This vague, shady mission turns out to be a set-up.
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"To me that means there can't be a set," he said.
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There won't be a set schedule because everything will be on demand.
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"There will no longer be a set level of enrichment," he said.
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What he's creating in "Endless" turns out to be a set of stairs.
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There needs to be a set of uniform rules, at least within a party.
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There was going to be a set of solutions to come out of that.
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The ideal would be a set of norms for states and funders to adhere to.
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There did not seem to be a set game plan for people entering the country.
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It has to be a set of processes that can flexibly accommodate every vertical over time.
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CAVUTO: The credit idea would be a set dollar amount, or would adjust for different income groups?
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It could be a set-up for one of the fastest-growing scams in America – affinity fraud.
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It would be a set of rules, ultimately, that they would be applying to my email accounts.
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A more likely response will be a set of very difficult decisions to reduce staff or services.
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All this, of course, may be a set of coincidences, signifying nothing; but the probability points the other way.
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From the looks of it, these upcoming short films will be a set of really exciting science fiction films.
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The controllers' single coolest feature, though, may be a set of capacitive sensors that detect how you're holding them.
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On what appeared to be a set dining room table, two tall, tapered candles in silver holders were lit.
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"Waiting until the last minute to file will potentially be a set up for things to go wrong," Susannah says.
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There are 10 guidelines on the monument written in eight languages, which seem to be a set of rules for humans.
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The benchmark would instead be a set of technical standards that would, in effect, serve as a proxy for the predicate.
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"There's going to be a set aside of about 25 percent in this proposal for rural states," the Alaska senator added.
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On Saturday, firefighters found what appeared to be a set of human remains further up the street from O'Brien's two rental homes.
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Cambridge Analytica is a reminder that there will always be a set of scumbags out there just waiting to pervert everyone's good intentions.
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The moment should be a set piece for her, or at least a way for the audience to peek at her creative life.
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In his place and that of any other actors appearing on the show were supposed to be a set of rather unusual animated characters.
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The Con X: Covers will be a set of different influential artists such as CHVRCHES and Hayley Williams, covering old Tegan and Sara songs.
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Ruedi Hofmann, master printer for the photographer's magnum opus, "In the American West," understood that his payment would be a set of signed prints.
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Critics also say that while the hallucinations may help some patients process their past, they can be a set back under the wrong conditions.
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For harmful content, the CEO says there should be a set of rules that govern what types of content companies like Facebook should consider harmful.
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The Here One will be a set of truly wireless buds that can stream music and access phone-based assistants like Siri and Google Now.
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Wireless carriers consider it to be a multi-billion dollar opportunity, but there has yet to be a set standard for how 5G is defined.
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Game of Thrones, what with its constant violence, intense politics, and casual dragons, doesn't seem like it'd be a set abundant with hilarity and horsing around.
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A win for Alvarado Munoz would be a set back for gay rights in Latin America, where several countries have implemented progressive policies in recent years.
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That's what we always wanted Vox to be — a set of solid ideas about journalism executed by a big, deep, talented team — and that's what it is.
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For a liberal democracy like the United States to work as intended, there needs to be a set of legal procedures that govern how these contests work.
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There has to be a set of policies and procedures they adopt to make sure that the broker isn't recommending things just because they get paid for them.
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Rather than streaming, Tantan will focus on making money via membership services, which would be a set of additional features for 'VIP' users who pay a monthly fee.
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That's why it had an extra element of excitement to it, because we were being asked to be 65days, not to be a set of composers for hire.
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With a main street lined with white clapboard colonial buildings and a landmark steepled church, Norwich could be a set designer's rendering of a tiny New England village.
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A Monday theme might be a set of phrases that all have some commonality, but on a Tuesday, there may be hidden elements that solvers need to unearth.
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The banning of Thai Raksa Chart, one of several parties loyal to military-ousted ex-premier Thaksin Shinawatra, would be a set-back for opposition chances in the election.
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The RBI's action could be a set back to Lakshmi Vilas plans to merge operations with housing finance firm Indiabulls Housing Finance Ltd (IBHF) in a share-swap deal.
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Yet Bloomberg knows that under Sanders, there will at least be a set of institutions that can keep Sanders in check, or negotiate more moderate, palatable versions of his proposals.
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The most valuable stamps in the collection may be a set of four, 24-cent-stamps from 1869 that depict American artist John Trumbull's painting "Declaration of Independence" upside down.
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But I think that's up to activists, and there will be a set up for businesses that will make that clear, but it is really hard to pull off right now.
