460 Sentences With "radix" | Random Sentence Generator

Radix Win $5,000 by using a Radix Domain name for your hackathon project.

Radix Labs wants to be the operating system for laboratories.

On Friday, the White Nationalist Radix Journal also praised Mr. Trump.

Affected accounts belong to Richard Spencer, Pax Dickinson, Radix Journal, and others.

"Transgender people are often neglected in public health campaigns," Dr. Radix says.

Neither does Amy Hubble, a certified financial planner and founder of Radix Financial.

STORE domain name through Radix for a year for just $9.99, a savings of 60 percent.

"Imagine, if you're a masculine-looking trans man, and you're going to the gynecologist," Dr. Radix said.

" People often assume that transgender men are exclusively attracted to cisgender women, which Radix describes as a "misconception.

She moved from London to Cornwall 10 years ago, when she launched her own copywriting agency Radix Communications.

During his time at the Caller, Greer wrote racist screeds under a pseudonym for Richard Spencer's website Radix Journal.

But I prefer to think of the word in reference to its Latin origin: radix, the root of the issue.

The design dealer Jermaine Gallacher sits in Janina Pedan's Radix chair in front of his own yak's wool Denney rug.

Twitter blocked Spencer as well the National Policy Institute and Radix Journal, a think tank and publication both led by him.

Currently, it still hosts Richard Spencer's Radix Journal and National Policy Institute sites, as well as the homepage of Identity Europa.

Richard Spencer, president of the National Policy Institute and the editor of Radix Journal, is credited with coining the term Alt-Right.

The team used Shop Integrator for their storefront and Amazon Web Services for its hosting, domain name registration was handled by Radix.

"Hysterectomies were therefore done for legal reasons," Radix said, adding that this practice has increasingly been identified as a violation of human rights.

There is no evidence that trans men or women who take hormones have increased risks of any type of cancer, Dr. Radix said.

Dr. Asa Radix is an expert in the field of transgender medicine at Callen-Lorde, where he helps to treat more than 3,500 trans patients.

Radix is also the name of white supremacist Richard Spencer's journal and online magazine, as pointed out by former VICE News reporter Gaby Del Valle.

McHugh also tipped me off to former Daily Caller editor Scott Greer's years of posts for Spencer's blog Radix Journal, which I wrote about in September 2018.

Spencer's Radix press will even soon publish a book that includes an essay newly written by de Benoist, alongside one by the anti-Semitic author Kevin MacDonald.

In an interview with Broadly, Radix explained that some trans men feel dysphoric as a result of their internal sex organs, and that hysterectomy can alleviate that dysphoria.

Mr. Spencer, who dropped out of a doctoral program at Duke and worked, briefly, as an editor for The American Conservative, has his own online review, Radix Journal.

McHugh left for Breitbart, where she was eventually fired; Greer had earlier relinquished his post at the Caller prior to the revelation that he wrote for Spencer's Radix Journal.

"It seems we've been telling clients that rates are going higher forever, advising clients to stay short duration, " said Amy Hubble, a certified financial planner with Radix Financial in Oklahoma City.

Individual investors should only sell funds when their situation calls for a need to make a change, says Amy Hubble, a certified financial planner and principal investment adviser at Radix Financial.

"They really don't think about the fact that they don't have any credit," said certified financial planner Amy Hubble, an investment advisor and founding principal of Radix Financial in Oklahoma City.

For instance, "there are guys who prefer to have a hysterectomy because they are very uncomfortable having pelvic exams and pap smears, which are necessary when you have a cervix," Radix said.

Tell that to all the other people and things named Raddix, including: Derived from the Latin word for "root," a radix is the base in a numerical system, according to both Dictionary.

Radix pointed out that transgender people used to be required to have reconstructive genital surgery in order to legally alter their sex identification, which amounts to sterilization through the excision of reproductive organs.

"You're desperate to change your body, people will go through great lengths [to get that done]," Asa Radix, senior director of research and education for Callen-Lorde in New York City, told Rolling Stone.

U.S. District Judge J. Paul Oetken in Manhattan partially granted a motion to dismiss Marvel filed in a copyright case brought by the Horizon Comics Productions Inc, which published a comic-book series titled Radix.

There is no data suggesting that hysterectomies ought to be routinely performed, Radix explained, but many trans men, like Javier, do choose to undergo the procedure, and there are many different reasons that people make that decision.

In 2012, Radix, a slick website that resembles a hip critical journal (albeit one with a white nationalist bent), ran an essay that said the gun control movement is driven by women who want to repress men.

Diversifying minimizes the risk of an individual stock or company within a portfolio by spreading it around to several stocks in different industries, countries and asset classes, says Oklahoma City-based financial planner Amy Hubble of Radix Financial.

And while this dictionary definition of radix might suggest that baby Madden's name isn't pronounced like "rad dicks," both the linguistic addition of the second d and Diaz's description of baby Raddix as "rad" suggests that it is.

Two of the three sites that petitioners asked Squarespace to drop in August — Richard Spencer's Radix Journal and National Policy Institute — now redirect to generic Squarespace "claim this domain" space; the third, Identity Evropa, no longer includes Squarespace source code.

"For people who don't visit the doctor very often and can stomach paying the rare visit out of pocket, the ability to compound investment growth over a long working lifetime can be incredibly powerful," said Hubble, founding principal of Radix Financial.

"If you own individual bonds outright, they will continue to pay the stated coupon rate, and mature at par value regardless of price changes," said Amy Hubble, a certified financial planner and principal at Radix Financial in Oklahoma City, Oklahoma.

Trans men often avoid gynecologists, said Dr. Asa Radix, Mr. Oberman's physician and the senior director of research and education at the Callen-Lorde Community Health Center in New York, which provides health care for lesbian, gay, bisexual and transgender people.

Dr. Radix calls for safer health environments, patient registration under their correct names (not those listed on their birth certificates), and correct pronoun usage by health staff as a few ways to give trans people better access to the HIV-preventing drug.

Spencer founded Radix in 2012 to publish "original work on culture, race, tradition, meta-politics, and critical theory," and the choice of name is tied to the journal's perceived ideology of being "radical," a word that comes from the same Latin root.

He and his older brother, Bhavin, also founded Directi Group, a holding company with a portfolio of tech businesses — such as the domain registrar Radix and international voice-calling app Ringo — that reports $222 million in annual revenue, according to the company.

Spencer, who dropped out of Duke University while studying for a doctorate, is depicted in photos rocking the slicked-back hairstyle of a Brooklyn mixologist, and his website Radix Journal dishes on pop culture almost as much almost as much as politics.

Radix Journal, which Spencer founded in 2012, features illustrations of Trump as an emperor, sells "Haramche" t-shirts — blending the Harambe gorilla meme with Che Guevara, in a mocking way — and engages with the debates taking place among the Twitter trolls of the alt-right.

The white supremacist online journal Radix published an article about how Gamergate should be this moment where young men, millennial men realize that feminism has this great power of this broader culture and that this is their opportunity to kind of rise up and push back against that.

"Fortunately, providers are becoming much more aware of the diversity of sexual behaviors and identities of transmasculine people," Radix explained, citing "important research" being put out by Dr. Sari Reisner of Boston's leading transgender health provider, Fenway Health, and the work of Dr. Juno Obedin-Maliver of the University California San Francisco.

But while there are so many obstacles to care, there are also places that are going out of their way to provide compassionate treatment to trans patients--places like Callen Lorde, where Radix works, as well as Planned Parenthood, where Javier works, which offers transgender hormone therapy at 26 out of 57 local affiliates.

While men like Javier have hysterectomies because they want to, and Radix says that insurance companies are rightfully obligated to pay for them, the history of surgical gender transition is grievous, and trans people are still navigating the aftermath of decades of injustice that shaped the choices—or lack of choices—they had about their medical care.

This is why "white nationalist" is probably the most accurate description of the alt-right: They literally see themselves as giving birth to a new white nation in all or part of the continental US. "The ideal I advocate is the creation of a White Ethno-State on the North American continent," Spencer writes at Radix, his online journal.

WEBSITE – All Domains names are FREE for Hackathon Participants – Mention your domain name on stage during judging – Radix Domain should be the primary domain for hosting your project Techfugees The winning team of the Techfugees challenge will be granted a year of TechHub membership, consisting of access to workspace, a network of like-minded people across 7 global hubs & a growth support programme (that helps startups throughout the whole cycle, from MVP to exit). Twilio

The taxonomic status of certain species in the genus Radix has been disputed. Remigio (2002) reported sequence divergence within the 16S mitochondrial gene of Radix peregra and Radix ovata. Furthermore, the shell morphology and alloenzyme data indicated that Radix peregra and Radix ovata are distinct.Glöer P., Meier-Brook C., Osterman O. (1987).

In the decimal numbering system, the radix complement is called the ten's complement and the diminished radix complement the nines' complement. In binary, the radix complement is called the two's complement and the diminished radix complement the ones' complement. The naming of complements in other bases is similar. Some people, notably Donald Knuth, recommend using the placement of the apostrophe to distinguish between the radix complement and the diminished radix complement.

In mathematics and computing, a radix point (or radix character) is the symbol used in numerical representations to separate the integer part of a number (to the left of the radix point) from its fractional part (to the right of the radix point).. "Radix point" applies to all number bases. In base 10 notation, the radix point is more commonly called the decimal point, where the prefix deci- implies base 10. Similarly, the term "binary point" is used for base 2. In English-speaking countries, the radix point is usually a small dot (.) placed either on the baseline or halfway between the baseline and the top of the numerals.

Correa et al. (2010) confirmed that the placement of these species within the genus Radix reflected their phylogenetic relationship. A cladogram showing phylogenic relations of species in the genus Radix: The haploid number of chromosomes of all species in the genus Radix is 17 (n=17).

The species of Fasciola can become adapted to new intermediate hosts under certain conditions at least based on laboratory trials. The most important intermediate host for F. gigantica is Radix auricularia. However, other species are also known to harbour the fluke, including Lymnaea rufescens and Lymnaea acuminata in the Indian subcontinent; Radix rubiginosa and Radix natalensis in Malaysia and Africa, respectively; and the synonymous Lymnaea cailliaudi in East Africa. Other snails also serve as natural or experimental intermediates, such as Austropeplea ollula, Austropeplea viridis, Radix peregra, Radix luteola, Pseudosuccinea columella, and Galba truncatula.

Enhancements to the original implementation include increasing the radix and sparsity of the adder. The radix of the adder refers to how many results from the previous level of computation are used to generate the next one. The original implementation uses radix-2, although it's possible to create radix-4 and higher. Doing so increases the power and delay of each stage, but reduces the number of required stages.

IEEE Std 854-1987, the Standard for Radix-Independent Floating-Point Arithmetic, was the first Institute of Electrical and Electronics Engineers (IEEE) international standard for floating-point arithmetic with radices other than 2, including radix 10. IEEE 854 did not specify any data formats, whereas IEEE 754-1985 did specify formats for binary (radix 2) floating point. IEEE 754-1985 was superseded in 2008 by IEEE 754-2008, which specifies floating-point arithmetic for both radix 2 (binary) and radix 10 (decimal), and specifies two alternative formats for radix 10 floating-point values, and then again in 2019 by minor revision IEEE 754-2019. IEEE 754-2008 also has many other updates to the IEEE floating-point standardisation.

Hypoderaeum conoideum is a species of digenetic trematodes in the family Echinostomatidae. The known first intermediate hosts of Hypoderaeum conoideum include the freshwater snails Planorbarius corneus, Indoplanorbis exustus, Lymnaea stagnalis, Lymnaea limosa, Radix ovata and Radix rubiginosa.. Other freshwater snail species were capable of being experimentally infected: Lymnaea tumida, Radix peregra and Stagnicola corvus.

Radix rubiginosa is a species of air-breathing freshwater snail, an aquatic pulmonate gastropod in the family Lymnaeidae, the pond snails. This species is sometimes treated as a subspecies of Radix auricularia.

Lacanobia radix, the garden arches, is a species of cutworm or dart moth in the family Noctuidae. It is found in North America. The MONA or Hodges number for Lacanobia radix is 10298.

For greatest efficiency, the radix should be chosen to be near the number of data items, . Additionally, using a power of two near as the radix allows the keys for each pass to be computed quickly using only fast binary shift and mask operations. With these choices, and with pigeonhole sort or counting sort as the base algorithm, the radix sorting algorithm can sort data items having keys in the range from to in time .; , 8.3 Radix Sort, pp. 170–173.

Other similar algorithms are Flashsort (which is simpler) and Adaptive Left Radix. Adaptive Left Radix is apparently quite similar, the main difference being recursive behavior, with Spreadsort checking for worst-case situations and using std::sort to avoid performance problems where necessary, and Adaptive Left Radix recursing continuously until done or the data is small enough to use insertion sort.

Yet the testimony of Bertrand Barère helped to acquit him. In his memoirs published long after these events, Barère tells that it was Dumouriez who pressured him to intervene on behalf of Radix. In truth, Barère had everything to fear from the possible revelations from Radix. Radix was nonetheless sentenced to house arrest; he remained there only until next June.

Each pass is based on a single digit (e.g. 4-bits per digit in the case of 16-radix), starting from the most significant digit. Each bin is then processed recursively using the next digit, until all digits have been used for sorting. Neither in-place binary-radix sort nor n-bit-radix sort, discussed in paragraphs above, are stable algorithms.

All of these operations are O(k) where k is the maximum length of all strings in the set, where length is measured in the quantity of bits equal to the radix of the radix trie.

RADIX 50 (also called Radix 508 format) was used in Digital's 18-bit PDP-9 and PDP-15 computers to store symbols in symbol tables, leaving two extra bits per 18-bit word ("symbol classification bits").

350x350px In computer science, a radix tree (also radix trie or compact prefix tree) is a data structure that represents a space-optimized trie (prefix tree) in which each node that is the only child is merged with its parent. The result is that the number of children of every internal node is at most the radix of the radix tree, where is a positive integer and a power of 2, having ≥ 1. Unlike regular trees, edges can be labeled with sequences of elements as well as single elements. This makes radix trees much more efficient for small sets (especially if the strings are long) and for sets of strings that share long prefixes.

Radix luteola is a widespread species in south Asia and southeast Asia.

Chlorocypha radix is a species of jewel damselfly in the family Chlorocyphidae. The IUCN conservation status of Chlorocypha radix is "LC", least concern, with no immediate threat to the species' survival. The IUCN status was reviewed in 2017.

Although radix sorting itself dates back far longer, counting sort, and its application to radix sorting, were both invented by Harold H. Seward in 1954.. Section 5.2, Sorting by counting, pp. 75–80, and historical notes, p. 170..

With base e the natural logarithm behaves like the common logarithm as ln(1e) = 0, ln(10e) = 1, ln(100e) = 2 and ln(1000e) = 3. The base e is the most economical choice of radix β > 1 , where the radix economy is measured as the product of the radix and the length of the string of symbols needed to express a given range of values.

To convert integer decimals to octal, prefix the number with "0.". Perform the following steps for as long as digits remain on the right side of the radix: Double the value to the left side of the radix, using octal rules, move the radix point one digit rightward, and then place the doubled value underneath the current value so that the radix points align. If the moved radix point crosses over a digit that is 8 or 9, convert it to 0 or 1 and add the carry to the next leftward digit of the current value. Add octally those digits to the left of the radix and simply drop down those digits to the right, without modification. Example: 0.4 9 1 8 decimal value +0 --------- 4.9 1 8 +1 0 -------- 6 1.1 8 +1 4 2 -------- 7 5 3.8 +1 7 2 6 -------- 1 1 4 6 6.

Bupleurum chinense roots, also known as Radix Bupleuri, contain polyacetylenes and saponins/triterpenoids.

To convert octals to decimals, prefix the number with "0.". Perform the following steps for as long as digits remain on the right side of the radix: Double the value to the left side of the radix, using decimal rules, move the radix point one digit rightward, and then place the doubled value underneath the current value so that the radix points align. Subtract decimally those digits to the left of the radix and simply drop down those digits to the right, without modification. Example: 0.1 1 4 6 6 octal value -0 ----------- 1.1 4 6 6 - 2 ---------- 9.4 6 6 - 1 8 ---------- 7 6.6 6 - 1 5 2 ---------- 6 1 4.6 - 1 2 2 8 ---------- 4 9 1 8.

These are called the radix-2 and mixed-radix cases, respectively (and other variants such as the split- radix FFT have their own names as well). Although the basic idea is recursive, most traditional implementations rearrange the algorithm to avoid explicit recursion. Also, because the Cooley–Tukey algorithm breaks the DFT into smaller DFTs, it can be combined arbitrarily with any other algorithm for the DFT, such as those described below.

In computer science, radix sort is a non-comparative sorting algorithm. It avoids comparison by creating and distributing elements into buckets according to their radix. For elements with more than one significant digit, this bucketing process is repeated for each digit, while preserving the ordering of the prior step, until all digits have been considered. For this reason, radix sort has also been called bucket sort and digital sort.

So a decimal radix became the ratio between unit sizes of the metric system.

Radix linae is a species of freshwater snail, a gastropod mollusk in the family Lymnaeidae.

The radix economy of a number in a particular base (or radix) is the number of digits needed to express it in that base, multiplied by the base (the number of possible values each digit could have). This is one of various proposals that have been made to quantify the relative costs of using different radices in representing numbers, especially in computer systems. Radix economy also has implications for organizational structure, networking, and other fields.

In this usage, the four's complement refers to the radix complement of a number in base four while fours' complement is the diminished radix complement of a number in base 5. However, the distinction is not important when the radix is apparent (nearly always), and the subtle difference in apostrophe placement is not common practice. Most writers use one's and nine's complement, and many style manuals leave out the apostrophe, recommending ones and nines complement.

Combined integer and fractional values (i.e., rational numbers) can be represented by setting a radix point somewhere between two fingers (for instance, between the left and right pinkies). All digits to the left of the radix point are integers; those to the right are fractional.

Adding the diminished radix complement of x to y results in the value b^n - 1 - x + y or b^n - 1 - (x - y) which is the diminished radix complement of x-y. The diminished radix complement of this is the value x - y. Alternatively, adding the radix complement of y to x results in the value x + b^n - y or x - y + b^n. Assuming y ≤ x , the result will always be greater or equal to b^n and dropping the initial '1' is the same as subtracting b^n, making the result x - y + b^n - b^n or just x - y, the desired result.

The notation can be extended into the negative exponents of the base b. Thereby the so-called radix point, mostly ».«, is used as separator of the positions with non-negative from those with negative exponent. Numbers that are not integers use places beyond the radix point.

Food: Radix balthica feeds on algae and bacterial biofilms on hard substrate, also on detritus on soft bottoms.In some habitats mainly green algae and protozoans are consumed, in others mainly detritus.Radix balthica does not eat plants in good health. Parasites of Radix balthica include trematode Aspidogaster limacoides.

The locations or provinces in which herbs are grown often figure into herb names. For example, Bei Sha Shen (Radix glehniae) is grown and harvested in northern China, whereas Nan Sha Shen (Radix adenophorae) originated in southern China. And the Chinese words for north and south are respectively bei and nan. Chuan Bei Mu (Bulbus fritillariae cirrhosae) and Chuan Niu Xi (Radix cyathulae) are both found in Sichuan province, as the character "chuan" indicates in their names.

Radix is a science fiction novel by American writer A. A. Attanasio, published in 1981. It was nominated for the Nebula Award for Best Novel in 1981. It is the first of four books in Attanasio's Radix Tetrad, followed by In Other Worlds in 1984. Radix is the story of a young man's odyssey of self-discovery, from dangerous adolescent to warrior, from outcast to near-god, in a far- future Earth dramatically changed from the one we know.

The life cycle of T. regenti is analogous to that of human schistosomes. Adult flukes mate in a nasal mucosa of anatid birds (e.g. Anas platyrhynchos, Spatula clypeata or Cairina moschata) and produce eggs with miracidia which hatch directly in the host tissue and leak outside when the bird is drinking/feeding. Once in water, the miracidia swim using their cilia and actively search for a proper molluscan intermediate host (Radix lagotis, Radix labiata, Radix peregra).

On f. 5v, in a note on a page full of tables, the manuscript has the number "1392", followed by that number in sexagesimal notation, and the text "deffea xpi & Rxa chaucer". Price, and following him other scholars, expanded this as "differentia Christi and radix Chaucer"—or "the difference (in number of days) between (the year of Christ) and the (year of the) radix of Chaucer"—the radix in question then being the year 1392.Schmidt 4–5.

Radix natalensis is a species of freshwater snail, an aquatic gastropod mollusc in the family Lymnaeidae. This species occurs widely in Africa. It is a major intermediate host for Fasciola gigantica in Africa. Placement of this species in the genus Radix was confirmed by Correa et al. (2010).

Arnault Laporte was in charge of the Civil List and he collaborated with both Montmorin and Mirabeau. After the death of the latter, Radix de Sainte-Foix took his place in trying to manipulate the course of the Revolution with money. It was Radix who encouraged Louis XVI to place Dumouriez into the Ministry of Foreign Affairs to replace Valdec Lessart. Radix was so convincing that Louis XVI never had any doubts that his commitment to the good cause was sincere.

Failing that, all comparison sorting algorithms will also have the same overhead of looking through relatively useless bits but quick radix sort will avoid the worst case behaviours of standard quicksort and radix quicksort, and will be faster even in the best case of those comparison algorithms under these conditions of . See PowersDavid M. W. Powers, Parallel Unification: Practical Complexity, Australasian Computer Architecture Workshop, Flinders University, January 1995 for further discussion of the hidden overheads in comparison, radix and parallel sorting.

Radix sort dates back as far as 1887 to the work of Herman Hollerith on tabulating machines. and Radix sorting algorithms came into common use as a way to sort punched cards as early as 1923. Donald Knuth. The Art of Computer Programming, Volume 3: Sorting and Searching, Third Edition.

Radix sorting can also be accomplished by building a trie (or radix tree) from the input set, and doing a pre-order traversal, keeping only the leaves' values. This is similar to the relationship between heapsort and the heap data structure. This can be useful for certain data types, see burstsort.

Vexillum radix is a species of small sea snail, marine gastropod mollusk in the family Costellariidae, the ribbed miters.

Radix is a Latin word for "root". Root can be considered a synonym for base, in the arithmetical sense.

