Artistdirect gave it four stars out of five and said, " G-Unit have effectively found the balance between sex and war, and they're about [to] terminate the competition with extreme prejudice.

Håkon Flood (25 September 1905 – 9 October 2001) was a professor of inorganic chemistry at the Norwegian Institute of Technology in Trondheim, Norway, from 1953 to 1975. He also worked as the director of the Institute of Silicate Research (Institutt for Silikatforskning) at NTH. Professor Flood was one of the pioneers of molten salt chemistry and, together with Hermann Lux, is known for the Lux-Flood theory of acid-base reactions.

Further generalizations were published by Hill in 1995 including analogous statements for both the nth leading digit as well as the joint distribution of the leading n digits, the latter of which leads to a corollary wherein the significant digits are shown to be a statistically dependent quantity. S. Newcomb, Note on the frequency of use of the different digits in natural numbers, Amer. J. Math. 4, 39–40 (1881).).

He gave it a score of four out of four. In 2011, this episode was noted by Forbes as one that explores the implications of advanced technology, especially the connection between people and technology. They compare this to the later episode "The Nth Degree". Also of note, they point out the modifications to the Enterprise-D holodeck, allows it to pass an impromptu turing test by the character Commander Riker.

Afterwards she played leads in one and two reel comedies and appeared in important parts in longer features.Los Angeles Times, She Made Grade At One Jump, November 23, 1923, Page II10. She performed with Colleen Moore in The Nth Commandment (1923) and was the female lead in The Brass Bottle (1923), directed by Maurice Tourneur. She signed a long-term contract with the Vitagraph Studios in June 1924.

In the following, Marvin Minsky defines the numbers to be computed in a manner similar to those defined by Alan Turing in 1936; i.e., as "sequences of digits interpreted as decimal fractions" between 0 and 1: :"A computable number [is] one for which there is a Turing machine which, given n on its initial tape, terminates with the nth digit of that number [encoded on its tape]." (Minsky 1967:159) The key notions in the definition are (1) that some n is specified at the start, (2) for any n the computation only takes a finite number of steps, after which the machine produces the desired output and terminates. An alternate form of (2) – the machine successively prints all n of the digits on its tape, halting after printing the nth – emphasizes Minsky's observation: (3) That by use of a Turing machine, a finite definition – in the form of the machine's table – is being used to define what is a potentially-infinite string of decimal digits.

Every entry in a list holds the necessary data to locate another node. The data in each list entry is typically the IP address, port, and node ID of another node. Every list corresponds to a specific distance from the node. Nodes that can go in the nth list must have a differing nth bit from the node's ID; the first n-1 bits of the candidate ID must match those of the node's ID. This means that it is very easy to populate the first list as 1/2 of the nodes in the network are far away candidates. The next list can use only 1/4 of the nodes in the network (one bit closer than the first), etc. With an ID of 128 bits, every node in the network will classify other nodes in one of 128 different distances, one specific distance per bit. As nodes are encountered on the network, they are added to the lists.

1 from Snarky Puppy, as well as Grammy-nominated album from New Orleans own Cha Wa. Hall has also appeared onstage with Marcus King, Pretty Lights, Dave Matthews Band, and more. In 2012, Hall co-founded The Nth Power, a funk/soul/R&B; band with former Beyonce drummer Nikki Glaspie. In 2015 Hall departed The Nth Power and soon released Nigel Hall Band's critically acclaimed debut Ladies & Gentleman... A Bonnaroo 2013 performance saw Hall share the stage with the likes of Chaka Khan, Willie Weeks, James Gadsden, Derek Trucks, Susan Tedeschi, Solange, members of the Wu-Tang Clan, Anthony Hamilton, SchoolBoy Q, DJ Jazzy Jeff, Chance the Rapper, and Thundercat. As a solo artist, Hall has been nominated for the New Orleans Offbeat awards, won New Orleans Big Easy Award, and has been a featured solo artist at New Orleans Jazz & Heritage Festival for five consecutive years. Hall will be performing at New Orleans’ Essence Music Festival for the first time in July 2019.

When counting in binary, the digit sum modulo 2 is the Thue-Morse sequence To compute the nth element tn, write the number n in binary. If the number of ones in this binary expansion is odd then tn = 1, if even then tn = 0. For this reason John H. Conway et al. call numbers n satisfying tn = 1 odious (for odd) numbers and numbers for which tn = 0 evil (for even) numbers.

At the age of 12, Bolger began taking classes at Muskegon Community College, graduating with an A.A. by the age of 17. He then transferred with those credits to the University of Michigan, majored in sociology, and graduated summa cum laude with a 4.0 grade point average in sociology.A Perpetual Student Pursues Education to the Nth Degree - Chronicle.com From there, he took an internship with the Clinton Administration with Press Secretary Mike McCurry.

In the case that the ground field has characteristic zero, the nth Weyl algebra is a simple Noetherian domain. It has global dimension n, in contrast to the ring it deforms, Sym(V), which has global dimension 2n. It has no finite-dimensional representations. Although this follows from simplicity, it can be more directly shown by taking the trace of σ(X) and σ(Y) for some finite-dimensional representation σ (where ).

Under a particular inversion centered on A, the four initial circles of the Pappus chain are transformed into a stack of four equally sized circles, sandwiched between two parallel lines. This accounts for the height formula hn = n dn and the fact that the original points of tangency lie on a common circle. The height hn of the center of the nth circle above the base diameter ACB equals n times dn.Ogilvy, pp. 54-55.

She typically played what would later be called MILF or "cougar" roles. "I am an exhibitionist, so to take it to the nth degree was obviously where I was going. It took me a little longer to get there than some women but I knew I could be one of the best actresses in adult films, if not the best," she said in an interview. For 67 videos she served as director, writer and producer.

The sums of each row of the triangle, 1, 3, 10, 37, ..., are the same sequence of first differences appearing in the second-from-right diagonal of the triangle.. The nth number in this sequence also counts the number of partitions of n elements into subsets, where one of the subsets is distinguished from the others; for instance, there are 10 ways of partitioning three items into subsets and then choosing one of the subsets..

After that he became director of the FAO fishery Industries Division and later, of the Fisheries Department in Rome from 1970, and Deputy director general of the FAO (UN Food and Agriculture) in Rome, Italy. He graduated from the NTH in hydrology and thermodynamics as his major. He was the son of Adolf Watzinger, a long-time professor of mechanical engineering at the NTNU university in Trondheim, Norway. He died in Peru in 1986.

For the Galois group of a polynomial, these cyclic groups correspond to nth roots (radicals) over some field. The equivalence does not necessarily hold for infinite groups: for example, since every nontrivial subgroup of the group Z of integers under addition is isomorphic to Z itself, it has no composition series, but the normal series {0, Z}, with its only factor group isomorphic to Z, proves that it is in fact solvable.

The Silver Scarab is not pure enough in the eyes of Seketh the Egyptian god of Death, for the pureness of Hector's heart still lives on in his unborn child with Lyta. Therefore, he is not fully cleansed of his goodness and the Silver Scarab is thrown away by the Eye's power, the armor of Nth Metal an empty shell. Northwind is able to close the Eye of Ra, while Hath-Set escapes. Infinity, Inc.

Adam does not believe this because of his relationship with his JLA teammate, Katar Hol (Hawkman), who is from Thanagar. With assistance from Hawkman, Adam Strange determines that the real culprit is Despero. Using his psionic powers, Despero is able to control the minds of the citizens of Rann, Thanagar and Kalanor to incite skirmishes. His main goal is to steal the Nth metal resources and attack Earth with the Zeta crystals.

His arrival leads to a confrontation with Queen Khea, who turns out to be the mother of Shiera Hall. During the fight, Queen Khea controls his Nth metal mace and armor, and Hawkman is tied together with Hawkgirl. Queen Khea opens the gateway and enters the portal to the Zamaron homeworld.Brightest Day #13 (November 2010) When she arrives on the Zamaron homeworld, Star Sapphire (Carol Ferris) frees them both to stop Queen Khea's invasion.

SFI CASA's website SFI is short for Senter for forskningsdrevet innovasjon = Centre for Research-based Innovation, and CASA is part of the SFI scheme administered by the Research Council of Norway.the Research Council's information on SFI CASA Langseth was the Director of another SFI, SIMLab, from 2007 through 2014.SIMLab's website He graduated from the Norwegian Institute of Technology (NTH) as a civil engineer in 1976, and worked for some years as a consulting engineer.

He was born at Christiania (now Oslo), Norway. He was the son of Lauritz Paulsen Havrevold (1859-1940) and Marta Malena Nielsen (1873-1927). He was a brother of writer Finn Havrevold (1905-1988) and psychiatrist Odd Havrevold (1900-1991). After graduating artium 1914 and a year of study in liberal arts at the University of Washington in Seattle, he graduated as a chemistry engineer at Norwegian Institute of Technology (NTH) in Trondheim during 1920.

Historic Fagerhaug railway station (no longer in use) Fagerhaug previously had a train station along the Dovrebanen railway line, but the station is no longer in use. The Oppdal Airport, Fagerhaug is located on the south side of the village. It is used by MFL (Midtnorsk Fly- og Luftsportsenter) for various aviation sport activities, such as parachuting and gliding. This is the home base for NTNU Parachute Club and NTH Soaring Club.

Also in this episode, Captain Picard mispronounces Barclay's name as "Broccoli". In the episode "The Nth Degree", Barclay's brain is mutated by an ancient race from the center of the Milky Way galaxy, the Cytherians, radically increasing his intellect. Under this influence, Barclay seizes control of the Enterprise and brings the ship into contact with the Cytherians. Barclay explains to Picard that they only desire an exchange of information with the Federation.

After assisting in the defeat of Barbatos and the Dark Knights, Hawkgirl is recruited to join the new Justice League.Dark Nights: Metal #6 (March 2018) Searching for answers related to her new Nth Metal wings, Hawkgirl went on a mission to Thanagar Prime with Martian Manhunter and John Stewart. There Kendra encountered Shayera Hol, the Silver Age Hawkgirl. Shayera is shown as the Empress of Thanagar and very protective of the planet's secrets.

The subroutine concept led to the availability of a substantial subroutine library. By 1951, 87 subroutines in the following categories were available for general use: floating point arithmetic; arithmetic operations on complex numbers; checking; division; exponentiation; routines relating to functions; differential equations; special functions; power series; logarithms; miscellaneous; print and layout; quadrature; read (input); nth root; trigonometric functions; counting operations (simulating repeat until loops, while loops and for loops); vectors; and matrices.

Laloo (Sunil Shetty)'s girlfriend Padma (Masumeh Makhija) is fed up of his regular cheating on her. After one such incident she takes a flight to Cape Town to recover some jewels, which are rightfully hers, since her father's partner wrongfully stole them. Padma lands in Cape Town to discover him already there to receive her. After endless bouts of asking for her forgiveness Laloo is finally pardoned for the Nth time.

Due to the increased amount of publicly available resources regarding nuclear weapons, it is reasonable to assume that a viable weapon design could be reached with even less effort today. However in the history of nuclear weapons, the development of fission weapons was never strongly hindered by basic design questions except in the very first nuclear weapons programs. The Summary Report of the Nth Country Experiment was declassified--though heavily excised--in 2003.

Hawkman first appeared in Flash Comics #1 (1940), and was a featured character in that title throughout the 1940s. This Hawkman was Carter Hall, a reincarnation of the ancient Egyptian prince Khufu. Hall discovered that the mysterious "ninth metal" (later changed simply to "Nth metal") could negate the effects of gravity and allow him to fly. He donned a costume with large wings to allow him to control his flight and became the crimefighter, Hawkman.

Sound the Alarms was released in 2008 produced by a team that included Steve Ennever and Paul Burton. The Gloaming Hour EP was released in 2009. They were also a regular feature in the Christian music scene in the UK, playing at Nth Fest, Creation Fest, Greenbelt festival, Grace Festivals, and the Big Church Day Out Festival. They also played outside the Christian music scene and opened for bands such as Frightened Rabbit.

Arnljot Elgsæter (born 19 March 1944 in Kistrand) is a Norwegian physicist. He is now a professor emeritus who held a tenured position at the Department of Physics at the Norwegian Institute of Technology (NTH) / Norwegian University of Science and Technology (NTNU) from 1974 to 2009. While at NTNU, he served twice as department chair and once as dean.Asle Sudbø, "A glance at 2009", Annual Report 2009, Department of Physics, NTNU, retrieved 2012-11-16.

New Tech High School @ Coppell New Tech High @ Coppell (NTH@C) is a secondary high school located in Coppell, Texas, United States, a suburb of Dallas. It is the second high school in the Coppell Independent School District. It is part of the New Tech Network which nationwide has 86 "New Tech" schools. The school had its first senior class in 2011 and has a current enrollment of 486 students with 27 staff members.

Hawkgirl was chosen for one of the seven features in the one-shot comic book. She lives in Chicago, working as a police detective. She is from Thanagar, her mace vibrates like a smartphone when Nth-Metal Thanagarian weapons are near and she has a secret Hawkroom. It is revealed that she did not leave Thanagar on good terms, after some time collecting Thanagarian weapons from crime scenes she started suspecting something was wrong.

The Norwegian Institute of Technology established the Lars Onsager Lecture and The Lars Onsager Professorship in 1993 to award outstanding scientists in the scientific fields of Lars Onsager; Chemistry, Physics and Mathematics. In 1997 his sons and daughter donated his scientific works and professional belongings to NTNU (before 1996 NTH) in Trondheim, Norway as his Alma Mater. These are now organized as The Lars Onsager Archive at the Gunnerus Library in Trondheim.

A perfect spherical formula can be defined as a formula: : (x,y,z)\rightarrow( f(x,y,z)+x_0, g(x,y,z) + y_0, h(x,y,z) + z_0 ) where : (x^2+y^2+z^2)^n = f(x,y,z)^2+ g(x,y,z)^2+h(x,y,z)^2 where f,g and h are nth power rational trinomials and n is an integer. The cubic fractal above is an example.

Zirconium diboride is also investigated as a possible material for nuclear reactor control rods due to the presence of boron and hafnium. :10B + nth → [11B] → α + 7Li + 2.31 MeV. The layered structure provides a plane for helium diffusion to occur. He is formed as a transmutation product of boron-10—it is the alpha particle in the above reaction—and will rapidly migrate through the lattice between the layers of zirconium and boron, however not in the 'z' direction.

The skew binary number system is a non-standard positional numeral system in which the nth digit contributes a value of 2^{n+1} - 1 times the digit (digits are indexed from 0) instead of 2^{n} times as they do in binary. Each digit has a value of 0, 1, or 2. Notice that a number can have many skew binary representations. For example, a decimal number 15 can be written as 1000, 201 and 122.

The PCIe specification refers to this interleaving as data striping. While requiring significant hardware complexity to synchronize (or deskew) the incoming striped data, striping can significantly reduce the latency of the nth byte on a link. While the lanes are not tightly synchronized, there is a limit to the lane to lane skew of 20/8/6 ns for 2.5/5/8 GT/s so the hardware buffers can re-align the striped data.PCI EXPRESS BASE SPECIFICATION, REV.

FAST TCP has been shown to be promising in terms of system stability, throughput and fairness. However, it requires buffering which increases linearly with the number of flows bottlenecked at a link. The paper proposes a new TCP algorithm that extends FAST TCP to achieve (α, n)-proportional fairness in steady state, yielding buffer requirements which grow only as the nth power of the number of flows. The authors call the new algorithm Generalized FAST TCP.

A player should conceive a transition table aiming for the longest output of 1s on the tape while making sure the machine will halt eventually. An nth busy beaver, BB-n or simply "busy beaver" is a Turing machine that wins the n-state Busy Beaver Game. That is, it attains the largest number of 1s among all other possible n-state competing Turing Machines. The BB-2 Turing machine, for instance, achieves four 1s in six steps.

But Fulgentius, who does not know anything, is jealous, and threatens to commit suicide. His girlfriend stops him by openly declaring her love for him, and the two make up. But Fabrizio has also invited to lunch Clorinda: Eugenia, exasperated and jealous, insults the woman and storms away. Lunch takes place dramatically (according to the servants Lisetta and Tognino, which peek from the lock) and shortly after the nth argument, Eugenia and Fulgentius break up - this time forever.

Deligne has proved that the nth cohomology group of an arbitrary algebraic variety has a canonical mixed Hodge structure. This structure is functorial, and compatible with the products of varieties (Künneth isomorphism) and the product in cohomology. For a complete nonsingular variety X this structure is pure of weight n, and the Hodge filtration can be defined through the hypercohomology of the truncated de Rham complex. The proof roughly consists of two parts, taking care of noncompactness and singularities.

Later forms such as Honddey and Honthy have undergone metathesis whereby -ddn- became -ndd- (or -thn- to -nth- in anglicised form). It rises on Mynydd Epynt and flows southwards to join the River Usk at Brecon, which takes its Welsh name (Aberhonddu) from the river. The river has no major tributaries but acquires numerous streams during its 11-mile course. The valley of the Honddu is followed by the B4520 road which runs north from Brecon to Builth Wells.

Euler's notation leaves implicit the variable with respect to which differentiation is being done. However, this variable can also be notated explicitly. When f is a function of a variable x, this is done by writing :D_x f for the first derivative, :D^2_x f for the second derivative, :D^3_x f for the third derivative, and :D^n_x f for the nth derivative. When f is a function of several variables, it's common to use a "∂" rather than .

It is also mentioned in Hawkman: Secret Files and Origins #1 (2002) that Nth metal possesses powers still unknown to Hall. Due to his multiple incarnations and having the memories of all of them, Khufu/Hall has become proficient in many types of weaponry. As a result, he is an expert with a wide array of archaic weapons from his past lives, including battle axes, maces, swords, spears, and shields. As Nighthawk, he was a marksman with a pistol.

However, the metal also strengthens the souls of Khufu and Chay-Ara, binding them together in their love and imprinting them with the collective knowledge of Thanagar. Although the villainous priest Hath-Set murders the two with the knife of Nth metal, their souls live on in the mortal plane. They are reincarnated over many lifetimes, always finding true love in each other, but cursed to be repeatedly killed at the hands of a reincarnated Hath-Set.

Its pattern matching works in conjunction with term rewriting. The basic data structure of Lisp and Prolog is a linear list built by cons operation in a sequential manner, thus with O(n) access to list's nth element. Refal's lists are built and scanned from both ends, with pattern matching working for nested lists as well as the top-level one. In effect, the basic data structure of Refal is a tree rather than a list.

In 1949 an attempt to enter via Sprutfossen and into the main system did not succeed. In 1953 Jakob Otnes from NVE described parts of the cave and reported that during the winter they had succeded in entering 500 meters into the mountain via Sprutfossen. In 1959 an expedition from NTH visited the cave but did not make a report. In 1962 and 1964 the British cave club "Explorer's club" from Haberdasher's Aske's Hatcham School explored Jordbrugrotta.

The Newton polygon of an F-isocrystal encodes the dimensions of the pieces of given slope. If the F-isocrystal is a sum of isoclinic pieces with slopes s1 < s2 < ... and dimensions (as Witt ring modules) d1, d2,... then the Newton polygon has vertices (0,0), (x1, y1), (x2, y2),... where the nth line segment joining the vertices has slope sn = (yn−yn−1)/(xn−xn−1) and projection onto the x-axis of length dn = xn − xn−1.

OBJ files, due to their list structure, are able to reference vertices, normals, etc. either by their absolute position (1 represents the first defined vertex, N representing the Nth defined vertex), or by their relative position (-1 represents the latest defined vertex). However, not all software supports the latter approach, and conversely some software inherently writes only the latter form (due to the convenience of appending elements without needing to recalculate vertex offsets, etc.), leading to occasional incompatibilities.

In 2013, NTH won several tournaments such as the StarLadder Season 5 LAN. In April 2013, s4, along with AdmiralBuldog, Akke, EGM, and Loda moved to Alliance \- a world-renowned esports organization. With Alliance, they won the year's biggest tournament, The International 3, and without losing a series and only losing 3 games; two of which in the final best of 5 game series. As a result, s4 was the highest earning eSports player in 2013.

The first crystal structure of a DNA glycosylase was obtained for E. coli Nth. This structure revealed that the enzyme flips the damaged base out of the double helix into an active site pocket in order to excise it. Other glycosylases have since been found to follow the same general paradigm, including human UNG pictured below. To cleave the N-glycosidic bond, monofunctional glycosylases use an activated water molecule to attack carbon 1 of the substrate.