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After teams reach a certain amount of revenue generated per year there will be a set percentage sent to the league's shared-revenue pool, helping equal the playing field between cities.
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He imagines the more advanced consumer product to be a set of pajamas with built-in muscle sensors and a sleep cap with a chin strap to record dream movement and speech.
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"There's going to be a set of people who serve on this board who make different people within that group uncomfortable," Facebook's director of governance and global affairs Brent Harris told reporters.
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After the why, there may need to be a set of options if someone is not satisfied with the explanation and proceeds to do his own thing in spite of the ask.
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The rest, which includes at least one angel, a skeleton, clouds, and what appears to be a set of large windows is reminiscent of a scene from a Renaissance painting are all new.
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Yet what ought to be a set of straightforward tasks — avoid defaulting on the national debt and shutting down the federal government; pass an annual budget — instead is looking like an epic challenge.
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The worst outcome of a push to regulate big tech companies would be a set of rules that made it easier for people to exploit these companies' power, while leaving their fortresses intact.
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The product, set to be launched next year, will come with a voice-activated remote and will first be a set-top box, but it could turn into an app itself, the source said.
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"The greatest irony of this latest outpouring of populism may well be a set of policies which favor capital over labor, and look more Keynesian than neo-liberal," M&G Investments said on Wednesday.
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Asked whether there should be a set limit to any hikes in capital requirements, Eurogroup President Jeroen Dijsselbloem told reporters before an EU finance ministers' meeting that discussed the issue: "My approach is different".
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If we are truly going to end AIDS, there must be a set of responses that meet the scope and force of the structural violence that has made AIDS look the way it does.
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For many, the reverse mode will be the only setting they'll need to adjust from time to time — the new Dyson Pure Cool is definitely designed to be a "set it and forget it" device.
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Drivers would not be able to choose to sign off whenever they wanted to because there would be a set time that they would have to work, they would not be able to do that.
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The composition and use of color encourage us to perceive what could be a set of Venetian blinds as a chromatic range of yellow to blue to red, viewing the linear "blinds" as modular and inconsistent.
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Image: USPTOIn the patent, first reported by Patently Apple, Apple describes a curved display wrapping around the edges to for active sidewalls with "virtual buttons" or what appears to be a set of customizable touch-capacitive buttons.
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"Short term regulatory scrutiny may be a set-back to crypto prices, but long term professional investors need better regulation and more clear guidance regarding the crypto space," Gabor Gurbacs, director, digital assets strategy at VanEck, said.
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Those seeds are mainly sold in North and South America but a ban on glyphosate in Bayer's home market would still be a set-back in its struggle to gain wider public acceptance of industrial farming methods.
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BANGKOK (Reuters) - Thailand's election commission said on Wednesday it is seeking the disqualification of a party that nominated a princess for prime minister, in what would be a set-back for the opposition loyal to ousted former prime minister Thaksin Shinawatra.
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The product, which will first be a set-top box and is meant to be an operating platform similar to X1, will launch next year, said the people, who asked not to be named because the internal discussions are private.
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It turns out to be a set of ambient cello music–apparently part of the Saint Heron Cleanse–by a woman wearing a shear caftan and her hair in complex braids that look like two cosmic wheels bookending her head.
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"There's probably going to be a set of founders who, for whatever reason, might be more attracted to trying a remote Y Combinator, either because they're international or they have a limitation that makes them unable to move," says Seibel.
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The 'Underground Steel Great Wall' A story posted on the PLA's English-language website on January 13 proclaims the Underground Steel Great Wall (USGW) to be a set of defensive installations set deep under mountainous terrain at an undisclosed location somewhere in China.
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But it has left the door ajar: "To take [a second referendum] off the table completely, when there might be a set of circumstances where Parliament cannot deliver a meaningful vote, would be a mistake," Tom Watson, Labour's deputy leader, said on July 15th.
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"There needs to be a set of macroeconomic measures, monetary and fiscal policy to support the economy and some confidence-building measures in terms of economic reforms," said Eswar Prasad, senior fellow at the Brookings Institution and a Cornell University professor, on "Power Lunch" on Friday.
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"The recent ruling on the OCC special purpose charter will be a set back for some fintechs who were looking for a potentially accelerated path toward a bank charter in order to gain access to the nationwide financial system without having to be licensed in all 50 states."
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We just took a quick look at a 3D-printed prototype of the recently announced JBL Link Bar, a soundbar that also happens to be a set-top box running Android TV. It's not coming out until later this summer, and a lot of stuff isn't quite working yet.