The complete mitochondrial genome of Radix balthica has been obtained by shotgun sequencing and it has been released in 2010.Feldmeyer B., Hoffmeier K. & Pfenninger M. (2010). "The complete mitochondrial genome of Radix balthica (Pulmonata, Basommatophora), obtained by low coverage shot gun next generation sequencing". Molecular Phylogenetics and Evolution 57(3): 1329-1333. .

General mixed radix systems were studied by Georg Cantor.. The term "factorial number system" is used by Knuth,. while the French equivalent "numération factorielle" was first used in 1888.. The term "factoradic", which is a portmanteau of factorial and mixed radix, appears to be of more recent date.The term "factoradic" is apparently introduced in .

A radix point in the decimal system is the usual . (dot) which marks the separation between the integer part and the fractional part of the number. In the quater-imaginary system a radix point can also be used. For a digit string ...d_{5}d_{4}d_{3}d_{2}d_{1}d_{0} .

Unlike regular trees (where whole keys are compared en masse from their beginning up to the point of inequality), the key at each node is compared chunk-of-bits by chunk-of-bits, where the quantity of bits in that chunk at that node is the radix of the radix trie. When the is 2, the radix trie is binary (i.e., compare that node's 1-bit portion of the key), which minimizes sparseness at the expense of maximizing trie depth—i.e., maximizing up to conflation of nondiverging bit-strings in the key.

It started with the establishment of the Quest and Aphelion consortiums, followed by ProEd and Radix. In 2000, the iSpark consortium was set up for students in the Gifted Education Programme (GEP). In 2002, Quest and Radix merged to form the Ortus consortium. Entrance archway of former The Chinese High School, and the current Hwa Chong Institution.

The Radix Tetrad is a group of four science fiction books by A. A. Attanasio. The first novel, the Nebula Award-nominated Radix, was published in 1981, and the last novel, The Last Legends of Earth was published in 1989. All four books of the Tetrad are being re-issued by Phoenix Pick, an imprint of Arc Manor Publishers.

In many other countries, the radix point is a comma (,) placed on the baseline. It is important to know which notation is being used when working in different software programs. The respective ISO standard defines both the comma and the small dot as decimal markers, but does not explicitly define universal radix marks for bases other than 10.

Radix jordii is a species of air-breathing freshwater snail, an aquatic pulmonate gastropod mollusk in the family Lymnaeidae, the pond snails.

The .tech TLD was launched in March 2015. It is currently owned and operated by Radix, founded by Bhavin Turakhia. In 2017, a .

Americoliva polpasta radix is a subspecies of the sea snail species Americoliva polpasta, a marine gastropod mollusk in the family Olividae, the olives.

Radix sort can be applied to data that can be sorted lexicographically, be they integers, words, punch cards, playing cards, or the mail.

The net result of all of these transpositions, for a radix-2 algorithm, corresponds to a bit reversal of the input (DIF) or output (DIT) indices. If, instead of using a small radix, one employs a radix of roughly and explicit input/output matrix transpositions, it is called a four-step algorithm (or six-step, depending on the number of transpositions), initially proposed to improve memory locality,Gentleman W. M., and G. Sande, "Fast Fourier transforms—for fun and profit," Proc. AFIPS 29, 563–578 (1966).Bailey, David H., "FFTs in external or hierarchical memory," J. Supercomputing 4 (1), 23–35 (1990) e.g.

The value of a is usually a prime number at least large enough to hold the number of different characters in the character set of potential keys. Radix conversion hashing of strings minimizes the number of collisions.Performance in Practice of String Hashing Functions Available data sizes may restrict the maximum length of string that can be hashed with this method. For example, a 128-bit double long word will hash only a 26 character alphabetic string (ignoring case) with a radix of 29; a printable ASCII string is limited to 9 characters using radix 97 and a 64-bit long word.

For ease of presentation and understanding, decimal radix with 7 digit precision will be used in the examples, as in the IEEE 754 decimal32 format. The fundamental principles are the same in any radix or precision, except that normalization is optional (it does not affect the numerical value of the result). Here, s denotes the significand and e denotes the exponent.

Project Gamma used members of the Khmer Serei and the Khmer Kampuchean Krom in its activities inside Cambodia. It consisted of five collection teams supervising 13 nets with 98 indigenous agents. A listing of the personnel assigned to Detachment B57 "GAMMA" is available from Radix Press Houston, Texas.Sherman, Stephen; WORK-IN-PROGRESS, Who's Who from Detachment B-57 (Project GAMMA), Radix Press 2006.

Radix sort, such as two pass method where counting sort is used during the first pass of each level of recursion, has a large constant overhead. Thus, when the bins get small, other sorting algorithms should be used, such as insertion sort. A good implementation of insertion sort is fast for small arrays, stable, in-place, and can significantly speed up radix sort.

In mathematics, the decimal separator is a type of radix point, a term that also applies to number systems with bases other than ten.

Beolens B, Watkins M, Grayson M. The Eponym Dictionary of Reptiles. Baltimore: Johns Hopkins University Press. xiii + 296 pp. . (Thamnophis radix haydeni, p. 118).

Numeral systems are classified here as to whether they use positional notation (also known as place-value notation), and further categorized by radix or base.

World Health Organization. 2004. The root product is called Senegae Radix, Radix Senegae, or simply senega. Active compounds include saponins such as senegin, as well as phenolic acids, sorbitol derivatives, methyl salicylate (oil of wintergreen), and sterols. The expectorant property comes from the irritation of mucous membranes by the saponins, which causes an increase in respiratory secretions and a decrease in their viscosity, giving a productive cough.

The radix entomolaris is an additional root in human's mandibular molar teeth. The human mandibular teeth have two roots usually. In rare cases, however, a root may develop between the distal and the mesial roots which is called entomolaris, if it is located lingual to the tooth. Such a phenomenon is named radix paramolaris in case an extra root is buccal to a molar tooth.

Ben Lai is a Canadian comic book penciler who worked on series such as Sigil, Radix, Thor and X-Men. His brother, Ray Lai, often inks his work. In 2002, the Lai brothers were involved in a controversy when the Massachusetts Institute of Technology used an image from Radix #1 in a $50 million grant proposal for the development of battlefield armor for the United States military.

Drawing of a live Radix auricularia The body is flecked with small white spots on the back of the head and tentacles, but not on the foot. The mantle is pigmented with a line of dark spots along its edge,Falniowski, A. 1980. Pigmentation of the mantle border in Polish representatives of the subgenus Radix (Lymnaeidae, Basommatophora, Gastropoda). Basteria 44(1-4):3-8.

If the repeated sequence is all 0s, both the zeros and the quote can be omitted. The radix point has its usual function; moving it left divides by the base; moving it right multiplies by the base. When the radix point is at the right end, the multiplicative factor is 1, and the point can be omitted. This gives the natural numbers their familiar form.

R. Sedgewick, "Algorithms in C++", third edition, 1998, p. 424-427 Handling signed integers requires treating the most significant bit with the opposite sense, followed by unsigned treatment of the rest of the bits. In-place MSD binary-radix sort can be extended to larger radix and retain in-place capability. Counting sort is used to determine the size of each bin and their starting index.

OpenPGP, described in RFC 4880, describes Radix-64 encoding, also known as "ASCII armor". Radix-64 is identical to the "Base64" encoding described from MIME, with the addition of an optional 24-bit CRC. The checksum is calculated on the input data before encoding; the checksum is then encoded with the same Base64 algorithm and, prefixed by "`=`" symbol as separator, appended to the encoded output data.

Mixed-radix numbers of the same base can be manipulated using a generalization of manual arithmetic algorithms. Conversion of values from one mixed base to another is easily accomplished by first converting the place values of the one system into the other, and then applying the digits from the one system against these. APL and J include operators to convert to and from mixed-radix systems.

Bit reversal is most important for radix-2 Cooley–Tukey FFT algorithms, where the recursive stages of the algorithm, operating in-place, imply a bit reversal of the inputs or outputs. Similarly, mixed-radix digit reversals arise in mixed-radix Cooley–Tukey FFTs.B. Gold and C. M. Rader, Digital Processing of Signals (New York: McGraw–Hill, 1969). The bit reversal permutation has also been used to devise lower bounds in distributed computation.. The Van der Corput sequence, a low-discrepancy sequence of numbers in the unit interval, is formed by reinterpreting the indexes of the bit-reversal permutation as the fixed-point binary representations of dyadic rational numbers.

RADIX 50 or RAD50 (also referred to as RADIX50, RADIX-50 or RAD-50), is an uppercase-only character encoding created by Digital Equipment Corporation (DEC) for use on their DECsystem, PDP, and VAX computers. RADIX 50's 40-character repertoire (050 in octal) can encode six characters plus four additional bits into one 36-bit machine word (PDP-6, PDP-10/DECsystem-10, DECSYSTEM-20), three characters plus two additional bits into one 18-bit word (PDP-9, PDP-15), or three characters into one 16-bit word (PDP-11, VAX). The actual encoding differs between the 36-bit and 16-bit systems.

Mixed radix numeral systems are non-standard positional numeral systems in which the numerical base varies from position to position. Such numerical representation applies when a quantity is expressed using a sequence of units that are each a multiple of the next smaller one, but not by the same factor. Such units are common for instance in measuring time; a time of 32 weeks, 5 days, 7 hours, 45 minutes, 15 seconds, and 500 milliseconds might be expressed as a number of minutes in mixed-radix notation as: ... 32, 5, 7, 45; 15, 500 ... ∞, 7, 24, 60; 60, 1000 or as :32∞577244560.15605001000 In the tabular format, the digits are written above their base, and a semicolon indicates the radix point. In numeral format, each digit has its associated base attached as a subscript, and the radix point is marked by a full stop or period.

Changing the radix, in particular from binary to decimal, can help to reduce the error and better control the rounding in some applications, such as financial applications.

Apertural view of a shell of Radix rubiginosa. The shape of the shell is elongated and cylindrical. The shell has 5 whorls. The aperture is moderately expanded.

Alfred Angelo Attanasio, born on September 20, 1951, in Newark, New Jersey, is an author of fantasy and science fiction. His science-fiction novel Radix was nominated for the 1981 Nebula Award for Best Novel and was followed by three other novels, the four books, together, comprising the critically acclaimed Radix Tetrad. The Tetrad is being re-issued by Phoenix Pick Publishers. He also writes under the name Adam Lee.

In modern positional numbers systems, such as the decimal system, the digits and their positions in the representation of an integer, for example, 45, are a shorthand notation for a polynomial in the radix or base, in this case, . As another example, in radix 5, a string of digits such as 132 denotes the (decimal) number = 42. This representation is unique. Let b be a positive integer greater than 1.

Swapping is used to place the current element into its bin, followed by expanding the bin boundary. As the array elements are scanned the bins are skipped over and only elements between bins are processed, until the entire array has been processed and all elements end up in their respective bins. The number of bins is the same as the radix used - e.g. 16 bins for 16-radix.

These considerations result in a count: 4 N \log_2 N - 6N + 8 real additions and multiplications, for N>1 a power of two. This count assumes that, for odd powers of 2, the leftover factor of 2 (after all the split-radix steps, which divide N by 4) is handled directly by the DFT definition (4 real additions and multiplications), or equivalently by a radix-2 Cooley–Tukey FFT step.

C. acaulis root is known as Carlinae radix and is still used medicinally as a diuretic and a treatment for such conditions as skin lesions and rashes, catarrh, and toothache. Most commercial preparations of Carlinae radix are not C. acaulis, but are in fact adulterated with C. acanthifolia, a related species. The essential oil of both species is mostly composed of carlina oxide, an acetylene derivative. The compound has antimicrobial activity.

Many of these techniques take advantage of or rely on the decimal numeral system. Usually, the choice of radix is what determines which method or methods to use.

Radix auricularia is in the family Lymnaeidae, which consists of scrapers and collector-gatherers. This species feeds on such items as detritus, Cladophora spp. (algae), and sand grains.

Jing, Z. 1983. Anatomy of the circulatory system of Radix auricularia. Acta Zoologica Sinica 29(2):133-140. The heart pulsations are slow and regular: thirty-four per minute.

Malware may exploit user familiarity with regular shortcuts. A programming language's standard library usually provides a function similar to the pseudocode `ParseInteger(string, radix)`, which creates a machine-readable integer from a string of human-readable digits. The radix conventionally defaults to 10, meaning the string is interpreted as decimal (base 10). This function usually supports other bases, like binary (base 2) and octal (base 8), but only when they are specified explicitly.

The most common result of an overflow is that the least significant representable digits of the result are stored; the result is said to wrap around the maximum (i.e. modulo a power of the radix, usually two in modern computers, but sometimes ten or another radix). An overflow condition may give results leading to unintended behavior. In particular, if the possibility has not been anticipated, overflow can compromise a program's reliability and security.

Radix sort operates in O(nw) time, where n is the number of keys, and w is the key length. LSD variants can achieve a lower bound for w of 'average key length' when splitting variable length keys into groups as discussed above. Optimized radix sorts can be very fast when working in a domain that suits them. They are constrained to lexicographic data, but for many practical applications this is not a limitation.

When sorting strings using 8- or 7-bit encodings such as ASCII, it is typical to use a radix of 256 or 128, which amounts to sorting character-by-character.

Kirkpatrick-Reisch sorting is a fast sorting algorithm for items with limited- size integer keys. It is notable for having an asymptotic time complexity that is better than radix sort.

It is in 94 of the 128 Tsumura formulas. Other common herbs are Zingiberis Rhizoma (ginger) (51 of 128 formulas) and Paeoniae Radix (Chinese peony root) (44 of 128 formulas).

Cooley, J. W., P. Lewis and P. Welch, "The Fast Fourier Transform and its Applications", IEEE Trans on Education 12, 1, 28–34 (1969) This analysis was erroneous, however: the radix-butterfly is also a DFT and can be performed via an FFT algorithm in O(r log r) operations, hence the radix r actually cancels in the complexity O(r log(r) N/r logrN), and the optimal r is determined by more complicated considerations. In practice, quite large r (32 or 64) are important in order to effectively exploit e.g. the large number of processor registers on modern processors, and even an unbounded radix r= also achieves O(N log N) complexity and has theoretical and practical advantages for large N as mentioned above.

Washington Summit Publishers (WSP) is a white nationalist publisher based in Augusta, Georgia, United States which produces and sells books on race and intelligence and related topics.Washington Summit Publishers Notable authors published by WSP include Kevin B. MacDonald, Richard Lynn, Tatu Vanhanen, and Michael H. Hart. The company is run by white supremacist Richard B. Spencer, who is also director of the National Policy Institute, and publishes Radix Journal through its imprint Radix.About - Radix Journal, Washington Summit Publishers.

Maximilien Radix de Sainte-Foix, born Charles-Pierre-Maximilien Radix de Sainte-Foix (13 June 1736, in Paris – 23 June 1810, in Bourbonne-les-Bains), was a noted French financier and politician. He held the position of Superintendent of Finance for the Comte d'Artois. Later, he headed the secret council of advisers for Louis XVI, while the latter was being detained at the Tuileries Palace. He played a big role in the counter-revolutionary circles of the time.

Computerized radix sorts had previously been dismissed as impractical because of the perceived need for variable allocation of buckets of unknown size. Seward's innovation was to use a linear scan to determine the required bucket sizes and offsets beforehand, allowing for a single static allocation of auxiliary memory. The linear scan is closely related to Seward's other algorithm — counting sort. In the modern era, radix sorts are most commonly applied to collections of binary strings and integers.

This corresponds to rounding down (towards negative infinity), but is not the usual convention for division. It is frequently stated that arithmetic right shifts are equivalent to division by a (positive, integral) power of the radix (e.g., a division by a power of 2 for binary numbers), and hence that division by a power of the radix can be optimized by implementing it as an arithmetic right shift. (A shifter is much simpler than a divider.

Glöer, P. 2002 Die Süßwassergastropoden Nord- und Mitteleuropas. Die Tierwelt Deutschlands, ConchBooks, Hackenheim, 326 pp., , page 213-214. The shell of Radix auricularia has a width to length ratio greater than 0.75.

Ragavendran, N., Ganesh T. Bhat, and Mithra N. Hegde. "Mandibular second molar with 3 mesial canals and a radix paramolaris." Journal of pharmacy & bioallied sciences 6.Suppl 1 (2014): S182Shemesh, Avi, et al.

Radix sorts can be implemented to start at either the most significant digit (MSD) or least significant digit (LSD). For example, with 1234, one could start with 1 (MSD) or 4 (LSD). LSD radix sorts typically use the following sorting order: short keys come before longer keys, and then keys of the same length are sorted lexicographically. This coincides with the normal order of integer representations, like the sequence [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11].

There are many other variations on the Cooley–Tukey algorithm. Mixed-radix implementations handle composite sizes with a variety of (typically small) factors in addition to two, usually (but not always) employing the O(N2) algorithm for the prime base cases of the recursion (it is also possible to employ an N log N algorithm for the prime base cases, such as Rader's or Bluestein's algorithm). Split radix merges radices 2 and 4, exploiting the fact that the first transform of radix 2 requires no twiddle factor, in order to achieve what was long the lowest known arithmetic operation count for power-of-two sizes, although recent variations achieve an even lower count.Lundy, T., and J. Van Buskirk, "A new matrix approach to real FFTs and convolutions of length 2k," Computing 80, 23–45 (2007).

Boyle, David (18 September 2017). " Sorry, Vince, the Centre Needs Big, Radical Ideas Before It Can Rise Again". The Guardian. Material on author's connection to Radix is under the sub-head "Build a platform".

It is toxic in large amounts, and overdose causes such symptoms as diarrhea and "violent vomiting". The powdered root can be sternutatory (sneeze-inducing).Radix Senegae. WHO Monographs on Selected Medicinal Plants - Volume 2.

Codonopsis pilosula () is an important medicinal herb in traditional Chinese medicine.Li, C. Y., et al. (2009). Quality assessment of Radix Codonopsis by quantitative nuclear magnetic resonance. Journal of Chromatography A 1216(11) 2124-29.

The 1980s and 1990s saw a flourish of experimental theatre companies cropping up across Canada, many of whom were exploring site-specific and immersive staging techniques, such as Toronto's DNA Theatre and Vancouver's Radix Theatre.

Donald E. Knuth, The Art of Computer Programming: Volume 3, Sorting and Searching, second edition (Addison-Wesley, 1998). This is related to a radix sort, described for punch-card sorting machines as early as 1929.

Radix received a GAC Early Warning as an entire applicant, where each one of the applicants was flagged by the U.S. Government. This seems to be the only time a portfolio applicant had all of their applications warned. The issue does not deal with the technical capabilities or thematic content of their applications, but rather the inclusion of an email address associated with the US' Federal Bureau of Investigation. It seems that Radix included correspondence with this address as a recommendation with each of their applications.RadixReg. GACweb.ICANN.

18-bit machines use a variety of character encodings. The DEC Radix-50, called Radix 508 format, packs three characters plus two bits in each 18-bit word. The Teletype packs three characters in each 18-bit word; each character a 5-bit Baudot code and an upper-case bit. The DEC SIXBIT format packs three characters in each 18-bit word, each 6-bit character obtained by stripping the high bits from the 7-bit ASCII code, which folds lowercase to uppercase letters.

Seven was founded in September 2007 by ex-Wao World producer Taku Horie. After the bankruptcy of Radix Ace Entertainment in 2006, much of the staff wanted to continue pursuing jobs in the anime business, and after the founding of Seven, many of the Radix employees were enrolled into the company. The studio's first major production was an adult hentai OVA in 2011. In the same year, the studio produced its first televised series, a short- length TV adaptation of Morita-san wa Mukuchi.

Puerarin, one of several known isoflavones, is found in a number of plants and herbs, such as the root of Pueraria (Radix puerariae) notably of the kudzu plant. Puerarin is the 8-C-glucoside of daidzein.

If the quote comes at the end, just append a zero after the radix point. For example, 592' = 592!0, which is negative because 5 is more than 0. And 59.2' = 59.2'0 which is also negative.

Selby was raised on cattle ranches in California and Arizona. He attended Princeton University, UC Berkeley, and the Radix Institute. Selby is currently married to Birgitta Steiner of Waldassen, Bavaria. They have 2 sons, Kibo and Jesse.

Page table entries for IBM PowerPC's hashed page tables have a no-execute page bit. Page table entries for radix- tree page tables in the Power ISA have separate permission bits granting read/write and execute access.

Also developed by Powers as an parallel PRAM algorithm. This is again a combination of radix sort and quicksort but the quicksort left/right partition decision is made on successive bits of the key, and is thus for -bit keys. All comparison sort algorithms impliclty assume the transdichotomous model with in , as if is smaller we can sort in time using a hash table or integer sorting. If but elements are unique within bits, the remaining bits will not be looked at by either quicksort or quick radix sort.

In September 2018, The Atlantic reported that Scott Greer, formerly a deputy editor and contributor at The Daily Caller, had written pieces under a pseudonym "Michael McGregor" in the white supremacist publication Radix Journal from 2014 to 2015. In articles for Radix Journal, Greer expressed white nationalist views, as well as racist anti-black and antisemitic views. While in his emails and messages, he expressed anti-Christian and antisemitic theories, as well his relationship with Richard Spencer. After being confronted with his past white supremacist writings, Greer resigned from any affiliation with The Daily Caller.

Numerous books have also made reference to it. Several television shows have also focused on it. For the tenth anniversary of the performance, Radix Theatre, under the direction of Andrew Laurenson, created the Sniffy the Rat bus tour.

The .site domain reached the milestone of one million domain registrations in February 2019. Radix claims that approximately 70% of these registered domains were by small and medium businesses in fields such as ecommerce and information technology. The .

Cyathula officinalis (English common names: Cyathula root, Radix Cyathula, ox knee, Chinese: chuan niu xi), is a species of Cyathula native to the China (Guizhou, Hebei, Shanxi, Sichuan, Yunnan, Zhejiang) and Nepal. Its IPNI number is 60176-1.

WQCH (1590 AM) is a radio station broadcasting a country music format. It is licensed to Lafayette, Georgia, United States, and serves the Chattanooga area. The station is owned by Radix Broadcasting, Inc. and features programming from AP Radio.

However, alphabetic keys are usually of modest length, because keys must be stored in the hash table. Numeric character strings are usually not a problem; 64 bits can count up to 1019, or 19 decimal digits with radix 10.