A puppet show in which explains the structure of the world to young penguins Pita and Gora. A recurring situation is that, while discussing each topic, Encyclopedia would often say "The details are on my Nth page", to what the Penguins, after looking at said page, respond "We're children, so we can't read..." After that, the three call upon an anthropomorphic dog-like TV, who shows them a video about the topic. A mouse called Suu is also featured.

Candido devised his eponymous identity to prove that (F_n^2 +F_{n+1}^2 +F_{n+2}^2 )^2= 2(F_n^4 +F_{n+1}^4 +F_{n+2}^4 ) where Fn is the nth Fibonacci number. The identity of Candido is that, for all real numbers x and y, (x^2 +y^2 +(x+y)^2 )^2= 2(x^4 +y^4 +(x+y)^4 ) It is easy to prove that the identity holds in any commutative ring.

He holds a master of technology in Engineering physics from NTH in 1969, and received a Ph.D. in biophysics from University of California, Berkeley in 1971, under the supervision of Daniel Branton.People: Prof. Arnljot Elgsaeter, Waywiser, Harvard University Department of the History of Science, retrieved 2012-11-16. Arnljot Elgsæter is a member of the Royal Norwegian Society of Sciences and LettersGruppe V Biokjemi, biofysikk og molekylær biologi Royal Norwegian Society of Sciences and Letters, retrieved 2012-11-26.

Like Hawkman, she retains the knowledge of several lifetimes worth of fighting. Her preferred weapons are a spear or mace, but she has also been depicted using swords, axes, warhammers, shields, and other melee weapons. She possesses shooting skills from her times as the gunfighter, Cinnamon. In addition, the Nth metal knife which murdered Hawkgirl in her original incarnation as Chay-Ara had an unusual effect upon her soul and that of her lover Khufu (Hawkman).

A Kynea number is an integer of the form :4^n + 2^{n + 1} - 1. An equivalent formula is :(2^n + 1)^2 - 2. This indicates that a Kynea number is the nth power of 4 plus the (n + 1)th Mersenne number. Kynea numbers were studied by Cletus Emmanuel who named them after a baby girl. The sequence of Kynea numbers starts with: : 7, 23, 79, 287, 1087, 4223, 16639, 66047, 263167, 1050623, 4198399, 16785407, ... .

Sem Sæland (17 April 1874 - 25 April 1940) was a Norwegian physicist. He was a physics Professor at the Norwegian Institute of Technology (NTH) from 1910, and at the University of Oslo from 1922. He served as rector of the University of Oslo from 1927 to 1936. Sæland was a Commander of the Royal Norwegian Order of St. Olav, a Grand Knight of the Order of the Falcon, and a Commander of the Order of the Crown of Italy.

During this time, she also played as the role of MC in both Vietnamese and English for many shows including domestic and foreign. \- From 2011–present: Nguyen Thi Huyen terminate the employment contract at VTV4, do not participate in the MC role, not to participate and answer press on the media. She focused business and open her own Communication company called "NTH Communication". \- From 2012–present: Nguyen Thi Huyen currently PhD student at the Academy of Journalism and Communication.

Those already in the hotel will be moved to room (n^2+n)/2, or the nth triangular number. Those in a coach will be in room ((c+n-1)^2+c+n-1)/2+n, or the (c+n-1) triangular number plus n. In this way all the rooms will be filled by one, and only one, guest. This pairing function can be demonstrated visually by structuring the hotel as a one-room-deep, infinitely tall pyramid.

One way to generate fairly accurate square wave signals with 1/n duty factor, where n is an integer, is to vary the duty cycle until the nth-harmonic is significantly suppressed. For audio-band signals, this can even be done "by ear"; for example, a -40dB reduction in the 3rd harmonic corresponds to setting the duty factor to 1/3 with a precision of 1% and -60 dB reduction corresponds to a precision of 0.1%.

Every subfield of a cyclotomic field is an abelian extension of the rationals. It follows that every nth root of unity may be expressed in term of k-roots, with various k not exceeding φ(n). In these cases Galois theory can be written out explicitly in terms of Gaussian periods: this theory from the Disquisitiones Arithmeticae of Gauss was published many years before Galois.The Disquisitiones was published in 1801, Galois was born in 1811, died in 1832, but wasn't published until 1846.

Keckler's poetry characteristically views nature as autonomous from the humanly-constructed world and attempts to chart the rhythms of this autonomy. Recent collections have seen the introduction of works produced in collaboration with artificial intelligence entities and conversations with artificial intelligence entities. Keckler's poetry has appeared in numerous anthologies, including Isn't It Romantic: 100 Love Poems by Younger American Poets (Wave Books, NYC), In the Criminal's Cabinet (nth position, London) and poem, home: An Ars Poetica (Paper Kite Press, 2009).

Reviewing the 1953 edition, Groff Conklin described Smith's writing as "pretty dull going for people who want a bit more than thud and blunder.""Galaxy's 5 Star Shelf", Galaxy Science Fiction, November 1953, p.80 P. Schuyler Miller called the novel "space opera to the nth degree," saying "you either like it a lot—though you probably won't believe a word of it—or you can't stand it at all"."The Reference Library", Astounding Science Fiction, November 1953, p.150.

In comparison to the Taylor series, which consists of a series of derivatives of some function, the nth factorial moment measure plays the roll as that of the n th derivative the Taylor series. In other words, given a general functional f of some simple point process, then this Taylor-like theorem for non-Poisson point processes means an expansion exists for the expectation of the function E, provided some mathematical condition is satisfied, which ensures convergence of the expansion.

He locked the Stranger in a stalemated mental battle. When several Watchers arrived on an unrelated business the Overmind was wrought by paranoia, believing the Stranger to have summoned them for assistance, inducing psychosis, and enabling the Stranger to capture him as a subject of study.Quasar #16 The Overmind's future counterpart travels back in time to present-day Squadron-Earth to aid the Scarlet Centurion in repulsing the expanding Nth Man. His head explodes from the effort and he dies.

Upon finding the ancient knife Hath-Set used to kill him, Hall regains his memories of his past life and recognizes Hastor as the reincarnated evil priest. Using the properties of "Nth metal" to craft a gravity-defying belt, Hall creates wings and a costume, ultimately confronting Hastor as Hawkman after Anton captured Shiera with a spell that drew her to his lair. He also encounters and remembers Shiera during this time. Following Hastor's defeat, the two begin a romance.

They previously played at Mossfiel Reserve, which is now a rugby football field. Founded in 1971, the 'Reds' have won 5 senior championships (1999, 2001, 2012, 2014, & 2015) and will compete in the Football Federation Victoria State League 2 Nth/West division in 2017. One of the most popular clubs in the region, Hoppers Crossing SC currently field 20 teams across junior, senior and masters age groups. The Hoppers Crossing Football Club, nicknamed the 'Warriors', play at Hogans Road Reserve.

The theorem is a direct corollary of the following lemma: Suppose that the nth ray makes an angle \gamma_n with the normal to the baseline. If \gamma_n is parameterized according to the equation, \tan \gamma_n = \sinh\theta_n, then values of \theta_n = a + nb, where a and b are real constants, define a sequence of rays that satisfy the condition of equal incircles, and furthermore any sequence of rays satisfying the condition can be produced by suitable choice of the constants a and b.

Captain America #217 He later becomes Marvel Man,Captain America #218 (Feb 1978) and finally settles on Quasar.Incredible Hulk #234 (April 1979) Alongside Captain America, the Falcon, and Hulk, he battles Moonstone and the Corporation.Captain America #229-230; Incredible Hulk #232-234 Later, as security chief of Project: Pegasus, he battles the original Deathlok, Nuklo, the Grapplers, and the Nth Man when they attack the facility.Marvel Two-in-One #53-58 Quasar later journeys with the Thing into an alternate reality.

By 1967 the debate over ABM systems had become a major public policy issue, with almost continual debate on the topic in newspapers and magazines. It was in the midst of these debates, on 17 June 1967, that the Chinese tested their first H-bomb in Test No. 6. Suddenly the Nth Country concept was no longer simply theoretical. McNamara seized on this event as a way to deflect criticism over the lack of deployment while still keeping costs under control.

CAD Overlay was derived from a custom AutoCAD application developed using the Nth Engine graphics board in 1987 by David Chassin for Image Integration Technology, a scanning service bureau in Schenectady, New York. In January 1988 Bob Godgart, David Chassin and Michael Mayernik formed Image Systems Technology in Troy, New York. The first version of CAD Overlay was demonstrated at A/E/C trade show in Chicago in May 1988. Subsequent versions include CAD Overlay ESP, CAD Overlay GSX, and CAD Overlay LFX.

Jim Nicholson of American International Pictures had the rights to Homer Eon Flint's novel The Nth Man (1928), about a man who was 10 miles high. Nicholson thought it could be adapted to cash in on the success of The Incredible Shrinking Man (released six months earlier in 1957) and originally announced Roger Corman as director. Charles B. Griffith was hired to adapt the novel, and he turned it into a comedy. Then Corman dropped out, and Bert I. Gordon was hired.

Fibonacci sequence on a building in Gothenburg In mathematics, an integer sequence is a sequence (i.e., an ordered list) of integers. An integer sequence may be specified explicitly by giving a formula for its nth term, or implicitly by giving a relationship between its terms. For example, the sequence 0, 1, 1, 2, 3, 5, 8, 13, ... (the Fibonacci sequence) is formed by starting with 0 and 1 and then adding any two consecutive terms to obtain the next one: an implicit description.

In mathematics, the Liouvillian functions comprise a set of functions including the elementary functions and their repeated integrals. Liouvillian functions can be recursively defined as integrals of other Liouvillian functions. More explicitly, it is a function of one variable which is the composition of a finite number of arithmetic operations , exponentials, constants, solutions of algebraic equations (a generalization of nth roots), and antiderivatives. The logarithm function does not need to be explicitly included since it is the integral of 1/x.

Dr. Thomas Lightner was a scientist who rebuilt his father's Sky Cannon after his father Raymond disappeared during a mishap with the device. A similar mishap with the rebuilt device caused the energies from Raymond to merge with Thomas, giving Thomas the powers of a black hole. Thomas' body could not contain these vast energies for long, and he collapsed and returned to his normal form. Lightner was later contacted by the Nth Command to infiltrate and sabotage Project: Pegasus.

In mathematics, especially in the area of algebraic topology known as stable homotopy theory, the Adams filtration and the Adams–Novikov filtration allow a stable homotopy group to be understood as built from layers, the nth layer containing just those maps which require at most n auxiliary spaces in order to be a composition of homologically trivial maps. These filtrations, named after Frank Adams and Sergei Novikov, are of particular interest because the Adams (–Novikov) spectral sequence converges to them.

Khayyam was famous during his life as a mathematician. His surviving mathematical works include: A commentary on the difficulties concerning the postulates of Euclid's Elements (, completed in December 1077), On the division of a quadrant of a circle (, undated but completed prior to the treatise on algebra), and On proofs for problems concerning Algebra (, most likely completed in 1079). He furthermore wrote a treatise on the extracting binomial theorem and the nth root of natural numbers, which has been lost.

For example, if a quantity is constant within the whole interval, approximating it with a second-order Taylor series will not increase the accuracy. In the case of a smooth function, the nth-order approximation is a polynomial of degree n, which is obtained by truncating the Taylor series to this degree. The formal usage of order of approximation corresponds to the omission of some terms of the series used in the expansion (usually the higher terms). This affects accuracy.

The time of the nth rider of a team counts for the classification for each team member. In the 2009 edition of Tour de France, riders who are dropped from their team's group would be scored with their own time, instead of the team time. ; Technical: A description of a trail or trail feature requiring "technical" skill to ride well. A technical climb, for example, may have an uneven surface and tight turns making the ascent challenging without well developed mountain biking skills.

But his interests for natural science took over so that in 1909 he started this field of study at University of Oslo. His work there was interrupted in the period 1911-12 when he was an assistant for Sem Sæland at the newly established Norwegian Institute of Technology (NTH) in Trondheim. Back in Oslo he took up investigations of X-ray crystallography with Lars Vegard. With his help he could pursue this work at University of Berlin starting in the spring of 1914.

The primitive attempt in dealing with differential equations had in view a reduction to quadratures. As it had been the hope of eighteenth- century algebraists to find a method for solving the general equation of the nth degree, so it was the hope of analysts to find a general method for integrating any differential equation. Gauss (1799) showed, however, that complex differential equations require complex numbers. Hence, analysts began to substitute the study of functions, thus opening a new and fertile field.

Hawkgirl owes her powers to a belt of Nth metal, a substance native to the planet Thanagar (once home of another pair of Hawk-heroes, Katar Hol and Hawkwoman). The metal is psycho-reactive, responding to its bearer's thoughts and in its base form has a number of electromagnetic/gravitational properties. To the Hawks, it grants the power of flight, superhuman strength, super-acute vision, and an enhanced healing/regeneration ability. Additionally, she displays advanced hand-to-hand combat skills.

In late 2001, he was selected in the school's 1st XIII at age 15. In June 2002, Simpson represented St Brendan's College at Confraternity Carnival for the 2nd XIII. In August the same year, Jamie was part of the only 2nd XIII to win the local Open Schoolboys competition against Nth Rocky High School after the 1st XIII withdrew to compete in the arrive alive competition. This historic win came after an overtime game which saw Jamie play a high-impact game.

He was led to argue that the doctrine of nth roots in algebra (one contribution of Wallis) did not adequately model the geometric notions based on area and volume. René François Walter de Sluse walked through Hobbes's proof in one version, clearing the radicals to come down to a numerical assertion it implied (97,336 = 97,556), which could only be accepted as an approximation.Jesseph, p. 270. Hobbes replied with an idiosyncratic appeal to a form of dimensional analysis, where algebraic quantities are non- dimensional.

It might seem simpler to just feed the PLL a lower frequency, but in some cases the reference frequency may be constrained by other issues, and then the reference divider is useful. Frequency multiplication can also be attained by locking the VCO output to the Nth harmonic of the reference signal. Instead of a simple phase detector, the design uses a harmonic mixer (sampling mixer). The harmonic mixer turns the reference signal into an impulse train that is rich in harmonics.

Qadir Ali Baig was an eminent theatre personality from Hyderabad. Between 1970 and 1984, Qader Ali was an important figure in the Hyderabad theatre circuit. He formed the New Theatre of Hyderabad (NTH) in 1970 and featured in plays like Sakharam Binder, Adhey Adhoore, Khamosh Adalat Jaari Hai and Kehron Ke Rajhans. His period plays had sets and props that recreated the magnificence of the Mughal and the Asaf Jahi eras in plays like Quli Qutb Shah,Tana Shah, Mahboob-e-Deccan and Kohinoor ka Lutera.

In the paper "Metcalfe's Law is Wrong","Metcalfe's Law is Wrong". Bob Briscoe, Andrew Odlyzko, and Benjamin Tilly, July 2006 IEEE Spectrum. Andrew Odlyzko argues that the incremental value of adding one person to a network of n people is approximately the nth harmonic number, so the total value of the network is approximately n log n. Since this curves upward (unlike Sarnoff's law), it implies that Metcalfe's conclusion – that there is a critical mass in networks, leading to a network effect – is qualitatively correct.

Dr. Bill Foster later joins the staff of Project Pegasus, the U.S. government's semi-secret energy research facility, as a biochemical researcher. While there, he reveals his Black Goliath identity to the Thing working (at the time) in security for Project: Pegasus. In the process of answering an emergency alarm, Foster decides to change his alias to the name "Giant-Man" at Ben Grimm's suggestion. Alongside the Thing, Quasar, and the Aquarian, Giant-Man defends Project: Pegasus against Nuklo, the Grapplers, Klaw, Solarr, and the Nth Man.

A homology class is thus represented by a cycle which is not the boundary of any submanifold: the cycle represents a hole, namely a hypothetical manifold whose boundary would be that cycle, but which is "not there". There are many different homology theories. A particular type of mathematical object, such as a topological space or a group, may have one or more associated homology theories. When the underlying object has a geometric interpretation as topological spaces do, the nth homology group represents behavior in dimension n.

What's the probability of selling the last candy bar at the nth house? Successfully selling candy enough times is what defines our stopping criterion (as opposed to failing to sell it), so k in this case represents the number of failures and r represents the number of successes. Recall that the NegBin(r, p) distribution describes the probability of k failures and r successes in k + r Bernoulli(p) trials with success on the last trial. Selling five candy bars means getting five successes.

Arrested in East Berlin while attempting to rebuild the Berlin Wall (a symbolic gesture), and repatriated to Canada, Réjean starts again working. One day he faces the inspector Gobeil, telling him he's a madmen and threatening him if he continues to torment his father. During the nth robbery, Alain is taken hostage and then exchanged with his father. Mr. Brochu, saved by police, begins to reflect on the fact that his desire to keep the family together with the work in the gas station is dismembering it.

Cleared from South Melbourne on 12 May 1920,Sporting: Football: Permits Granted, The Argus, (Thursday, 13 May 1920), p.5. he played three matches for Footscray in the VFA — on 15 May,Pt. Melb. v. Footscray, The Herald, (Saturday, 15 May 1920), p.2; Footscray's Third Win, The Argus, (Monday, 17 May 1920), p.5; Merricks, C., "Athletics", The Advocate, (Thursday, 20 May 1920), p.25. 22 May,Footsc'y v. Nth. Melb., The Herald, (Saturday, 22 May 1920), p.2. and 29 MayHawthorn v.

In mathematics, the Nørlund–Rice integral, sometimes called Rice's method, relates the nth forward difference of a function to a line integral on the complex plane. It commonly appears in the theory of finite differences and has also been applied in computer science and graph theory to estimate binary tree lengths. It is named in honour of Niels Erik Nørlund and Stephen O. Rice. Nørlund's contribution was to define the integral; Rice's contribution was to demonstrate its utility by applying saddle-point techniques to its evaluation.

Let X1, X2, ... be an infinite sequence of independent and identically distributed random variables. The initial rank of the nth term of this sequence is the value r such that for exactly r values of i less than or equal to n. Let denote the stochastic process consisting of the terms Xi having initial rank k; that is, Yk,j is the jth term of the stochastic process that achieves initial rank k. The sequence Yk is called the sequence of kth partial records.

Dissertation in full-text version (PDF) After his studies at NTH he worked with medical technology at Lillehammer Hospital and with health applications at Telenor Research. Between 2004 and 2013 he worked as a researcher at the Norwegian Knowledge Centre for the Health Services. He has been working as a professor at the University College of Gjøvik and at the University of Oslo. When the University College of Gjøvik merged with NTNU in 2016, he became a professor at the Norwegian University of Science and Technology (NTNU).

A RNN (often a LSTM) where a series is decomposed into a number of scales where every scale informs the primary length between two consecutive points. A first order scale consists of a normal RNN, a second order consists of all points separated by two indices and so on. The Nth order RNN connects the first and last node. The outputs from all the various scales are treated as a Committee of Machines and the associated scores are used genetically for the next iteration.

The season was continuously active, with six storms forming during the month of August alone. At the time, many storms received the distinction of being the earliest nth storm to form, such as the earliest fifth tropical storm to form in a season. Most of the records were broken in later years. During the season, the U.S. Weather Bureau issued storm and hurricane warnings for eight storms, including coastal portions of Texas, as well as from Florida to Massachusetts, forcing the evacuations of thousands of people.

Eventually the relationship dissolved and Red Arrow left the Justice League.Justice League of America #30 (February 2009) While in a mission with the Justice League inside the Prison Planet, Hawkgirl discovered another ability provided by the Nth Metal, the power to weaken forces drawn from the fabric of space-time. Thus, Kendra was the only member not affected by Kanjar Ro, enabling her to fight against the villain and rescue her friends. Hawkgirl then left the Justice League due to injuries sustained in Final Crisis.

In bosonic string theory, the attempt is to compute the possible energy levels of a string, in particular the lowest energy level. Speaking informally, each harmonic of the string can be viewed as a collection of D − 2 independent quantum harmonic oscillators, one for each transverse direction, where D is the dimension of spacetime. If the fundamental oscillation frequency is ω then the energy in an oscillator contributing to the nth harmonic is . So using the divergent series, the sum over all harmonics is .

Vogt resumed his position as rector at NTH from May 1945. He served as director general of the Norwegian Water Resources and Energy Agency from 1947 to 1960. During this period the Norwegian Government completed several large hydroelectric power plants, increasing the state-owned total annual production capacity from about two to nearly eight TWh. Internationally, he chaired the Organisation for European Economic Co-operation Electricity Committee from 1954 to 1957, and was member of a World Bank committee for supervising power stations funded by the bank.