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In any case, Untitled Unmastered appears to be a set of unreleased tracks from the 2013 and 2014 sessions that birthed To Pimp a Butterfly, and looks designed to be more of a minor release to satiate fans rather than a full-length follow-up to last year's masterpiece.
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" Havens stressed that while he doesn't want to encroach on personal choice, he believes there should be a "set of policies and standards that can allow a person an individual decision, but there's a uniformity and kind of a legality about it so that it's not just random.
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It would be in their best interests if they pool their efforts together and come up with what might be a set of first-generation rules that can be applied to "Fleet Use," and then even more precise guidelines that can be in place by the time these companies want to start selling these cars to private citizens.
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Well, people know that if they create ... Look, there's some standards like how we handle harassment or how we handle hate that applies to everyone, but what I'm trying to say is that if you're in the news category and you're producing misinformation we're going to ... There could be a set of cases that really only relate to news.
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Usually the event is just a normal match, but could also be a set of tournaments.
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The result will be a set of annotations including all protein-coding loci with alternatively transcribed variants, non-coding loci with transcript evidence, and pseudogenes.
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Let O be a set of objects and \preceq a total order on O. The RS extension of \preceq is a partial order on 2^O. It can be defined in several equivalent ways.
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Cabinets which rest on the floor are supported by some base. This base could be a fully enclosed base (i.e. a plinth), a scrolled based, bracket feet or it could be a set of legs.
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The theorem is clearly true for three non-collinear points. We proceed by induction. Assume n > 3 and the theorem is true for n − 1\. Let P be a set of n points not all collinear.
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Several equivalent definitions of a Bayesian network have been offered. For the following, let G = (V,E) be a directed acyclic graph (DAG) and let X = (Xv), v ∈ V be a set of random variables indexed by V.
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Frequently there will be a set at the top, and then one or more sets equally spaced down the structure. The United Kingdom's Belmont mast has nine clusters of red lamps spaced equally along the full height of the mast.
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In this section it is assumed that every set can be endowed with a group structure . Let be a set. Let be the Hartogs number of . This is the least cardinal number such that there is no injection from into .
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Alternatively, it can be a set of principles, or a moral code. This alternative definition of a concept of a Moral Constitution finds its only current example in the Bill of Morals efforts of the present government of South Africa.
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Alternatively, {yellow 10, black 10, red 5} would be a set, using the red 5 to represent the red or green 10. When collecting a hand of seven pairs, a joker can be used with any tile to form a pair.
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An open campaign can encompass several definitions. An open campaign may be a set of public protest actions against a person (e.g. a politician), an organization (e.g. a private education association), or a corporation with a clear goal and transparent methods.
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The difficulties associated with a universal set can be avoided either by using a variant of set theory in which the axiom of comprehension is restricted in some way, or by using a universal object that is not considered to be a set.
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Let G be a directed graph, S be a set of starting vertices, and T be a set of destination vertices (not necessarily disjoint from S). The gammoid \Gamma derived from this data has T as its set of elements. A subset I of T is independent in \Gamma if there exists a set of vertex-disjoint paths whose starting points all belong to S and whose ending points are exactly I.. A strict gammoid is a gammoid in which the set T of destination vertices consists of every vertex in G. Thus, a gammoid is a restriction of a strict gammoid, to a subset of its elements.
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The ground floor would have of retail space, the second floor would have of office space, and the third floor would be six residential condominia offered for sale. Abutting that building and occupying the remainder of the lot would be a set of three-story row houses.
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Let x_1, x_2, \dots, x_n be a set of vectors of k booleans each. The ugly duckling is the vector which is least like the others. Given the booleans, this can be computed using Hamming distance. However, the choice of boolean features to consider could have been somewhat arbitrary.
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Applied to the construction of V-optimal histograms, the initial random state would be a set of values representing the bucket boundary placements. The iterative improvement steps would involve moving each boundary until it was at its local minimum, then moving to the next boundary and adjusting it accordingly.
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Formally, let be a set and let be a family of subsets of . Then is called a topology on if: # Both the empty set and are elements of . # Any union of elements of is an element of . # Any intersection of finitely many elements of is an element of .
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Let be a set in a real or complex vector space. is star convex (star- shaped) if there exists an in such that the line segment from to any point in is contained in . Hence a non-empty convex set is always star-convex but a star-convex set is not always convex.
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A meld can either be a set (also known as a book) or a run. A set consists of at least three cards of the same rank, for example or . A run consists of at least three consecutive cards of the same suit or . Very few variations allow runs that have mixed suits.