Radix sort is a sorting algorithm that works for larger keys than pigeonhole sort or counting sort by performing multiple passes over the data. Each pass sorts the input using only part of the keys, by using a different sorting algorithm (such as pigeonhole sort or counting sort) that is suited only for small keys. To break the keys into parts, the radix sort algorithm computes the positional notation for each key, according to some chosen radix; then, the part of the key used for the th pass of the algorithm is the th digit in the positional notation for the full key, starting from the least significant digit and progressing to the most significant. For this algorithm to work correctly, the sorting algorithm used in each pass over the data must be stable: items with equal digits should not change positions with each other.

Radix peregra, previously known as Lymnaea peregra or Lymnaea pereger, is a species of air-breathing freshwater snail, an aquatic pulmonate gastropod in the family Lymnaeidae, the pond snails. There is more than one named variety or form of this snail.

Conventionally, insertion sort would be used, but other algorithms could be used as well. Using bucketSort itself as nextSort produces a relative of radix sort; in particular, the case n = 2 corresponds to quicksort (although potentially with poor pivot choices).

E. planum is used in European folk medicine as a diuretic, a stimulant, and an appetizer owing to its essential oils, and bioactive compounds, and in this usage it may be known as Eryngii plani herba or Eryngii plani radix.

The standard decimation-in-frequency (DIF) radix-r Cooley–Tukey algorithm corresponds closely to a recursive factorization. For example, radix-2 DIF Cooley–Tukey factors z^N-1 into F_1 = (z^{N/2}-1) and F_2 = (z^{N/2}+1). These modulo operations reduce the degree of x(z) by 2, which corresponds to dividing the problem size by 2. Instead of recursively factorizing F_2 directly, though, Cooley–Tukey instead first computes x2(z ωN), shifting all the roots (by a twiddle factor) so that it can apply the recursive factorization of F_1 to both subproblems.

Multi-key quicksort, also known as three-way radix quicksort, is an algorithm for sorting strings. This hybrid of quicksort and radix sort was originally suggested by P. Shackleton, as reported in one of C.A.R. Hoare's seminal papers on quicksort; its modern incarnation was developed by Jon Bentley and Robert Sedgewick in the mid-1990s. The algorithm is designed to exploit the property that in many problems, strings tend to have shared prefixes. One of the algorithm's uses is the construction of suffix arrays, for which it was one of the fastest algorithms as of 2004.

When is an integer power of 2 having ≥ 4, then the radix trie is an -ary trie, which lessens the depth of the radix trie at the expense of potential sparseness. As an optimization, edge labels can be stored in constant size by using two pointers to a string (for the first and last elements). Note that although the examples in this article show strings as sequences of characters, the type of the string elements can be chosen arbitrarily; for example, as a bit or byte of the string representation when using multibyte character encodings or Unicode.

A Gray code for numbers in a given radix is a sequence that contains each number up to a given limit exactly once, in such a way that each pair of consecutive numbers differs by one in a single digit. The n! permutations of the n numbers from 1 to n may be placed in one-to-one correspondence with the n! numbers from 0 to n! − 1 by pairing each permutation with the sequence of numbers ci that count the number of positions in the permutation that are to the right of value i and that contain a value less than i (that is, the number of inversions for which i is the larger of the two inverted values), and then interpreting these sequences as numbers in the factorial number system, that is, the mixed radix system with radix sequence (1,2,3,4,...). For instance, the permutation (3,1,4,5,2) would give the values c1 = 0, c2 = 0, c3 = 2, c4 = 1, and c5 = 1\.

The generalization to n = bm for an arbitrary integer b > 1 is a base-b digit-reversal permutation, in which the base-b (radix-b) digits of the index of each element are reversed to obtain the permuted index. A further generalization to arbitrary composite sizes is a mixed-radix digit reversal (in which the elements of the sequence are indexed by a number expressed in a mixed radix, whose digits are reversed by the permutation). Permutations that generalize the bit-reversal permutation by reversing contiguous blocks of bits within the binary representations of their indices can be used to interleave two equal-length sequences of data in- place.. There are two extensions of the bit-reversal permutation to sequences of arbitrary length. These extensions coincide with bit-reversal for sequences whose length is a power of 2, and their purpose is to separate adjacent items in a sequence for the efficient operation of the Kaczmarz algorithm.

Retrieved 4 July 2013. His own books were mostly an essay collections of Ancient history, politics and philosophy. Järv was the Editor-in-chief in Swedish culture magazines Horisont, Radix and Fenix and was known as an eminent expert on Franz Kafka.

Hexaplex nigritus, the Northern Radix or Black-and-White Murex or Black Murex, is a species of sea snail, a marine gastropod mollusc in the family Muricidae, the murex snails or rock snails. It is commonly known as the black murex shell.

The genetics of reverse coiling in a rare dextral mutant of another clausiliid, Alinda biplicata (Montagu), has been studied by Degner (1952). The mechanism is the same as in Radix peregra (Müller), with the direction of coiling determined by a simple Mendelian recessive.

LeavesDried Codonopsis pilosula root The roots of C. pilosula are used in traditional Chinese medicine. They are carrot-shaped or cylindrical, sometimes branched, and up to long by wide. They are a constituent of Radix Codonopsis, a mixture used in herbal medicine.

The prime-factor FFT algorithm is one unusual case in which an FFT can be performed without twiddle factors, albeit only for restricted factorizations of the transform size. For example, W82 is a twiddling factor used in 8-point radix-2 FFT.

This small snail lives in freshwater habitats especially small, impoverished water- bodies and drains and marshy or peaty pools. It is also found in floodplain marshes. It seldom occurs in larger water-bodies. Bathyomphalus contortus is tolerant of acidic conditions as is Radix balthica.

He helped develop the International Organization for Standardization (ISO) APL standard, then joined IBM efforts to port Berkeley Software Distribution (BSD) Unix onto IBM platforms. He worked on compilers for the programming language C, floating-point arithmetic standardization, and radix conversion, until retiring in 1992.

Two shells of Radix auricularia The shell is thin, roundly ovate and very inflated, such that the last whorl comprises 90% of its volume.Clarke, A.H. 1981. The freshwater molluscs of Canada. National Museum of Natural Sciences, National Museums of Canada, Ottawa, Canada. 447 pp.

The boiled roots of angelica were applied internally and externally to wounds by the Aleut people in Alaska to speed healing. The herb, also known by the Chinese name, bai zhi, and Latin name, radix angelicae dahurica, is used medicinally in traditional Chinese medicine.

Multiply instructions are multiplied in a pipelined, two-way interleaved array which uses a radix-8 Booth algorithm.Dobberpuhl 1992, p. 38 In stage eight, final addition is performed in parallel with rounding. Floating-point instructions write their results to the FRF in stage ten.

Radix Elementary School was honored by the National Blue Ribbon Schools Program in 2019, one of nine schools in the state recognized as Exemplary High Performing Schools.2019 National Blue Ribbon Schools Exemplary High Performing Schools, National Blue Ribbon Schools Program. Accessed September 26, 2019.

An American flag sort is an efficient, in-place variant of radix sort that distributes items into buckets. Non-comparative sorting algorithms such as radix sort and American flag sort are typically used to sort large objects such as strings, for which comparison is not a unit-time operation. American flag sort iterates through the bits of the objects, considering several bits of each object at a time. For each set of bits, American flag sort makes two passes through the array of objects: first to count the number of objects that will fall in each bin, and second to place each object in its bucket.

Here are nine sticks: I I I I I I I I I Any numeral system defines the value of all numbers that contain more than one digit, most often by addition of the value for adjacent digits. The Hindu–Arabic numeral system includes positional notation to determine the value for any numeral. In this type of system, the increase in value for an additional digit includes one or more multiplications with the radix value and the result is added to the value of an adjacent digit. With Arabic numerals, the radix value of ten produces a value of twenty-one (equal to ) for the numeral "21".

Very few computer languages include built-in support for fixed point values other than with the radix point immediately to the right of the least significant digit (i.e. integer), because for most applications, binary or decimal floating-point representations are usually simpler to use and accurate enough. Floating-point representations are easier to use than fixed-point representations, because they can handle a wider dynamic range and do not require programmers to specify the number of digits after the radix point. However, if they are needed, fixed-point numbers can be implemented even in programming languages like C and C++, which do not commonly include such support.

Charles-Pierre Maximilien Radix de Sainte-Foix was the son of Claude Mathieu Radix and Mary Elizabeth Denis. In 1759, he started his career as a diplomat, having been named attaché at the French embassy in Vienna. In 1764 he was appointed Treasurer of the Navy, a highly lucrative position where many of his contemporaries have made considerable fortunes. Summoned to Versailles in 1776 to perform the duties of Superintendent of Finance for the Comte d'Artois, he apparently had no difficulty in raising the huge for the time amount of 300,000 livres, that was believed to have been the required payoff to obtain this position.

The Comte d'Artois was the youngest of the three sons of Louis, Dauphin of France (son of Louis XV) and Marie Leszczyńska and, unlike his two brothers Louis XVI and the future Louis XVIII, was inclined for the most part to easy and expensive pleasures, while reluctant to engage in reading and reflection. Radix de Sainte-Foix, as an accomplished courtier, catered to his desires. Radix had a long affair with the beautiful and intelligent Mary Frances Henrietta Lachs (de Saint-Albin). She served as his courier in communications between Paris and London. With the help of comte d’Artois, he acquired considerable amounts of real estate in Paris.

Radix auricularia is an introduced species in the United States and New Zealand. In the Mid-Atlantic Region it is found in the Charles River in Massachusetts, Cayuga Lake and the Hudson River in New York State, in various ponds in New Jersey, New York, and Pennsylvania, and in Lake Champlain in Vermont. In the Great Lakes Region: The first record of Radix auricularia in North America is from the Hudson River (which is connected through the New York Canal System to Lakes Erie and Ontario) near Troy, New York, before 1869.Mills, E. L., J. H. Leach, J. T. Carlton and C. L. Secor. 1993.

Typically, general-purpose microprocessors do not implement integer arithmetic operations using saturation arithmetic; instead, they use the easier-to-implement modular arithmetic, in which values exceeding the maximum value "wrap around" to the minimum value, like the hours on a clock passing from 12 to 1. In hardware, modular arithmetic with a minimum of zero and a maximum of rn − 1, where r is the radix can be implemented by simply discarding all but the lowest n digits. For binary hardware, which the vast majority of modern hardware is, the radix is 2, and the digits are bits. However, although more difficult to implement, saturation arithmetic has numerous practical advantages.

Iberogast, also known as STW5, is a liquid formulation of nine herbs. A proprietary blend, it was developed in Germany in 1961 and is available (without prescription) in other countries. Named after the genus (Iberis) of one of its ingredients, it is also claimed to possess anti-inflammatory, antioxidative and free radical-inhibiting properties as well as the ability to reduce gastric acid secretion. Iberogast is a mixture of extracts from bitter candytuft (Iberis amara), angelica root (Angelicae radix), milk thistle fruit (Silybi mariani fructus), celandine herb (Chelidonium majus), caraway fruit (Carvi fructus), liquorice root (Liquiritiae radix), peppermint herb (Menthae piperitae folium), balm leaf (Melissae folium) and chamomile flower (Matricariae flos).

The formal definition of an arithmetic shift, from Federal Standard 1037C is that it is: :A shift, applied to the representation of a number in a fixed radix numeration system and in a fixed-point representation system, and in which only the characters representing the fixed-point part of the number are moved. An arithmetic shift is usually equivalent to multiplying the number by a positive or a negative integral power of the radix, except for the effect of any rounding; compare the logical shift with the arithmetic shift, especially in the case of floating-point representation. An important word in the FS 1073C definition is "usually".

"Squoze" is a facetious past participle of the verb 'to squeeze'. The name SQUOZE was later borrowed for similar schemes used on DEC machines; they had a 40-character alphabet (50 in octal) and were called DEC RADIX 50 and MOD40, but sometimes nicknamed DEC Squoze.

Retrieved 26 January 2019. Writing in The Guardian, Radix policy director David Boyle called for "big, radical ideas" that could break with both trickle-down conservatism and backward-looking socialism.Boyle, David (18 September 2017). "Sorry, Vince, the Centre Needs Big, Radical Ideas Before It Can Rise Again".

The animal is slow and deliberate in its movements. For a detailed description of Radix auricularia, including the radula and reproductive organs, see pages 179–183 in Baker F. C. The Lymnaeidae of North and Middle America, recent and fossil (1911). The Chicago Academy of Sciences.

Centromerus cornupalpis is a species of sheetweb spider in the family Linyphiidae. It is found in the USA and Canada. This species exhibits sexual dimorphism. Males are identifiable by the shape of the cymbium, radix, and possession of a long proximo-dorsal horn on the paracymbium.

Arithmetic left shifts are equivalent to multiplication by a (positive, integral) power of the radix (e.g., a multiplication by a power of 2 for binary numbers). Logical left shifts are also equivalent, except multiplication and arithmetic shifts may trigger arithmetic overflow whereas logical shifts do not.

The basic need for a binary-to-text encoding comes from a need to communicate arbitrary binary data over preexisting communications protocols that were designed to carry only English language human-readable text. Those communication protocols may only be 7-bit safe (and within that avoid certain ASCII control codes), and may require line breaks at certain maximum intervals, and may not maintain whitespace. Thus, only the 95 printable ASCII characters are "safe" to use to convey data. Four bytes can represent 232 = 4,294,967,296 possible values. Five radix-85 digits provide 855 = 4,437,053,125 possible values, enough to provide for a unique representation for each possible 32-bit value. Because five radix-84 digits only provide 845 = 4,182,119,424 representable values, 85 is the minimum possible integral base that will represent four bytes in five characters, hence its choice. When encoding, each group of 4 bytes is taken as a 32-bit binary number, most significant byte first (Ascii85 uses a big-endian convention). This is converted, by repeatedly dividing by 85 and taking the remainder, into 5 radix-85 digits.

This algorithm is based on radix sorting and has the following steps. # Generate the set of all l-mers in each input string. Let Ci correspond to the l-mers of si, for 1≤i≤n. # For each l-mer u in Ci (1 < i < n), generate Bd(u).

TOBACCO predicted fallout, surface radiological exclusion (radix) area, ship positions, and aircraft participation. TOBACCO was detonated at 1415 on May 30, 1958. TOBACCO was detonated on a barge northwest of Enjebi, and produced an 11.6 kt yield range. The detonation produced an cloud that stabilized at by 1430.

Compound unit arithmetic is the application of arithmetic operations to mixed radix quantities such as feet and inches; gallons and pints; pounds, shillings and pence; and so on. Before decimal-based systems of money and units of measure, compound unit arithmetic was widely used in commerce and industry.

A cancelled anime television series known as was originally announced in 2005. The series was slated to be 26-episodes and scheduled to release in summer 2006. The TV series was officially unveiled at 2008 Tokyo International Anime Fair and was being produced by Radix Mobanimation anime studio.

In arithmetic, a complex-base system is a positional numeral system whose radix is an imaginary (proposed by Donald Knuth in 1955) or complex number (proposed by S. Khmelnik in 1964 and Walter F. Penney in 1965W. Penney, A "binary" system for complex numbers, JACM 12 (1965) 247-248.).

The vector-radix FFT algorithm, is a multidimensional fast Fourier transform (FFT) algorithm, which is a generalization of the ordinary Cooley–Tukey FFT algorithm that divides the transform dimensions by arbitrary radices. It breaks a multidimensional (MD) discrete Fourier transform (DFT) down into successively smaller MD DFTs until, ultimately, only trivial MD DFTs need to be evaluated. The most common multidimensional FFT algorithm is the row-column algorithm, which means transforming the array first in one index and then in the other, see more in FFT. Then a radix-2 direct 2-D FFT has been developed, and it can eliminate 25% of the multiplies as compared to the conventional row-column approach.

Marie Geneviève Radix de Sainte-Foy (1729–1809), was a French noble, mistress to Louis XV of France as well as to Louis, Dauphin of France (son of Louis XV) in 1750–51. She was the daughter of Claude Mathieu Radix, seigneur de Chevillon and Marie Elizabeth Geneviève Denis. She married in 1750 to Jean François Boudrey (1701–1760), and in 1761 to Nicolas Augustin de Malbec de Montjoc, marquis de Briges. According to the traditional description of the event, she received an invitation to an assignation from both the king and the dauphin as the same occasion; she showed her husband the invitation, and it was decided that she should accept the invitation of the king.

Therefore, the complexity is generally expressed by using big O notation. For example, the usual algorithm for integer multiplication has a complexity of O(n^2), this means that there is a constant c_u such that the multiplication of two integers of at most digits may be done in a time less than c_un^2. This bound is sharp in the sense that the worst-case complexity and the average-case complexity are \Omega(n^2), which means that there is a constant c_l such that these complexities are larger than c_ln^2. The radix does not appear in these complexity, as changing of radix changes only the constants c_u and c_l.

It is sometimes convenient to consider positional numeral systems where the weights associated with the positions do not form a geometric sequence 1, b, b2, b3, etc., starting from the least significant position, as given in the polynomial form. In a mixed-radix system such as the factorial number system, the weights form a sequence where each weight is an integral multiple of the previous one, and the number of permitted digit values varies accordingly from position to position. For calendrical use, the Mayan numeral system was a mixed-radix system, since one of its positions represents a multiplication by 18 rather than 20, in order to fit a 360-day calendar.

In the context of fast Fourier transform algorithms, a butterfly is a portion of the computation that combines the results of smaller discrete Fourier transforms (DFTs) into a larger DFT, or vice versa (breaking a larger DFT up into subtransforms). The name "butterfly" comes from the shape of the data-flow diagram in the radix-2 case, as described below. The same structure can also be found in the Viterbi algorithm, used for finding the most likely sequence of hidden states. The butterfly diagram show a data-flow diagram connecting the inputs x (left) to the outputs y that depend on them (right) for a "butterfly" step of a radix-2 Cooley–Tukey FFT algorithm.

Signal-flow graph connecting the inputs x (left) to the outputs y that depend on them (right) for a "butterfly" step of a radix-2 Cooley–Tukey FFT. This diagram resembles a butterfly (as in the morpho butterfly shown for comparison), hence the name, although in some countries it is also called the hourglass diagram. In the context of fast Fourier transform algorithms, a butterfly is a portion of the computation that combines the results of smaller discrete Fourier transforms (DFTs) into a larger DFT, or vice versa (breaking a larger DFT up into subtransforms). The name "butterfly" comes from the shape of the data-flow diagram in the radix-2 case, as described below.

On most processors, shift instructions will execute faster than division instructions.) Large number of 1960s and 1970s programming handbooks, manuals, and other specifications from companies and institutions such as DEC, IBM, Data General, and ANSI make such incorrect statements . Logical right shifts are equivalent to division by a power of the radix (usually 2) only for positive or unsigned numbers. Arithmetic right shifts are equivalent to logical right shifts for positive signed numbers. Arithmetic right shifts for negative numbers in N−1's complement (usually two's complement) is roughly equivalent to division by a power of the radix (usually 2), where for odd numbers rounding downwards is applied (not towards 0 as usually expected).

P.E. Bates Bothman (1837) The common school arithmetic. Henry Benton. p. 31 When the result of an addition exceeds the value of a digit, the procedure is to "carry" the excess amount divided by the radix (that is, 10/10) to the left, adding it to the next positional value.

Formerly, two subspecies of the plains garter snake were widely recognized, but most authorities have since dropped recognition of them. The first, T. r. radix, was commonly referred to as the eastern plains garter snake, while T. r. haydeni (Kennicott, 1860) was commonly referred to as the western plains garter snake.

Shells of Hexaplex radix can reach a size of . These large, massive, heavy shells are globose or pear-shaped and very spiny, with a white surface and blackish-brown foliations and spiral elements. The body whorls have six to eleven varices. The aperture is large, broad, ovate and porcelaneous white.

16 and was collected in five volumes. The anime series, directed by Hiroshi Negishi, was animated at Radix Ace Entertainment and aired from April 3, 2006 to March 26, 2007 for 51 episodes. Viz Media published it in English in the United States as BakéGyamon: Backwards Game."BakéGyamon." Viz Media.

The Intel BCD opcodes are a set of x86 instructions that operate with binary coded decimal numbers. The radix used for the representation of numbers in the x86 processors is 2. This is called a binary numeral system. However, the x86 processors do have limited support for the decimal numeral system.

The Friden EC-130 calculator had no adder logic as such. Its logic was highly serial, doing arithmetic by counting. Internally, decimal digits were radix-1 — for instance, a six was represented by six consecutive pulses within the time slot allocated for that digit. Each time slot carried one digit, least significant first.

Skullcaps are common herbal remedies in systems of traditional medicine. In traditional Chinese medicine they are utilized to "clear away the heat-evil and expel superficial evils". Scutellaria baicalensis in particular is a common component of many preparations. Its root, known as Radix Scutellariae, is the source of the Chinese medicine Huang Qin.

Predicted fallout, surface radiological exclusion (radix) area, ship positions, and aircraft participation. MAGNOLIA was detonated at 0600 on May 27, 1958. MAGONLIA was detonated on a barge southwest of the center of Runit, and produced a 57 kt yield range. The detonation produced a cloud that stabilized at with its base at .

Someone in the Atari hacker community modified DOS 2.0 to add a few features and allow the use of dual density disk drives, with the "look and feel" of DOS 2.0. One new feature added was "RADIX", which one could use to translate hexadecimal numbers to base 10 or base 10 to hex.

From north to south these are: Kernaham/Cascadou, Ortoire, St. Joseph, Beau Sejour, Plaisance, Pierreville, Beaumont, St. Ann's, Radix, Ste. Marguerite, Lagon Doux, Grand Lagoon and Lagon Palmiste. Beyond that are several small villages and then the town of Guayaguayare. Mayaro falls under the jurisdiction of the Rio Claro–Mayaro Regional Corporation.

Just before the World War I began, Kavli began to produce more of the goods themselves, both canned and cheeses. In 1920, Radix introduced Primula, a mild cheese with great durability (smelteost) . Today, the company sells produce in 30 countries from plants located in Norway, Sweden, Denmark, Finland, England and Scotland.Olav (eg.