If F is an algebraically closed field and n is a natural number, then F contains all nth roots of unity, because these are (by definition) the n (not necessarily distinct) zeroes of the polynomial xn − 1\. A field extension that is contained in an extension generated by the roots of unity is a cyclotomic extension, and the extension of a field generated by all roots of unity is sometimes called its cyclotomic closure. Thus algebraically closed fields are cyclotomically closed. The converse is not true.

Heradstveit: 52 Additional Norsk Data shares were issued in May 1968, bringing the share capital to NOK 894,000. New investors included Norsk Elektrisk & Brown Boveri (NEBB),Habberstad and Tharald Brøvig Jr..Heradstveit: 56 The first Nord-1 was inaugurated on 21 May 1968 and sent to the Norwegian Institute of Technology (NTH) to have instruments installed.Heradstveit: 57 It spent a year in Trondheim and was constantly needing repairs. However, once it was not constantly being tweaked by engineers it operated for eighteen months without any failures.

The novel belongs to the Dying Earth subgenre. It is rooted in hard science fiction, but also incorporates several other genres, including fantasy and horror. Bear called it science fiction "stretched to the nth degree". He said that in the novel he honors those writers who changed the face of science fiction and fantasy, including William Hope Hodgson and Arthur C. Clarke, and pays homage to Hodgson's 1912 novel, The Night Land, with which City at the End of Time shares a number of plot elements.

Other features included placement and preview of lights, manipulation of OBJ MTL files, and facilitation of scanline or wire frame rendering via an external render module. A unique feature to draw every Nth polygon of a model, was essential for visualizing animation of 'heavy' scenes during manipulation. Render featured raytraced-shadows, raytraced reflections, transparency, texture maps, bump mapping, Lambert and Phong reflections. Kinemation - an 'advanced' animation system that allowed for the manipulation of geometry using Inverse Kinematics (IK), geometric skinning to 'bones' featuring lattice based deformations.

A well known quote from Stamp (often referred to as Stamp's Law) is: :"The government are very keen on amassing statistics. They collect them, add them, raise them to the nth power, take the cube root and prepare wonderful diagrams. But you must never forget that every one of these figures comes in the first instance from the chowky dar (village watchman in India), who just puts down what he damn pleases." (Stamp recounting a story from Harold Cox who quotes an anonymous English judge).

The second terminal, from 1965, as it stands in 2009 After World War II, there was only general aviation at Værnes, organized by two clubs, Værnes flyklubb and NTH flyklubb. From 1 August 1946 to 31 July 1947, there were 1,221 take-offs from Værnes, mostly during the summer. During parts of 1946 and 1947, the airport was used as a pasture for sheep. The first scheduled service was introduced with a Douglas DC-3 operated to Oslo by DNL during the winter of 1947–48.

A real number is a computable number if there is an algorithm that, given a natural number n, produces a decimal expansion for the number accurate to n decimal places. This notion was introduced by Alan Turing in 1936. The computable numbers include the algebraic numbers along with many transcendental numbers including π and e. Like the algebraic numbers, the computable numbers also form a subfield of the real numbers, and the positive computable numbers are closed under taking nth roots for each positive n.

Following the mixed success of their musical pursuits in the 1990s, U2 sought to simplify their sound; the Edge said that with Pop, the group had "taken the deconstruction of the rock 'n' roll band format to its absolute 'nth degree". For their tenth album, All That You Can't Leave Behind, the group wanted to return to their old recording ethos of "the band in a room playing together". Reuniting with Eno and Lanois, U2 began working on the album in late 1998.McGee (2008), p.

Hector Hall, the Silver Scarab Feeling neglected by his crime-fighting parents, in college Hector constructed a suit out of the Nth Metal that granted his parents the power of flight, while also adding some solar improvements. Hector had enrolled at UCLA and met his childhood friend, Lyta Trevor. The two quickly fell in love and began to date. Lyta wished to follow in her mother's footsteps and become the next Fury, and Hector shared the secret of his Silver Scarab suit with her.

Cha Wa's Grammy-nominated album, Spyboy, is deeply influenced by New Orleans street culture. The band aimed to give traditional New Orleans music a modern twist. In Gelini's words, "We wanted to take the roots of what we love about New Orleans brass band music and Mardi Gras Indian music and then voice it in our own way". Spyboy was produced by Galactic's Ben Ellman and features special guests Big Chief Monk Boudreaux (The Wild Magnolias, HBO's Treme) and Nigel Hall (Lettuce, Nth Power, and Danica Hart).

He created the Vapor Trail that allows the Outriders to cross from their dimension into the human dimension. His primary motivation for ordering an invasion of the New Frontier is the unbearable boredom he feels in the Vapor Dimension. In the last episodes of the series it is revealed Nemesis is a cyborg, and his consciousness also existed as the Nth Degree, a powerful computer on the Outrider's artificial homeworld. : Saber Rider is the only member of the Star Sheriffs to meet Nemesis one-on-one.

Niven completed the solution of most of Waring's problem in 1944. This problem, based on a 1770 conjecture by Edward Waring, consists of finding the smallest number g(n) such that every positive integer is the sum of at most g(n) nth powers of positive integers. David Hilbert had proved the existence of such a g(n) in 1909; Niven's work established the value of g(n) for all but finitely many values of n. Niven numbers, Niven's constant, and Niven's theorem are named for Niven.

As a comic author, he was first published in Scene magazine in 1998. Page 93 and on. In 2001, he started PartiallyClips, a social commentary clip art webcomic also featured in the Anchorage Press, Cleveland Free Times, Concord Mirror, East Bay Express, Houston Press, Manchester Mirror, Metroland, Nth Degree, Salem Observer and the Other Paper. He is also the writer for the Erfworld webcomic, which was listed as one of Time magazine's "Top 10 Graphic Novels of 2007""Top 10 Graphic Novels of 2007", Time.

He showed that the nth derivative can be expressed in terms of Tn. As a consequence, the step function arising from Tn is orthogonal to polynomials of order n − 1\. A consequence of this result is that a resource whose value is expressed as a monotonically decreasing continuous function is most fairly allocated using a sequence that converges to Thue- Morse as the function becomes flatter. An example showed how to pour cups of coffee of equal strength from a carafe with a nonlinear concentration gradient, prompting a whimsical article in the popular press.

Any nth degree polynomial has exactly n roots in the complex plane, if counted according to multiplicity. So if f(x) is a polynomial which does not have a root at 0 (that is a polynomial with a nonzero constant term) then the _minimum_ number of nonreal roots is equal to :n-(p+q), where p denotes the maximum number of positive roots, q denotes the maximum number of negative roots (both of which can be found using Descartes' rule of signs), and n denotes the degree of the equation.

As the radar was designed to track moving objects the need arose to handle targets which, in closing or opening range, during nth time around tracking, came into coincidence with the next Tx pulse. So, in the jargon, the radar had to be capable of tracking “through the Big Bang.” This arises from the fact that the antenna serves both the Tx and Rx. To allow this to happen a device called the Transmit-Receive Switch [T-R Switch]is used. The antenna is connected to the Rx until the Tx is pulsed.

Frank Agnew had saved the master tape from the May 1980 session, allowing for its inclusion. The original master tapes from the July 1980 session were lost, so the recordings on The Complete Demos were "mastered from nth generation collector tapes" located by Rodney Bingenheimer, Mike Calacion, and Katz Seki. "The source tapes for that were lost but a collector happened to have four of the five songs on a pretty raw cassette", said Brandenburg. The recording of "Richard Hung Himself" was remixed by Paul DuGre for inclusion on the album.

In 1966 he became a professor at NTH where he stayed until 1991. Besides teaching and research, he took on a number of assignments for industry, including being the main consultant in theoretical polymer chemistry for DuPont. Ugelstad was already an internationally known researcher for his work in polymer chemistry when he first heard about the problem of preparing monodisperse spheres at a conference in the United States. Back in Trondheim he began to romp with the problem and thought it should be possible to make the particles in a regular laboratory.

SNES gameplay screenshot The game is a pure platform game, relying on smooth, fast-moving gameplay. Its protagonist is Zool, a gremlin "Ninja of the Nth Dimension" who is forced to land on Earth; in order to gain ninja ranking, he has to pass seven lands, beating a boss at the end of each of them. The game contains a number of embedded minigames, including several arcade games, a scrolling space shooter and a game accessible only by making Zool play a certain tune on an in-game piano or finding certain invisible warp points.

The longer version of the Good Times warning contained descriptions of what Good Times was supposedly capable of doing to computers. In addition to sending itself to every email address in a recipient's received or sent mail, the Good Times virus caused a wide variety of other nasty things to happen. For example, one version said that if an infected computer contained a hard drive, it could be destroyed. If Good Times was not stopped in time, an infected computer would enter an "nth-complexity infinite binary loop" (a meaningless term), damaging the processor.

The first few polite numbers are :3, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, ... . The impolite numbers are exactly the powers of two. It follows from the Lambek–Moser theorem that the nth polite number is f(n + 1), where :f(n)=n+\left\lfloor\log_2\left(n+\log_2 n\right)\right\rfloor.

Not only are the massive fleets of Civilization equipped with single-shot "primary" and "secondary" beam weapons, they now have super-atomic (total conversion of mass to energy) bombs, also deployed by the thousands. The Patrol eventually revisits the strange alternate universe called "Nth space", where nothing goes slower than light. There they render two superluminal planets inertialess to use as the ultimate weapons in destroying both Ploor and its sun. Soon two Patrol hyperspace tubes open, one aimed at Ploor and another one aimed at its sun.

For each specific consistent effectively represented axiomatic system for the natural numbers, such as Peano arithmetic, there exists a constant N such that no bit of Ω after the Nth can be proven to be 1 or 0 within that system. The constant N depends on how the formal system is effectively represented, and thus does not directly reflect the complexity of the axiomatic system. This incompleteness result is similar to Gödel's incompleteness theorem in that it shows that no consistent formal theory for arithmetic can be complete.

To extract the nth file, PackIt had to read past all of the n-1 files first. PackIt II was released in early 1986 and added Huffman encoding. However the encoding was applied after the file had already been "grouped" together, meaning that the compressor had to work on the file as a whole, or not at all. Since Mac files often consisted of text in the data fork and binary data in the resource fork, compressing these separately and then joining them together would likely offer better compression overall.

Ballarat Base Hospital's Henry Bolte wing Ballarat has two major hospitals. The public health services are managed by Ballarat Health Services including the Ballarat Base which services the entire region and the Queen Elizabeth Centre for aged care on Ascot Street Sth. The St John of God Health Care centre also on Drummond Street Nth, established in 1915 is currently the largest private hospital in regional Victoria. The Ballarat Regional Integrated Cancer Centre (BRICC) on the corner of Drummond and Sturt Street includes a number of facilities focused on cancer treatment.

Note that and are isomorphic if and only if every element of F has an nth root in F. As an example, note that , but that ;Gareth A. Jones and David Singerman. (1987) Complex functions: an algebraic and geometric viewpoint. Cambridge UP. Discussion of PSL and PGL on page 20 in google books this corresponds to the real projective line being orientable, and the projective special linear group only being the orientation-preserving transformations. PGL and PSL can also be defined over a ring, with an important example being the modular group, .

The total number of distinct stories produced is unknown but has been estimated by Art Spiegelman to be between 700 and 1,000. These were endlessly reprinted, redrawn, retitled, and pirated, with nearly illegible "nth-generation" copies circulating decades after the originals were first issued. The majority of old Tijuana bibles seen today are reprints dating from the 1950s. In addition to the eight-pagers, there were also the more expensive "16-pagers", printed in a larger page size with more pages, and usually more carefully drawn and better printed.

While this theorem was proved in 1909 and 1910 separately by Hermann Weyl, Wacław Sierpiński and Piers Bohl, variants of this theorem continue to be studied to this day. In 1916, Weyl proved that the sequence a, 22a, 32a, ... mod 1 is uniformly distributed on the unit interval. In 1935, Ivan Vinogradov proved that the sequence pn a mod 1 is uniformly distributed, where pn is the nth prime. Vinogradov's proof was a byproduct of the odd Goldbach conjecture, that every sufficiently large odd number is the sum of three primes.

Katar, who has been having similar visions, realizes that Hall's next clue is located on the statue. In Justice League #14, Katar was shown alive on Thanagar Prime, the new home world of the Thanagarians, disguised as a common guard. On the orders of his wife, the empress of Thanagar Prime, he attacks the Justice League. This Katar Hol was revealed to be a mindless construct created by a device called the "Absorbacon", which via reactive Nth Metal and the mental powers of a Martian elder known as the Keep, bring memories into reality.

This conjecture was later proved by Rivest. McCabe also noted that with either the transposition or MTF heuristic, the optimal ordering of records would be approached even if the heuristic was only applied every Nth access, and that a value of N might be chosen that would reflect the relative cost of relocating records with the value of approaching the optimal ordering more quickly. Further improvements were made, and algorithms suggested by researchers including: Rivest, Tenenbaum and Nemes, Knuth, and Bentley and McGeoch (e.g. Worst-case analyses for self- organizing sequential search heuristics).

In 1996 it was merged with the rest of the university to create the new Norwegian University of Science and Technology (NTNU). The college had three campuses, located at Rosenborg (chemistry and biology), Lade (mathematics, physics, informatics and psychology) and Dragvoll (social studies and humanities). The campuses at Rosenborg and Lade were in 2000 abandoned and, except for psychology, moved to Gløshaugen, where the Norwegian Institute of Technology (NTH) was located. The campus at Lade has been converted to apartments and offices while the buildings at Rosenborg have been razed and replaced by apartments.

In the 1980s the Enstrom Helicopter Company was producing two helicopters, both powered by horizontally-opposed piston engines. When the United States Army revealed a requirement for a turbine-powered training helicopter, the company designed a larger, turbine-powered version of its 280 Shark. The proposed unit was designated TH28 (TH for "training helicopter" derived from the 28(0), since the Army's proposal was NTH, "new training helicopter"). The Army contract effort was not successful,Bell Helicopter Company won the bid, with a militarized version of its 206 JetRanger.

Sturt Street viewed from St. Peter's Anglican Church. The clock tower of the Ballarat Town Hall is also visible. Ballarat Base Hospital's Henry Bolte Building is the tallest building in Ballarat Central Ballarat Central is laid out in grid plan. The tallest buildings in the central city area is the seven storey Henry Bolte wing of the Ballarat Base Hospital (erected 1994); the Law Court (now Arts Academy) tower (erected 1941) on Camp Street; Lydiard House on Lydiard Street Nth; and the MLC tower Lydiard Street Sth, (erected 1957) at five storeys.

Before European settlement, the area around Soldiers Hill was populated by Wathaurong people, an Indigenous Australian tribe. The hill itself was a steep escarpment that formed part of a greater range and was a schist of quartz and tall stringybark trees. William Cross Yuille was the first settler of what was originally named "Commanding Hill". Yuille had been well established in the region and had erected a shepherd's hut (in addition to his first hut located at Lake Wendouree) in the location marked by the current crossing of Seymour Street and Armstrong Street Nth.

Justice League #7 (September 2018) Hawkgirl regained control of her body after Wonder Woman used her Lasso of Truth on her, restoring Kendra's memories. After finding Hawkman's Nth Metal mace, Wonder Woman and Hawkgirl traveled through a portal to Earth, where they ended up fighting various corrupted versions of the Justice League.Dark Nights: Metal #5 (January 2018) During their battle, Hawkgirl encountered Hawkman possessed by the darkness of Barbatos. She was able to release him from the villain's command after encouraging Carter to remember all their past lives together.

Kendra reveals that Shayera is indeed her previous life and Starman says that the two are existing at the same time is because of Perpetua and the Totality breaking the chain of resurrection and splitting the two. As such, Kendra and Shayera are two completely separate people . Later, Kendra would come to learn that she had a pivotal role in healing the Source Wall that was previously destroyed in the Dark Nights: Metal event. Her Nth Metal wings were entrusted with the power to restore the Source Wall's integrity.

Toward music more adventurous than Wagner's, especially that of Richard Strauss and later Claude Debussy, Rimsky-Korsakov's mind remained closed. He would fume for days afterwards when he heard pianist Felix Blumenfeld play Debussy's Estampes and write in his diary about them, "Poor and skimpy to the nth degree; there is no technique, even less imagination."As quoted in Taruskin, Stravinsky, 55. This was part of an increasing musical conservatism on his part (his "musical conscience," as he put it), under which he now scrutinized his music and that of others as well.

It is later evident that Katar was innocent and Shayera is surprised when she discovers her brother alive and behind Katar's arrest in the attempt to part Katar from the Nth metal and own it for himself. She then sacrifices herself in order to save Katar's life.Savage Hawkman #16 Following DC's Convergence storyline, Silver Age version of Hawkgirl is featured in a Pre-Crisis universe. With the story taking place right after the events of the acclaimed Shadow of War miniseries, Hawkman and Hawkgirl have been captured inside a domed Gotham City.

The spiral is started with an isosceles right triangle, with each leg having unit length. Another right triangle is formed, an automedian right triangle with one leg being the hypotenuse of the prior triangle (with length ) and the other leg having length of 1; the length of the hypotenuse of this second triangle is . The process then repeats; the nth triangle in the sequence is a right triangle with side lengths and 1, and with hypotenuse . For example, the 16th triangle has sides measuring 4 (=), 1 and hypotenuse of .

In mathematics, Abel's identity (also called as Abel's Formula or Abel's differential equation identity) is an equation that expresses the Wronskian of two solutions of a homogeneous second-order linear ordinary differential equation in terms of a coefficient of the original differential equation. The relation can be generalised to nth-order linear ordinary differential equations. The identity is named after the Norwegian mathematician Niels Henrik Abel. Since Abel's identity relates the different linearly independent solutions of the differential equation, it can be used to find one solution from the other.

In mathematics, the Weil pairing is a pairing (bilinear form, though with multiplicative notation) on the points of order dividing n of an elliptic curve E, taking values in nth roots of unity. More generally there is a similar Weil pairing between points of order n of an abelian variety and its dual. It was introduced by André Weil (1940) for Jacobians of curves, who gave an abstract algebraic definition; the corresponding results for elliptic functions were known, and can be expressed simply by use of the Weierstrass sigma function.

Norsk Data employee working at a Nord-20 computer in 1971 Monrad-Krohn was appointed professor of digital technology at NTH in December 1969. He chose to combine the professorship with the position as CEO of Norsk Data.Heradstveit: 70 Stord Verft took delivery of the first Nord-20 the following year and Norcontrol took delivery of the first of its 28 Nord-4s. The first major conflict in top management took place in February 1971 regarding a new organizational structure, with Monrad-Krohn on the one side and Bjørge and Skår on the other.

But whereas King focuses on "fantastical elements", Bear adopts a "scientific approach". SFF World described City at the End of Time as "an Epic Science Fiction novel [with] elements of thriller and horror with some downright creepy characters." Kirkus Reviews called the book an "eschatological fantasy", and science fiction critic Paul Kincaid says the novel has "plotting and language [that] seem to have been borrowed wholesale from fantasy". Bear himself said the novel could be fantasy or horror, but called it science fiction "stretched to the nth degree".

It is known that the nth Mersenne number is prime only if n is prime. Fermat's little theorem implies that if is prime, then Mp−1 is always divisible by p. Since Mersenne numbers of prime indices Mp and Mq are co-prime, ::A prime divisor p of Mq, where q is prime, is a Wieferich prime if and only if p2 divides Mq. Thus, a Mersenne prime cannot also be a Wieferich prime. A notable open problem is to determine whether or not all Mersenne numbers of prime index are square-free.

The old model with the NTH professor as SINTEF leaders ended, though some continued in dual roles, and SINTEF now had its own managers. The SINTEF Group was established in the mid-1980s, when three new institutes were placed under the SINTEF umbrella. The Norwegian Ship Engineering Research Institute (MARINTEK), the Electricity Supply Research Institute (EFI) and the Institute for Continental Shelf Surveys (IKU) were transformed into joint stock companies with SINTEF as their largest owner. A fourth limited company, SINTEF Fisheries and Aquaculture, was established in 1999.

A popular circuit implementing a second order active R-C filter is the Sallen- Key design, whose schematic diagram is shown here. This topology can be adapted to produce low-pass, band-pass, and high pass filters. A discrete-time FIR filter of order N. The top part is an N-sample delay line; each delay step is denoted z−1. An Nth order FIR filter can be implemented in a discrete time system using a computer program or specialized hardware in which the input signal is subject to N delay stages.