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Human Resource Management Review. 21:3 (2011):228-242. Additionally, there should be a set of hiring attributes that is associated with each sales job that is within a company. If an individual does not excel in their assigned territory, it could be due to external factors relating to that person's environment.
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Grakn is a distributed knowledge graph for knowledge oriented system, i.e. a knowledge base. Under the hood, Grakn has built an expressive knowledge representation system with a transactional query interface. Grakn’s knowledge representation system is based on hypergraph theory, a subfield in mathematics that generalises an edge to be a set of vertices.
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The axiom schema of replacement states that if F is a definable class function, as above, and A is any set, then the image F[A] is also a set. This can be seen as a principle of smallness: the axiom states that if A is small enough to be a set, then F[A] is also small enough to be a set. It is implied by the stronger axiom of limitation of size. Because it is impossible to quantify over definable functions in first-order logic, one instance of the schema is included for each formula \phi in the language of set theory with free variables among w_1,\dotsc,w_n,A,x,y; but B is not free in \phi.
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Massimilian Porcello (born 23 June 1980 in Bückeburg, West Germany) is a German-Italian former professional footballer who played as a midfielder. He is known to be a set piece specialist and has scored some stunning free kicks for Karlsruher SC, most notably a 45-meter hammer versus Hansa Rostock in the 2006–07 season.
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In the prospectus it was said to be : A set of the newspaper, consisting of 67 numbers, was shown at the Old Glasgow Exhibition held in 1894. Two complete sets of the papers are preserved in Glasgow. One is in the possession of the University of Glasgow, and the other in the Mitchell Library.
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Discipline is commonly applied to regulating human and animal behavior to its society or environment it belongs. In the academic and professional worlds a discipline is a specific branch of knowledge, learning or practice. Discipline can be a set of expectations that are required by any governing entity including the self, groups, classes, fields, industries, or societies.
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On August 27, 2010, Fuentes was traded to the Minnesota Twins for a player to be named later. While Fuentes had been a closer with the Angels, he was expected to be a set- up man with the Twins. Nevertheless, Fuentes earned a save in his first outing with the Twins, a 1-0 win over the Seattle Mariners.
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He is revealed to be Mr. Franklyn in disguise, removing his prosthetic bad teeth and fake latex skin. He stops limping and walks normally. There are dozens of attaché cases lined up for future jobs. As he leaves his "closet", he is accosted by the waitress and her doppelgänger, revealed to be a set of twins, Annie and Bonnie.
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Von Neumann proved that the axiom of limitation of size implies the axiom of replacement, which can be expressed as: If F is a function and A is a set, then F(A) is a set. This is proved by contradiction. Let F be a function and A be a set. Assume that F(A) is a proper class.
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Born Horace Edward Carter Jr.Catalog of Copyright Entries: Third series, Library of Congress. Copyright Office, 1976, p. 137. in New York City to Horace Sr., an African- American longshoreman from Richmond, Virginia, and Carmen, who was from Trinidad, he is professionally known as steve carter (spelled in all lowercase letters). Carter's first interest in the theatre was to be a set designer.
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FBI negotiators were able to free the passengers and induce her to surrender with no injuries or deaths. The bomb that was strapped to her chest later emerged to be a set of railroad flares wired to what appeared to be a doorbell. Robin Oswald was charged as a juvenile with charges not being announced as is the law in Illinois.
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Copulation often follows. There does not appear to be a set breeding season; instead, the species forms nesting colonies in response to rodent irruptions. Birds produce broods for as long as the rodents are abundant, and stop when their food source declines. Often smaller trees are chosen as nesting sites over larger ones, with some preference given to the beefwood (Grevillea striata).
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When he was hospitalized with pneumonia in 2004, her visits with him were limited by his children from the previous marriage. During this time and amidst divorce proceedings with Montenegro, López Portillo died. She was awarded a pension and the house she was donated became her home. She has allowed it to be a set for telenovelas and lives well.
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Formally, let be a set S with a closed binary operation • on it (known as a magma). A zero element is an element z such that for all s in S, . A refinement are the notions of left zero, where one requires only that , and right zero, where . Absorbing elements are particularly interesting for semigroups, especially the multiplicative semigroup of a semiring.
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The Pantheon Fossae are a radial set of troughs in a region in the middle of Caloris Basin on Mercury. They appear to be a set of graben formed by extensional faults, with a 40 km crater located near the center of the pattern. The exact origin of this pattern of troughs is not currently known. The feature was nicknamed "the Spider" before receiving its official name.