A more sophisticated technique with a similar flavor and with better theoretical performance was developed by . They observed that each pass of radix sort can be interpreted as a range reduction technique that, in linear time, reduces the maximum key size by a factor of ; instead, their technique reduces the key size to the square root of its previous value (halving the number of bits needed to represent a key), again in linear time. As in radix sort, they interpret the keys as two-digit base- numbers for a base that is approximately . They then group the items to be sorted into buckets according to their high digits, in linear time, using either a large but uninitialized direct addressed memory or a hash table.

The sort operation transforms an unordered set of elements into an ordered set of elements. The most common implementation on GPUs is using radix sort for integer and floating point data and coarse- grained merge sort and fine-grained sorting networks for general comparable data.Merrill, Duane. Allocation-oriented Algorithm Design with Application to GPU Computing.

In TCM, Dioscorea Root (Radix Dioscorea, Huai Shan Yao or Shan Yao in Chinese), benefits both the Yin and Yang, and is used to tonify the lungs, spleen and kidney. It can "be used in large amounts and 30g is suggested when treating diabetes". If taken habitually, it "brightens the intellect and prolongs life".

The word "radical" derives from the Latin word "radix" ("root"). Thus, radical criticism means criticism that goes to the root of things, to the roots of the problem. Revolutionary criticism is criticism that aims to overturn or overthrow an existing idea or state of affairs. Thus, an existing idea may be turned upside down.

Radix trees support insertion, deletion, and searching operations. Insertion adds a new string to the trie while trying to minimize the amount of data stored. Deletion removes a string from the trie. Searching operations include (but are not necessarily limited to) exact lookup, find predecessor, find successor, and find all strings with a prefix.

The root of B. chinense, known as Radix Bupleuri, is used in traditional Chinese medicine. Its proposed use is to strengthen the liver. There is no good evidence that Chinese herbal medicines, including those derived from B. chinense, are of any benefit in treating fatty liver disease, and the safety of these drugs is unknown.

John Selby (born 1945) is an American psychologist and author."John Selby" completed his graduate studies at Berkeley's Graduate Theological Union, The San Francisco Theological Seminary, and The Radix Institute. Other professional titles include executive counselor, videographer, and meditation innovator. He is the author of over two dozen self-help, spiritual-growth, business-success.

The new IEEE 754 (formally IEEE Std 754-2008, the IEEE Standard for Floating-Point Arithmetic) was published by the IEEE Computer Society on 29 August 2008, and is available from the IEEE Xplore website This standard replaces IEEE 754-1985. IEEE 854, the Radix-Independent floating- point standard was withdrawn in December 2008.

The 14th edition of the Japanese Pharmacopoeia (JP) (日本薬局方 Nihon yakkyokuhō) lists 165 herbal ingredients that are used in kampo medicines. Tsumura (ツムラ) is the leading maker of kampo medicine . They make 128 of the 148 kampo medicines. The most common herb in kampo medicine is Glycyrrhizae Radix (Chinese liquorice root).

The computation may be simplified if there is independence between variables of the multidimensional signal. In general, fast Fourier transforms (FFTs), reduce the number of computations by a substantial factor. While there are a number of different implementations of this algorithm for m-D signals, two often used variations are the vector-radix FFT and the row-column FFT.

Harold H. Seward (July 24, 1930 – June 19, 2012) was a computer scientist, engineer, and inventor. Seward developed the radix sort and counting sort algorithms in 1954 at MIT.Enhanced Generic Key-Address Mapping Sort Algorithm He also worked on the Whirlwind Computer and developed instruments that powered the guidance systems for the Apollo spacecraft and Polaris missile.

In TCM, Trichosanthis Root (Radix Trichosanthis or Tian Hua Fen in Chinese), is used to clear heat, generate fluids when heat injures fluids causing thirst, in the wasting and thirsting syndrome. The pairing of Tian Hua Fen and Zhi Mu had a faster, stronger and longer effect in reducing blood sugar levels than either herb alone.

In 2011 Spencer became the head of the white nationalist National Policy Institute and launched the Radix Journal to promote his views; in 2012, he stepped down from the AlternativeRight website and took it offline in December 2013. By that year, Spencer was expressing ambivalence about the "alternative right" label; he preferred to be called an "identitarian".

The great plains toad feeds a range of insects such as lepidopterans, dipterans, hymenopterans, coleopterans, ants, and termites. The toad is preyed upon by the plains garter snake (Thamnophis radix), among others. It uses chemoreceptors to sense chemical cues left by the snake. The great plains toad occur in deserts, grasslands, semi-desert shrublands, open floodplains, and agricultural areas.

YELLOWWOOD predicted fallout, surface radiological (radix) exclusion area, and ship positions. YELLOWWOOD was detonated at 1400 on May 26, 1958. YELLOWWOOD was detonated on a barge southwest of Enjebi, and produced a 330 kt yield range. The DOD sponsored 13 experiments for YELLOWWOOD: Projects 2.4, 2.8, 3.7, 5.1, 5.2, 5.3, 6.4, 6.5, 6.6, 6.8, 6.9, 6.11, and 8.1.

However, MSD sorts are more amenable to subdivision and recursion. Each bucket created by an MSD step can itself be radix sorted using the next most significant digit, without reference to any other buckets created in the previous step. Once the last digit is reached, concatenating the buckets is all that is required to complete the sort.

Correa et al. (2010) indicate that genera in Lymnaeidae do not reflect phylogenetic relationships, to the notable exception of Radix (including Radix natalensis). The type species of Lymnaea is Lymnaea stagnalis Linnaeus, 1758; the type species of Stagnicola Jeffreys, 1830 is Stagnicola palustris (= Lymnaea palustris); and the type species of Omphiscola Rafinesque, 1819 is Omphiscola glabra. However, it is clear that these three species belong to the same clade (C2) and that Lymnaea is not a monophyletic group. Correa et al. (2010) proposed that species of clade C2 should all be called Lymnaea, according to the principle of priority of the International Code of Zoological Nomenclature (ICZN). By extension, Stagnicola should not be used to name species in clade C1a since the type species belongs to clade C2.

Merge sort was one of the first sorting algorithms where optimal speed up was achieved, with Richard Cole using a clever subsampling algorithm to ensure O(1) merge. Other sophisticated parallel sorting algorithms can achieve the same or better time bounds with a lower constant. For example, in 1991 David Powers described a parallelized quicksort (and a related radix sort) that can operate in O(log n) time on a CRCW parallel random-access machine (PRAM) with n processors by performing partitioning implicitly. Powers further shows that a pipelined version of Batcher's Bitonic Mergesort at O((log n)2) time on a butterfly sorting network is in practice actually faster than his O(log n) sorts on a PRAM, and he provides detailed discussion of the hidden overheads in comparison, radix and parallel sorting.

Also, while the permutation is a bit reversal in the radix-2 case, it is more generally an arbitrary (mixed-base) digit reversal for the mixed- radix case, and the permutation algorithms become more complicated to implement. Moreover, it is desirable on many hardware architectures to re- order intermediate stages of the FFT algorithm so that they operate on consecutive (or at least more localized) data elements. To these ends, a number of alternative implementation schemes have been devised for the Cooley–Tukey algorithm that do not require separate bit reversal and/or involve additional permutations at intermediate stages. The problem is greatly simplified if it is out-of-place: the output array is distinct from the input array or, equivalently, an equal-size auxiliary array is available.

Bishop and co-founders Kenrick Radix and Jacqueline Creft were interested in steering MAP toward construction of popular institutions centered in villages, to facilitate broad participation in the country's affairs. In January 1973 MAP merged with the Joint Endeavor for Welfare, Education, and Liberation (JEWEL) to form the New Jewel Movement (NJM). Bishop shared the leadership as Joint Coordinating Secretary with Unison Whiteman.

We can start at any level in the virtual hierarchy, not just at the root. Starting lower in the hierarchy requires more hashes, but may improve load distribution in the case of failures. Also, the virtual hierarchy need not be stored, but can be created on demand, since the virtual nodes names are simply prefixes of base-f (or mixed-radix) representations.

Seven of these snails are endemic, as well as Pisidium maasseni. Radix snail species in both Ohrid and Lake Prespas are related, and there are endemic species within springs near the Monastery of Saint Naum that are unrelated to the species in the lakes. Lake Dojran has 17 rotifers. It is expected that mountainous areas will also contain a number of endemic species.

Radix trees are useful for constructing associative arrays with keys that can be expressed as strings. They find particular application in the area of IP routing, where the ability to contain large ranges of values with a few exceptions is particularly suited to the hierarchical organization of IP addresses.Knizhnik, Konstantin. "Patricia Tries: A Better Index For Prefix Searches", Dr. Dobb's Journal, June, 2008.

Many herbs earn their names from their unique physical appearance. Examples of such names include Niu Xi (Radix cyathulae seu achyranthis), "cow's knees," which has big joints that might look like cow knees; Bai Mu Er (Fructificatio tremellae fuciformis), white wood ear,' which is white and resembles an ear; Gou Ji (Rhizoma cibotii), 'dog spine,' which resembles the spine of a dog.

Its name is derived from Greek ὑπό (under) and χοῖρος (young pig). Thus the name should be spelled Hypochoeris. The adjective radicata means with conspicuous roots in Latin (derived from radix, root). In English, Catsear is derived from the words cat's ear, and refers to the shape and fine hair on the leaves resembling that of the ear of a cat.

Steve Scott (born 1951) is a poet, spoken word artist, and musician. His written work was published by PRIZM Magazine, Radix Magazine, Monolith:UK publications and STRIDE UK publications. His music was released on labels such as Exit Records (A&M; Records) and Blonde Vinyl. Among other artists, he has worked with the 77s, Love Coma, Randy Stonehill, Steven Soles and Charlie Peacock.

Chemical constituents of the roots (Radix Astragali) include polysaccharides and triterpenoids (such as astragalosides), as well as isoflavones (including kumatakenin, calycosin, and formononetin) and their glycosides and malonates. An extract of A. propinquus called TA-65 may activate telomerase, extending the lengths of the shortest telomeres which protect the terminal DNA at the ends of all chromosomes. It contains the saponin cycloastragenol.

It is a kind and quiet animal, and likes to eat fruits. > It lives in forests and can jump over a distance of several dozen chi. But > when it falls and drops onto the ground, it may suffer from excessive > diarrhea and then die. Treatment is the drinking of juice of Fuzi/radix > aconiti lateralis/daughter root of common monkshood.

This algorithm is a combination of radix sort and quicksort. Pick an element from the array (the pivot) and consider the first character (key) of the string (multikey). Partition the remaining elements into three sets: those whose corresponding character is less than, equal to, and greater than the pivot's character. Recursively sort the "less than" and "greater than" partitions on the same character.

Anselmo was born on May 2, 1962. His father was a district court judge in Duluth, Minnesota. He grew up in Orono, MN and graduated from Orono High School before attending Whittier College, Boston University, and the University of Minnesota. At age 21, Dario co-founded a technology company that dealt with the emerging market for personal computers called Radix, Inc.

With a single spell, Memnarch seizes the avatar and turns it on Glissa and her companions. Kaldra's avatar relentlessly pursues Glissa into the Tangle, destroying everything in its way. Finally, at the Radix, Glissa's destiny becomes clear. As rage and despair overcome her, Glissa's body calls forth a great column of green mana from Mirrodin's core, annihilating the avatar in the process.

Associative arrays may also be stored in unbalanced binary search trees or in data structures specialized to a particular type of keys such as radix trees, tries, Judy arrays, or van Emde Boas trees, though the ability of these implementation methods within comparison to hash tables varies; for instance, Judy trees remain indicated to perform with a smaller quantity of efficiency than hash tables, while carefully selected hash tables generally perform with increased efficiency in comparison to adaptive radix trees, with potentially greater restrictions on the types of data that they can handle. The advantages of these alternative structures come from their ability to handle operations beyond the basic ones of an associative array, such as finding the mapping whose key is the closest to a queried key, when the query is not itself present in the set of mappings.

In the most general case, the input to counting sort consists of a collection of items, each of which has a non-negative integer key whose maximum value is at most . In some descriptions of counting sort, the input to be sorted is assumed to be more simply a sequence of integers itself, but this simplification does not accommodate many applications of counting sort. For instance, when used as a subroutine in radix sort, the keys for each call to counting sort are individual digits of larger item keys; it would not suffice to return only a sorted list of the key digits, separated from the items. In applications such as in radix sort, a bound on the maximum key value will be known in advance, and can be assumed to be part of the input to the algorithm.

Catechin-7-O-glucoside can be found in Paeoniae Radix, the crude drug made from roots of the Chinese peony (Paeonia lactiflora),New Monoterpene Glycoside Esters and Phenolic Constituents of Paeoniae Radix, and Increase of Water Solubility of Proanthocyanidins in the Presence of Paeoniflorin. Takashi Tanaka, Maki Kataoka, Nagisa Tsuboi and Isao Kouno, Chem. Pharm. Bull., 2000, 48(2), pages 201—207 in the red knotweed (Bistorta macrophylla, also known as Polygonum macrophyllum), in the stem barks of the Nepali hog plum (Choerospondias axillaris),Flavanoidal constituents of Choerospondias axillaries and their in vitro antitumor and anti-hypoxia activities. Li Chang-wei, Cui Cheng-bin, Cai Bing, Han Bing, Li Ming-ming and Fan Ming, Chinese Journal of Medicinal Chemistry, 2009, 19 (1), pages 48-51,64 (abstract ) in the Korean plum yew (Cephalotaxus koreana) and in Huanarpo Macho (Jatropha macrantha).

In a positional numeral system, the radix or base is the number of unique digits, including the digit zero, used to represent numbers. For example, for the decimal/denary system (the most common system in use today) the radix (base number) is ten, because it uses the ten digits from 0 through 9. In any standard positional numeral system, a number is conventionally written as with x as the string of digits and y as its base, although for base ten the subscript is usually assumed (and omitted, together with the pair of parentheses), as it is the most common way to express value. For example, (100)10 is equivalent to 100 (the decimal system is implied in the latter) and represents the number one hundred, while (100)2 (in the binary system with base 2) represents the number four.

The computational complexity estimates involve the number of subarrays and the proximity mapping function, the "map key," used. It is a form of bucket and radix sort. Once a ProxmapSort is complete, ProxmapSearch can be used to find keys in the sorted array in O(1) time if the keys were well distributed during the sort. Both algorithms were invented in the late 1980s by Prof.

The herb known as Paeonia, in particular the root of P. lactiflora (Bai Shao, Radix Paeoniae Lactiflorae), has been used frequently in traditional medicines of Korea, China and Japan. In Japan, Paeonia lactiflora used to be called ebisugusuri ("foreign medicine"). Pronunciation of 牡丹 (peony) in Japan is "botan." In kampo (the Japanese adaptation of Chinese medicine), its root was used as a treatment for convulsions.

The base b may also be indicated by the phrase "base-b". So binary numbers are "base-2"; octal numbers are "base-8"; decimal numbers are "base-10"; and so on. To a given radix b the set of digits {0, 1, ..., b−2, b−1} is called the standard set of digits. Thus, binary numbers have digits {0, 1}; decimal numbers have digits and so on.

For a positive normalised number it can be represented as m0.m1m2m3...mp−2mp−1 (where m represents a significant digit, and p is the precision) with non-zero m0. Notice that for a binary radix, the leading binary digit is always 1. In a denormal number, since the exponent is the least that it can be, zero is the leading significant digit (0.

An additional multiplication with the radix value occurs for each additional digit, so the numeral "201" represents a value of two-hundred- and-one (equal to ). The elementary level of study typically includes understanding the value of individual whole numbers using Arabic numerals with a maximum of seven digits, and performing the four basic operations using Arabic numerals with a maximum of four digits each.

Talalay (2016), p. 103. Another design, the RADIX drill, produces a very narrow hole (20 mm) and is intended for rapid drilling access holes; it uses a small hydraulic motor on a narrow hose. It was tested in 2015 but found to have difficulty with cuttings transport, probably because of the very narrow space available between the hose and the borehole wall.Talalay (2016), pp. 104–105.

If the number is imagined to be represented by a combination lock or a tally counter, in which each wheel has b digit faces, from 0, 1, ..., b-1 and having \lfloor \log_b (N) +1 \rfloor wheels, then the radix economy b \lfloor \log_b (N) +1 \rfloor is the total number of digit faces needed to inclusively represent any integer from 0 to N.

A radix heap is a data structure for realizing the operations of a monotone priority queue. A set of elements to which a key is assigned can then be managed. The run time of the operations depends on the difference between the largest and smallest key or constant. The data structure consists mainly of a series of buckets, the size of which increases exponentially.

A. thesis: Dallas Theological Seminary, 1980). In 1974 three CWLF members founded a subsidiary countercult ministry, Spiritual Counterfeits Project (SCP).“Spiritual Counterfeits Project,” undated flyer.“David Fetcho’s Story: Last Meditation/Lotus Adept,” Radix 9:5, March 1, 1978:6. In early 1975 Sparks asked a young CWLF staff member, Alan Wallerstedt, to prepare a manuscript critiquing the teaching and practices of the local churches.

The natural numbers are generally written in the way one usually expects to see them, but they can also be written using an explicit quote, an explicit radix point, or redundant zeros on either end. For example, the integer two can be written as 2 or 2. or 0'2 or 0'2. or even 000'02.000, and the integer zero can be written as 0 or 0' or 0.

In computer science, Base64 is a group of binary-to-text encoding schemes that represent binary data (more specifically a sequence of 8-bit bytes) in an ASCII string format by translating it into a radix-64 representation. The term Base64 originates from a specific MIME content transfer encoding. Each non- final Base64 digit represents exactly 6 bits of data. Three 8-bit bytes (i.e.

Las Vegas Nevada. 2002. It combines concepts from distribution- based sorts, such as radix sort and bucket sort, with partitioning concepts from comparison sorts such as quicksort and mergesort. In experimental results it was shown to be highly efficient, often outperforming traditional algorithms such as quicksort, particularly on distributions exhibiting structure and string sorting. There is an open-source implementation with performance analysis and benchmarks, and HTML documentation .

This is correct since the next position has a weight that is higher by a factor equal to the radix. Carrying works the same way in binary: 0 1 1 0 1 \+ 1 0 1 1 1 ————————————— 1 0 0 1 0 0 = 36 In this example, two numerals are being added together: 011012 (1310) and 101112 (2310). The top row shows the carry bits used. Starting in the rightmost column, .

The eggs of E. hortense are passed in the feces of the definitive host. Eggs that have reached water will mature within 6~15 days. Once hatched, the short-lived miracidia seek out and infect freshwater snails such as Lynnaea pervia and Radix auricularia coreana. Inside the snail, mother sporocysts develop from the germinal cells of the miracidia and usually migrate to a site such as the heart.

Base36 is a binary-to-text encoding scheme that represents binary data in an ASCII string format by translating it into a radix-36 representation. The choice of 36 is convenient in that the digits can be represented using the Arabic numerals 0–9 and the Latin letters A–Z (the ISO basic Latin alphabet). Each base36 digit needs less than 6 bits of information to be represented.

Some endangered species include Cycas balansae, Radix marindae officinalis, Ardisia sylvestris Pitard, Smilax glabra, leopard cat (Prionailurus bengalensis), Indian muntjac (Muntiacus muntjak), small Indian civet (Viverricula indica), large Indian civet (Viverra zibetha). The limestone forest area is forest growing in poor soil with particles of limestone on rocky islands. Some rare animals found there include serow, rhesus macaque. The littoral ecosystem in the park is small areas surrounding the islands.

The Dyson Root Cyclone technology is used in all Dyson vacuum cleaners from DC07 onward. The DC17, DC22, and DC23 use the improved "Root Cyclone & Core Separator", also called "Radix Cyclone", "Intermediary Cyclone", or "Level 3 Root Cyclone Technology". Most of the current range use "2 Tier Radial cyclones", consisting of two cascaded levels of cyclonic separators to remove dirt and dust without requiring a bag or filter.

Thamnophis radix The plains garter snake has either an orange or yellow stripe down its back and distinctive black bars on its lip. The stripe normally starts at the head and continues all the way to the tail tip. Lateral stripes are located on the third and fourth scale rows and are normally a greenish-yellow color. Its belly is gray-green with small dark spots along the edges.

The excessive transformation to fibrotic tissue negatively affects the function and structure of the heart. Additionally, excessive amounts of collagen in the ventricles lead to alterations in gene expression, deposition of extracellular matrix, wall thickening, and ventricular remodeling in a manner that promotes dysfunction.Huang, X, Chen, X. (2012) Effect of oxymatrine, the active component from Radix Sophorae flavescentis (Kushen), on ventricular remodeling in spontaneously hypertensive rats. Phytomedicine 20: 202-212.

Adding BCD numbers using these opcodes is a complex task, and requires many instructions to add even modest numbers. It can also require a large amount of memory. If only doing integer calculations, then all integer calculations are exact, so the radix of the number representation is not important for accuracy. On an x86 processor, calculations with binary numbers are usually a lot faster than the same calculations with BCD numbers.

More generally, let q be a positive integer, and let G be the complete bipartite graph Kq,qq. Let the available colors be represented by the q2 different two-digit numbers in radix q. On one side of the bipartition, let the q vertices be given sets of colors } in which the first digits are equal to each other, for each of the q possible choices of the first digit i.

He was accused in 1780 by Jacques Necker of embezzling five million livres entrusted to him by the Comte d'Artois, but his arrest was not ordered until September 6, 1782. Having been alerted about it, he escaped to London with Miss de Saint-Albin. At the very time - just after the fall of Bastille - when the comte d’Artois was escaping from France, Radix de Sainte-Foix arrived from London to Paris.

However, it fares no better in the localization of prime numbers (the smallest better base being the primorial base six, senary). Quaternary shares with all fixed-radix numeral systems many properties, such as the ability to represent any real number with a canonical representation (almost unique) and the characteristics of the representations of rational numbers and irrational numbers. See decimal and binary for a discussion of these properties.

The symbol √ is called the radical sign or radix. For example, the principal square root of 9 is 3, which is denoted by = 3, because and 3 is nonnegative. However raising x to the power of 0.5 using the key works if the number is entered as a real number with a complex part equal to zero. Inverse and hyperbolic trigonometry functions cannot be used with complex numbers.

In quote notation, each rational number has a unique (up to normalization) finite representation as a sequence of digits with a radix point and a quote somewhere in the sequence. The quote means that the digits to its left are repeated infinitely to the left. For examples, :12'34.56 = ...12121234.56 :12.34'56 = ...1234123412.3456 :123!45 = ...123123123.45 An exclamation mark is used when the quote and point are in the same place.