Queensland clubs, other than Brisbane Roar in the A-League, qualified for the FFA Cup proper via the FQ Cup 2014 and the parallel linked Canale Travel Cup competition. The FQ Cup was split into three regionalised zones; North Queensland (NTH), South East Queensland (SEQ) (excluding Brisbane), and Brisbane (BNE). The North Queensland Zone comprised 4 sub zones; Far North Queensland (FNQ), North Queensland (NQ), Mackay Regional (MRF), and Central Queensland (CQ). The South East Queensland Zone comprised 4 sub zones; Wide Bay (WB), Sunshine Coast (SC), South West Queensland (SWQ), and Gold Coast (GC).

Euler's notation uses a differential operator D, which is applied to a function f to give the first derivative Df. The nth derivative is denoted D^nf. If is a dependent variable, then often the subscript x is attached to the D to clarify the independent variable x. Euler's notation is then written :D_x y or D_x f(x), although this subscript is often omitted when the variable x is understood, for instance when this is the only independent variable present in the expression. Euler's notation is useful for stating and solving linear differential equations.

They were signed to Capitol Records in 2003. Working with producer Gil Norton, Morningwood recorded their first record in London at the RAK Studios. Yanowitz wrote the hits "Nth Degree", which was used by Lincoln-Mercury in several of their car commercials, and "New York Girls", which was featured in the movie Sex and the City. After parting ways with Capitol, Morningwood wrote and recorded their second record, Diamonds & Studs, which Yanowitz co-produced with Junior Sanchez, and it was released in October 2009 by VH1/MTV records.

Creating a least-squares fit begins by assuming some function, in the case of the reconstruction an nth degree polynomial, and fitting the curve to the data using constants. The accuracy of the fit can be increased by increasing the degree of the polynomial being used to fit the data. If a set of non-orthogonal standard basis functions was used, it becomes necessary to recalculate the constant coefficients of the function describing the fit. However, by using the orthogonal set of basis functions, it is not necessary to recalculate the constant coefficients.

Throughout the 1990s, U2 experimented with alternative rock and electronic dance music, culminating with their 1997 album Pop and the accompanying PopMart Tour. Guitarist the Edge said that with Pop, the band had "taken the deconstruction of the rock 'n' roll band format to its absolute 'nth degree."McCormick (2006), p. 289 However, following the poor reception to the album and tour, the band wished to return to song arrangements that consisted almost entirely of guitar, bass, and drums, and to quickly regroup in the studio after the tour.

In the beginning, when the case became known on male-dominated online communities, a man reported the "Nth Room" case by contacting 112. However, the Police Department did not view it as a credible report and ignored the reports. In January 2019, the Seoul Shinmun found out by conducting undercover journalism that there was a secret Telegram room that was distributing child pornography. In the same manner, in April 2019, Sisa Journal reported that Telegram was being used as a platform for crime for sharing illegal pictures and videos.

On August 12, the Electronic Times was the first press outlet to report the "Nth Room". Since then, the case had brought huge social impact and public fury. Representative operator Baksa was arrested, but his accomplice and Telegram users who share these videos trade for money are still unknown. While Police Department got the list of people who had bought videos and were investigating, over 5 million people had signed a national petition requesting the South Korean government to disclose the identity of users who have shared in the chatroom.

Hawkman is the name of several fictional superheroes appearing in American comic books published by DC Comics. Created by writer Gardner Fox and artist Dennis Neville, the original Hawkman first appeared in Flash Comics #1, published by All-American Publications in 1940. Several incarnations of Hawkman have appeared in DC Comics, all of them characterized by the use of archaic weaponry and by large, artificial wings, attached to a harness made from the special Nth metal that allows flight. Most incarnations of Hawkman work closely with a partner/romantic interest named Hawkgirl or Hawkwoman.

In mathematics, the Gibbs phenomenon, discovered by Available on-line at: National Chiao Tung University: Open Course Ware: Hewitt & Hewitt, 1979. and rediscovered by , is the peculiar manner in which the Fourier series of a piecewise continuously differentiable periodic function behaves at a jump discontinuity. The nth partial sum of the Fourier series has large oscillations near the jump, which might increase the maximum of the partial sum above that of the function itself. The overshoot does not die out as n increases, but approaches a finite limit.

An elementary Frobenioid is a generalization of the Frobenioid of a commutative monoid, given by a sort of semidirect product of the monoid of positive integers by a family Φ of commutative monoids over a base category D. In applications the category D is sometimes the category of models of finite separable extensions of a global field, and Φ corresponds to the line bundles on these models, and the action of a positive integers n in N is given by taking the nth power of a line bundle.

A toy program is a small computer program typically used for educational purposes. Toy programs are generally of little practical use, although the concepts implemented may be useful in a much more sophisticated program. A toy program typically focuses on a specific problem, such as computing the Nth term in a sequence, finding the roots of a quadratic equation and testing if a number is prime. Toy programs are also used for a developer trying out a new programming language, to test all of the language's syntax and coding methods.

As a former member of the Thanagarian military, she had extensive training in tactics, military science, and personal combat skills. Additionally, her focus in espionage can make her a difficult opponent to track, and provides her with an advantage when tracking villains. Hawkgirl carries a mace made of Nth metal, which can generate electric currents and repel magical energies, her mace is highly effective against magic, as shown when Hawkgirl defeated Doctor Fate, a powerful magician of the DC Universe. Hawkgirl is skilled at wielding and throwing the mace accurately.

Squadron Supreme #12 After this battle, Redstone remained with the Squadron as a costumed adventurer. Redstone's ties to the Earth proved to be more intimate than he realized for after leaving the planet and traveling into outer space with the Squadron to confront the Nth Man and prevent him from destroying the universe. Upon leaving Earth's atmosphere he became ill and lost much of his physical mass. His return to Earth did not prevent his demise; the adverse effects of separation from Earth's environment were irreversible, and Redstone perished.

1940) — "Fox's imagination [transformed] that bird [into] the soaring, mysterious Hawkman." With art by Dennis Neville,Wallace "1940s" in Dolan, p. 30: "In the same issue [#1] Gardner Fox wrote the first story featuring Hawkman...in a story drawn by Dennis Neville." the origin of the 'Winged Wonder' featured archaeologist and collector Carter Hall reliving his past life as Prince Khufu of ancient Egypt, creating a costume (powered by Nth metal), confronting the reincarnation of Hath-Set, his former nemesis, and meeting his reincarnated love interest, Shiera Saunders.

Transition state structures can be determined by searching for saddle points on the PES of the chemical species of interest. A first-order saddle point is a position on the PES corresponding to a minimum in all directions except one; a second-order saddle point is a minimum in all directions except two, and so on. Defined mathematically, an nth order saddle point is characterized by the following: and the Hessian matrix, , has exactly n negative eigenvalues. Algorithms to locate transition state geometries fall into two main categories: local methods and semi-global methods.

All flip-flops operate at the given clock frequency. Each input bit makes its way down to the Nth output after N clock cycles, leading to parallel output. In cases where the parallel outputs should not change during the serial loading process, it is desirable to use a latched or buffered output. In a latched shift register (such as the 74595) the serial data is first loaded into an internal buffer register, then upon receipt of a load signal the state of the buffer register is copied into a set of output registers.

The only exceptions in Fibonacci case for n up to 12 are: :F(1)=1 and F(2)=1, which have no prime divisors :F(6)=8 whose only prime divisor is 2 (which is F(3)) :F(12)=144 whose only prime divisors are 2 (which is F(3)) and 3 (which is F(4)) The smallest primitive prime divisor of F(n) are :1, 1, 2, 3, 5, 1, 13, 7, 17, 11, 89, 1, 233, 29, 61, 47, 1597, 19, 37, 41, 421, 199, 28657, 23, 3001, 521, 53, 281, 514229, 31, 557, 2207, 19801, 3571, 141961, 107, 73, 9349, 135721, 2161, 2789, 211, 433494437, 43, 109441, ... Carmichael's theorem says that every Fibonacci number, apart from the exceptions listed above, has at least one primitive prime divisor. If n > 1, then the nth Pell number has at least one prime divisor that does not divide any earlier Pell number. The smallest primitive prime divisor of nth Pell number are :1, 2, 5, 3, 29, 7, 13, 17, 197, 41, 5741, 11, 33461, 239, 269, 577, 137, 199, 37, 19, 45697, 23, 229, 1153, 1549, 79, 53, 113, 44560482149, 31, 61, 665857, 52734529, 103, 1800193921, 73, 593, 9369319, 389, 241, ...

Another broad category of hacks contains strong elements of social commentary or street protest (e.g. "Nth Annual Spontaneous Tuition Riot") about events on campus or in the world at large. But the strongest element of many hacks is the sheer joy of conceptualizing something new, and then reifying it with effective engineering, both technical and social (e.g. installing a full-sized mockup solar-powered subway car on the parapet wall around the base of the Great Dome, and then driving it back and forth under remote wireless control from Killian Court, some five stories below, after sundown).

In order for an Nth time around tracking system to work there has to be some arrangement to cover the loss of Rx signal for the Tx pulse period. In the radar under discussion this is achieved as follows. When the target pulse reaches an apparent range of ± of the Tx pulse a number of Tx pulse, the number being the zone count, are delayed by a time equivalent to Take our example above. When the range of the target reduces to -that is greater than the 4 zones, the delay is introduced into the Tx system.

After a few years in business, he worked a few years at Philips Group's research department in Eindhoven in the Netherlands and obtained a PhD at the University of Leiden in 1955. He was employed by SINTEF and since 1957 by the Institute of Industrial Chemistry at NTH. During a sabbatical in Norwegian's research department from 1964 to 1965, he was the brains behind a new and epochal theory of emulsion polymerization which replaced the former and well-established theories and was dominated the field. This work was in practice as important as the monodisperse spheres.

Bombshell was released with an additional disc, a DVD film of King Creosote and friends on tour. In the 2007 film Hallam Foe two of his songs, "The Someone Else" and "King Bubbles in Sand", were featured. In late 2009, Anderson released a new studio album Flick the Vs, and crafted a performance only album, entitled My Nth Bit of Strange in Umpteen Years. Anderson also contributed to the Cold Seeds collaborative album along with Frances Donnelly of Animal Magic Tricks, and Neil Pennycook and Pete Harvey from Meursault; which was released on the Edinburgh-based indie label Song, by Toad Records.

In July 2019, Hyeri unveiled her personal YouTube channel, where she began posting vlogs, mukbangs, and behind the scenes footage from filming sets. A month later, she received The Silver Creator Award for surpassing 100,000 subscribers. In 2020, she was awarded the "Celebrity YouTuber of the Year" prize at the Brand of the Year Awards. In March 2020, Hyeri criticised Nth room-related cybersex trafficking on her Instagram account and urged her followers to sign a petition to reveal the identities of the perpetrators, stating that she hopes that "they face harsher punishment for what they did".

In 1952 the pilot school was moved to Værnes, but in 1954 Ørland Main Air Station became the main air force base in Central Norway, and the majority of the armed air forces (with the exception of the school) moved to Ørland.Hovd (2000): 133–172 After World War II, there was only general aviation at Værnes, organized by Værnes flyklubb and NTH flyklubb. From 1 August 1946 to 31 July 1947, there were 1,221 take- offs from Værnes, mostly during the summer. During parts of 1946 and 1947, the airport was used as a pasture for sheep.

The arbelos is defined by two circles, CU and CV, which are tangent at the point A and where CU is enclosed by CV. Let the radii of these two circles be denoted as rU and rV, respectively, and let their respective centers be the points U and V. The Pappus chain consists of the circles in the shaded grey region, which are externally tangent to CU (the inner circle) and internally tangent to CV (the outer circle). Let the radius, diameter and center point of the nth circle of the Pappus chain be denoted as rn, dn and Pn, respectively.

Walras' law was introduced as a theoretical answer to the problem of determining the solutions in general equilibrium. His notation is different from modern notation but can be constructed using more modern summation notation. Walras assumed that in equilibrium, all money would be spent on all goods: every good would be sold at the market price for that good and every buyer would expend their last dollar on a basket of goods. Starting from this assumption, Walras could then show that if there were n markets and n-1 markets cleared (reached equilibrium conditions) that the nth market would clear as well.

Herman Watzinger was born on 20 April 1916 in Wiesbaden, Germany. He then continued with doctoral studies at NTH (NTNU), which was cancelled because of World War II, and applied for a job in the US and sought a visa to the US. He met Thor Heyerdahl in New York City, where he was asked to participate in the construction of the Kon-Tiki raft and become a member of the expedition. On board the raft, where he was second in command, he was responsible for meteorological and hydrographic measurements. He moved to Lima, Peru, in 1950.

The number of abstract simplicial complexes on up to n elements (that is on a set S of size n) is one less than the nth Dedekind number. These numbers grow very rapidly, and are known only for ; they are (starting with n = 0): :1, 2, 5, 19, 167, 7580, 7828353, 2414682040997, 56130437228687557907787 . This corresponds to the number of non-empty antichains of subsets of an set. The number of abstract simplicial complexes whose vertices are exactly n labeled elements is given by the sequence "1, 2, 9, 114, 6894, 7785062, 2414627396434, 56130437209370320359966" , starting at n = 1.

Bit arrays and the operations on them are also important for constructing succinct data structures, which use close to the minimum possible space. In this context, operations like finding the nth 1 bit or counting the number of 1 bits up to a certain position become important. Bit arrays are also a useful abstraction for examining streams of compressed data, which often contain elements that occupy portions of bytes or are not byte-aligned. For example, the compressed Huffman coding representation of a single 8-bit character can be anywhere from 1 to 255 bits long.

During his childhood and teenage years he lived with his parents and siblings, initially at 31 Buckingham Street (for 6 months), and then at 89 Church Street, North Richmond. As an infant he attended the Boroondara Kindergarten in Nth Richmond. His primary education took place at North Richmond State School (now Yarra Primary School) and his secondary education (1954–56) and apprenticeship training at Richmond Technical College (1957–59) and the Royal Melbourne Institute of Technology (1960). The family belonged to St Matthias Church of England in Church Street, North Richmond (since demolished) where Norman Lacy was confirmed on 19 July 1953.

Kagan agreed with the majority in that the HHS and other departments did have authority to issue new rules, but was not sure if the proposed rules met the APA challenge and agreed with remanding the case to the lower courts for further review on this matter. Justice Ruth Bader Ginsburg wrote the dissent, joined by Justice Sonia Sotomayor. Ginsburg wrote critically "Today, for the first time, the Court casts totally aside countervailing rights and interests in its zeal to secure religious rights to the nth degree." This was Justice Ginsburg last written opinion for the Court before her passing on September 18.

Shefford was twice a finalist for the prestigious Eunice Gill Leadership in Sport Award, and is a recipient of the VicSport Volunteer Coach & Volunteer Administrator of the Year awards for his work with Touch Football in Victoria. He is an Honour Roll recipient for both Elwood Park Touch and the Victorian Touch Association; and in 2019 was awarded the "Alan Ticehurst Memorial Award for Services to Nth Qld Sport". In early 2016 Shefford also received an Australia Day Sports Administrator of the Year award for his work in Touch Football at local, regional, state & international levels.

One useful set of birational invariants are the plurigenera. The canonical bundle of a smooth variety X of dimension n means the line bundle of n-forms KX = Ωn, which is the nth exterior power of the cotangent bundle of X. For an integer d, the dth tensor power of KX is again a line bundle. For d ≥ 0, the vector space of global sections H0(X, KXd) has the remarkable property that a birational map f: X ⇢ Y between smooth projective varieties induces an isomorphism H0(X, KXd) ≅ H0(Y, KYd).Hartshorne (1977), Exercise II.8.8.

The grating element is equal to the wavelength of the ultrasonic waves—denoted by d. If \lambda is the wavelength of the light passed through the grating that is diffracted by an angle \theta, then the nth order of the maximum is given by: :d \sin \theta = n \lambda or :d = n \lambda/\sin \theta If v is the velocity of the ultrasonic wave in the liquid we can calculate the velocity of the wave with: :v/ u = n \lambda/\sin \theta or, :v = u n \lambda/\sin \theta where u is the frequency of the wave.

During the Dark Nights: Metal event, Doctor Fate assists the Justice League in defeating the Dark Nights. He forms a search team with Wonder Woman and Hawkgirl to find Nth Metal in the Rock of Eternity, where he is supposedly killed by Black Adam. In the "Doomsday Clock" limited series, Lois Lane is mailed a flash drive which contains newsreel footage of the Justice Society, including Doctor Fate.Doomsday Clock #8 (December 2018) He was later seen with the Justice Society when Doctor Manhattan undoes the experiment that erased the Justice Society and the Legion of Super-Heroes.

The informal definition of an algebraic function provides a number of clues about their properties. To gain an intuitive understanding, it may be helpful to regard algebraic functions as functions which can be formed by the usual algebraic operations: addition, multiplication, division, and taking an nth root. This is something of an oversimplification; because of the fundamental theorem of Galois theory, algebraic functions need not be expressible by radicals. First, note that any polynomial function y = p(x) is an algebraic function, since it is simply the solution y to the equation : y-p(x) = 0.

It may be proven that there is no way to express this function in terms of nth roots using real numbers only, even though the resulting function is real-valued on the domain of the graph shown. On a more significant theoretical level, using complex numbers allows one to use the powerful techniques of complex analysis to discuss algebraic functions. In particular, the argument principle can be used to show that any algebraic function is in fact an analytic function, at least in the multiple-valued sense. Formally, let p(x, y) be a complex polynomial in the complex variables x and y.

The above method actually takes \Omega(n^2) time for large n because addition of two integers with \Omega(n) bits each takes \Omega(n) time. (The nth fibonacci number has \Omega(n) bits.) Also, there is a closed form for the Fibonacci sequence, known as Binet's formula, from which the n-th term can be computed in approximately O(n(\log n)^2) time, which is more efficient than the above dynamic programming technique. However, the simple recurrence directly gives the matrix form that leads to an approximately O(n\log n) algorithm by fast matrix exponentiation.

Not only were the patterns of rally-ending shots (the Nth shot of the rally) examined in detail, but also those shots that preceded the end shot, (N-1) to a winner or error, and the shots that preceded those, (N-2) to a winner or error. In this way the rally ending patterns of play were analysed. Not surprisingly, processing the data for just one match could take as long as 40 hours of further work. The major emphasis of this system was on the gathering of information concerning `play patterns' as well as the comprehensive collection of descriptive match data.

He turned next to trigonometric functions with his 1903 paper "Sur les séries trigonométriques". He presented three major theorems in this work: that a trigonometrical series representing a bounded function is a Fourier series, that the nth Fourier coefficient tends to zero (the Riemann–Lebesgue lemma), and that a Fourier series is integrable term by term. In 1904-1905 Lebesgue lectured once again at the Collège de France, this time on trigonometrical series and he went on to publish his lectures in another of the "Borel tracts". In this tract he once again treats the subject in its historical context.

In keeping with the theme of previous Nike projects, Sentinel introduced this new emblem featuring a Roman soldier. On 17 June 1967 the Chinese detonated their first hydrogen bomb as part of Test No. 6. McNamara saw this as a solution to the problem of deploying an ABM; the Nth Country system would provide a credible defense against a Chinese attack well into the 1970s while still being a relatively inexpensive system that would blunt further calls for a larger ABM deployment. On 18 September 1967, while visiting San Francisco, McNamara announced that the US would begin deploying of a "Chinese oriented" system.

Amazingly, this cochain turns out to be a cocycle and so defines a cohomology class in the nth cohomology group of X with coefficients in . When this cohomology class is equal to 0, it turns out that the mapping may be modified within its homotopy class on the (n-1)-skeleton of X so that the mapping may be extended to the n-skeleton of X. If the class is not equal to zero, it is called the obstruction to extending the mapping over the n-skeleton, given its homotopy class on the (n-1)-skeleton.

Blade fights his way into the tower through the underground car park, and then passes through the "Exploitika" nightclub before destroying the computer mainframe of a vampire-run company called Nth Phase. Eventually, he finds the vampire with the briefcase, who reveals that the DNA is actually that of Damaskinos, former overlord of the Vampire Nation, and a DNA sequencer is currently unraveling the DNA. Blade is able to destroy the machine and then meets Whistler on the roof. Whistler gives him a canister of poison, which Blade puts into the ventilation system, killing every vampire in the building.

The Nordisk Kemiteknolog Konferens (English: Conference for Nordic Students of Applied Chemistry) is a conference with the goal of letting students of applied chemistry collaborate with colleagues in the Nordic countries. NKK was first thought of and put to action more than thirty years ago, in the 1970s. The aim of the conferences was to let students of applied chemistry meet their colleagues from Sweden, Finland, Denmark and Norway. The original universities involved in the project were those of KTH (Stockholm), Uppsala, Chalmers (Gothenburg), Aalto (TKK) (Helsinki), Turku, DTU (Copenhagen), NTH (Trondheim), Luleå, Umeå and Linköping.

At the Norwegian Institute of Technology (now the Norwegian University of Science and Technology), the tradition with an NTH Ring goes back to 1914, before the Canadian iron ring. In Norway, the title "Sivilingeniør" is no longer issued after 2007, and has been replaced with "Master i teknologi". In the English translation of the diploma, the title will be "Master of Science", since "Master of Technology" is not an established title in the English- speaking world. The extra overlapping year of studies have also been abolished with this change to make Norwegian degrees more equal to their international counterparts.

In addition to the question of whether there are other differential lattices, there are several long-standing open problems relating to the rank growth of differential posets. It was conjectured in that if P is a differential poset with vertices at rank n, then : p(n) \le r_n \le F_n, where p(n) is the number of integer partitions of n and is the nth Fibonacci number. In other words, the conjecture states that at every rank, every differential poset has a number of vertices lying between the numbers for Young's lattice and the Young-Fibonacci lattice. The upper bound was proved in .

Manly- Warringah lost its first match for the 2012 season when it went down 17–13 to the Cronulla-Sutherland Sharks in a major upset, then another loss followed when it fell to 2010 premiers St. George Illawarra at Kogarah by 17–4. Manly- Warringah ended the 2012 Regular season in 4th position on the ladder. After being defeated by the Bulldogs in the first week of the finals, Manly defeated the Nth Queensland Cowboys, effectively ending their season. However, the Sea Eagles' season ended the next week after being defeated by eventual premiers Melbourne Storm.

He remained there until he died of apoplexy in 1719. While Rolle's forte was always Diophantine analysis, his most important work was a book on the algebra of equations, called Traité d'algèbre, published in 1690. In that book Rolle firmly established the notation for the nth root of a real number, and proved a polynomial version of the theorem that today bears his name. (Rolle's theorem was named by Giusto Bellavitis in 1846.) Rolle was one of the most vocal early antagonists of calculus - ironically so, because Rolle's theorem is essential for basic proofs in calculus.

In mathematics, in particular in algebraic topology and differential geometry, the Stiefel–Whitney classes are a set of topological invariants of a real vector bundle that describe the obstructions to constructing everywhere independent sets of sections of the vector bundle. Stiefel–Whitney classes are indexed from 0 to n, where n is the rank of the vector bundle. If the Stiefel–Whitney class of index i is nonzero, then there cannot exist (n−i+1) everywhere linearly independent sections of the vector bundle. A nonzero nth Stiefel–Whitney class indicates that every section of the bundle must vanish at some point.

There are numbers such as the cube root of 2 which are algebraic but not constructible. The real algebraic numbers form a subfield of the real numbers. This means that 0 and 1 are algebraic numbers and, moreover, if a and b are algebraic numbers, then so are a+b, a−b, ab and, if b is nonzero, a/b. The real algebraic numbers also have the property, which goes beyond being a subfield of the reals, that for each positive integer n and each real algebraic number a, all of the nth roots of a that are real numbers are also algebraic.

In abstract algebra and number theory, Kummer theory provides a description of certain types of field extensions involving the adjunction of nth roots of elements of the base field. The theory was originally developed by Ernst Eduard Kummer around the 1840s in his pioneering work on Fermat's last theorem. The main statements do not depend on the nature of the field – apart from its characteristic, which should not divide the integer n – and therefore belong to abstract algebra. The theory of cyclic extensions of the field K when the characteristic of K does divide n is called Artin–Schreier theory.

The most common small fragments, however, are composed of 90% helium-4 nuclei with more energy than alpha particles from alpha decay (so- called "long range alphas" at ~ 16 MeV), plus helium-6 nuclei, and tritons (the nuclei of tritium). The ternary process is less common, but still ends up producing significant helium-4 and tritium gas buildup in the fuel rods of modern nuclear reactors.S. Vermote, et al. (2008) "Comparative study of the ternary particle emission in 243-Cm (nth,f) and 244-Cm(SF)" in Dynamical aspects of nuclear fission: proceedings of the 6th International Conference.

Professor Bolland completed his MSc and PhD degrees in mechanical engineering at the Norwegian Institute of Technology (NTH), one of the precursors of the Norwegian University of Science and Technology - NTNU. From 1990 he was Associate Professor at NTNU until he was appointed Professor in 2002 at the Department of Energy and Process Engineering. He was Head of the Department of Energy and Process Engineering at the Norwegian University of Science and Technology – NTNU from 2009 to 2017. In 2003–2005, he contributed to the IPCC reports, the institution which was awarded the 2007 Nobel Peace Prize.

T_{N+1} has N+2 level extrema. This means that the error between f(x) and its Chebyshev expansion out to T_N is close to a level function with N+2 extrema, so it is close to the optimal Nth-degree polynomial. In the graphs above, note that the blue error function is sometimes better than (inside of) the red function, but sometimes worse, meaning that it is not quite the optimal polynomial. The discrepancy is less serious for the exp function, which has an extremely rapidly converging power series, than for the log function.

The "Nth Room" case () is a criminal case involving blackmail, cybersex trafficking, and the spread of sexually exploitative videos via the Telegram app between 2018 and 2020 in South Korea. A man nicknamed God God (Korean: 갓갓) sold sexual exploitation videos on Telegram channels and groups. A copycat crime, known as the "Doctor's Room", () was operated by a man using the screen name Doctor (, later revealed to be Jo Ju-bin), who is accused of blackmailing dozens of women, forcing them to take sexually exploitative videos, with some involving rape. The number of confirmed victims is at least 103, including 26 minors.

The Towers of Hanoi puzzle involves moving disks of different sizes between three pegs, maintaining the property that no disk is ever placed on top of a smaller disk. The states of an n-disk puzzle, and the allowable moves from one state to another, form an undirected graph, the Hanoi graph, that can be represented geometrically as the intersection graph of the set of triangles remaining after the nth step in the construction of the Sierpinski triangle. Thus, in the limit as n goes to infinity, this sequence of graphs can be interpreted as a discrete analogue of the Sierpinski triangle..

When Hastor kidnaps Shiera, using a magic spell to draw her to his lair, Hall uses his newly-refound memories to craft a gravity-defying belt using Nth metal and a winged costume to become Hawkman. Carter successfully rescues Shiera, Anton is killed by electrocution, and Carter and Saunders begin a romantic relationship. Carter Hall and Shiera Saunders had a son together, named Hector Hall, who grew up to also have a superheroic identity as Silver Scarab and later adopted the mantle of Dr. Fate. Hector Hall was a member of the superhero groups Infinity Inc.

Keown started working in comics in 1986 drawing several series for Aircel Comics, including Samurai, Elflord, Dragon Ring (later Dragonforce), and Warlock 5. Keown moved to Marvel Comics in 1989, where he first worked on Nth Man: the Ultimate Ninja, before replacing Jeff Purves on The Incredible Hulk. Keown worked on Hulk with writer Peter David, creating one of the more memorable runs of the book. David has named Keown one of the three artists whose art has mostly closely matched the visuals he conceived when writing a comic book scripts (the others being George Pérez and Leonard Kirk).

The entropy accumulator is designed to be resistant against "injection" attacks, without needing sophisticated (and inevitably unreliable) estimators of entropy. There are several "pools" of entropy; each entropy source distributes its alleged entropy evenly over the pools; and (here is the key idea) on the nth reseeding of the generator, pool k is used only if n is a multiple of 2k. Thus, the kth pool is used only 1/2k of the time. Higher-numbered pools, in other words, (1) contribute to reseedings less frequently but (2) collect a larger amount of entropy between reseedings.

Zarrilli, 2008, p. 55 He also talks about Copeau's work in terms of embodiment: > Copeau was precise about the type of embodied awareness that training should > develop in the actor: "What is needed is that within them every moment be > accompanied by an internal state of awareness peculiar to the movement being > done" (Cole and Chinoy 1970). With each repetition of each exercise, for the > nth time, there is this "something more" that can be found in one's > relationship to movement. It is repetition per se which leads one, > eventually, to the possibility of re-cognize-ing oneself through exercise.

However, some non-ranking systems can be mathematically analysed as positional ones provided that implicit ties are awarded the same preference value and rank position; see below. The classic example of a positional voting electoral system is the Borda count. Typically, for a single-winner election with N candidates, a first preference is worth N points, a second preference N - 1 points, a third preference N - 2 points and so on until the last (Nth) preference that is worth just 1 point. So, for example, the points are respectively 4, 3, 2 and 1 for a four-candidate election.

In mathematics, a reciprocity law is a generalization of the law of quadratic reciprocity. There are several different ways to express reciprocity laws. The early reciprocity laws found in the 19th century were usually expressed in terms of a power residue symbol (p/q) generalizing the quadratic reciprocity symbol, that describes when a prime number is an nth power residue modulo another prime, and gave a relation between (p/q) and (q/p). Hilbert reformulated the reciprocity laws as saying that a product over p of Hilbert norm residue symbols (a,b/p), taking values in roots of unity, is equal to 1.

This algorithm computes without requiring custom data types having thousands or even millions of digits. The method calculates the nth digit without calculating the first n − 1 digits and can use small, efficient data types. Though the BBP formula can directly calculate the value of any given digit of with less computational effort than formulas that must calculate all intervening digits, BBP remains linearithmic (O(n \log n)), whereby successively larger values of n require increasingly more time to calculate; that is, the "further out" a digit is, the longer it takes BBP to calculate it, just like the standard -computing algorithms.

Figure 1: A Steiner chain of twelve black circles . The given circles are shown in blue and red, which are the outermost and innermost circles, respectively. In geometry, a Steiner chain is a set of n circles, all of which are tangent to two given non-intersecting circles (blue and red in Figure 1), where n is finite and each circle in the chain is tangent to the previous and next circles in the chain. In the usual closed Steiner chains, the first and last (nth) circles are also tangent to each other; by contrast, in open Steiner chains, they need not be.

In the episode "Auld Acquaintance", she and the Justice League fell under the Light's control and forced to attack the planet Rimbor alongside five other Leaguers. In the episode "Alienated", the Leaguers involved in the attack returned to Rimbor to be put on trial. In the episode "Endgame", they were found guilty, but Superboy, Miss Martian, and Adam Strange present new evidence and force the Tribunal to reverse their verdict. In the season three episode "Influence," Hawkwoman, Wonder Woman, Superman, and Hawkman investigate a stolen cache of Nth Metal and track an ion trail to Granny Goodness' asteroid base, the Orphanage.

Palmer was one of the linguists who were investigating the theories that some unknown language or languages were spoken in prehistoric Greece before the settlement of Proto-Greek speakers in the area. So this is the question of an ancient linguistic Pre-Greek substrate in Greece. According to Palmer, this may have been one of the ancient Anatolian languages, perhaps a Luwian language. He suggested that the language of Linear A might be Luwian on the basis of -ss- and -nd- (corresponding to -ss- and -nth- in mainland Greece) placenames being widespread in Western Anatolia. esp. 42–64.

In 1971 at NTH he received a Ph.D. in computer science with the thesis "Matematiske metoder for generering og oppfølging av kortsiktige salgsprognoser". Under the guidance of Börje Langefors (born 1915), professor of Business Information Systems at Stockholm University, he had received the first doctoral degree in computer science at Trondheim. Between 1963 and 1974 Sølvberg worked at SINTEF Runnit building up and leading their information systems group. In 1974 he became the first professor of computer science at NTNU, in the computer science department, which was established two years earlier. and since 2002 he is also dean of NTNU’s Faculty of Information Technology, Mathematics and Electrical Engineering as well.

The school was established directly after World War II as a «crisis course» for students of architecture who were unable to finish their degree due to the outbreak of the war. Prior to this, the only Norwegian option for obtaining an architectural degree was at Norwegian Institute of Technology (NTH) in Trondheim. All through the first half of the twentieth century, a group of architects had worked hard towards the establishment of an architectural school that was more aesthetically and academically oriented than a polytechnic education. The school was finally located in Oslo, since it was generally felt that the capital had access to many of the nation’s best practicing architects.

This might have been due to the past prevalence of polygynous relations and female hypergamy. Assuming that all of an individual's ancestors are otherwise unrelated to each other, that individual has 2n ancestors in the nth generation before him and a total of 2g+1 − 2 ancestors in the g generations before him. In practice, however, it is clear that most ancestors of humans (and any other species) are multiply related (see pedigree collapse). Consider n = 40: the human species is more than 40 generations old, yet the number 240, approximately 1012 or one trillion, dwarfs the number of humans who have ever lived.

Dominos can tile the plane in a countably infinite number of ways. The number of tilings of a 2×n rectangle with dominoes is F_n, the nth Fibonacci number.Concrete Mathematics by Graham, Knuth and Patashnik, Addison- Wesley, 1994, p. 320, Domino tilings figure in several celebrated problems, including the Aztec diamond problem In which large diamond-shaped regions have a number of tilings equal to a power of two, with most tilings appearing random within a central circular region and having a more regular structure outside of this "arctic circle", and the mutilated chessboard problem, in which removing two opposite corners from a chessboard makes it impossible to tile with dominoes..

During Reicher's tenure, the firm invested in projects such as natural gas-fired cogeneration plants in California and Massachusetts, ethanol plants in Indiana and Michigan, a biodiesel plant in Delaware, and a biomass-fired power plant in Maine. Reicher also served as Executive Vice President of Northern Power Systems, one of the nation's oldest renewable energy companies. The company received significant venture capital investment, including from Nth Power and Arete Corporation to develop new technologies, including a permanent-magnet direct-drive 2.3 megawatt wind turbine. Reicher was also an adjunct professor at the Yale University School of Forestry and Environmental Studies and Vermont Law School.

Meanwhile, Firestorm is targeted by the JSI and forcefully separated into Jason Rusch and Gehenna. Pennyworth gives Gangbuster and Tarot a scroll to be handed over to Hawkman, the leader of the JSI. The history of the scroll shows it was forged in Nth metal by Prince Khufu, one of Hawkman's previous incarnations. When handed over and inspected by Hawkman, Jay Garrick and Alan Scott of the JSI, the scroll imbues them with renewed vitality and reveals to them that time was warped by the powers of the spell, and they set out to make things right, starting by fusing together Jason and Gehenna.

Predictive time delay assumes that the user of the system knows exactly how long the delay is going to be right ahead. Predictive delay knows when a certain congestion level will be reached and when the delay of that system would be more than taking the other system, so the decision for reroute can be made in time. In the vehicle counts-time diagram, predictive delay at time t is horizontal line segment on the right side of time t, between the arrival and departure curve, shown in Figure 16. the corresponding y coordinate is the number nth vehicle that leaves the system at time t.

During the initial Archie Comics appearances of the character, Fly-Girl possessed the same roster of magical insect-themed endowments as The Fly: whatever powers the world's insects possessed multiplied to an nth quantity. Later both characters became capable of growing to skyscraper proportions or reducing to the size of an insect. These new powers were to remain during the rest of the Archie Series but were ignored during the Red Circle run. The DC Comics incarnation of Fly-Girl has no inherent superpowers, giving her Kim Brand persona the strength of a young woman in her prime engaging in moderate-to-strenuous physical exercise.

In February 1965 the Army asked Bell to consider different deployment concepts under the Nth Country study. This examined what sort of system would be needed to provide protection against an unsophisticated attack with a limited number of warheads. Using Zeus EX, a few bases could provide coverage for the entire US. The system would be unable to deal with large numbers of warheads, but that was not a concern for a system that would only be tasked with beating off small attacks. With only small numbers of targets, the full MAR was not needed and Bell initially proposed TACMAR to fill this need.

Robert McNamara had resisted pressure to deploy Zeus knowing it would have little real-world effect, and faced the same problem with Nike-X four years later. The basic outlines of these various studies were becoming clear by 1966. The heavy defense from the original Nike-X proposals would cost about $40 billion ($ billion in ) and offer limited protection and damage prevention in an all-out attack, but would be expected to blunt or completely defeat any smaller attack. The thin defense of Nth Country would be much less expensive, around $5 billion ($ billion in ), but would only have any effect at all under certain limited scenarios.

Shiera first appears as Hawkgirl in All Star Comics #5 (July 1941), in a costume created by Sheldon Moldoff,Hawkgirl at the Grand Comics Database based on Neville's Hawkman costume. During Hawkman's solo segment of the Justice Society of America story, Shiera dons a spare set of Nth metal wings developed by Hawkman, and masquerades as Hawkman in order to trick some criminals. Shiera continues to wear the costume and wings in later stories, eventually adopting the identity of Hawkgirl. With the establishment of DC's multiverse system, the Golden Age Hawkgirl was said to have lived on Earth-Two and the Silver Age Hawkgirl on Earth-One.

In 1876 Alfred B. Kempe published his article On a General Method of describing Plane Curves of the nth degree by Linkwork, which showed that for an arbitrary algebraic plane curve a linkage can be constructed that draws the curve. This direct connection between linkages and algebraic curves has been named Kempe's universality theoremA. Saxena (2011) Kempe’s Linkages and the Universality Theorem , RESONANCE that any bounded subset of an algebraic curve may be traced out by the motion of one of the joints in a suitably chosen linkage. Kempe's proof was flawed and the first complete proof was provided in 2002 based on his ideas.

In signal processing, a finite impulse response (FIR) filter is a filter whose impulse response (or response to any finite length input) is of finite duration, because it settles to zero in finite time. This is in contrast to infinite impulse response (IIR) filters, which may have internal feedback and may continue to respond indefinitely (usually decaying). The impulse response (that is, the output in response to a Kronecker delta input) of an Nth-order discrete-time FIR filter lasts exactly N + 1 samples (from first nonzero element through last nonzero element) before it then settles to zero. FIR filters can be discrete-time or continuous-time, and digital or analog.

Dimensional analysis has allowed us to conclude that the period of the pendulum is not a function of its mass. (In the 3D space of powers of mass, time, and distance, we can say that the vector for mass is linearly independent from the vectors for the three other variables. Up to a scaling factor, \vec g + 2 \vec T - \vec L is the only nontrivial way to construct a vector of a dimensionless parameter.) The model can now be expressed as: :f(gT^2/L) = 0. Assuming the zeroes of f are discrete, we can say gT2/L = Cn, where Cn is the nth zero of the function f.

Since classical analog filters are IIR filters, there has been a long history of studying the range of possible transfer functions implementing various of the above desired filter responses in continuous time systems. Using transforms it is possible to convert these continuous time frequency responses to ones that are implemented in discrete time, for use in digital IIR filters. The complexity of any such filter is given by the order N, which describes the order of the rational function describing the frequency response. The order N is of particular importance in analog filters, because an Nth order electronic filter requires N reactive elements (capacitors and/or inductors) to implement.

The next year was even better, with the club taking out the Div 2 Nth-West title in their first season at that level, finishing five points clear at the top of the table ahead of Mill Park. Avondale Heights' next promotion was to come in 2006, when the club finished second in the Provisional League Division 1 North-West. This promotion meant that the club would compete in the Victorian State Leagues for the first time, entering State League Division 3 North-West for the 2007 season. Devastatingly, the club were relegated on the final game of the 2007 season, finishing just one point of survival.

A significant body of evidence now exists for several games like chess, shogi and go as to the general composition of evaluation functions for them. The general approach for constructing evaluation functions is as a linear combination of various weighted terms determined to influence the value of a position. Each term may be considered to be composed of first order factors (those that depend only on the space and any piece on it), second order factors (the space in relation to other spaces), and nth-order factors (dependencies on history of the position). There is an intricate relationship between search and knowledge in the evaluation function.

Until the end of the 19th century, "theory of equations" was almost synonymous with "algebra". For a long time, the main problem was to find the solutions of a single non-linear polynomial equation in a single unknown. The fact that a complex solution always exists is the fundamental theorem of algebra, which was proved only at the beginning of the 19th century and does not have a purely algebraic proof. Nevertheless, the main concern of the algebraists was to solve in terms of radicals, that is to express the solutions by a formula which is built with the four operations of arithmetics and with nth roots.

On February 2, 2006, the weekend of Super Bowl XL, Hooters Casino Hotel officially opened its doors with a large orange carpet welcoming not only the public but many stars including KISS bass player Gene Simmons.Richard Abowitz, Hooters Opening , The Movable Buffet, Los Angeles Times, January 31, 2006. Former Miami Dolphins quarterback Dan Marino opened Dan Marino's Fine Food and Spirits restaurant on the same day the casino/hotel opened. In January 2007, 155 East Tropicana accepted an unsolicited offer from Hedwigs Las Vegas Top Tier, a joint venture of NTH Advisory Group and Silverleaf Real Estate, to buy the property for $225 million (including assumption of $130 million in debt).