The first standard for floating-point arithmetic, IEEE 754-1985, was published in 1985. It covered only binary floating-point arithmetic. A new version, IEEE 754-2008, was published in August 2008, following a seven-year revision process, chaired by Dan Zuras and edited by Mike Cowlishaw. It replaced both IEEE 754-1985 (binary floating- point arithmetic) and IEEE 854-1987 Standard for Radix-Independent Floating- Point Arithmetic.

Workflow Resource Planning (WRP) was a new term created by Charles Lim Chee Pang (the founder of Peliontech) in 2003. It was a new class of Enterprise Resource Planning (ERP) software. Conventional ERP software works in a data entry and processing model. Lim changed that when he introduced the first WRP software that incorporates workflow functionality into its core design and released this new ERP called Radix ERP.

As a result of this increased factorability of the radix and its divisibility by a wide range of the most elemental numbers (whereas ten has only two non-trivial factors: 2 and 5, and not 3, 4, or 6), duodecimal representations fit more easily than decimal ones into many common patterns, as evidenced by the higher regularity observable in the duodecimal multiplication table. As a result, duodecimal has been described as the optimal number system. Of its factors, 2 and 3 are prime, which means the reciprocals of all 3-smooth numbers (such as 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, ...) have a terminating representation in duodecimal. In particular, the five most elementary fractions (, , , and ) all have a short terminating representation in duodecimal (0.6, 0.4, 0.8, 0.3 and 0.9, respectively), and twelve is the smallest radix with this feature (because it is the least common multiple of 3 and 4).

Commonly in secondary schools' mathematics education, the real numbers are constructed by defining a number using an integer followed by a radix point and an infinite sequence written out as a string to represent the fractional part of any given real number. In this construction, the set of any combination of an integer and digits after the decimal point (or radix point in non-base 10 systems) is the set of real numbers. This construction can be rigorously shown to satisfy all of the real axioms after defining an equivalence relation over the set that defines 1 =eq 0.999... as well as for any other nonzero decimals with only finitely many nonzero terms in the decimal string with its trailing 9s version. With this construction of the reals, all proofs of the statement "1 = 0.999..." can be viewed as implicitly assuming the equality when any operations are performed on the real numbers.

Further OVA series based around the characters of Is Paris Burning? and So Long, My Love (École de Paris; Le Nouveau Paris; Sumire; New York, New York) were released from 2003 to 2007. The OVAs were produced by Radix Ace Entertainment until New York, New York in 2007, when production shifted by Anime International Company. An anime television series based on the first game was co-produced by Red Company, Madhouse and Studio Matrix.

Thunder god vine is used in TCM to treat arthritis, relieve pain and reduce joint swelling.Lei Gong Teng (Radix Tripterygii Wilfordii): A Blessing or a Time Bomb?, John Chen, PhD, PharmD, OMD, Lac, It can be extremely toxic, if not processed properly. If used inappropriately, within two to three hours after ingestion, a patient may begin to have diarrhea, headache, dizziness, severe vomiting (sometimes with blood), chills, high fever, and irregular heart beat.

Sexagesimal Place Value System, Nissen (1993) pages 142–143. This sexagesimal number system was fully developed at the beginning of the Old Babylonian period (about 1950 BC) and became standard in Babylonia. Sexagesimal numerals were a mixed radix system that retained the alternating base 10 and base 6 in a sequence of cuneiform vertical wedges and chevrons. Sexagesimal numerals became widely used in commerce, but were also used in astronomical and other calculations.

RISOTTO employs a suffix tree to identify the (l, d)-motifs. It is somewhat similar to PMS0. For every l-mer in s1, it generates the d-neighborhood and for every l-mer in this neighborhood it walks through a suffix tree to check if this l-mer is an (l, d)-motif. Voting is similar to PMS1. Instead of using radix sorting, it uses hashing to compute Li’s and their intersections.

Bhavin Turakhia (born 21 December 1979) is an Indian billionaire and serial entrepreneur, and the founder of Flock, Radix, CodeChef and Zeta. He is the CEO of Flock and Zeta. In 2016, Bhavin was ranked as the 95th richest person in India, with a net worth of US$1.3 billion, along with his brother Divyank Turakhia, according to Forbes. He has been honored as a 2011 Young Global Leader by the World Economic Forum.

Accessed July 23, 2019. (649 students; in grades PreK-4), Oak Knoll Elementary SchoolOak Knoll Elementary School, Monroe Township Public Schools. Accessed July 23, 2019. (605; K-4), Radix Elementary SchoolRadix Elementary School, Monroe Township Public Schools. Accessed July 23, 2019. (797; PreK-4), Whitehall Elementary SchoolWhitehall Elementary School, Monroe Township Public Schools. Accessed July 23, 2019. (436; K-4), Williamstown Middle SchoolWilliamstown Middle School, Monroe Township Public Schools. Accessed July 23, 2019.

An anime adaptation was produced by RADIX, and directed by Mitsuhiro Tōgō and Shousei Jinno. The anime was based on Honami scenario of PC version, and contained twelve episodes and a special episode which mainly aired on Japanese Association of Independent Television Stations between June and September 2004. Four DVDs were released between October 22 and December 12, 2004 and additional four episodes based on Mikoto scenario were contained in volume four.

The common name of Angelica acutiloba is known as ' in Japanese. The root was used as a substitute for the crude drug in Kampō medicine (漢方製薬 Kanpō Seiyaku), which is a Japanese adaptation of Traditional Chinese medicine. The Traditional Chinese medicine uses the root of a different species A. sinensis, . The Latin pharmacological name for the crude drug, Radix Angelica sinensis, refers to the dried roots of A. sinensis.

Quaternary is the base- numeral system. It uses the digits 0, 1, 2 and 3 to represent any real number. Four is the largest number within the subitizing range and one of two numbers that is both a square and a highly composite number (the other being 36), making quaternary a convenient choice for a base at this scale. Despite being twice as large, its radix economy is equal to that of binary.

This is correct since the next position has a weight that is higher by a factor equal to the radix. Carrying works the same way in binary: 0 1 1 0 1 \+ 1 0 1 1 1 \------------- = 1 0 0 1 0 0 = 36 In this example, two numerals are being added together: 011012 (1310) and 101112 (2310). The top row shows the carry bits used. Starting in the rightmost column, 1 + 1 = 102.

In conventional binary number systems, the base, or radix, is 2; thus the rightmost bit represents 20, the next bit represents 21, the next bit 22, and so on. However, a binary number system with base −2 is also possible. The rightmost bit represents , the next bit represents , the next bit and so on, with alternating sign. The numbers that can be represented with four bits are shown in the comparison table below.

He began playing guitar at age ten. Molina attended Oberlin College, graduating with a Bachelor of Arts degree in 1996. After playing bass guitar in various heavy metal bands in and around Cleveland, Molina became a solo artist under an assumed band name, recruiting other musicians for each project as needed. He made several home recordings under various names, including Songs: Albian, Songs: Radix, and Songs: Unitas, which he distributed himself at live performances.

Binary MSD radix sort, also called binary quicksort, can be implemented in-place by splitting the input array into two bins - the 0s bin and the 1s bin. The 0s bin is grown from the beginning of the array, whereas the 1s bin is grown from the end of the array. The 0s bin boundary is placed before the first array element. The 1s bin boundary is placed after the last array element.

Lexicographic sorting of a set of keys can be accomplished by building a trie from them, with the children of each node sorted lexicographically, and traversing it in pre-order, printing only the leaves' values. This algorithm is a form of radix sort. A trie is the fundamental data structure of Burstsort, which (in 2007) was the fastest known string sorting algorithm due to its efficient cache use. Now there are faster ones.

A divisibility rule is a shorthand way of determining whether a given integer is divisible by a fixed divisor without performing the division, usually by examining its digits. Although there are divisibility tests for numbers in any radix, or base, and they are all different, this article presents rules and examples only for decimal, or base 10, numbers. Martin Gardner explained and popularized these rules in his September 1962 "Mathematical Games" column in Scientific American.

Lithospermum erythrorhizon, with flowers Lithospermum erythrorhizon, commonly called purple gromwell, red gromwell, red-root gromwell and redroot lithospermum, is a plant species in the genus Lithospermum. It is called zǐcǎo () in Chinese, jichi () in Korean, and murasaki (; ) in Japanese. The dried root of Lithospermum erythrorhizon (lithospermum root or Lithospermi Radix) is a Chinese herbal medicine with various antiviral and biological activities, including inhibition of human immunodeficiency virus type 1 (HIV-1).Chen, X., et al. (2003).

The first pass counts the number of objects that belong in each of the N buckets. The beginning of each bucket is then computed as the sum of sizes of the preceding buckets. The second pass puts each object into the correct bucket. American flag sort is most efficient with a radix that is a power of 2, because bit-shifting operations can be used instead of expensive exponentiations to compute the value of each digit.

As volume grew, more efficient sorting methods were developed. Approaching the 1940s, two popular methods were Sort-A-Matic and Top Tab Key. Sort-A-Matic involved a set of metal or leather dividers numbered 00 through 99, operated to implement a form of radix sort: cheques would be sorted by hand according to the first two digits. The cheques would be removed, and each stack sorted into the same dividers by the third and fourth digits.

A wealth of features made it a versatile calculator. Named variables, and interactive formulas of up to 79 keystrokes, could be stored, subject to a total memory usage of 440 bytes. Some features included a simultaneous equations solver, a polynomial root finder, two-variable statistics, complex numbers, and a recall feature, which would display the last equation entered and its answer. It had several features useful to computer programmers, such as radix modes and conversions and bitset operators.

Most operators encountered in programming and mathematics are of the binary form. For both programming and mathematics, these can be the multiplication operator, the radix operator, the often omitted exponentiation operator, the logarithm operator, the addition operator, the division operator. Logical predicates such as OR, XOR, AND, IMP are typically used as binary operators with two distinct operands. In CISC architectures, it is common to have two source operands (and store result in one of them).

David Courtney Boyle, born 1958, is a British author and journalist who writes mainly about history and new ideas in economics, money, business, and culture. He lives in Steyning in West Sussex. He conducted an independent review for the Treasury and the Cabinet Office on public demand for choice in public services which reported in 2013. He is co-founder and policy director of Radix, which he characterized in 2017 as a radical centrist think tank.

In December 2013, NPI launched a website, Radix Journal, which describes itself as "a periodical on culture, race, metapolitics, critical theory, and society". The NPI received a grant from the Pioneer Fund, a racist pseudo-scientific organization. In 2016, Twitter suspended the accounts of the NPI, its leader Richard B. Spencer and others under its terms of use. Spencer said that "digitally speaking, there has been execution squads across the alt-right" and accused Twitter of "corporate Stalinism".

Radix balthica lives in rivers and creeks, streams and streamlets and stagnant waters.It has high degrees of tolerance to pH levels, salinity concentrations and temperature conditions but it prefers calcareous waters (Welter-Schulte 2009). Reproduction: The animals are hermaphrodite like all species of Lymnaeidae, but have separate sexual apertures and are not inbreeding. During copulation the snail playing the role of the male overlaps on the snail playing female presenting "his" penis to the opening of the "female".

Positional notation (also known as "place-value notation") refers to the representation or encoding of numbers using the same symbol for the different orders of magnitude (e.g., the "ones place", "tens place", "hundreds place") and, with a radix point, using those same symbols to represent fractions (e.g., the "tenths place", "hundredths place"). For example, 507.36 denotes 5 hundreds (102), plus 0 tens (101), plus 7 units (100), plus 3 tenths (10−1) plus 6 hundredths (10−2).

This species is found in freshwater lakes, ponds, and slow-moving rivers with mud bottoms. Radix auricularia can live on boulders or vegetation in low or high-flow environments, and is capable of tolerating anoxic conditions, but it tends to prefer very lentic waters in lakes, bogs or slow rivers where there is a silt substrate.Sytsma, M. D., J. R. Cordell, J. W. Chapman and R. C. Draheim. 2004. Lower Columbia River Aquatic Nonindigenous Species Survey 2001-2004.

Each of the bins are recursively processed, as is done for the in-place MSD radix sort. After the sort by the last digit has been completed, the output buffer is checked to see if it is the original input array, and if it's not, then a single copy is performed. If the digit size is chosen such that the key size divided by the digit size is an even number, the copy at the end is avoided.

It may be abbreviated to "h" or "hh". Although measurements between whole hands are usually expressed in what appears to be decimal format, the subdivision of the hand is not decimal but is in base 4, so subdivisions after the radix point are in quarters of a hand, which are inches. Thus, 62 inches is fifteen and a half hands, or 15.2 hh (normally said as "fifteen-two", or occasionally in full as "fifteen hands two inches").

There are numerous branches of body psychotherapy, often tracing their origins to particular individuals: for example, 'Bioenergetic analysis' to the work of Lowen and Pierrakos; 'Radix' to the work of Chuck Kelley; Organismic Psychotherapy to the work of Malcolm and Katherine Brown; 'Biosynthesis' to the work of David Boadella;Boadella. D. (1987) Lifestreams: An introduction to Biosynthesis. Routledge & Kegan Paul. 'Biodynamic Psychology' to that of Gerda Boyesen; 'Rubenfeld Synergy' to Ilana Rubenfeld's work;Steckler, L. H. (2006).

The Last Legends of Earth is a 1989 science fiction novel by A. A. Attanasio, the fourth and final novel in his Radix Tetrad series. It contains the continuing story of the conflict between the humans, zōtl, Rimstalkers, other spatial dimensions, and time-travel/temporal distortion as do other novels in the tetrad, though this novel is set in events before In Other Worlds. The book has been republished by Phoenix Pick, an imprint of Arc Manor Publishers.

For data in which the maximum key size is significantly smaller than the number of data items, counting sort may be parallelized by splitting the input into subarrays of approximately equal size, processing each subarray in parallel to generate a separate count array for each subarray, and then merging the count arrays. When used as part of a parallel radix sort algorithm, the key size (base of the radix representation) should be chosen to match the size of the split subarrays.. The simplicity of the counting sort algorithm and its use of the easily parallelizable prefix sum primitive also make it usable in more fine- grained parallel algorithms.. As described, counting sort is not an in-place algorithm; even disregarding the count array, it needs separate input and output arrays. It is possible to modify the algorithm so that it places the items into sorted order within the same array that was given to it as the input, using only the count array as auxiliary storage; however, the modified in-place version of counting sort is not stable.

The classical integer sorting algorithms of pigeonhole sort, counting sort, and radix sort are widely used and practical.; . Much of the subsequent research on integer sorting algorithms has focused less on practicality and more on theoretical improvements in their worst case analysis, and the algorithms that come from this line of research are not believed to be practical for current 64-bit computer architectures, although experiments have shown that some of these methods may be an improvement on radix sorting for data with 128 or more bits per key.. Additionally, for large data sets, the near-random memory access patterns of many integer sorting algorithms can handicap them compared to comparison sorting algorithms that have been designed with the memory hierarchy in mind.. Integer sorting provides one of the six benchmarks in the DARPA High Productivity Computing Systems Discrete Mathematics benchmark suite,DARPA HPCS Discrete Mathematics Benchmarks, Duncan A. Buell, University of South Carolina, retrieved 2011-04-20. and one of eleven benchmarks in the NAS Parallel Benchmarks suite.

The circuit diagram for a binary half adder, which adds two bits together, producing sum and carry bits The simplest arithmetic operation in binary is addition. Adding two single-digit binary numbers is relatively simple, using a form of carrying: :0 + 0 → 0 :0 + 1 → 1 :1 + 0 → 1 :1 + 1 → 0, carry 1 (since 1 + 1 = 2 = 0 + (1 × 21) ) Adding two "1" digits produces a digit "0", while 1 will have to be added to the next column. This is similar to what happens in decimal when certain single-digit numbers are added together; if the result equals or exceeds the value of the radix (10), the digit to the left is incremented: :5 + 5 → 0, carry 1 (since 5 + 5 = 10 = 0 + (1 × 101) ) :7 + 9 → 6, carry 1 (since 7 + 9 = 16 = 6 + (1 × 101) ) This is known as carrying. When the result of an addition exceeds the value of a digit, the procedure is to "carry" the excess amount divided by the radix (that is, 10/10) to the left, adding it to the next positional value.

The plains garter snake (Thamnophis radix) is a species of garter snake native to most of the Central United States stretching as far north as Canada and as far south as Texas. It has a distinctive orange or yellow stripe that goes from its head to tail, the rest of its body is mainly a gray-green color. The snake is commonly found living near water sources such as streams and ponds, but can also be found in urban areas and vacant lots.

Additionally, it is difficult to parallelize the partitioning step efficiently in-place. The use of scratch space simplifies the partitioning step, but increases the algorithm's memory footprint and constant overheads. Other more sophisticated parallel sorting algorithms can achieve even better time bounds. For example, in 1991 David Powers described a parallelized quicksort (and a related radix sort) that can operate in time on a CRCW (concurrent read and concurrent write) PRAM (parallel random-access machine) with processors by performing partitioning implicitly.

Caution should be exercised in treatment with laser surgery since it causes a loss of retinal tissue. It is often more prudent to inject triamcinolone or anti-VEGF drugs. In some patients it results in a marked increase of vision, especially if there is an edema of the macula. Although commonly used in some parts of the world, it is unclear whether herbal medicine (for example, Ruscus extract and Radix Notoginseng extract) are of benefit to people with diabetic retinopathy.

Kahan is now emeritus professor of mathematics and of electrical engineering and computer sciences (EECS) at the University of California, Berkeley. Kahan was the primary architect behind the IEEE 754-1985 standard for floating-point computation (and its radix- independent follow-on, IEEE 854). He has been called "The Father of Floating Point", since he was instrumental in creating the original IEEE 754 specification. Kahan continued his contributions to the IEEE 754 revision that led to the current IEEE 754 standard.

Many integer sorting algorithms have been developed whose theoretical analysis shows them to behave better than comparison sorting, pigeonhole sorting, or radix sorting for large enough combinations of the parameters defining the number of items to be sorted, range of keys, and machine word size. Which algorithm has the best performance depends on the values of these parameters. However, despite their theoretical advantages, these algorithms are not an improvement for the typical ranges of these parameters that arise in practical sorting problems.

Decimal representation refers exclusively, in common use, to the written numeral system employing arabic numerals as the digits for a radix 10 ("decimal") positional notation; however, any numeral system based on powers of 10, e.g., Greek, Cyrillic, Roman, or Chinese numerals may conceptually be described as "decimal notation" or "decimal representation". Modern methods for four fundamental operations (addition, subtraction, multiplication and division) were first devised by Brahmagupta of India. This was known during medieval Europe as "Modus Indoram" or Method of the Indians.

In mathematics and digital electronics, a binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically "0" (zero) and "1" (one). The base-2 numeral system is a positional notation with a radix of 2. Each digit is referred to as a bit. Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used by almost all modern computers and computer-based devices.

In decimal, there is a kind of guess for each digit, which is seen to be right or wrong as the calculation progresses. In quote notation, division produces digits from right-to-left, the same as all other arithmetic algorithms; therefore further arithmetic is easy. Quote arithmetic is exact, with no error. Each rational number has a unique representation (if the repetition is expressed as simply as possible, and we have no meaningless 0s at the right end after a radix point).

There are two representations of the rational numbers in common use. One uses a sign ( + or – ), followed by a nonnegative integer (numerator), followed by a division symbol, followed by a positive integer (denominator). For example, –58/2975 . (If no sign is written, the sign is + .) The other is a sign followed by a sequence of digits, with a radix point (called a decimal point in base ten) somewhere in the sequence, and an overscore over one or more of the rightmost digits.

MSD sorts are not necessarily stable if the original ordering of duplicate keys must always be maintained. Other than the traversal order, MSD and LSD sorts differ in their handling of variable length input. LSD sorts can group by length, radix sort each group, then concatenate the groups in size order. MSD sorts must effectively 'extend' all shorter keys to the size of the largest key and sort them accordingly, which can be more complicated than the grouping required by LSD.

This variant is almost never used in computations, except in situations where one wants to avoid increasing the scale of floating-point numbers, which have a limited exponent range. With round half to even, a non-infinite number would round to infinity, and a small value would round to a normal non-zero value. Effectively, this mode prefers preserving the existing scale of tie numbers, avoiding out-of- range results when possible for numeral systems of even radix (such as binary and decimal).

The term radical was already in use when the now obsolete radical theory was developed. Louis-Bernard Guyton de Morveau introduced the phrase "radical" in 1785 and the phrase was employed by Antoine Lavoisier in 1789 in his Traité Élémentaire de Chimie. A radical was then identified as the root base of certain acids (the Latin word "radix" meaning "root"). Historically, the term radical in radical theory was also used for bound parts of the molecule, especially when they remain unchanged in reactions.

Setting out to kill Death, three young men encounter an Old Man who says they will find him under a nearby tree. When they arrive they discover a hoard of treasure and decide to stay with it until nightfall and carry it away under the cover of night. Out of greed, they murder one another. The tale and prologue are primarily concerned with what the Pardoner says is his "theme": Radix malorum est cupiditas ("Greed is the root of [all] evils").

As a different fish community will result from the process it will affect recreational and commercial fishermen whose cooperation or opposition is important. Radix peregra var. ovata Lake Zwemlust, a hypertrophic pond used as a swimming pool in The Netherlands with an area of 1.5 hectares and an average depth of 1.5 meters, was treated in March 1987. The initial Secchi disk transparency was only 0.3 meters, less than the 1 meter maximum permitted for swimming pools in The Netherlands.

However, Leonhard Euler believed it originated from the letter "r", the first letter of the Latin word "radix" (meaning "root"), referring to the same mathematical operation. The symbol was first seen in print without the vinculum (the horizontal "bar" over the numbers inside the radical symbol) in the year 1525 in Die Coss by Christoff Rudolff, a German mathematician. In 1637 Descartes was the first to unite the German radical sign √ with the vinculum to create the radical symbol in common use today.

Compared with the investigations in 11 spots in Tokyo, the Palace had the most good soil for the earthworms.Biology Study Group[2001:58-61] Thirteen species of fresh water shellfishes and 40 species of land snail were confirmed in the Palace. Freshwater shellfishes previously commonly seen in Japan became rare, but they were seen in the Palace, including Sphaerium japonicum, a kind Viviparidae and Radix auricularia. As an example of artificial intervention, kawanina, or Semisulcospira libertina, was introduced for the growth of fireflies.