In his algebraic treatise, Khayyam alludes to a book he had written on the extraction of the nth root of the numbers using a law he had discovered which did not depend on geometric figures. This book was most likely titled The difficulties of arithmetic (), and is not extant. Based on the context, some historians of mathematics such as D. J. Struik, believe that Omar must have known the formula for the expansion of the binomial (a+b)^n, where is a positive integer. The case of power 2 is explicitly stated in Euclid's elements and the case of at most power 3 had been established by Indian mathematicians.

Because the new Katar Hol had only just arrived on Earth, someone else had to have been Hawkman previously. In an attempt to resolve the problem it was established through retcons that the Golden Age Hawkman and Hawkgirl had continued to operate sporadically after their supposed retirement in 1951 through the 1990s, and that Nth metal originally came from Thanagar. The Halls, and not the Hols, joined the original incarnation of the JLA. Another Hawkman—Fel Andar, a Thanagarian agent—had been the one who joined the Justice League during the 1980s, pretending to be a hero but secretly spying on the League for his Thanagarian masters.

Several researchers (including Peters, 1991) have found that the prices of many financial instruments (such as currency exchange rates, stock values, etc.) also have H > 1/2. This means that they have a behavior that is distinct from a random walk, and therefore the time series is not generated by a stochastic process that has the nth value independent of all of the values before this. According to model of Fractional Brownian motion this is referred to as long memory of positive linear autocorrelation. However it has been shown that this measure is correct only for linear evaluation: complex nonlinear processes with memory need additional descriptive parameters.

Consider, for example, the number :3.1400010000000000000000050000.... 3.14(3 zeros)1(17 zeros)5(95 zeros)9(599 zeros)2(4319 zeros)6... where the digits are zero except in positions n! where the digit equals the nth digit following the decimal point in the decimal expansion of . As shown in the section on the existence of Liouville numbers, this number, as well as any other non-terminating decimal with its non-zero digits similarly situated, satisfies the definition of a Liouville number. Since the set of all sequences of non-null digits has the cardinality of the continuum, the same thing occurs with the set of all Liouville numbers.

Sidewinder possesses a cloak, created by scientists at the Roxxon subsidiary Brand Corporation's mutagenics laboratory and based on Nth Projector technology, which contains electronic circuitry that enables the wearer to open an aperture into another dimension. Sidewinder activates the cloak mentally through a device implanted in his body, enabling him to travel "sideways" through interdimensional space, taking with him whatever and whomever he drapes his cloak over. This allows him teleport up to away in a single "jump." A cybernetic control chip implanted in Sidewinder's brain allows him to control it with pinpoint accuracy, and activate pre-programmed coordinates if he is knocked out or badly wounded.

In algebraic topology, a Poincaré space is an n-dimensional topological space with a distinguished element µ of its nth homology group such that taking the cap product with an element of the kth cohomology group yields an isomorphism to the (n − k)th homology group. The space is essentially one for which Poincaré duality is valid; more precisely, one whose singular chain complex forms a Poincaré complex with respect to the distinguished element µ. For example, any closed, orientable, connected manifold M is a Poincaré space, where the distinguished element is the fundamental class [M]. Poincaré spaces are used in surgery theory to analyze and classify manifolds.

The Lindsey–Fox algorithm uses the FFT (fast Fourier transform) to very efficiently conduct a grid search in the complex plane to find accurate approximations to the N roots (zeros) of an Nth-degree polynomial. The power of this grid search allows a new polynomial factoring strategy that has proven to be very effective for a certain class of polynomials. This algorithm was conceived of by Pat Lindsey and implemented by Jim Fox in a package of computer programs created to factor high-degree polynomials. It was originally designed and has been further developed to be particularly suited to polynomials with real, random coefficients.

Polychotomous key refers to the number of alternatives which a decision point may have in a non-temporal hierarchy of independent variables. The number of alternatives are equivalent to the root or nth root of a mathematical or logical variable. Decision points or independent variables with two states have a binary root that is referred to as a dichotomous key whereas, the term polychotomous key refers to roots which are greater than one or unitary and usually greater than two or binary. Polychotomous keys are used in troubleshooting to build troubleshooting charts and in classification/identification schemes with characteristics that have more than one attribute and the order of characteristics is not inherently based on the progression of time.

He also led the Global Research Program on Institutions and Infrastructure for Market Development and was the director for Latin America. Between 2016 and 2018, he served as the executive director for Argentina, Bolivia, Chile, Paraguay, Peru and Uruguay at the World Bank Group in Washington, D.C. Torero was the chief of party for a US$449.6 million investment (2007-2012) by the Millennium Challenge Corporation (MCC) in rural infrastructure with a significant component of water and sanitation in El Salvador. The five-year investment consisted of three projects: connectivity project, human development project, and productive development project. The Connectivity Project included the Northern Transnational Highway (NTH) and the Network of Connecting Roads (NCR).

S. C. Macevicz, US Patent 5750341, filed 1995 This sequences every Nth base, where N is the length of the probe left behind after cleavage. To sequence the skipped positions, the anchor and ligated oligonucleotides may be stripped off the target DNA sequence, and another round of sequencing by ligation started with an anchor one or more bases shorter. A simpler, albeit more limited, technique is to do repeated rounds of a single ligation where the label corresponds to different position in the probe, followed by stripping the anchor and ligated probe. Sequencing by ligation can proceed in either direction (either 5'-3' or 3'-5') depending on which end of the probe oligonucleotides are blocked by the label.

In number theory, Carmichael's theorem, named after the American mathematician R.D. Carmichael, states that, for any nondegenerate Lucas sequence of the first kind Un(P,Q) with relatively prime parameters P, Q and positive discriminant, an element Un with n ≠ 1, 2, 6 has at least one prime divisor that does not divide any earlier one except the 12th Fibonacci number F(12)=U12(1, -1)=144 and its equivalent U12(-1, -1)=-144. In particular, for n greater than 12, the nth Fibonacci number F(n) has at least one prime divisor that does not divide any earlier Fibonacci number. Carmichael (1913, Theorem 21) proved this theorem. Recently, Yabuta (2001) gave a simple proof.

St Stephens Church Caulfield Nth Built in 1926,"New Church For Caulfield", 1926 Haddon's incorporation of the arts and crafts style with the traditional Gothic style is evident in St Stephen's Church, known when built as St Stephen's Presbyterian Church, on Balaclava Road, North Caulfield, Victoria, Australia. The fusion of styles marks a transition in Melbourne's church architecture, where the traditional proportions become reinvented through exterior and interior details. The outside of St. Stephens is softened by the use of red brick and stucco, with a striking cement cross that divides the façade symmetrically. Haddon also appropriates the verticality of gothic windows, dividing the internal space into smaller vertically stacked lead rectangles throughout.

In information retrieval, bit arrays are a good representation for the posting lists of very frequent terms. If we compute the gaps between adjacent values in a list of strictly increasing integers and encode them using unary coding, the result is a bit array with a 1 bit in the nth position if and only if n is in the list. The implied probability of a gap of n is 1/2n. This is also the special case of Golomb coding where the parameter M is 1; this parameter is only normally selected when -log(2-p)/log(1-p) ≤ 1, or roughly the term occurs in at least 38% of documents.

The price of stability was first studied by A. Schulzan and N. Moses and was so-called in the studies of E. Anshelevich. They showed that a pure strategy Nash equilibrium always exists and the price of stability of this game is at most the nth harmonic number in directed graphs. For undirected graphs Anshelevich and others presented a tight bound on the price of stability of 4/3 for a single source and two players case. Jian Li has proved that for undirected graphs with a distinguished destination to which all players must connect the price of stability of the Shapely network design game is O(\log n/\log\log n) where n is the number of players.

Explicitly: :PSL(V) = SL(V)/SZ(V) where SL(V) is the special linear group over V and SZ(V) is the subgroup of scalar transformations with unit determinant. Here SZ is the center of SL, and is naturally identified with the group of nth roots of unity in F (where n is the dimension of V and F is the base field). PGL and PSL are some of the fundamental groups of study, part of the so-called classical groups, and an element of PGL is called projective linear transformation, projective transformation or homography. If V is the n-dimensional vector space over a field F, namely the alternate notations and are also used.

On yet another separate branch of development, in the late 1960s, Yves Hellegouarch came up with the idea of associating hypothetical solutions (a, b, c) of Fermat's equation with a completely different mathematical object: an elliptic curve. The curve consists of all points in the plane whose coordinates (x, y) satisfy the relation : y^2 = x(x-a^n)(x+b^n). Such an elliptic curve would enjoy very special properties due to the appearance of high powers of integers in its equation and the fact that an + bn = cn would be an nth power as well. In 1982–1985, Gerhard Frey called attention to the unusual properties of this same curve, now called a Frey curve.

Melbourne: National Gallery of Victoria, 1961. Rembrandt,(with Nicholas Draffin) Rembrandt 1606–1696. Melbourne: National Gallery of Victoria, 1969 and many others; secured important works by Paul Klee, Marc Chagall, Albrecht Dürer, Rembrandt, Pablo Picasso, Anthony van Dyck, Giovanni Batista Tiepolo, Salvador Dalí, and innumerable others for the NGV's collection;European Art before 1800, 5th edn. Melbourne: National Gallery of Victoria, 1995 became Founding Editor of the Art Bulletin of Victoria; and published extensively in Australian and International art journals. An excellent source on Ursula Hoff’s early years and her work at the National Gallery of Victoria is Sheridan Palmer’s Centre of the Periphery: Three European Art Historians in Melbourne (Nth Melbourne, Vic: Australian Scholarly Publishing, 2008).

However the Daemonites took advantage of this to spread a deadly disease that quickly destroyed all Thanagarians' wings and killed their king. The new ruler, son of Provis and Katar's adoptive brother, Corsar, came to believe that only the Nth Metal could save them, but this desire for power sacrificed hundreds of lives, which was apparently rewarded when Katar was accidentally fused with it creating a full body armor and regenerating his wings. But seeing his brother's increasing insanity, Katar refused to let the metal power be distributed, leading to fighting between them and the death of Corsar. Shayera then vows to hunt down Hawkman, also blaming him for her father's death.

I can't begin to describe our love and respect for our fans > and friends - you who have shared in this journey with us around the world - > from road tripping in an RV around Nth America rotating night driving shifts > and trying not to die, to touring with many artists we admire, to > unforgettable weekends camping at Parachute and Easterfest festival > communities back home. It's been a privilege to rock out with you in your > car, through headphones during the morning run, or at a venue late into the > night. We love you. So now you are invited to join us for one last time, > 'The Final Tour' as a final celebration together in Australia and New > Zealand.

Unified framework is a general formulation which yields nth \- order expressions giving mode shapes and natural frequencies for damaged elastic structures such as rods, beams, plates, and shells. The formulation is applicable to structures with any shape of damage or those having more than one area of damage. The formulation uses the geometric definition of the discontinuity at the damage location and perturbation to modes and natural frequencies of the undamaged structure to determine the mode shapes and natural frequencies of the damaged structure. The geometric discontinuity at the damage location manifests itself in terms of discontinuities in the cross- sectional properties, such as the depth of the structure, the cross-sectional area or the area moment of inertia.

Silent mutations alter the secondary structure of mRNA. Secondary structure of proteins consists of interactions between the atoms of the backbone of a polypeptide chain, excluding the R-groups. One common type of secondary structures is the alpha helix, which is a right-handed helix that results from hydrogen bonds between the nth amino acid residue and the n+4th amino acid residue. The other common type of secondary structure is the beta sheet, which displays a right-handed twist, can be parallel or anti-parallel depending on the direction of the direction of the bonded polypeptides, and consists of hydrogen bonds between the carbonyl and amino groups of the backbone of two polypeptide chains.

He is using Metamorpho transformed into Nth metal to open the portal. Mr. Terrific is able to use Plastic Man in egg form to close the portal, but not before getting pulled in, along with Metamorpho and Plastic Man, who is now woken from his egg form. Plastic Man lands them on what appears to be some sort of planet, but is revealed to be a giant body. Mr. Terrific picks up a distress signal, and when they are tracing it, they meet Phantom Girl who is the ancestor of the Phantom Girl of the Legion of Superheroes, who has been living there for a long time now, and is trapped in phantom mode.

This led to the development of the low-cost Perimeter Acquisition Radar (PAR), whose function was to measure the threat tubes while they were still minutes away, determine their targets, and warn the appropriate SCDs. In February 1965 the Army asked Bell to consider a very light version of Nike-X intended to provide protection only under the limited attacks by smaller nuclear-armed countries, the so-called Nth Country concept. Bell combined the radars and computers from the SCD concept with Zeus EX, which pushed the engagement range out to hundreds of miles. This allowed a single base to provide coverage over multi-state areas, although it lost the advantages of Sprint in terms of nuclear blackout avoidance.

The Stern–Brocot sequence of order i consists of all values at the first i levels of the Stern–Brocot tree, together with the boundary values 0/1 and 1/0, in numerical order. Thus the Stern–Brocot sequences differ from the Farey sequences in two ways: they eventually include all positive rationals, not just the rationals within the interval [0,1], and at the nth step all mediants are included, not only the ones with denominator equal to n. The Farey sequence of order n may be found by an inorder traversal of the left subtree of the Stern–Brocot tree, backtracking whenever a number with denominator greater than n is reached.

Mathematics in China emerged independently by the 11th century BC.Chinese overview The Chinese independently developed a real number system that includes significantly large and negative numbers, more than one numeral system (base 2 and base 10), algebra, geometry, number theory and trigonometry. In the Han Dynasty, the Chinese made substantial progress on finding the nth root of positive numbers and solving linear congruence equations. The major texts from the period, The Nine Chapters on the Mathematical Art and the Book on Numbers and Computation gave detailed processes to solving various mathematical problems in daily life. All procedures were computed using a counting board in both texts, and they included inverse elements as well as Euclidean divisions.

The Amazing Colossal Man (also known as The Colossal Man) is a 1957 American black-and-white science fiction film from American International Pictures, produced and directed by Bert I. Gordon, that stars Glenn Langan, Cathy Downs, William Hudson, and Larry Thor. It is an uncredited adaptation of Homer Eon Flint's 1928 short science fiction novel The Nth Man. It was theatrically released by AIP as a double feature with Cat Girl. The film's storyline concerns a U.S. Army Lt. Colonel who survives a plutonium explosion and grows 8 to 10 feet a day, finally reaching 60 feet tall During the 1960s, the film was syndicated to television by American International Television.

He is the eponym of Zipf's law, which states that while only a few words are used very often, many or most are used rarely, :P_n \sim 1/n^a where Pn is the frequency of a word ranked nth and the exponent a is almost 1. This means that the second item occurs approximately 1/2 as often as the first, and the third item 1/3 as often as the first, and so on. Zipf's discovery of this law in 1935 was one of the first academic studies of word frequency.. Although he originally intended it as a model for linguistics, Zipf later generalized his law to other disciplines. In particular, he observed that the rank vs.

In computability theory, a primitive recursive function is roughly speaking a function that can be computed by a computer program whose loops are all "for" loops (that is, an upper bound of the number of iterations of every loop can be determined before entering the loop). Primitive recursive functions form a strict subset of those general recursive functions that are also total functions. The importance of primitive recursive functions lies on the fact that most computable functions that are studied in number theory (and more generally in mathematics) are primitive recursive. For example, addition and division, the factorial and exponential function, and the function which returns the nth prime are all primitive recursive.

Thomas Lightner first appeared as Blacksun in Marvel Two-in-One #21-23 (November 1976-January 1977), and was created by Bill Mantlo and Ron Wilson. The character subsequently appears in Marvel Two-in-One #42 (August 1978), #53-57 (July-December 1979), and became known as the Nth Man in Marvel Two-in-One #58 (December 1979). The character appears in the Squadron Supreme: Death of a Universe graphic novel (1989), Quasar #13 (August 1990), #19 (February 1991), and became known as Mysterium in the Squadron Supreme: New World Order graphic novel (September 1998). The character received an entry in the All-New Official Handbook of the Marvel Universe A-Z #7 (2006).

These mathematical tables from 1925 were distributed by the College Entrance Examination Board to students taking the mathematics portions of the tests Tables of common logarithms were used until the invention of computers and electronic calculators to do rapid multiplications, divisions, and exponentiations, including the extraction of nth roots. Mechanical special-purpose computers known as difference engines were proposed in the 19th century to tabulate polynomial approximations of logarithmic functions - that is, to compute large logarithmic tables. This was motivated mainly by errors in logarithmic tables made by the human computers of the time. Early digital computers were developed during World War II in part to produce specialized mathematical tables for aiming artillery.

The notation consists of a caret () followed by a single character (usually a capital letter). The digraph stands for the control character whose ASCII code is the same as the character's ASCII code with the uppermost bit, in a 7-bit encoding, reversed. A useful mnemonic, this has the effect of rendering the C0 control character with code N, (where N is from 1 up to ) as the Nth capital letter of the alphabet, since capital letters are represented by the ASCII code range 65–90 (0x41–0x5A). Seven ASCII control characters map outside the upper-case alphabet: 0 (NUL) is , 27 (ESC) is , 28 is , 29 is , 30 is , 31 is , and 127 (DEL) is .

See antiderivative and nonelementary integral for more details. A procedure called the Risch algorithm exists which is capable of determining whether the integral of an elementary function (function built from a finite number of exponentials, logarithms, constants, and nth roots through composition and combinations using the four elementary operations) is elementary and returning it if it is. In its original form, Risch algorithm was not suitable for a direct implementation, and its complete implementation took a long time. It was first implemented in Reduce in the case of purely transcendental functions; the case of purely algebraic functions was solved and implemented in Reduce by James H. Davenport; the general case was solved and implemented in Axiom by Manuel Bronstein.

One of DC's earliest super-heroines, Hawkgirl has appeared in many of the company's flagship team-up titles including Justice Society of America and Justice League of America. Several incarnations of Hawkgirl have appeared in DC Comics, all of them characterized by the use of archaic weaponry and artificial wings, attached to a harness made from the special Nth metal that allows flight. Most incarnations of Hawkgirl work closely with a partner/romantic interest Hawkman. Since DC's continuity was rewritten in the 1985 series Crisis on Infinite Earths, Hawkgirl history has become muddled with several new versions of the character appearing throughout the years, some associated with ancient Egypt and some with the fictional planet Thanagar.

A complete modern treatment of this topic was published in early 2011 by Erhan Kudeki and Marco Milla (both at the University of Illinois). Incoherent Scatter Spectral Theories — Part I : A General Framework and Results for Small Magnetic Aspect Angles, E. Kudeki and M. Milla, IEEE transactions on geoscience and remote sensing, 49, 315-328, 2011(January 2011)~~~~ From 1967 to 1969 he was director of the Jicamarca Radio Observatory in Lurigancho, outside Lima, Peru. Between 1971 and 1973 he was site director at the Arecibo Observatory. He lectured electrical engineering at NTH from 1973 to 1982, and in 1975 he became the first director of the EISCAT scientific association, when the organization's facilities in northern Scandinavia were constructed.

In mathematics, the canonical bundle of a non-singular algebraic variety V of dimension n over a field is the line bundle \,\\!\Omega^n = \omega, which is the nth exterior power of the cotangent bundle Ω on V. Over the complex numbers, it is the determinant bundle of holomorphic n-forms on V. This is the dualising object for Serre duality on V. It may equally well be considered as an invertible sheaf. The canonical class is the divisor class of a Cartier divisor K on V giving rise to the canonical bundle -- it is an equivalence class for linear equivalence on V, and any divisor in it may be called a canonical divisor. An anticanonical divisor is any divisor −K with K canonical.

The Bell numbers themselves, on the left and right sides of the triangle, count the number of ways of partitioning a finite set into subsets, or equivalently the number of equivalence relations on the set. provide the following combinatorial interpretation of each value in the triangle. Following Sun and Wu, let An,k denote the value that is k positions from the left in the nth row of the triangle, with the top of the triangle numbered as A1,1. Then An,k counts the number of partitions of the set {1, 2, ..., n + 1} in which the element k + 1 is the only element of its set and each higher-numbered element is in a set of more than one element.

During her time overseas, she also advised the Everard Studley Miller Bequest, the Art Foundation of Victoria, Art Gallery of South Australia, National Gallery of Australia, as well as a number of high-profile private collections, notably that of James Fairfax.C. Holden, The Outsider: A Portrait of Ursula Hoff, 2009, 28–29 Ursula Hoff retired as London Advisor of the Felton Bequest in April 1983.C. Holden, The Outsider: A Portrait of Ursula Hoff, 2009, 230–33 Important sources on Hoff’s years as London Advisor of the Felton Bequest are her meticulously kept diaries, which had been donated to the University of Melbourne Archives; and Colin Holden's The Outsider: A Portrait of Ursula Hoff (Nth Melbourne, Vic: Australian Scholarly Publishing, 2009).