Mike was a CSRG principal programmer for 8 years. Mike worked closely with Van Jacobson on a number of widely accepted algorithms in TCP implementation. Including the Jacobson/Karels algorithm TCP slow start and the routing radix tree are probably the most famous ones. Mike spends little time taking credit for this work, and on the other hand, uses every opportunity to mention the names of people who had in one way or other some role or contribution to the TCP/IP implementation in Unix.

This is the simplest formal method, and the most general, applying to sequential, parallel, stand-alone, communicating, terminating, nonterminating, natural-time, real-time, deterministic, and probabilistic programs, and includes time and space bounds. This idea has influenced other computer science researchers, including Tony Hoare. Hehner's other research areas include probabilistic programming, unified algebra, and high-level circuit design. In 1979, Hehner invented a generalization of radix complement called quote notation, which is a representation of the rational numbers that allows easier arithmetic and precludes roundoff error.

In 1994, Andrew Aveling met Justin Anderson from Freaky Realistic, and together they started a band named Radix Couplment. Andrew was dating Ann Shenton at this time, and got her involved on the project. Andrew then asked his friend Barry Smith (a former Radio Prague DJ)Strong, Martin C. (2002) The Great Rock Discography (6th Edition), Canongate, if he too would be interested in joining. They then spent some time gigging under this name before a fall out which led to Anderson's departure from the band.

Costi amari radix or costus root was an important item of Roman trade with India, and is believed to have been the dried root of Saussurea lappa. Several varieties of snow lotus are used in traditional Tibetan medicine. Saussurea lappa is used a component of the traditional Tibetan medicine Padma 28. Research conducted on the Himalayan medicinal plants by C.P. Kala reveals that the practitioners of Tibetan medicine living in the Pin Valley of Himachal Pradesh use its root for curing dysentery and ulcer.

These episodes were used as the first four episodes of the TV series that first aired on April 4, 2005 and ended on June 27, 2005. The OVAs were edited and cut in length to make the episodes fit in a normal television timeslot. Episodes five to thirteen was directed by Mitsuhiro Tōgō and produced by Radix. In Comic Party Revolution, Kazuki and Mizuki are now attending college and many of the events that take place in the game are hinted to have happened.

The FST is initially created through algorithmic parsing of some word source, such as a dictionary, complete with modifier markups. Another approach is through the use of an indexed lookup method, which uses a constructed radix tree. This is not an often-taken route because it breaks down for morphologically complex languages. With the advancement of neural networks in natural language processing, it became less common to use FST for morphological analysis, especially for languages for which there is a lot of available training data.

Expenses were met by the local water authority which was compensated by increased patronage by swimmers. In the summer of the second year, 1988, there was considerable plant growth and, possibly due to lack of predation by carp or minnows, an explosion in the number of snails, including Radix peregra var. ovata a host of Trichobilharzia ocellata the cause of schistosome dermatitis, swimmer's itch. In addition to grazing by zooplankton the lush growth of macrophytes removed sufficient nutrients from the water to prevent algal bloom by phytoplanktons.

Tososan The recipe is said to have originated as a prescription of the famous Chinese physician Hua Tuo during the Three Kingdoms period. Ingredients have changed somewhat over time; some of the original Chinese ones were deemed at one point or another to be too potent for casual consumption. Nowadays it is typically made from Japanese pepper, asiasari radix, apiaceae, cinnamon, dried ginger, atractylodes Japonica, Chinese bellflower and rhubarb, amongst others. It is held to be effective medicinally and useful at the onset of colds.

Subscripts are often used to refer to members of a mathematical sequence or set or elements of a vector. For example, in the sequence O = (45, −2, 800), O3 refers to the third member of sequence O, which is 800. Also in mathematics and computing, a subscript can be used to represent the radix, or base, of a written number, especially where multiple bases are used alongside each other. For example, comparing values in hexadecimal, denary, and octal one might write Chex = 12dec = 14oct.

Systems with negative base, complex base or negative digits have been described (see section Non-standard positional numeral systems). Interestingly, most of them do not require a minus sign for designating negative numbers. The use of a radix point (decimal point in base ten), extends to include fractions and allows representing every real number up to arbitrary accuracy. With positional notation, arithmetical computations are greatly simpler than with any older numeral system, and this explains the rapid spread of the notation when it was introduced in western Europe.

Approximation may be needed due to a possibility of non-terminating digits if the reduced fraction's denominator has a prime factor other than any of the base's prime factor(s) to convert to. For example, 0.1 in decimal (1/10) is 0b1/0b1010 in binary, by dividing this in that radix, the result is 0b0.00011 (because one of the prime factors of 10 is 5). For more general fractions and bases see the algorithm for positive bases. In practice, Horner's method is more efficient than the repeated division required above.

American flag sort works by successively dividing a list of objects into buckets based on the first digit of their base-N representation (the base used is referred to as the radix). When N is 3, each object can be swapped into the correct bucket by using the Dutch national flag algorithm. When N is larger, however, objects cannot be immediately swapped into place, because it is unknown where each bucket should begin and end. American flag sort gets around this problem by making two passes through the array.

The text of "O Come, O Come, Emmanuel," in all its various versions, is a metrical paraphrase of the O Antiphons, so the intricate theological allusions of the hymn are essentially the same as for the antiphons. One notable difference is that the antiphon "O Radix Jesse" ("root" of Jesse) is generally rendered in meter as "Veni, O Iesse virgula" ("shoot" of Jesse). Both refer to the writings of the prophet Isaiah ( and , respectively), but the hymn's "virgula" precludes the formation of the acrostic "ero cras" from the antiphons.

By February 1965, it was deployed as a mainstay battle force"WORK-IN-PROGRESS, Special Forces In Indochina". Sherman, Stephen. Radix Press 2006 once the war was in full swing. They used unconventional and conventional warfare, and were some of the last soldiers the United States pulled out of Vietnam. 5th SFG flash from 1961 to 1964 and 1985 to 2016 The group's personnel in Vietnam adopted a variant flash with an added diagonal yellow stripe with three narrow red over-stripes to the existing black background with white border from 1964 to 1970.

Nandha is the 1st institution in implementing FFS scheme in southern India for providing its students a sophisticated education that students can select their staff for their availed subjects. Project Based Learning is also provided for having practical knowledge and this is also left up to the student's own choice. Annual events include a two-day technical event organized by the Electronics and Telecommunication Department; Radix, a technical event organized by the Electrical and Electronics Department; Techiez, a technical event organized by Computer Science department; TechCruise, and a technical event organized by Information Technology Department.

It is implemented as a multi-threaded daemon, using a number of programming techniques and data structures to make the server very fastResponse rate benchmark of several OSS authoritative name servers, notably Read-copy-updateKnot DNS memory requirements or a special kind of a radix tree. Knot DNS uses a zone parser written in Ragel to achieve very fast loading of the zones at the startup. It is also able to add and remove zones on the fly by changing the configuration file and reloading the server using the 'knotc' utility. Since version 3.0.

The name Tuscola was a Neologism created by Henry Schoolcraft and had a radix from an aboriginal name. That source name likely was the native Ojibwe name "desakamigaa" that means the flat level ground or simply the flat country.The Ojibwe People's Dictionary For an ending, Mr. Schoolcraft then used a form of the Latin word "colo" that means to cultivate, till, or farm or a land that is cultivated. For the suffix, the related Latin word "colonia" from which we get today the word colony means a farm estate.

From 1791 onwards, Montmorin, Minister of Foreign Affairs, started to organize resistance to the progress of the Revolution; he thought that Radix de Sainte-Foix had the right financial and various other skills for this sort of business. And so, the funds of the Civil List (la Liste civile), voted annually by the National Assembly were partially assigned to secret expenses. These were the considerable amounts of money traditionally assigned to the princes' expenses. It was the idea of Mirabeau to use them to preserve the constitutional monarchy.

The king, who had no overall strategy, often seemed to place his trust in people who did not really deserve it. At the beginning of the Revolution, Radix was selling some of his Paris properties in order to acquire great estates in the provinces, that were then being sold off as biens nationaux. These were highly successful speculative investments that he acquired at low cost. Thus, for example, he purchased the Château de Neuilly, located at Neuilly-sur-Seine, but early in 1792 sold it to Madame de Montesson.

The generalized concept of the radix complement (as described below) is also valuable in number theory, such as in Midy's theorem. The nines' complement of a number given in decimal representation is formed by replacing each digit with nine minus that digit. To subtract a decimal number y (the subtrahend) from another number x (the minuend) two methods may be used: In the first method the nines' complement of x is added to y. Then the nines' complement of the result obtained is formed to produce the desired result.

Liquorice root, or 'radix glycyrrhizae', is one of the 50 fundamental herbs used in traditional Chinese medicine, where it has the name gancao (kan-tsao; , pinyin: gāncǎo). It is used in Chinese medicine to harmonize other herbs and to reduce the harsh effects of other herbs. It is usually collected in spring and autumn, when it is removed from the rootlet and dried in the sun. Liquorice root is most commonly produced in the Shanxi, Gansu and Xinjiang regions of China.“Gan Cao.” Chinese Medical Herbology and Pharmacology. .

However, if the value of is not already known then it may be computed, as a first step, by an additional loop over the data to determine the maximum key value that actually occurs within the data. The output is an array of the items, in order by their keys. Because of the application to radix sorting, it is important for counting sort to be a stable sort: if two items have the same key as each other, they should have the same relative position in the output as they did in the input.

Thus, the funds of the Liste Civile, voted annually by the National Assembly, were partially assigned to secret expenses in order to preserve the monarchy. Arnault Laporte, who was in charge of the Civil list, collaborated with both Montmorin and Mirabeau. After the sudden death of Mirabeau, Maximilien Radix de Sainte-Foix, a noted financier, took his place. In effect, he headed a secret council of advisers to Louis XVI, which tried to preserve the monarchy; these schemes proved unsuccessful, and were exposed later when the armoire de fer was discovered.

For a radix of 10, there is thought to be no number with a multiplicative persistence > 11: this is known to be true for numbers up to 1020000. The smallest numbers with persistence 0, 1, ... are: :0, 10, 25, 39, 77, 679, 6788, 68889, 2677889, 26888999, 3778888999, 277777788888899. The search for these numbers can be sped up by using additional properties of the decimal digits of these record-breaking numbers. These digits must be sorted, and, except for the first two digits, all digits must be 7, 8, or 9.

Also, each position to the left represents a value ten times larger than the position to the right. In mathematical terms, the exponent for the radix (base) of 10 increases by 1 (to the left) or decreases by 1 (to the right). Therefore, the value for any arbitrary digit is multiplied by a value of the form 10n with integer n. The list of values corresponding to all possible positions for a single digit is written Repeated multiplication of any value in this list by 10 produces another value in the list.

The poem of Christ I is broken down into twelve smaller subsections of individual verse. Each subsection is introduced with a selection from a Latin antiphon, followed by lines of poetry in Old English. Sections I, II, III, IV, V, VI, VIII, and IX derive from the “Greater Antiphons”, while sections VII, X, XI, and XII do not. It is unknown if the author intended to use all of the selections from the “Great Antiphons”, but some scholars speculate that the antiphons not used, “O Sapientia”, “O Adonai”, and “O radix Jesse”, have been lost.

The TV series was being directed by Romanov Higa with Haruhiko Mikimoto as character design and Romi Park as voice actress for Deunan Knute. On September 26, 2008, the Robix Mobanimation studio filed a lawsuit against Micott & Basara production company for halting the production without reason and not paying for the production costs. On July 14, 2009, Miccot & Basara countersued Robix Mobanimation studio claiming that there was no unpaid production costs and that Radix unilaterally ended their discussion about the production. On April 18, 2012, the two reached a settlement agreement.

Gracilimus radix, the Sulawesi root rat, is a species of rat in the family Muridae. It is a monotypic species, as it the only member of the genus Gracilimus. It is only known from the Mamasa Regency in Sulawesi, Indonesia, where it is endemic to the slopes of Mt. Gandangdewata in the Quarles Range, where it is found at an elevation of about 1600 m. The closest relative of the slender rat is the Sulawesi water rat (Waiomys mamasae), and both belong in a clade of insectivorous rodents endemic to Sulawesi.

This species has shown a potential to adapt to new environments within large lakes, as indicated by its recent history in Lake Baikal, Russia, where this introduced species was previously restricted to shallow bays and floodplain areas, but has recently been able to colonize the rocky drop-off in the lake.Stift, M., E. Michel, T. Y. Sitnikova, E. Y. Mamonova and D. Y. Sherbakov. 2004. Palaearctic gastropod gains a foothold in the dominion of endemics: range expansion and morphological change of Lymnaea (Radix) auricularia in Lake Baikal. Hydrobiologia 513(1-3):101-108.

It has been shown in some benchmarks to be faster than other more general purpose sorting algorithms, sometimes 50% to three times as fast. An IBM card sorter performing a radix sort on a large set of punched cards. Cards are fed into a hopper below the operator's chin and are sorted into one of the machine's 13 output baskets, based on the data punched into one column on the cards. The crank near the input hopper is used to move the read head to the next column as the sort progresses.

They supported artists like Bunny Wailer, Gregory Isaacs, Michael Prophet, Eek-A-Mouse, and Israel Vibration and have released several albums to their name as well. As an aside, the English word 'Radical' is derived from the Latin word 'Radix', which is the Latin word for 'Root'. Somewhere late in 1979 the band recorded the riddims for Barrington Levy's first songs for producer Henry "Junjo" Lawes, credited at the time as the Channel One Stars. With hindsight these riddims are now considered the birth of Jamaican dancehall music.

Indeed, this is almost a form of fixed point arithmetic since the position of the radix point is implied. The Hertz and Chen–Ho encodings provide Boolean transformations for converting groups of three BCD-encoded digits to and from 10-bit values that can be efficiently encoded in hardware with only 2 or 3 gate delays. Densely packed decimal (DPD) is a similar scheme that is used for most of the significand, except the lead digit, for one of the two alternative decimal encodings specified in the IEEE 754-2008 floating-point standard.

The human penis is an external male intromittent organ that additionally serves as the urinal duct. The main parts are the root (radix); the body (corpus); and the epithelium of the penis including the shaft skin and the foreskin (prepuce) covering the glans penis. The body of the penis is made up of three columns of tissue: two corpora cavernosa on the dorsal side and corpus spongiosum between them on the ventral side. The human male urethra passes through the prostate gland, where it is joined by the ejaculatory duct, and then through the penis.

The standard specifies optional extended and extendable precision formats, which provide greater precision than the basic formats.. An extended precision format extends a basic format by using more precision and more exponent range. An extendable precision format allows the user to specify the precision and exponent range. An implementation may use whatever internal representation it chooses for such formats; all that needs to be defined are its parameters (b, p, and emax). These parameters uniquely describe the set of finite numbers (combinations of sign, significand, and exponent for the given radix) that it can represent.

Analogous to the way an ASCII or EBCDIC character string representing a decimal number is converted to a numeric quantity for computing, a variable length string can be converted as (x0ak−1+x1ak−2+...+xk−2a+xk−1). This is simply a polynomial in a non-zero "radix" a!=1 that takes the components (x0,x1,...,xk−1) as the characters of the input string of length k. It can be used directly as the hash code, or a hash function applied to it to map the potentially large value to the hash table size.

The conversion to a base b_2 of an integer represented in base b_1 can be done by a succession of Euclidean divisions by b_2: the right-most digit in base b_2 is the remainder of the division of by b_2; the second right-most digit is the remainder of the division of the quotient by b_2, and so on. More precisely, the th digit from the right is the remainder of the division by b_2 of the th quotient. For example: converting A10BHex to decimal (41227): 0xA10B/10 = 0x101A R: 7 (ones place) 0x101A/10 = 0x19C R: 2 (tens place) 0x19C/10 = 0x29 R: 2 (hundreds place) 0x29/10 = 0x4 R: 1 ... 0x4/10 = 0x0 R: 4 When converting to a larger base (such as from binary to decimal), the remainder represents b_2 as a single digit, using digits from b_1. For example: converting 0b11111001 (binary) to 249 (decimal): 0b11111001/10 = 0b11000 R: 0b1001 (0b1001 = "9" for ones place) 0b11000/10 = 0b10 R: 0b100 (0b100 = "4" for tens) 0b10/10 = 0b0 R: 0b10 (0b10 = "2" for hundreds) For the fractional part, conversion can be done by taking digits after the radix point (the numerator), and dividing it by the implied denominator in the target radix.

Floating- point arithmetic is needed for very large or very small real numbers, or computations that require a large dynamic range. Floating-point representation is similar to scientific notation, except everything is carried out in base two, rather than base ten. The encoding scheme stores the sign, the exponent (in base two for Cray and VAX, base two or ten for IEEE floating point formats, and base 16 for IBM Floating Point Architecture) and the Significand (number after the radix point). While several similar formats are in use, the most common is ANSI/IEEE Std. 754-1985.

The main soil in Shuanghua is red soil, which provides a fertile soil layer for Radix Morindae Officinalis (Morinda root), Castanea mollissima(Chinese chestnut), pear and tea to grow. Furthermore, Shuanghua also has a big reserve of tungsten, iron, tin and potassium feldspar, all of which are in high quality and have high exploration value. In 2008, the gross output value of industry and agriculture in Shuanghua town was 159 million, with an increase of 5% over last year. The per-capita annual income of rural residents was 3325rmb with an increase of 5% compared to that of 2007.

In combinatorics, the factorial number system, also called factoradic, is a mixed radix numeral system adapted to numbering permutations. It is also called factorial base, although factorials do not function as base, but as place value of digits. By converting a number less than n! to factorial representation, one obtains a sequence of n digits that can be converted to a permutation of n in a straightforward way, either using them as Lehmer code or as inversion table representation; in the former case the resulting map from integers to permutations of n lists them in lexicographical order.

The Sumerians' cuneiform script is the oldest (or second oldest after the Egyptian hieroglyphs) which has been deciphered (the status of even older inscriptions such as the Jiahu symbols and Tartaria tablets is controversial). The Sumerians were among the first astronomers, mapping the stars into sets of constellations, many of which survived in the zodiac and were also recognized by the ancient Greeks. They were also aware of the five planets that are easily visible to the naked eye. They invented and developed arithmetic by using several different number systems including a mixed radix system with an alternating base 10 and base 6.

There were very few members of the National Convention who, during the trial of Louis XVI, were ignorant of the role played by Radix de Sainte-Foix and of the revelations that he could provide. In view of the documents found in the armoire de fer, at the request of the Girondins, it was decreed that he should be arrested, and explain himself in court. He was interrogated on Feb. 27, 1793 at the Criminal Court in Paris by Philippe Rühl, a friend of Danton, with the inquest being chaired by Jules- François Paré, Danton's former clerk.

Elements are distributed among bins Then, elements are sorted within each bin Bucket sort, or bin sort, is a sorting algorithm that works by distributing the elements of an array into a number of buckets. Each bucket is then sorted individually, either using a different sorting algorithm, or by recursively applying the bucket sorting algorithm. It is a distribution sort, a generalization of pigeonhole sort, and is a cousin of radix sort in the most- to-least significant digit flavor. Bucket sort can be implemented with comparisons and therefore can also be considered a comparison sort algorithm.

In mathematics, the persistence of a number is the number of times one must apply a given operation to an integer before reaching a fixed point at which the operation no longer alters the number. Usually, this involves additive or multiplicative persistence of an integer, which is how often one has to replace the number by the sum or product of its digits until one reaches a single digit. Because the numbers are broken down into their digits, the additive or multiplicative persistence depends on the radix. In the remainder of this article, base ten is assumed.

A Van Emde Boas tree may be used as a priority queue to sort a set of keys, each in the range from to , in time . This is a theoretical improvement over radix sorting when is sufficiently large. However, in order to use a Van Emde Boas tree, one either needs a directly addressable memory of words, or one needs to simulate it using a hash table, reducing the space to linear but making the algorithm be randomized. Another priority queue with similar performance (including the need for randomization in the form of hash tables) is the Y-fast trie of .

Radical discipleship is a movement in practical theology that has emerged from a yearning to follow the true message of Jesus and a discontentment with mainstream Christianity. Radical Christians, such as Ched Myers and Lee Camp, believe mainstream Christianity has moved away from its origins, namely the core teachings and practices of Jesus such as turning the other cheek and rejecting materialism. Radical is derived from the Latin word radix meaning "root", referring to the need for perpetual re-orientation towards the root truths of Christian discipleship. Radical discipleship also refers to the Anabaptist Reformation movement beginning in Zurich, Switzerland in 1527.

Some sorting problems admit a strictly faster solution than the bound for comparison sorting; an example is integer sorting, where all keys are integers. When the keys form a small (compared to ) range, counting sort is an example algorithm that runs in linear time. Other integer sorting algorithms, such as radix sort, are not asymptotically faster than comparison sorting, but can be faster in practice. The problem of sorting pairs of numbers by their sum is not subject to the bound either (the square resulting from the pairing up); the best known algorithm still takes time, but only comparisons.

LSD sorts are generally stable sorts. MSD radix sorts are most suitable for sorting strings or fixed-length integer representations. A sequence like [b, c, e, d, f, g, ba] would be sorted as [b, ba, c, d, e, f, g]. If lexicographic ordering is used to sort variable-length integer in base 10, then numbers from 1 to 10 would be output as [1, 10, 2, 3, 4, 5, 6, 7, 8, 9], as if the shorter keys were left-justified and padded on the right with blank characters to make the shorter keys as long as the longest key.

Although the abstract Cooley–Tukey factorization of the DFT, above, applies in some form to all implementations of the algorithm, much greater diversity exists in the techniques for ordering and accessing the data at each stage of the FFT. Of special interest is the problem of devising an in-place algorithm that overwrites its input with its output data using only O(1) auxiliary storage. The most well-known reordering technique involves explicit bit reversal for in-place radix-2 algorithms. Bit reversal is the permutation where the data at an index n, written in binary with digits b4b3b2b1b0 (e.g.

Johnson, S. G., and M. Frigo, "A modified split-radix FFT with fewer arithmetic operations," IEEE Trans. Signal Process. 55 (1), 111–119 (2007). (On present-day computers, performance is determined more by cache and CPU pipeline considerations than by strict operation counts; well-optimized FFT implementations often employ larger radices and/or hard-coded base-case transforms of significant size.). Another way of looking at the Cooley–Tukey algorithm is that it re-expresses a size N one-dimensional DFT as an N1 by N2 two-dimensional DFT (plus twiddles), where the output matrix is transposed.

The standard recommends how language standards should specify the semantics of sequences of operations, and points out the subtleties of literal meanings and optimizations that change the value of a result. By contrast, the previous 1985 version of the standard left aspects of the language interface unspecified, which led to inconsistent behavior between compilers, or different optimization levels in a single compiler. Programming languages should allow a user to specify a minimum precision for intermediate calculations of expressions for each radix. This is referred to as "preferredWidth" in the standard, and it should be possible to set this on a per block basis.

On the other hand, PFA has the disadvantages that it only works for relatively prime factors (e.g. it is useless for power-of-two sizes) and that it requires a more complicated re-indexing of the data based on the Chinese remainder theorem (CRT). Note, however, that PFA can be combined with mixed-radix Cooley–Tukey, with the former factorizing N into relatively prime components and the latter handling repeated factors. PFA is also closely related to the nested Winograd FFT algorithm, where the latter performs the decomposed N1 by N2 transform via more sophisticated two-dimensional convolution techniques.

Prior to the onset of altitude sickness, ibuprofen is a suggested non-steroidal anti-inflammatory and painkiller that can help alleviate both the headache and nausea associated with AMS. It has not been studied for the prevention of cerebral edema (swelling of the brain) associated with extreme symptoms of AMS. Indigenous peoples of the Americas, such as the Aymaras of the Altiplano, have for centuries chewed coca leaves to try to alleviate the symptoms of mild altitude sickness. In Chinese and Tibetan traditional medicine an extract of the root tissue of Radix rhodiola is often taken in order to prevent the same symptoms.

An alternative method assigns a random number to each element of the set to be shuffled and then sorts the set according to the assigned numbers. The sorting method has the same asymptotic time complexity as Fisher–Yates: although general sorting is O(n log n), numbers are efficiently sorted using Radix sort in O(n) time. Like the Fisher–Yates shuffle, the sorting method produces unbiased results. However, care must be taken to ensure that the assigned random numbers are never duplicated, since sorting algorithms typically don't order elements randomly in case of a tie.

In mathematics and computing, the hexadecimal (also base 16 or hex) numeral system is a positional numeral system that represents numbers using a radix (base) of 16. Unlike the common way of representing numbers using 10 symbols, hexadecimal uses 16 distinct symbols, most often the symbols "0"–"9" to represent values 0 to 9, and "A"–"F" (or alternatively "a"–"f") to represent values 10 to 15. Hexadecimal numerals are widely used by computer system designers and programmers because they provide a human-friendly representation of binary-coded values. Each hexadecimal digit represents four bits (binary digits), also known as a nibble (or nybble), which is half a byte.

In the accompanying diagram, the cluster size is m = 4, and the skeleton fanout is f = 3. Assuming 108 sites (real nodes) for convenience, we get a three-tier virtual hierarchy. Since f = 3, each virtual node has a natural numbering in octal. Thus, the 27 virtual nodes at the lowest tier would be numbered 000, 001, 002, ..., 221, 222 in octal (we can, of course, vary the fanout at each level - in that case, each node will be identified with the corresponding mixed-radix number). Instead of applying HRW to all 108 real nodes, we can first apply HRW to the 27 lowest- tier virtual nodes, selecting one.

This can be applied recursively, as done in the radix-2 FFT and the Fast Walsh–Hadamard transform. Splitting a known matrix into the Hadamard product of two smaller matrices is known as the "nearest Kronecker Product" problem, and can be solved exactly by using the SVD. To split a matrix into the Hadamard product of more than two matrices, in an optimal fashion, is a difficult problem and the subject of ongoing research; some authors cast it as a tensor decomposition problem. In conjunction with the least squares method, the Kronecker product can be used as an accurate solution to the hand eye calibration problem.

More general is using a mixed radix notation (here written little-endian) like a_0 a_1 a_2 for a_0 + a_1 b_1 + a_2 b_1 b_2, etc. This is used in punycode, one aspect of which is the representation of a sequence of non-negative integers of arbitrary size in the form of a sequence without delimiters, of "digits" from a collection of 36: a–z and 0–9, representing 0–25 and 26–35 respectively. A digit lower than a threshold value marks that it is the most- significant digit, hence the end of the number. The threshold value depends on the position in the number.

Double-precision floating-point format (sometimes called FP64) is a computer number format, usually occupying 64 bits in computer memory; it represents a wide dynamic range of numeric values by using a floating radix point. Floating point is used to represent fractional values, or when a wider range is needed than is provided by fixed point (of the same bit width), even if at the cost of precision. Double precision may be chosen when the range or precision of single precision would be insufficient. In the IEEE 754-2008 standard, the 64-bit base-2 format is officially referred to as binary64; it was called double in IEEE 754-1985.

Chapman & Hall, 2008. and Batcher's bitonic merge sort has an algorithmic complexity of O(log2(n)), all of which have a lower algorithmic time complexity to radix sort on a CREW-PRAM. The fastest known PRAM sorts were described in 1991 by David Powers with a parallelized quicksort that can operate in O(log(n)) time on a CRCW-PRAM with n processors by performing partitioning implicitly, as well as a radixsort that operates using the same trick in O(k), where k is the maximum keylength.David M. W. Powers, Parallelized Quicksort and Radixsort with Optimal Speedup, Proceedings of International Conference on Parallel Computing Technologies. Novosibirsk. 1991.

The first mentions of the relation of inversion between triads appears in Otto Sigfried Harnish’s Artis musicae (1608), which describes perfect triads in which the lower note of the fifth is expressed in its own position, and imperfect ones, in which the base (i.e., root) of the chord appears only higher. Johannes Lippius, in his Disputatio musica tertia (1610) and Synopsis musicae novae (1612), is the first to use the term "triad" (trias harmonica); he also uses the term "root" (radix), but in a slightly different meaning.Joel Lester, "Root-Position and Inverted Triads in Theory around 1600", Journal of the American Musicological Society 27/1 (Spring 1974), pp. 113-116.

IEEE 754-2008 (previously known as IEEE 754r) was published in August 2008 and is a significant revision to, and replaces, the IEEE 754-1985 floating-point standard, while in 2019 it was updated with a minor revision IEEE 754-2019. The 2008 revision extended the previous standard where it was necessary, added decimal arithmetic and formats, tightened up certain areas of the original standard which were left undefined, and merged in IEEE 854 (the radix- independent floating-point standard). In a few cases, where stricter definitions of binary floating-point arithmetic might be performance- incompatible with some existing implementation, they were made optional.

The stories, "The Adventures of Yaakov and Isaac", were based on biblical references but were not Bible stories. Kubert made a return to writing and drawing in 1991 with the Abraham Stone graphic novel Country Mouse, City Rat for Malibu Comics' Platinum Editions. He returned to the character for two more stories, Radix Malorum and The Revolution published by Epic Comics in 1995. Also for Epic Comics, he delivered the four-issue Tor miniseries in 1993. Fax from Sarajevo, initially released as a 207-page hardcover book in 1996 and two years later as a 224-page trade paperback was published by Dark Horse Comics.

41 although certain monarchs, notably King John (1199–1216) purported to grant the Kingdom of England to Pope Innocent III, who would thus have become overlord to English monarchs. A paramount lord may then be seen to occupy the apex of the feudal pyramid, or the root of the feudal tree, and such allodial title is also termed "radical title" (from Latin radix, root), "ultimate title" and "final title". William the Conqueror immediately set about granting tenancies on his newly won lands, in accordance with feudal principles. The monarch's immediate tenants were the tenants-in-chief, usually military magnates, who held the highest status in feudal society below the monarch.

Smaller and less expensive (US$595 $525 in 1984 ≈ $990 in 2005 (see Inflation Conversion Factors for Dollars ) MSRP) than the preceding model HP-75, the 71B had a single-line 22-character liquid crystal display, 64K system ROM and 17.5K user memory. It operated on four AAA batteries. Four plug-in ports permitted ROM- based programs or additional user memory to be added. Separate compartments could accommodate an optional magnetic card reader and an optional HP-IL interface (HP 82401A) that could be used to connect printers, storage and electronic test equipment. The 71B was the first handheld to implement the IEEE _854-1987 radix-independent floating-point standard.

Eastern Standard Time in New York City, New York, USA (Longitude: 074W00'23" - Latitude: 40N42'51") A horoscope is an astrological chart or diagram representing the positions of the Sun, Moon, planets, astrological aspects and sensitive angles at the time of an event, such as the moment of a person's birth. The word horoscope is derived from the Greek words ōra and scopos meaning "time" and "observer" (horoskopos, pl. horoskopoi, or "marker(s) of the hour"). Other commonly used names for the horoscope in English include natal chart, astrological chart, astro-chart, celestial map, sky-map, star- chart, cosmogram, vitasphere, radical chart, radix, chart wheel or simply chart.

There are FFT algorithms other than Cooley–Tukey. Cornelius Lanczos did pioneering work on the FFT and FFS (fast Fourier sampling method) with G. C. Danielson (1940). For N = N1N2 with coprime N1 and N2, one can use the prime-factor (Good–Thomas) algorithm (PFA), based on the Chinese remainder theorem, to factorize the DFT similarly to Cooley–Tukey but without the twiddle factors. The Rader–Brenner algorithm (1976) is a Cooley–Tukey-like factorization but with purely imaginary twiddle factors, reducing multiplications at the cost of increased additions and reduced numerical stability; it was later superseded by the split-radix variant of Cooley–Tukey (which achieves the same multiplication count but with fewer additions and without sacrificing accuracy).

An interesting result for algorithms of this general type (splitting based on the radix, then comparison-based sorting) is that they are O(n) for any bounded and integrable probability density function. This result can be obtained by forcing Spreadsort to always iterate one more time if the bin size after the first iteration is above some constant value. If the key density function is known to be Riemann integrable and bounded, this modification of Spreadsort can attain some performance improvement over the basic algorithm, and will have better worst-case performance. If this restriction cannot usually be depended on, this change will add a little extra runtime overhead to the algorithm and gain little.

DMS has been used to implement a wide variety of practical tools, include domain- specific languages (such as code generation for factory control), test coverageBranch Coverage for Arbitrary Languages Made Easy and profiling tools, clone detection, language migration tools, C++ component reengineering., and for research into difficult topics such as refactoring C++ reliably.Small Business Innovation Research (DoE): Refactor++ The toolkit provides means for defining language grammars and will produce parsers which automatically construct abstract syntax trees (ASTs), and prettyprinters to convert original or modified ASTs back into compilable source text. The parse trees capture, and the prettyprinters regenerate, complete detail about the original source program, including source position, comments, radix and format of numbers, etc.

Zacuto developed a new type of astrolabe, specialized for practical determination of latitude while at sea, in contrast to earlier multipurpose devices intended for use ashore. Abraham Zacuto's principal claim to fame is the great astronomical treatise, written while he was in Salamanca, in Hebrew, with the title Ha-ḥibbur ha-gadol ("The Great Book"), begun around 1470 and completed in 1478."Zacuto, Abraham" in Glick, T., S.J. Livesy and F. Williams, editors, (2005) Medieval science, technology, and medicine: an encyclopedia, New York Routledge. It was composed of 65 detailed astronomical tables (ephemerides), with radix set in year 1473 and the meridian at Salamanca, charting the positions of the Sun, Moon and five planets.

A simple construction for a Salem–Spencer set (of size considerably smaller than Behrend's bound) is to choose the ternary numbers that use only the digits 0 and 1, not 2. Such a set must be progression-free, because if two of its elements x and y are the first and second members of an arithmetic progression, the third member must have the digit two at the position of the least significant digit where x and y differ. The illustration shows a set of this form, for the three-digit ternary numbers (shifted by one to make the smallest element 1 instead of 0). Behrend's construction uses a similar idea, for a larger odd radix 2d-1.

Peano curve with the middle line erased creates a Sierpinski carpet In the definition of the Peano curve, it is possible to perform some or all of the steps by making the centers of each row of three squares be contiguous, rather than the centers of each column of squares. These choices lead to many different variants of the Peano curve. A "multiple radix" variant of this curve with different numbers of subdivisions in different directions can be used to fill rectangles of arbitrary shapes. The Hilbert curve is a simpler variant of the same idea, based on subdividing squares into four equal smaller squares instead of into nine equal smaller squares.

New America think tank in Washington, D.C. Several think tanks are developing radical centrist ideas more thoroughly than was done in the overview books. By the early 2000s these included Demos in Britain; the Cape York Institute for Policy and Leadership in Australia; and New America (formerly the New America Foundation) in the United States. New America was started by authors Ted Halstead and Michael Lind, as well as two others, to bring radical centrist ideas to Washington, D.C. journalists and policy researchers. In the 2010s, new think tanks began promoting radical centrist ideas. "Radix: Think Tank for the Radical Centre" was established in London in 2016; its initial board of trustees included former Liberal Democrat leader Nick Clegg.

The n-way mergesort algorithm also begins by distributing the list into n sublists and sorting each one; however, the sublists created by mergesort have overlapping value ranges and so cannot be recombined by simple concatenation as in bucket sort. Instead, they must be interleaved by a merge algorithm. However, this added expense is counterbalanced by the simpler scatter phase and the ability to ensure that each sublist is the same size, providing a good worst-case time bound. Top- down radix sort can be seen as a special case of bucket sort where both the range of values and the number of buckets is constrained to be a power of two.

The Pardoner says to the pilgrims that by these tricks he has acquired a considerable sum of money of £100 a year. He goes on to relate how he stands like a clergy at the pulpit, and preaches against avarice but to gain the congregation's money; he doesn't care for the correction of sin or for their souls. Against anyone that offends either him or other pardoners, he will "stynge hym with my tonge smerte". Although he is guilty of avarice himself, he reiterates that his theme is always Radix malorum ... and that he can nonetheless preach so that others turn away from the vice and repent—though his "principal entente" is for personal gain.

A modern writer observes: "Hrotsvit's Thaïs became a prostitute because of her love of money. The root of her immorality is avarice, which in combination with her great beauty, resulted in her choice of prostitution as a career."Stephen L. Wailes, Spirituality and Politics in the Works of Hrotsvit of Gandersheim (Selingrove: Susquehanna University Press 2006), chapter on Thaïs at 181-189, above quote at 185. "The root of her lechery is her cupidity, radix enum luxuriae cupiditas, and so she has been the ruin of many men whose senuality led them down the path to poverty." Id. After her conversion to Christianity she "destroys" 400 pounds of gold and burns other articles of treasure before her former patrons.

65535` for 16-bit integers, for instance. However, each of these variables has its own stack on which it can be pushed and popped (STASHed and RETRIEVEd, in INTERCAL terminology), increasing the possible complexity of data structures. More modern versions of INTERCAL have by and large kept the same data structures, with appropriate modifications; TriINTERCAL, which modifies the radix with which numbers are represented, can use a 10-trit type rather than a 16-bit type, and CLC-INTERCAL implements many of its own data structures, such as "classes and lectures", by making the basic data types store more information rather than adding new types. Arrays are dimensioned by assigning to them as if they were a scalar variable.

Only one month after being built, Juan Casiano (then named Linerton) had an engine breakdown as she was travelling from the River Tyne to Baltimore, Maryland, United States on 9 November 1919. This resulted in her running aground near South Shields with no reported fatalities and she ultimately broke in two pieces. The bow was refloated on 6 April 1920 and the stern on 18 May 1920 after which both parts were towed to Rotterdam, The Netherlands to be converted into a tanker under a new owner and under the new name Radix. She changed hands once more before being sold to a new German owner Johann Haltermann in July 1939 which was accompanied by another name change Tine Asmussen.

After the French Revolution, the château de Neuilly belonged to Radix de Sainte-Foy, who sold it early in 1792 to Madame de Montesson. Under the French Consulate, she sold it to the businessmen Delannoy and Vandenberghe who rented it as a secondary residence to Talleyrand (who held magnificent fêtes there) before selling it to Murat at the start of 1804. Murat also acquired the château de Villiers and reunited the two estates, carrying out important works and expansions (notably adding two wings to the main château and holding sumptuous fêtes there, including one on the occasion of Napoleon I's coronation as king of Italy in 1805). Murat became king of Naples (1808), and all his goods reverted to being Imperial crown lands.

The bfloat16 (Brain Floating Point) floating-point format is a computer number format occupying 16 bits in computer memory; it represents a wide dynamic range of numeric values by using a floating radix point. This format is a truncated (16-bit) version of the 32-bit IEEE 754 single-precision floating- point format (binary32) with the intent of accelerating machine learning and near-sensor computing. It preserves the approximate dynamic range of 32-bit floating-point numbers by retaining 8 exponent bits, but supports only an 8-bit precision rather than the 24-bit significand of the binary32 format. More so than single-precision 32-bit floating-point numbers, bfloat16 numbers are unsuitable for integer calculations, but this is not their intended use.

In computing, a fixed-point number representation is a real data type for a number that has a fixed number of digits after (and sometimes also before) the radix point (after the decimal point '.' in English decimal notation). Fixed- point number representation can be compared to the more complicated (and more computationally demanding) floating-point number representation. Fixed-point numbers are useful for representing fractional values, usually in base 2 or base 10, when the executing processor has no floating point unit (FPU) as is the case for older or low-cost embedded microprocessors and microcontrollers, if fixed-point provides improved performance or accuracy for the application at hand, or if their use is more natural for the problem (such as for the representation of angles).

MSD radix sort can be implemented as a stable algorithm, but requires the use of a memory buffer of the same size as the input array. This extra memory allows the input buffer to be scanned from the first array element to last, and move the array elements to the destination bins in the same order. Thus, equal elements will be placed in the memory buffer in the same order they were in the input array. The MSD-based algorithm uses the extra memory buffer as the output on the first level of recursion, but swaps the input and output on the next level of recursion, to avoid the overhead of copying the output result back to the input buffer.

Its worst-case time complexity is : each step of the algorithm may be performed in time using a variant of radix sort to reorder the states so that states in the same set of the new partition are consecutive in the ordering, and there are at most steps since each one but the last increases the number of sets in the partition. The instances of the DFA minimization problem that cause the worst- case behavior are the same as for Hopcroft's algorithm. The number of steps that the algorithm performs can be much smaller than , so on average (for constant ) its performance is or even depending on the random distribution on automata chosen to model the algorithm's average-case behavior.

It was described by Meriwether Lewis close to Kamiah, Idaho during the Lewis and Clark expedition and it was subsequently brought back as a botanical specimen. The discovery was first described on May 28, 1806 by William Clark and subsequently by Lewis on June 1, 1806 in a journal entry stating that: > I met with a singular plant today in blume of which I preserved a specemine; > it grows on the steep sides of the fertile hills near this place, the radix > is fibrous, not much branched, annual, woody, white and nearly smooth. the > stem is simple branching ascending, 2½ feet high celindric, villose and of a > pale red colour. the branches are but few and those near its upper > extremity.

Argon ST logo before Boeing acquisition Argon ST was created with the merger of SenSyTech, Inc. and Argon Engineering Associates on September 29, 2004. In August 2006, Argon ST acquired Innovative Research, Ideas & Services Corporation (IRIS), the authors of the sensor fusion software Transducer Markup Language (TML). On July 3, 2006, Argon ST completed the acquisition of San Diego Research Center Incorporated (SDRC), achieving a corporate goal of being able to provide an end-to-end sensor system. Specifically, SDRC’s wireless communication technologies address the challenges of mobile military systems. On October 1, 2005, Argon ST acquired Radix Technologies, bringing in signal processing technology for reconnaissance and navigation, complementing Argon ST’s core advanced signal intercept and processing capabilities and systems.

RT-11 implemented a simple and fast file system employing six-character filenames with three- character extensions ("6.3") encoded in RADIX-50, which packed those nine characters into only three 16-bit words (six bytes). All files were contiguous, meaning that each file occupied consecutive blocks (the minimally addressable unit of disk storage, 512 bytes) on the disk. This meant that an entire file could be read (or written) very quickly. A side effect of this file system structure was that, as files were created and deleted on a volume over time, the unused disk blocks would likely not remain contiguous, which could become the limiting factor in the creation of large files; the remedy was to periodically “squeeze” (or "squish") a disk to consolidate the unused portions.

In mathematics, and particularly in the theory of formal languages, shortlex is a total ordering for finite sequences of objects that can themselves be totally ordered. In the shortlex ordering, sequences are primarily sorted by cardinality (length) with the shortest sequences first, and sequences of the same length are sorted into lexicographical order. Shortlex ordering is also called radix, length-lexicographic, military, or genealogical ordering.. In the context of strings on a totally ordered alphabet, the shortlex order is identical to the lexicographical order, except that shorter strings precede longer strings. For example, the shortlex order of the set of strings on the English alphabet (in its usual order) is [ε, a, b, c, ..., z, aa, ab, ac, ..., zz, aaa, aab, aac, ..., zzz, ...], where ε denotes the empty string.

The three-way radix quicksort algorithm sorts an array of (pointers to) strings in lexicographic order. It is assumed that all strings are of equal length ; if the strings are of varying length, they must be padded with extra elements that are less than any element in the strings. The pseudocode for the algorithm is then algorithm sort(a : array of string, d : integer) is if length(a) ≤ 1 or d ≥ K then return p := pivot(a, d) i, j := partition(a, d, p) (Note a simultaneous assignment of two variables.) sort(a[0:i), d) sort(a[i:j), d + 1) sort(a[j:length(a)), d) The function must return a single character. Bentley and Sedgewick suggest either picking the median of or some random character in that range.

The Cantor set consists of the points from 0 to 1 that have a ternary expression that does not contain any instance of the digit 1. Any terminating expansion in the ternary system is equivalent to the expression that is identical up to the term preceding the last non-zero term followed by the term one less than the last nonzero term of the first expression, followed by an infinite tail of twos. For example: 0.1020 is equivalent to 0.1012222... because the expansions are the same until the "two" of the first expression, the two was decremented in the second expansion, and trailing zeros were replaced with trailing twos in the second expression. Ternary is the integer base with the lowest radix economy, followed closely by binary and quaternary.