Although loose definitions of superspreader events exist, some effort has been made at defining what qualifies as a superspreader event (SSEV). Lloyd-Smith et al. (2005) define a protocol to identify a superspreader event as follows: # estimate the effective reproductive number, R, for the disease and population in question; # construct a Poisson distribution with mean R, representing the expected range of Z due to stochasticity without individual variation; # define an SSEV as any infected person who infects more than Z(n) others, where Z(n) is the nth percentile of the Poisson(R) distribution. This protocol defines a 99th-percentile SSEV as a case which causes more infections than would occur in 99% of infectious histories in a homogeneous population.

After a long speech explaining the difficulty in building a "thick" system against the Soviets, he introduced the "thin" system this way: Following the Nth Country concept, Sentinel called for seventeen sites, fifteen in the continental US, and one each in Alaska and Hawaii. Each base would consist of a MSR with one or more faces depending on where the threats might approach from, a main missile battery with Spartan, and one or more optional remote bases with Sprint missiles. Five of the bases located near the Canada–US border would also host a PAR radar, as well as one in Fairbanks, Alaska. The base in Hawaii, open to attack from any angle and from short range, was equipped only with Sprint.

A linear algebraic group G over a field k is called simple (or k-simple) if it is semisimple, nontrivial, and every smooth connected normal subgroup of G over k is trivial or equal to G.Conrad (2014), after Proposition 5.1.17. (Some authors call this property "almost simple".) This differs slightly from the terminology for abstract groups, in that a simple algebraic group may have nontrivial center (although the center must be finite). For example, for any integer n at least 2 and any field k, the group SL(n) over k is simple, and its center is the group scheme μn of nth roots of unity. A central isogeny of reductive groups is a surjective homomorphism with kernel a finite central subgroup scheme.

In Dark Days: The Forge, Mister Terrific returns to Earth Prime as Batman unveils a containment unit in The Lunar Batcave bearing the Plastic Man logo, and suggests it is time to release him.Dark Days: The Forge #1 (June 2017) Mister Terrific stumbles upon Simon Stagg's plot to open a portal to the Dark Multiverse with Metamorpho transmutated to Nth Metal. While trying to get Simon Stagg to close the portal with the help of Plastic Man, Mister Terrific is sucked in to the portal with Plastic Man and Metamorpho as Plastic Man shields them from the Dark Multiverse energy. Upon arriving on a lifeless world, they encounter Phantom Girl who has been trapped in her intangible form and had no knowledge of sending a signal.

The Zero Hour miniseries muddled the waters further by merging the different Hawkmen into a "Hawkgod", who was the focus character in the third volume of the monthly Hawkman series. This version of Hawkman also had a small role in the alternate-future series Kingdom Come. After the end of this series, Hawkman's continuity was considered by DC to be too complicated, and he was absent from comics for several years. In the late 1990s, the JSA series untangled Hawkman's continuity, establishing him as Carter Hall, a man who—along with Shiera—had been reincarnated dozens of times since his life in ancient Egypt, and whose powers were derived from Thanagarian Nth metal, which had been retroactively renamed from "ninth metal".

In discrete-time control theory, the dead-beat control problem consists of finding what input signal must be applied to a system in order to bring the output to the steady state in the smallest number of time steps. For an Nth- order linear system it can be shown that this minimum number of steps will be at most N (depending on the initial condition), provided that the system is null controllable (that it can be brought to state zero by some input). The solution is to apply feedback such that all poles of the closed-loop transfer function are at the origin of the z-plane. (For more information about transfer functions and the z-plane see z-transform).

Wesley was initially designed to be a foil for the character of Rupert Giles. Actor Alexis Denisof comments that Wesley and Giles come from very similar backgrounds, but have gone in different directions "with the tools that they had"; he was conceived as a "nemesis" for Giles and Buffy. Co- executive producer Doug Petrie, who wrote Wesley's first episode "Bad Girls", explains, "The way Faith is a reflection of Buffy, Wesley takes up a lot of the space that Giles traditionally occupies." He elaborates that, because Giles is usually the "stuffy guy from England who tells you to sit up straight and obey the rules", introducing Wesley, who embodies those traits "to the nth degree", allows Giles to become "subversive" and "cool".

Scramble competition usually involves interactions among individuals of the same species, which makes competition balanced and often leads to a decline of population growth rate as the amount of resources depletes. The Ricker Model, is used to model scramble competition. It was originally formulated to study the growth of salmon populations and is given by the equation Pn+1 = R(Pn) = Pner(1-Pn/k), where Pn is the population at the nth time period, r is the Malthusian growth rate, and k is the carrying capacity of the population. The Ricker model, and a few other well-known population models, can be explicitly derived from individual-level processes assuming scramble competition and a random distribution of individuals among resources.

Like the hypercube graph, the vertices of the Fibonacci cube of order n may be labeled with bitstrings of length n, in such a way that two vertices are adjacent whenever their labels differ in a single bit. However, in a Fibonacci cube, the only labels that are allowed are bitstrings with no two consecutive 1 bits. There are Fn + 2 labels possible, where Fn denotes the nth Fibonacci number, and therefore there are Fn + 2 vertices in the Fibonacci cube of order n. Fibonacci cubes (drawn in red) as subgraphs of hypercubes The nodes of such a network may be assigned consecutive integers from 0 to Fn + 2 − 1; the bitstrings corresponding to these numbers are given by their Zeckendorf representations.

Pepper Dennis is an American comedy-drama television series that aired on The WB from April 4 to July 4, 2006. It was quickly announced on May 17, 2006 that Pepper Dennis would not be one of the WB shows transferred to The CW. Pepper Dennis was the final show to premiere on The WB before its transition to The CW network. The song used in commercials for the show was "Black Horse and the Cherry Tree" by KT Tunstall, and the opening theme song is "Better Half" by Chris Trapper, the former frontman for the Boston pop group The Push Stars. Another song that the WB used for advertising "Pepper Dennis" was Morningwood's "Nth Degree" which also appeared in another WB drama, One Tree Hill.

Many frameworks can be defined for infinite positional games of perfect information. The typical setup is a game between two players, I and II, who alternately pick subsets of a topological space X. In the nth round, player I plays a subset In of X, and player II responds with a subset Jn. There is a round for every natural number n, and after all rounds are played, player I wins if the sequence : I0, J0, I1, J1,... satisfies some property, and otherwise player II wins. The game is defined by the target property and the allowed moves at each step. For example, in the Banach–Mazur game BM(X), the allowed moves are nonempty open subsets of the previous move, and player I wins if \bigcap_n I_n eq \emptyset.

The work of Sylvester inspired A. B. Kempe, who showed that linkages for addition and multiplication could be assembled into a system that traced a given algebraic curve.A. B. Kempe, "On a general method of describing plane curves of the nth degree by linkwork," Proceedings of the London Mathematical Society, VII:213–216, 1876 Kempe's design procedure has inspired research at the intersection of geometry and computer science.R. Connelly and E. D. Demaine, "Geometry and Topology of Polygonal Linkages," Chapter 9, Handbook of discrete and computational geometry, (J. E. Goodman and J. O'Rourke, eds.), CRC Press, 2004 In the late 1800s F. Reuleaux, A. B. W. Kennedy, and L. Burmester formalized the analysis and synthesis of linkage systems using descriptive geometry, and P. L. Chebyshev introduced analytical techniques for the study and invention of linkages.

Law Australian law is governed under individual state laws & territories generally made from state Acts & Regulations governing ... Qld, NSW, Vic, Tas, South Aust, West Aust, Nth Territory, Aust Capital Territory, various off shore islands & Aust protectorates within the 200 nautical mile limit of the Commonwealth of Australia. Town Planning & Development Concepts of planning & development are primarily approved under state Town Planning Acts & Regulations, which outline the procedures & protocols for various types of projects. Town Planning is a separate university degree discipline, which is usually guided by the interest of the general community & attempts to solve development problems. Individual project concepts are approved under Local Authority Codes which are generally Council Town Planners acting as the preliminary Assessment Authority to issue preliminary development approvals, or state bodies eg Transport, Main Roads, Port or Airport Authorities.

In international finance, the redundancy problem, also known as the n − 1 problem, is a problem of inequality of the number of policy instruments and the number of targets at the international level, suggested by Robert Mundell in . This problem does not occur at the one-country level.. Suppose the number of countries in the world is n. Because this world is closed, one country's balance of payments surplus must be equal to another's deficit, and vice versa. Thus the sum of all countries' net payments positions must be zero. Therefore, if n − 1 countries out of n countries have determined their balances of payments, that of the nth country is determined automatically.. This fact implies that, if all of the n countries have payments objectives, only n − 1 countries can achieve the payments objectives.

Torbjørn Digernes in 2009 Torbjørn Digernes (born 30 March 1947 in Ørsta) is a Norwegian physicist and Professor of marine systems design.ESMU: Torbjørn Digernes , accessed 2010-10-07 He is a former Rector of the Norwegian University of Science and Technology (NTNU) He started as Rector from August 1, 2005.NTNU 2005-10-03: Møt vår nye rektor, Torbjørn Digernes His successor is Gunnar Bovim who officially assumed the post 1 August 2013.Gunnar Bovim selected as new NTNU rector (Press Release from NTNU 6 December 2012) Digernes is a former student of the then Norwegian Institute of Technology (NTH) as an engineering graduate of technical physics in 1972. He took a Doctor of Philosophy degree in 1982 from the same institution within informatics, concerning technical-economical analysis of design and operation of fishing vessels.

This Unified Framework involves a general analytical procedure, which yields nth- order expressions governing mode shapes and natural frequencies and for damaged elastic structures such as rods, beams, plates and shells of any shape. Features of the procedure include the following: # Rather than modeling the damage as a fictitious elastic element or localized or global change in constitutive properties, it is modeled in a mathematically rigorous manner as a geometric discontinuity. # The inertia effect (kinetic energy), which, unlike the stiffness effect (strain energy), of the damage has been neglected by researchers, is included in it. # The framework is generic and is applicable to wide variety of engineering structures of different shapes with arbitrary boundary conditions which constitute self adjoint systems and also to a wide variety of damage profiles and even multiple areas of damage.

If we define the following simple grammar: : variables : A B C : constants : none : start : A : rules : (A -> B), (B -> C), (C -> AB) then this Lindenmayer system or L-system produces the following sequence of strings: : n = 0 : A : n = 1 : B : n = 2 : C : n = 3 : AB : n = 4 : BC : n = 5 : CAB : n = 6 : ABBC : n = 7 : BCCAB : n = 8 : CABABBC and if we count the length of each string, we obtain the Padovan sequence of numbers: : 1 1 1 2 2 3 4 5 ... Also, if you count the number of As, Bs and Cs in each string, then for the nth string, you have P(n − 5) As, P(n − 3) Bs and P(n − 4) Cs. The count of BB pairs and CC pairs are also Padovan numbers.

On a separate branch of development, in the late 1960s, Yves Hellegouarch came up with the idea of associating solutions (a,b,c) of Fermat's equation with a completely different mathematical object: an elliptic curve. The curve consists of all points in the plane whose coordinates (x, y) satisfy the relation : y^2 = x(x-a^n)(x+b^n). \, Such an elliptic curve would enjoy very special properties, which are due to the appearance of high powers of integers in its equation and the fact that an + bn = cn is an nth power as well. In the summer of 1986, Ken Ribet demonstrated that, just as Frey had anticipated, a special case of the Taniyama–Shimura conjecture (still not proved at the time), together with the now proved epsilon conjecture, implies Fermat's Last Theorem.

Related to card shuffling are several other problems of counting special kinds of permutations that are also answered by the Bell numbers. For instance, the nth Bell number equals the number of permutations on n items in which no three values that are in sorted order have the last two of these three consecutive. In a notation for generalized permutation patterns where values that must be consecutive are written adjacent to each other, and values that can appear non-consecutively are separated by a dash, these permutations can be described as the permutations that avoid the pattern 1-23. The permutations that avoid the generalized patterns 12-3, 32-1, 3-21, 1-32, 3-12, 21-3, and 23-1 are also counted by the Bell numbers.

At the United States service academies, at least those operated by the federal government directly, a different terminology is used, namely "fourth class", "third class", "second class" and "first class" (the order of numbering being the reverse of the number of years in attendance). In the UK first-year university students are sometimes called freshers early in the academic year; however, there are no specific names for those in other years nor for school pupils. Graduate and professional students in the United States are known by their year of study, such as a "second-year medical student" or a "fifth-year doctoral candidate." Law students are often referred to as "1L", "2L", or "3L" rather than "nth- year law students"; similarly, medical students are frequently referred to as "M1", "M2", "M3", or "M4".

In the 15th century, Ghiyath al-Kashi computed the value of π to the 16th decimal place. Kashi also had an algorithm for calculating nth roots, which was a special case of the methods given many centuries later by Ruffini and Horner. Other achievements of Muslim mathematicians during this period include the addition of the decimal point notation to the Arabic numerals, the discovery of all the modern trigonometric functions besides the sine, al- Kindi's introduction of cryptanalysis and frequency analysis, the development of analytic geometry by Ibn al-Haytham, the beginning of algebraic geometry by Omar Khayyam and the development of an algebraic notation by al-Qalasādī. During the time of the Ottoman Empire and Safavid Empire from the 15th century, the development of Islamic mathematics became stagnant.

To combine these two features requires that the radar carry out nth time around tracking, that is, it had to be able to track an echo resulting from a transmitted pulse other than that sent as the start of the same PRF period in which the echo was received. In order to do so the range system employed a 2-second time base which allowed the system to determine the number of PRF periods elapsing before an echo, resulting from a particular transmit (Tx) pulse was received. The range system carried out a find process, then a verify process before entering the auto-tracking mode. [Note: All the following discussion uses ranges in yards—the radar was designed to work in those units and converting them to metric units would not add any clarity to this description.

The method of exhaustion (; ) is a method of finding the area of a shape by inscribing inside it a sequence of polygons whose areas converge to the area of the containing shape. If the sequence is correctly constructed, the difference in area between the nth polygon and the containing shape will become arbitrarily small as n becomes large. As this difference becomes arbitrarily small, the possible values for the area of the shape are systematically "exhausted" by the lower bound areas successively established by the sequence members. The method of exhaustion typically required a form of proof by contradiction, known as reductio ad absurdum. This amounts to finding an area of a region by first comparing it to the area of a second region (which can be “exhausted” so that its area becomes arbitrarily close to the true area).

Trondheim Flyklubb was founded in December 1947, while NTH Flyklubb was reanimated. Affiliated with the Norwegian Institute of Technology, it had been established in 1934. The Civil Aviation Administration demanded in 1948 that the aviation clubs upgrade the airport,Hafstad: 67 specifically by removing the wooden sections of taxiway and runway. This was carried out as a volunteer service during the fall, which allowed the airport to be rated for commercial services.Hafstad: 68 The two clubs organized an annual air show, both to generate income and to raise the interest for aviation.Hafstad: 71 Trøndelag Flygeselskap remained in business until 1950. A new airline, A/S Trønderfly, was established on 11 July 1950 and bought a single aircraft, serving the uncovered market in the surge of the first company's failure. Trønderfly bought only a single aircraft, which it chose not to insure.

A Quiet Word With ... was generally well regarded by critics and reviewers. Fairfax Media television critics Doug Anderson and Greg Hassall reviewed the program positively, reflecting that while Martin approached some guests as a fan, the conversations were generally conducted as being between colleagues, allowing the interviewees to become relaxed and sometimes quite revealing with the information that they would then become willing to share. Rachel Browne of The Sydney Morning Herald stated that the conversation with Oscar nominated American actor Lily Tomlin showed Martin to be a talented interviewer with "just the right note of inquisitiveness in this well- researched interview". Similarly, Matt Smith wrote on electronic magazine Crikey that "Tony Martin’s interviews are like no other, he knows the guests’ background to the nth degree, and asks the questions that wouldn’t occur to a more conventional host with glasses".

If an equation can be put into the form f(x) = x, and a solution x is an attractive fixed point of the function f, then one may begin with a point x1 in the basin of attraction of x, and let xn+1 = f(xn) for n ≥ 1, and the sequence {xn}n ≥ 1 will converge to the solution x. Here xn is the nth approximation or iteration of x and xn+1 is the next or n + 1 iteration of x. Alternately, superscripts in parentheses are often used in numerical methods, so as not to interfere with subscripts with other meanings. (For example, x(n+1) = f(x(n)).) If the function f is continuously differentiable, a sufficient condition for convergence is that the spectral radius of the derivative is strictly bounded by one in a neighborhood of the fixed point.

The island of Delos (; ; Attic: , Doric: ), near Mykonos, near the centre of the Cyclades archipelago, is one of the most important mythological, historical, and archaeological sites in Greece. The excavations in the island are among the most extensive in the Mediterranean; ongoing work takes place under the direction of the Ephorate of Antiquities of Cyclades, and many of the artifacts found are on display at the Archaeological Museum of Delos and the National Archaeological Museum of Athens. Delos had a position as a holy sanctuary for a millennium before Olympian Greek mythology made it the birthplace of Apollo and Artemis. From its Sacred Harbour, the horizon shows the three conical mounds that have identified landscapes sacred to a goddess in other sites: one, retaining its Pre-Greek name Mount Kynthos,The combination -nth- is a marker for Pre-Greek words: Corinth, menthos, labyrinth, etc.

During the start of the Archie Comics run of the character, the Fly possessed only four talents: the ability to walk up walls, to see in all directions, to escape from any trap, and acrobatic agility. Later in the series a string of insect powers were gradually added; in his final realization the Fly possessed whatever power the world's insects possessed multiplied times an nth quantity. Prime examples were: strength of a million ants, flight as fast as a million flies, durability, the power to shatter materials by vibrating his "wings" in chirping cricket fashion, webbing spun from the small of his back, bio-luminescent light and "heat", resistance to radiation and the ability to mentally control insects. Later in the series when actress Kim Brand was provided her own Fly Ring powers, becoming Fly- Girl, she possessed the same roster of magical insect-themed endowments.

As the Corps battle John Stewart activates a safety measure he built into the new Sinestro Corps power battery, a green impunity making them ineffective against willpower as a result Soranik and her Corps leave. The Sinestro Corps power battery is dismantled, the loyal Sinestro Corps members are made Green Lanterns, while Tomar-Tu is taken away to be imprisoned but not before sending his ring to find a new Xudarian green lantern, hoping one day to redeem himself. As a result, Sarko had changed history keeping the two Corps apart, but not only that; on Qward is revealed that Lyssa Drak and a heavily injured Sinestro have survived. Shortly thereafter the Green Lantern Corps help save High Father, Orion and the New Gods from Nth Metal Golems made by Yuga Khan of the Old Gods designed to kill his own progeny and free him from the Source Wall.

On that date, they are sworn in by their individual oaths of office and thereby collectively become the Nth Congress (89th, 95th, 105th, ...). The Court did not reach, because it determined it did not need to in this case, the question of which Congress the Constitution was referring to that had the power to expel one of its members. The Court determined in this case that no Congress could exclude a future member, a candidate member, from being sworn in and taking a seat in the House. The Court found that if the Congress went beyond a determination that a candidate member had satisfied the Constitution's qualifications for membership and had been duly chosen by and through the laws of their state, it could not, under the Constitution, go further in examining and possibly reject a candidate member before administering the oath of office and seating him.

If p is an irregular prime and p divides the numerator of the Bernoulli number B2k for , then is called an irregular pair. In other words, an irregular pair is a book-keeping device to record, for an irregular prime p, the particular indices of the Bernoulli numbers at which regularity fails. The first few irregular pairs (when ordered by k) are: : (691, 12), (3617, 16), (43867, 18), (283, 20), (617, 20), (131, 22), (593, 22), (103, 24), (2294797, 24), (657931, 26), (9349, 28), (362903, 28), ... . The smallest even k such that nth irregular prime divides Bk are :32, 44, 58, 68, 24, 22, 130, 62, 84, 164, 100, 84, 20, 156, 88, 292, 280, 186, 100, 200, 382, 126, 240, 366, 196, 130, 94, 292, 400, 86, 270, 222, 52, 90, 22, ... For a given prime p, the number of such pairs is called the index of irregularity of p.