In Ada, C# (from version 7.0), D, Eiffel, Haskell (from GHC version 8.6.1), Java (from version 7), Julia, Perl, Python (from version 3.6), Ruby, Rust and Swift, integer literals and float literals can be separated with an underscore (`_`). There can be some restrictions on placement; for example, in Java they cannot appear at the start or end of the literal, nor next to a decimal point. Note that while the period, comma, and (thin) spaces are used in normal writing for digit separation, these conflict with their existing use in programming languages as radix point, list separator (and in C/C++, the comma operator), and token separator. Examples include: int oneMillion = 1_000_000; int creditCardNumber = 1234_5678_9012_3456; int socialSecurityNumber = 123_45_6789; In C++14 (2014), the apostrophe character may be used to separate digits arbitrarily in numeric literals.

So he and his friends stood at the helm of a reformation movement that was already there in the church pioneered by Abraham Malpan, a practice of bringing the church to its radix form as Bible Principles. His whole time he spent in bringing his Church to the Bible and to its "original purity" as evoked by Abraham Malpan.Chacko T. C. (1936) Malankara Marthoma Sabha Charitram Page 95 and the letter sent out on 13 September 1875 by more than 20 clergy, use this term In 1856 inspired by the Anglican missionaries cooperated in the Old Syrian Seminary at Kottayam, he printed and distributed prayer books in Malayalam, leaving out a prayer to Saint Mary. Holy Communion services were conducted in Malayalam the language of the people of Malabar.

By sorting the list or array then selecting the desired element, selection can be reduced to sorting. This method is inefficient for selecting a single element, but is efficient when many selections need to be made from an array, in which case only one initial, expensive sort is needed, followed by many cheap selection operations – O(1) for an array, though selection is O(n) in a linked list, even if sorted, due to lack of random access. In general, sorting requires O(n log n) time, where n is the length of the list, although a lower bound is possible with non- comparative sorting algorithms like radix sort and counting sort. Rather than sorting the whole list or array, one can instead use partial sorting to select the k smallest or k largest elements.

After the collapse of Napoleon's empire in 1815, a reactionary Bourbon Restoration took place. The left-wing opposition was constituted by the broad family of Republicans, but these differed over whether and how far to cooperate with liberal-constitutional monarchists in pursuit of their common adversary. In contrast to the Republicans' right-wing (then the centre-left of the political spectrum), who were more inclined to accept a socially-conservative constitutional monarchy as the first stage to a republic, the Republicans' left-wing took a hard line in advocating progressive reforms such as universal manhood suffrage, civil liberties (press freedom and right to assembly, among others) and the immediate installation of a republican constitution. From their root-and-branch demands, they came to be termed Radical Republicans from the Latin radix, meaning "root".

Quake was the only game to rival Doom as the most popular game to speedrun. People first started recording demos of Quake playthroughs when it was released in June 1996 and sharing them with others on the `demos/e` directory in Cdrom.com's Quake file hierarchy. There were two distinct kinds of demos: those in which the player killed all monsters and found all secrets on the map (called 100% demos) and those in which the player ignored these goals in order to finish the level as fast as possible (called runs). All levels were, at that time, recorded solely on the “Nightmare” difficulty level, the highest in the game. In April 1997, Nolan “Radix” Pflug first started the Nightmare Speed Demos web site to keep track of the fastest demos.

In computer science, integer sorting is the algorithmic problem of sorting a collection of data values by integer keys. Algorithms designed for integer sorting may also often be applied to sorting problems in which the keys are floating point numbers, rational numbers, or text strings.. The ability to perform integer arithmetic on the keys allows integer sorting algorithms to be faster than comparison sorting algorithms in many cases, depending on the details of which operations are allowed in the model of computing and how large the integers to be sorted are. Integer sorting algorithms including pigeonhole sort, counting sort, and radix sort are widely used and practical. Other integer sorting algorithms with smaller worst-case time bounds are not believed to be practical for computer architectures with 64 or fewer bits per word.

Most Algonquian languages are similar enough that their relatedness has been recognized for centuries and was commented on by the early English and French colonists and explorers. For example, in 1787 (over a decade before Sir William Jones' famous speech on Indo-European), the theologian and linguist Jonathan Edwards Jr. deduced that the Algonquian languages of the eastern and central United States were "radically the same" ('radically' meaning having a common 'root', since radix is Latin for 'root'), and contrasted them with the neighboring Iroquoian languages. The earliest work on reconstructing the Algonquian proto-language was undertaken by the linguists Truman Michelson and Leonard Bloomfield. In 1925 Bloomfield reconstructed what he called "Primitive Central Algonquian", using what were at the time the four best-attested Algonquian languages: Fox, Ojibwe, Menominee, and Plains Cree.

A locksmith by the name of François Gamain helped reveal these documents to the authorities, who rewarded him with a government pension. The cabinet hid correspondence between Louis XVI and, among others, Mirabeau, whose venality and duplicity were exposed. Also, the cabinet included the correspondence of the king with the financier Maximilien Radix de Sainte-Foix, an important secret advisor of the sovereign; with the bankers Joseph Duruey, and Tourteau de Septeuil; with Arnaud Laporte, a Royalist government minister who controlled large funds of money during the revolution; with François de Bonal, Bishop of Clermont, et al. Most of the pieces of correspondence in the cabinet involved ministers of Louis XVI (Montmorin, Valdec Lessart, Bertrand de Molleville, Count of Narbonne, Cahier de Gerville, Charles François Dumouriez, et al.).

Different comparison sort algorithms can be compared using these metrics, but for useful comparison with non-comparison sorting algorithms, such as radix sort, a different metric must be used, and the set of elements must be restricted. Because disk operations are orders of magnitude slower than accesses to main memory, the typical metric used in disk-based algorithms is the number of disk seeks or the number of blocks read from the disk, which depend on both the input and the parameters of the disk. RAM accesses and CPU operations are "free." Similarly, in many models used to study data structures, such as the cache-oblivious model, operations on cached data are considered "free" because they are typically orders of magnitude faster in practice than access to main memory.

The bcrypt algorithm involves repeatedly encrypting the 24-byte text: `OrpheanBeholderScryDoubt` (24-bytes) This generates 24-bytes of ciphertext, e.g.: `85 20 af 9f 03 3d b3 8c 08 5f d2 5e 2d aa 5e 84 a2 b9 61 d2 f1 29 c9 a4` (24-bytes) Which then should get radix-64 encoded to 32-characters: `hSCvnwM9s4wIX9JeLapehKK5YdLxKcmk` (32-characters) But the canonical OpenBSD implementation truncates password hash to 23 bytes: `85 20 af 9f 03 3d b3 8c 08 5f d2 5e 2d aa 5e 84 a2 b9 61 d2 f1 29 c9` ~~a4~~ (23-bytes) and the resulting base-64 encoded text, which normally would be: hSCvnwM9s4wIX9JeLapehKK5YdLxKck= has the trailing = removed, leaving a hash of: hSCvnwM9s4wIX9JeLapehKK5YdLxKck It is unclear why the canonical implementation deletes 8-bits from the resulting password hash.

Penis of a human, with pubic hair removed to show anatomical detail The human penis is an external sex organ of male humans. It is a reproductive, intromittent organ that additionally serves as the urinal duct. The main parts are the root of the penis (radix): It is the attached part, consisting of the bulb of penis in the middle and the crus of penis, one on either side of the bulb; the body of the penis (corpus); and the epithelium of the penis consists of the shaft skin, the foreskin, and the preputial mucosa on the inside of the foreskin and covering the glans penis. The human penis is made up of three columns of tissue: two corpora cavernosa lie next to each other on the dorsal side and one corpus spongiosum lies between them on the ventral side.

All known FFT algorithms require Θ(N \log N) operations, although there is no known proof that a lower complexity score is impossible. To illustrate the savings of an FFT, consider the count of complex multiplications and additions for N=4096 data points. Evaluating the DFT's sums directly involves N2 complex multiplications and N(N − 1) complex additions, of which O(N) operations can be saved by eliminating trivial operations such as multiplications by 1, leaving about 30 million operations. On the other hand, the radix-2 Cooley–Tukey algorithm, for N a power of 2, can compute the same result with only (N/2)log2(N) complex multiplications (again, ignoring simplifications of multiplications by 1 and similar) and N log2(N) complex additions, in total about 30,000 operations - a thousand times less than with direct evaluation.

Also, giving an angle in degrees, minutes and seconds (with decimals), or a time in days, hours, minutes and seconds, can be interpreted as mixed-radix systems. Sequences where each weight is not an integral multiple of the previous weight may also be used, but then every integer may not have a unique representation. For example, Fibonacci coding uses the digits 0 and 1, weighted according to the Fibonacci sequence (1, 2, 3, 5, 8, ...); a unique representation of all non-negative integers may be ensured by forbidding consecutive 1s. Binary-coded decimal (BCD) are mixed base systems where bits (binary digits) are used to express decimal digits. E.g., in 1001 0011, each group of four bits may represent a decimal digit (in this example 9 and 3, so the eight bits combined represent decimal 93).

Each digit of the product depends only on a neighborhood of two digits in the given number: the digit in the same position and the digit one position to the right. More generally, multiplication or division of doubly infinite digit sequences in any radix , by a multiplier or divisor all of whose prime factors are also prime factors of , is an operation that forms a cellular automaton because it depends only on a bounded number of nearby digits, and is reversible because of the existence of multiplicative inverses., p. 1093. Multiplication by other values (for instance, multiplication of decimal numbers by three) remains reversible, but does not define a cellular automaton, because there is no fixed bound on the number of digits in the initial value that are needed to determine a single digit in the result.

The prime-factor algorithm (PFA), also called the Good–Thomas algorithm (1958/1963), is a fast Fourier transform (FFT) algorithm that re-expresses the discrete Fourier transform (DFT) of a size N = N1N2 as a two-dimensional N1×N2 DFT, but only for the case where N1 and N2 are relatively prime. These smaller transforms of size N1 and N2 can then be evaluated by applying PFA recursively or by using some other FFT algorithm. PFA should not be confused with the mixed-radix generalization of the popular Cooley–Tukey algorithm, which also subdivides a DFT of size N = N1N2 into smaller transforms of size N1 and N2. The latter algorithm can use any factors (not necessarily relatively prime), but it has the disadvantage that it also requires extra multiplications by roots of unity called twiddle factors, in addition to the smaller transforms.

Alan V. Oppenheim, Ronald W. Schafer, and John R. Buck, Discrete-Time Signal Processing, 2nd edition (Upper Saddle River, NJ: Prentice Hall, 1989) The earliest occurrence in print of the term is thought to be in a 1969 MIT technical report. The same structure can also be found in the Viterbi algorithm, used for finding the most likely sequence of hidden states. Most commonly, the term "butterfly" appears in the context of the Cooley–Tukey FFT algorithm, which recursively breaks down a DFT of composite size n = rm into r smaller transforms of size m where r is the "radix" of the transform. These smaller DFTs are then combined via size-r butterflies, which themselves are DFTs of size r (performed m times on corresponding outputs of the sub- transforms) pre-multiplied by roots of unity (known as twiddle factors).

The most commonly found public relations photo of Skipjack The boat's motto was Radix Nova Tridentis, meaning "Root of the New Sea Power"; and correctly so, as every US attack submarine until 1988 (when the diving planes moved back to the bow on the improved Los Angeles class) turned out to follow the Skipjack's design. After being launched 26 May 1958, Skipjack was soon dubbed the "world's fastest submarine", after setting the speed record on sea trials in March of the following year. It was designed to have a speed in excess of 20 knots, but its actual speed was a guarded secret. However, the rated reactor power in shaft horsepower (15,000 shp) and reasonable assumptions about the hull's coefficient of drag, cross sectional area, and appendage drag can be combined via algebra to show that the vessel should have reached 31 knots submerged.

Pigeonhole sort, counting sort, radix sort, and Van Emde Boas tree sorting all work best when the key size is small; for large enough keys, they become slower than comparison sorting algorithms. However, when the key size or the word size is very large relative to the number of items (or equivalently when the number of items is small), it may again become possible to sort quickly, using different algorithms that take advantage of the parallelism inherent in the ability to perform arithmetic operations on large words. An early result in this direction was provided by using the cell-probe model of computation (an artificial model in which the complexity of an algorithm is measured only by the number of memory accesses it performs). Building on their work, described two data structures, the Q-heap and the atomic heap, that are implementable on a random access machine.

The lyrics included within Christ I selection expand upon antiphons known as the “O Antiphons”, which receive their name because they all begin with the Latin interjection “O”. An antiphon is a verse from the Holy Scripture that is to be sung before and after the reading of a psalm (Otten 1). The verse selected for the antiphon is chosen to reflect the fundamental ideas presented during the psalm. Seven of the antiphons in Christ I have come to be known as the “Seven Greater Antiphons” for their use in the Magnificat. The opening interjections of the “Seven Greater Antiphons” include, "O Sapientia", "O Adonai", "O Radix Jesse", "O Clavis David", "O Oriens", "O Rex Gentium", and "O Emmanuel". The remainder of the antiphons used in Christ I had come to be included with the “Greater Antiphons”: “O Virgo virginum”, “O Gabriel”, “O Rex pacifice”, “O Mundi Domina”, and “O Hierusalem”.

Addition in other bases is very similar to decimal addition. As an example, one can consider addition in binary.Dale R. Patrick, Stephen W. Fardo, Vigyan Chandra (2008) Electronic Digital System Fundamentals The Fairmont Press, Inc. p. 155 Adding two single-digit binary numbers is relatively simple, using a form of carrying: :0 + 0 → 0 :0 + 1 → 1 :1 + 0 → 1 :1 + 1 → 0, carry 1 (since 1 + 1 = 2 = 0 + (1 × 21)) Adding two "1" digits produces a digit "0", while 1 must be added to the next column. This is similar to what happens in decimal when certain single-digit numbers are added together; if the result equals or exceeds the value of the radix (10), the digit to the left is incremented: :5 + 5 → 0, carry 1 (since 5 + 5 = 10 = 0 + (1 × 101)) :7 + 9 → 6, carry 1 (since 7 + 9 = 16 = 6 + (1 × 101)) This is known as carrying.

Single-precision floating-point format (sometimes called FP32) is a computer number format, usually occupying 32 bits in computer memory; it represents a wide dynamic range of numeric values by using a floating radix point. A floating-point variable can represent a wider range of numbers than a fixed- point variable of the same bit width at the cost of precision. A signed 32-bit integer variable has a maximum value of 231 − 1 = 2,147,483,647, whereas an IEEE 754 32-bit base-2 floating-point variable has a maximum value of (2 − 2−23) × 2127 ≈ 3.4028235 × 1038. All integers with 7 or fewer decimal digits, and any 2n for a whole number −149 ≤ n ≤ 127, can be converted exactly into an IEEE 754 single-precision floating-point value. In the IEEE 754-2008 standard, the 32-bit base-2 format is officially referred to as binary32; it was called single in IEEE 754-1985.

In computer science, counting sort is an algorithm for sorting a collection of objects according to keys that are small integers; that is, it is an integer sorting algorithm. It operates by counting the number of objects that have each distinct key value, and using arithmetic on those counts to determine the positions of each key value in the output sequence. Its running time is linear in the number of items and the difference between the maximum and minimum key values, so it is only suitable for direct use in situations where the variation in keys is not significantly greater than the number of items. However, it is often used as a subroutine in another sorting algorithm, radix sort, that can handle larger keys more efficiently.. See also the historical notes on page 181... Because counting sort uses key values as indexes into an array, it is not a comparison sort, and the Ω(n log n) lower bound for comparison sorting does not apply to it.

The prologue takes the form of a literary confession in the same manner as The Wife of Bath's Prologue. However, rather than an apology for his vices, the Pardoner boasts of his duping of his victims, for whom he has nothing but contempt. He says that his "theme"—biblical text for a sermon—is Radix malorum est cupiditas ("Greed is the root of [all] evils" 1 Timothy 6.10). He explains that his false credentials consist of official letters from high-ranking church officials and a superficial use of a few Latin words; then he will produce some "relics", and claim that among them is a bone which has miraculous powers when dipped into a well and a mitten for which: :He that his hand wol putte in this mitayn, :He shal have multipliyng of his greyn, (lines 373–374) But he will warn that any person that "hath doon synne horrible" will not be able to benefit from these relics.

Even greater potential SIMD advantages (more consecutive accesses) have been proposed for the Pease algorithm, which also reorders out- of-place with each stage, but this method requires separate bit/digit reversal and O(N log N) storage. One can also directly apply the Cooley–Tukey factorization definition with explicit (depth-first) recursion and small radices, which produces natural-order out-of-place output with no separate permutation step (as in the pseudocode above) and can be argued to have cache- oblivious locality benefits on systems with hierarchical memory. A free (GPL) C library for computing discrete Fourier transforms in one or more dimensions, of arbitrary size, using the Cooley–Tukey algorithm A typical strategy for in- place algorithms without auxiliary storage and without separate digit-reversal passes involves small matrix transpositions (which swap individual pairs of digits) at intermediate stages, which can be combined with the radix butterflies to reduce the number of passes over the data.

Input list (base 10): :[170, 45, 75, 90, 2, 802, 2, 66] Starting from the rightmost (last) digit, sort the numbers based on that digit: :[{17 _0_ , 9 _0_ }, {0 _2_ , 80 _2_ , 0 _2_ }, {4 _5_ , 7 _5_ }, {6 _6_ }] :Notice that a 0 is prepended for the two 2s so that 802 maintains its relative order as in the previous list (i.e. placed before the second 2) based on the merit of the second digit. Sorting by the next left digit: :[{ _0_ 2, 8 _0_ 2, _0_ 2}, { _4_ 5}, { _6_ 6}, {1 _7_ 0, _7_ 5}, { _9_ 0}] And finally by the leftmost digit: :[{ _0_ 02, _0_ 02, _0_ 45, _0_ 66, _0_ 75, _0_ 90}, { _1_ 70}, { _8_ 02}] Each step requires just a single pass over the data, since each item can be placed in its bucket without comparison with any other element. Some radix sort implementations allocate space for buckets by first counting the number of keys that belong in each bucket before moving keys into those buckets.

For the case of power-of-two N, Papadimitriou (1979) argued that the number N \log_2 N of complex-number additions achieved by Cooley–Tukey algorithms is optimal under certain assumptions on the graph of the algorithm (his assumptions imply, among other things, that no additive identities in the roots of unity are exploited). (This argument would imply that at least 2N \log_2 N real additions are required, although this is not a tight bound because extra additions are required as part of complex-number multiplications.) Thus far, no published FFT algorithm has achieved fewer than N \log_2 N complex-number additions (or their equivalent) for power-of-two N. A third problem is to minimize the total number of real multiplications and additions, sometimes called the "arithmetic complexity" (although in this context it is the exact count and not the asymptotic complexity that is being considered). Again, no tight lower bound has been proven. Since 1968, however, the lowest published count for power-of- two N was long achieved by the split-radix FFT algorithm, which requires 4N\log_2(N) - 6N + 8 real multiplications and additions for N > 1.

He devised a cumbersome notation for doing that. In Liber III, Caput III: De Algorithmo numerorum Cossicorum (Book 3, Chapter 3: On Algorithms of Algebra), on page 235 verso, he presented the notation for the first eight terms of a geometric progression (using 1 as a base) and then he wrote: "Quemadmodum autem hic vides, quemlibet terminum progressionis cossicæ, suum habere exponentem in suo ordine (ut 1ze habet 1. 1ʓ habet 2 &c.;) sic quilibet numerus cossicus, servat exponentem suæ denominationis implicite, qui ei serviat & utilis sit, potissimus in multiplicatione & divisione, ut paulo inferius dicam." (However, you see how each term of the progression has its exponent in its order (as 1ze has a 1, 1ʓ has a 2, etc.), so each number is implicitly subject to the exponent of its denomination, which [in turn] is subject to it and is useful mainly in multiplication and division, as I will mention just below.) [Note: Most of Stifel's cumbersome symbols were taken from Christoff Rudolff, who in turn took them from Leonardo Fibonacci's Liber Abaci (1202), where they served as shorthand symbols for the Latin words res/radix (x), census/zensus (x2), and cubus (x3).

Counting sort is an integer sorting algorithm that uses the prefix sum of a histogram of key frequencies to calculate the position of each key in the sorted output array. It runs in linear time for integer keys that are smaller than the number of items, and is frequently used as part of radix sort, a fast algorithm for sorting integers that are less restricted in magnitude. List ranking, the problem of transforming a linked list into an array that represents the same sequence of items, can be viewed as computing a prefix sum on the sequence 1, 1, 1, ... and then mapping each item to the array position given by its prefix sum value; by combining list ranking, prefix sums, and Euler tours, many important problems on trees may be solved by efficient parallel algorithms.. An early application of parallel prefix sum algorithms was in the design of binary adders, Boolean circuits that can add two -bit binary numbers. In this application, the sequence of carry bits of the addition can be represented as a scan operation on the sequence of pairs of input bits, using the majority function to combine the previous carry with these two bits.

Standard-tolerance surface-mount technology (SMT) resistors are marked with a three-digit code, in which the first two digits are the first two significant digits of the value and the third digit is the power of ten (the number of zeroes). For example: : 334 = 33 × 104 Ω = 330 kΩ : 222 = 22 × 102 Ω = 2.2 kΩ : 473 = 47 × 103 Ω = 47 kΩ : 105 = 10 × 105 Ω = 1 MΩ Resistances less than 100 Ω are written: 100, 220, 470. The final zero represents ten to the power zero, which is 1\. For example: : 100 = 10 × 100 Ω = 10 Ω : 220 = 22 × 100 Ω = 22 Ω Sometimes these values are marked as 10 or 22 to prevent a mistake. Resistances less than 10 Ω have 'R' to indicate the position of the decimal point (radix point). For example: : 4R7 = 4.7 Ω : R300 = 0.30 Ω : 0R22 = 0.22 Ω : 0R01 = 0.01 Ω Precision resistors are marked with a four-digit code, in which the first three digits are the significant figures and the fourth is the power of ten. For example: : 1001 = 100 × 101 Ω = 1.00 kΩ : 4992 = 499 × 102 Ω = 49.9 kΩ : 1000 = 100 × 100 Ω = 100 Ω 000 and 0000 sometimes appear as values on surface-mount zero-ohm links, since these have (approximately) zero resistance. More recent surface-mount resistors are too small, physically, to permit practical markings to be applied.