The original statement of the paradox, due to Richard (1905), is strongly related to Cantor's diagonal argument on the uncountability of the set of real numbers. The paradox begins with the observation that certain expressions of natural language define real numbers unambiguously, while other expressions of natural language do not. For example, "The real number the integer part of which is 17 and the nth decimal place of which is 0 if n is even and 1 if n is odd" defines the real number 17.1010101... = 1693/99, whereas the phrase "the capital of England" does not define a real number, nor the phrase "the smallest positive integer not definable in under sixty letters" (see Berry's paradox). Thus there is an infinite list of English phrases (such that each phrase is of finite length, but the list itself is of infinite length) that define real numbers unambiguously.

Dracula, Alfred Pennyworth treated some of the batarangs with garlic in preparation of the Dark Knight's battle with Count Dracula. In Batman: The Brave and the Bold, the batarangs are not shown as high tech futuristic throwing tools like in The Batman, but as simple shuriken/boomerangs that he uses to fight crime (although he has been seen using explosive batarangs, and in the case of the Gentleman Ghost, Nth metal batarangs.) Batman has also been shown to be able to turn his bat symbol into a batarang, as seen the pilot episode, "Rise of the Blue Beetle". Also, Owlman, Batman's parallel universe counterpart, has a similar weapon to the batarang, however, his, instead of spinning at high speeds, fly straight like a glider. In the series Beware the Batman, the batarangs have a shape similar to the Nolan universe counterpart with bronze and gray coloring.

He was probably best known to video game fans as Werner Huber in The Beast Within: A Gabriel Knight Mystery. He was the voice of "Hershey's Kisses" commercials for 14 years. He made guest appearances on many television series, including The Rifleman, Bonanza, Perry Mason, Gunsmoke, Beyond Belief: Fact or Fiction as Anatole in the twelfth episode of the third season, Star Trek: The Next Generation as a Cytherian in the season four episode "The Nth Degree", and in Star Trek: Deep Space Nine as the Bajoran Sirah in the first-season episode "The Storyteller". He also appeared on ER, the Charmed episode "Happily Ever After", the Outer Limits episode "The Premonition" as a "Limbo Being" caught in time, Seinfeld as the Latvian Orthodox priest, The X-Files episode "The Calusari" as the head Calusari, and Frasier as a vagrant who wants a kiss from Martin Crane.

There also has been interest in the possible use of gadolinium-157 (157Gd) as a capture agent for NCT for the following reasons: First, and foremost, has been its very high neutron capture cross section of 254,000 barns. Second, gadolinium compounds, such as Gd-DTPA (gadopentetate dimeglumine Magnevist®), have been used routinely as contrast agents for magnetic resonance imaging (MRI) of brain tumors and have shown high uptake by brain tumor cells in tissue culture (in vitro). Third, gamma rays and internal conversion and Auger electrons are products of the 157Gd (n,γ)158Gd capture reaction (157Gd + nth (0.025eV) → [158Gd] → 158Gd + γ + 7.94 MeV). Although the gamma rays have longer pathlengths, orders of magnitude greater depths of penetration compared with alpha particles, the other radiation products (internal conversion and Auger electrons) have pathlengths of approximately one cell diameter and can directly damage DNA.

Since subjects can recognize biological motion upon viewing a point light walker, then the similarities between these two stimuli may highlight critical features needed for biological motion recognition. Through psychophysical experiments, it was found that subjects could recognize biological motion using a CFS stimulus which contained opponent motion in the horizontal direction but randomly moving dots in the horizontal direction (Figure 2). Because of the movement of the dots, this stimulus could not be fit to a human skeleton model suggesting that biological motion recognition may not heavily rely on form as a critical feature. Also, the psychophysical experiments showed that subjects similarly recognize biological motion for both the CFS stimulus and SPS, a stimulus in which dots of the point light walker were reassigned to different positions within the human body shape for every nth frame thereby highlights the importance of form vs the motion (Fig.1.).

The islands are volcanic ocean peaks, much as they are reef-ringed, not atolls, and are thereby highly fertile. Garove (Vitu, or Big Witu) and Unea (Bali) are the largest islands. The group was the chief copra center of Papua New Guinea, although cocoa is now the main crop harvested due to the depressed prices available for copra. The islands are situated west of north of Talasea peninsula, Nth Coast New Britain, with Unea some E of south of the main group, and the remaining other islands Mundua (Ningau), situated eleven kilometers (7 mi.) northwest of Garove, and Naragé some twenty-four km (15 mi.) northwest of Mundua, the final extension of the sub-aqueous peaks chain being the Ottilian Reef (Attilian Reef) a further twenty-two km northwest of Naragé, this last all but totally submerged at all tide states, and dangerous to shipping.

For instance, there are uncountably many numbers whose decimal expansions (in base 3 or higher) do not contain the digit 1, and none of these numbers is normal. Champernowne's constant : 0.1234567891011121314151617181920212223242526272829..., obtained by concatenating the decimal representations of the natural numbers in order, is normal in base 10. Likewise, the different variants of Champernowne's constant (done by performing the same concatenation in other bases) are normal in their respective bases (for example, the base-2 Champernowne constant is normal in base 2), but they have not been proven to be normal in other bases. The Copeland–Erdős constant : 0.23571113171923293137414347535961677173798389..., obtained by concatenating the prime numbers in base 10, is normal in base 10, as proved by . More generally, the latter authors proved that the real number represented in base b by the concatenation : 0.f(1)f(2)f(3)..., where f(n) is the nth prime expressed in base b, is normal in base b.

In mathematics, the pluricanonical ring of an algebraic variety V (which is non-singular), or of a complex manifold, is the graded ring :R(V,K)=R(V,K_V) \, of sections of powers of the canonical bundle K. Its nth graded component (for n\geq 0) is: :R_n := H^0(V, K^n),\ that is, the space of sections of the n-th tensor product Kn of the canonical bundle K. The 0th graded component R_0 is sections of the trivial bundle, and is one-dimensional as V is projective. The projective variety defined by this graded ring is called the canonical model of V, and the dimension of the canonical model is called the Kodaira dimension of V. One can define an analogous ring for any line bundle L over V; the analogous dimension is called the Iitaka dimension. A line bundle is called big if the Iitaka dimension equals the dimension of the variety.

The main arterial road in Charmhaven is Pacific Highway Route 3 and connects with Doyalson Link Road. Several bus routes service Charmhaven, Operated by Busways Wyong and Coastal Liner (CDCNSW) 90: BUDGEWOI Lake loop (Anti-Clockwise) 92: BUDGEWOI Lake loop (Clockwise) 94: BUDGEWOI to Wyong and/or Tuggerah DIRECT Via Pacific Highway 95: LAKE HAVEN to Morisset Via Gwandalan 95X: LAKE HAVEN to Wyee Stn Via Gwandalan 97: LAKE HAVEN to Mannering Park and/or Wyee Point and Wyee Station 98: LAKE HAVEN to BLUE HAVEN LOOP 98: LAKE HAVEN to Chain Valley Bay (Nth and/or Sth) 99: LAKE HAVEN to Lake Munmorah and/or Chain Valley Bay, Gwandalan, Summerland Point, Swansea and Charlestown. As of November 2010, with the revision of OMBSC 6 (Busways Central Coast) it was agreed that Coastal Liner (Now CDCNSW) would operate several Busways runs, 98 Blue Haven loop being one of them only during certain times of the day, OPAL cards can still be used on Coastal Liner services.

In mathematics, a homology theory in algebraic topology is compactly supported if, in every degree n, the relative homology group Hn(X, A) of every pair of spaces :(X, A) is naturally isomorphic to the direct limit of the nth relative homology groups of pairs (Y, B), where Y varies over compact subspaces of X and B varies over compact subspaces of A.. Singular homology is compactly supported, since each singular chain is a finite sum of simplices, which are compactly supported. Strong homology is not compactly supported. If one has defined a homology theory over compact pairs, it is possible to extend it into a compactly supported homology theory in the wider category of Hausdorff pairs (X, A) with A closed in X, by defining that the homology of a Hausdorff pair (X, A) is the direct limit over pairs (Y, B), where Y, B are compact, Y is a subset of X, and B is a subset of A.

The first Artist to join that label's roster was California based Progressive Rock/AOR band Echos Landing for their debut release "Closer To You" and soon followed by Arizona solo artist Laurie Larson for her sophomore release "Aquila". A year after Melodic Revolution Records was established it relocated to Orlando, Florida where it has grown from a roster of two artists to dozens of bands and artists. with close to a hundred releases. MRR is known mainly as a rock & progressive music label with artists from many countries, such as Aisles, Leon Alvarado, Amadeus Awad, Paul D'Adamo, Anuryzm, Backhand, Jim Crean, Andres Guazzelli, Darrel Treech- Birch, Corvus Stone, D Drive, Don Mancuso, Forever Twelve, Gekko Projekt, Kristoffer Gildenlöw, ifsounds, Joe Macre, Kinetic Element, Kracked Earth, Don Mancuso, Morpheus Rising, Murky Red, NeverWake, Odin's Court, Peter Matuchniak, Nth Ascension, Marco Ragni, Port Mahadia, Progland, The Room, Scarlet Hollow, Solstice Coil, Stratospheerius, Sunshine & Bullets, Time Horizon, Thoughts Factory, Transport Aerian, Unified Past, Vitriol, Wings Of Destiny, among others.

The Chebotarev density theorem may be viewed as a generalisation of Dirichlet's theorem on arithmetic progressions. A quantitative form of Dirichlet's theorem states that if N≥2 is an integer and a is coprime to N, then the proportion of the primes p congruent to a mod N is asymptotic to 1/n, where n=φ(N) is the Euler totient function. This is a special case of the Chebotarev density theorem for the Nth cyclotomic field K. Indeed, the Galois group of K/Q is abelian and can be canonically identified with the group of invertible residue classes mod N. The splitting invariant of a prime p not dividing N is simply its residue class because the number of distinct primes into which p splits is φ(N)/m, where m is multiplicative order of p modulo N; hence by the Chebotarev density theorem, primes are asymptotically uniformly distributed among different residue classes coprime to N.

In 1999, the 10th anniversary of passing of Yam, Loong disclosed the first time on camera, Yam's rule of thumb, "Be Natural" (). "2015 Talk on the Rendition of Yam Kim Fai", as just about all those have been speaking publicly since 1999, referred to this term first coined by Loong. James Wong, in his 2004 piece, also referenced Loong about Yam's style. "Prepared but be spontaneous to keep the performance refreshing in every show, as if it were the debut (first show) even for the Nth time in the same role", a bar set by mentor Yam for Loong, resulted in close to 40 versions of each of two titles from 2005 to 2008. This requirement from mentor Yam explains the challenge for Loong to be on stage within a six- month period and provide 40 different (in some way in one or two acts out of total 6 to 8) but still GOOD interpretations without changing the show as a whole.

As the original Doctor Who series was nearing its end and continuing during the first interregnum (1989–1996), numerous attempts were made to adapt the series for the big screen for the first time since the Peter Cushing films of the 1960s. Jean-Marc Lofficier, in his book The Nth Doctor, profiles a number of film proposals, some of which came close to being produced. Ultimately, however, the only film version of Doctor Who (other than the two Cushing films) produced to date has been the 1996 made- for-TV film which was developed as a continuation of the TV series rather than a reboot or reimagining of the concept.. At one point, the film had the full working title, Doctor Who: The Last of the Time Lords. Among the script proposals profiled by Lofficier are several submissions by Doctor Who and Space: 1999 alumnus Johnny Byrne, plus others by Robert DeLaurentis, Adrian Rigelsford, John Leekley, Mark Ezra and Denny Martin Flinn.

La Cava's direction of Huston is kaleidoscopically dazzling; together, they turn the abstractions of straw-figure advocacy into an emotionally intricate and ever- surprising character. Hammond's quasi-divine possession comes off as a sort of distanced madness, a fury that grips him not at all blindly; he calmly and unapologetically observes himself rising—or going deeper—into world-historical grandeur. In the presence of radio microphones and world leaders, Hammond delivers a wild speech (dictated by Hearst), that, in its utopian and histrionic extremes, foreshadows the climactic oration by Charlie Chaplin in “The Great Dictator” even as the specifics of the principled power-grab at the core of the film seem downright fascistic.” Although an internal MGM synopsis had labeled the script "wildly reactionary and radical to the nth degree," studio boss Louis B. Mayer "learned only when he attended the Glendale, California preview that Hammond gradually turns America into a dictatorship" writes film historian Barbara Hall.

Morse theory can be used to prove some strong results on the homology of manifolds. The number of critical points of index γ of f : M → R is equal to the number of γ cells in the CW structure on M obtained from "climbing" f. Using the fact that the alternating sum of the ranks of the homology groups of a topological space is equal to the alternating sum of the ranks of the chain groups from which the homology is computed, then by using the cellular chain groups (see cellular homology) it is clear that the Euler characteristic \chi(M) is equal to the sum :\sum(-1)^\gamma C^\gamma\,=\chi(M) where Cγ is the number of critical points of index γ. Also by cellular homology, the rank of the nth homology group of a CW complex M is less than or equal to the number of n-cells in M. Therefore, the rank of the γth homology group,i.e.

A morphism of chain complexes induces a morphism H_\bullet(F) of their homology groups, consisting of the homomorphisms H_n(F) : H_n(C) \to H_n(D) for all n. A morphism F is called a quasi-isomorphism if it induces an isomorphism on the nth homology for all n. Many constructions of chain complexes arising in algebra and geometry, including singular homology, have the following functoriality property: if two objects X and Y are connected by a map f, then the associated chain complexes are connected by a morphism F=C(f) : C_\bullet(X) \to C_\bullet(Y), and moreover, the composition g\circ f of maps f: X -> Y and g: Y -> Z induces the morphism C(g\circ f): C_\bullet(X) \to C_\bullet(Z) that coincides with the composition C(g) \circ C(f). It follows that the homology groups H_\bullet(C) are functorial as well, so that morphisms between algebraic or topological objects give rise to compatible maps between their homology.

The Stanley sequence starting from the empty set consists of those numbers whose ternary representations have only the digits 0 and 1. That is, when written in ternary, they look like binary numbers. These numbers are :0, 1, 3, 4, 9, 10, 12, 13, 27, 28, 30, 31, 36, 37, 39, 40, ... By their construction as a Stanley sequence, this sequence is the lexicographically first arithmetic-progression- free sequence. Its elements are the sums of distinct powers of three, the numbers n such that the nth central binomial coefficient is 1 mod 3, and the numbers whose balanced ternary representation is the same as their ternary representation. The construction of this sequence from the ternary numbers is analogous to the construction of the Moser–de Bruijn sequence, the sequence of numbers whose base-4 representations have only the digits 0 and 1, and the construction of the Cantor set as the subset of real numbers in the interval [0,1] whose ternary representations use only the digits 0 and 2.

Heavy Metal Parking Lot, for a decade or more, circulated through word-of-mouth, via the internet and on second-to-nth-generation bootlegged copies. A 20th-anniversary DVD edition with sequels, outtakes, where-are-they-now bonus footage and other inspirations is now available for sale. In his first professional position, Krulik served as the Metrovision Public-access television cable TV channel coordinator for the southern portion of Prince George's County, Maryland, a community that has inspired several of his films, including Public Access Gibberish (1990), a "greatest hits" montage of the most bizarre acts during his tenure at the cable access channel. Other films are Neil Diamond Parking Lot (1996), about the fans before a Neil Diamond concert at the same stadium as Heavy Metal Parking Lot, one decade later; and Ernest Borgnine on the Bus (1997), a documentary about actor Ernest Borgnine, his son and his custom RV; a compilation of many of the director's short films titled Heavy Metal Parking Lot: The Films of Jeff Krulik was released several years ago.

The 2015 festival was held on October 30 through November 1 and had a 1970s ghoul train theme. The bands featured were The String Cheese Incident (three nights), Pretty Lights, Primus, Chance the Rapper & Social Experiment, STS9, ODESZA, Slightly Stoopid, GRiZ, Lettuce, Railroad Earth, Papadosio, The Floozies, The Polish Ambassador, Sam Bush Band, The New Mastersounds, Manic Science (Manic Focus x Break Science), Future Rock, Michal Menert, Dopapod, Goldfish, Elephant Revival, The Nth Power, TAUK, Stick Figure, Little Hurricane, Earphunk, Sister Sparrow and the Dirtybirds, Big Wild, Turbo Suit, The Heavy Pets, Shook Twins, Greenhouse Lounge, Thomas Wynn & The Believers, The Heard, Modern Measure, Jon Stickley Trio, Catfish Alliance, Post Pluto, Master Radical, Great Peacock, Billy Gilmore & Friends, The Hip Abduction, Beebs & Her Money Makers, Come Back Alice, Displace, Juke, Sqeedlepuss, The Groove Orient, S.P.O.R.E., Flat Land, Bath Salt Zombies, Morning Fatty, and Holey Miss Moley. The Thursday night pre-party featured the bands Joe Russo's Almost Dead, Dumpstaphunk, Eoto, Herd of Watts, and Leisure Chief. In 2015, Suwannee Hulaween had no cap on the number of tickets it would sell and sold 17,500 tickets.

It was while working on this problem that he discovered transfinite ordinals, which occurred as indices n in the nth derived set Sn of a set S of zeros of a trigonometric series. Given a trigonometric series f(x) with S as its set of zeros, Cantor had discovered a procedure that produced another trigonometric series that had S1 as its set of zeros, where S1 is the set of limit points of S. If Sk+1 is the set of limit points of Sk, then he could construct a trigonometric series whose zeros are Sk+1. Because the sets Sk were closed, they contained their limit points, and the intersection of the infinite decreasing sequence of sets S, S1, S2, S3,... formed a limit set, which we would now call Sω, and then he noticed that Sω would also have to have a set of limit points Sω+1, and so on. He had examples that went on forever, and so here was a naturally occurring infinite sequence of infinite numbers ω, ω + 1, ω + 2, ... Between 1870 and 1872, Cantor published more papers on trigonometric series, and also a paper defining irrational numbers as convergent sequences of rational numbers.

Another linear control track, at the tape's lower edge, holds pulses that mark the beginning of every frame of video; these are used to fine-tune the tape speed during playback, so that the high speed rotating heads remained exactly on their helical tracks rather than somewhere between two adjacent tracks (known as "tracking"). Since good tracking depends on precise distances between the rotating drum and the fixed control/audio head reading the linear tracks, which usually varies by a couple of micrometers between machines due to manufacturing tolerances, most VCRs offer tracking adjustment, either manual or automatic, to correct such mismatches. The control track is also used to hold index marks, which were normally written at the beginning of each recording session, and can be found using the VCR's index search function: this will fast-wind forward or backward to the nth specified index mark, and resume playback from there. At times, higher-end VCRs provided functions for the user to manually add and remove these marksJVC HR-S7300 manual: features list: "..., Index Search, Manual Index Mark/Erase ..." — so that, for example, they coincide with the actual start of the television program — but this feature later became hard to find.

Regardless if ΔP is infinitesimal or finite, there is (at least—in the case of the derivative—theoretically) a point range, where the boundaries are P ± (0.5) ΔP (depending on the orientation—ΔF(P), δF(P) or ∇F(P)): :LB = Lower Boundary; UB = Upper Boundary; Derivatives can be regarded as functions themselves, harboring their own derivatives. Thus each function is home to sequential degrees ("higher orders") of derivation, or differentiation. This property can be generalized to all difference quotients. As this sequencing requires a corresponding boundary splintering, it is practical to break up the point range into smaller, equi-sized sections, with each section being marked by an intermediary point (Pi), where LB = P0 and UB = Pń, the nth point, equaling the degree/order: LB = P0 = P0 \+ 0Δ1P = Pń − (Ń-0)Δ1P; P1 = P0 \+ 1Δ1P = Pń − (Ń-1)Δ1P; P2 = P0 \+ 2Δ1P = Pń − (Ń-2)Δ1P; P3 = P0 \+ 3Δ1P = Pń − (Ń-3)Δ1P; ↓ ↓ ↓ ↓ Pń-3 = P0 \+ (Ń-3)Δ1P = Pń − 3Δ1P; Pń-2 = P0 \+ (Ń-2)Δ1P = Pń − 2Δ1P; Pń-1 = P0 \+ (Ń-1)Δ1P = Pń − 1Δ1P; UB = Pń-0 = P0 \+ (Ń-0)Δ1P = Pń − 0Δ1P = Pń; ΔP = Δ1P = P1 − P0 = P2 − P1 = P3 − P2 = ... = Pń − Pń-1; ΔB = UB − LB = Pń − P0 = ΔńP = ŃΔ1P.