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Given one or (typically) more images of a scene, or a video, scene reconstruction aims at computing a 3D model of the scene. In the simplest case the model can be a set of 3D points. More sophisticated methods produce a complete 3D surface model. The advent of 3D imaging not requiring motion or scanning, and related processing algorithms is enabling rapid advances in this field.
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The significance of argument in formal logic is that one may obtain new truths from established truths. In the first example above, given the two premises, the truth of is not yet known or stated. After the argument is made, is deduced. In this way, we define a deduction system to be a set of all propositions that may be deduced from another set of propositions.
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Freddy is later called to Billy and Mary's home, where he is seemingly poisoned by Mary, who had made a deal with Blaze, who wanted Freddy's powers, in exchange for restoring Mary and Billy's. However, it is then revealed to be a set-up. Freddy gets up and fights Blaze. With a little help from Billy and Mary, defeats her and sends her back to hell.
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A circular-arc graph (left) and a corresponding arc model (right). In graph theory, a circular-arc graph is the intersection graph of a set of arcs on the circle. It has one vertex for each arc in the set, and an edge between every pair of vertices corresponding to arcs that intersect. Formally, let :I_1, I_2, \ldots, I_n \subset C_1 be a set of arcs.
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Let C be a set of n squares or circles of identical size. There is a polynomial-time approximation scheme for finding an MDS using a simple shifted-grid strategy. It finds a solution within (1 − e) of the maximum in time nO(1/e2) time and linear space. The strategy generalizes to any collection of fat objects of roughly the same size (i.e.
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A hinge is a subset of nodes of hypergraph having some properties defined below. A hinge decomposition is based on the sets of variables that are minimal hinges of the hypergraph whose nodes are the variables of the constraint satisfaction problem and whose hyperedges are the scopes of its constraints. The definition of hinge is as follows. Let H be a set of hyperedges.
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The collection of von Neumann ordinals, like the collection in the Russell paradox, cannot be a set in any set theory with classical logic. But the collection of order types in New Foundations (defined as equivalence classes of well-orderings under similarity) is actually a set, and the paradox is avoided because the order type of the ordinals less than \Omega turns out not to be \Omega.
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For example, engineering design drawings are typically labelled entirely in upper- case letters, which are easier to distinguish individually than the lower case when space restrictions require that the lettering be very small. In mathematics, on the other hand, letter case may indicate the relationship between objects, with upper-case letters often representing "superior" objects (e.g. X could be a set containing the generic member x).
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Hughes made two more brief appearances for the WWF. First, in 1997 as Hunter Hearst Helmsley's bodyguard before being replaced by Chyna. Then in 1999 he returned again as a masked opponent for Chris Jericho called "Gotch Gracie". This was later revealed to be a set up when both attacked Ken Shamrock and "Gracie" revealed himself to be Jericho's new bodyguard (as Curtis Hughes).
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Lines is an accomplished and patient passer of the ball, described by the Sheffield Star's Paul Thompson as being a "cultured, creative, passing midfielder who gets on the ball and likes to dictate play... he's also very mobile and has decent vision". Port Vale manager Micky Adams described him as a "tall, strong central midfielder". He is considered to be a set-piece specialist.
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The surface-to-surface intersection (SSI) problem. is a basic problem in computer-aided geometric design: Given two intersecting surfaces in R3, compute all parts of the intersection curve. If two surfaces intersect, the result will be a set of isolated points, a set of curves, a set of overlapping surfaces, or any combination of these cases.R. Barnhill, G. Farin, M. Jordan, and B. Piper.
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In set theory and its applications throughout mathematics, a subclass is a class contained in some other class in the same way that a subset is a set contained in some other set. That is, given classes A and B, A is a subclass of B if and only if every member of A is also a member of B. If A and B are sets, then of course A is also a subset of B. In fact, when using a definition of classes that requires them to be first-order definable, it is enough that B be a set; the axiom of specification essentially says that A must then also be a set. As with subsets, the empty set is a subclass of every class, and any class is a subclass of itself. But additionally, every class is a subclass of the class of all sets.
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It ultimately proved to be a set-up, however, as Orton attacked the Undertaker and performed an RKO on him. At WrestleMania, "Cowboy" Bob interfered in Orton's match, but was unsuccessful when the Undertaker pinned Orton after a Tombstone piledriver. Cena with his customized WWE Championship belt. Kurt Angle entered into a feud with Shawn Michaels, with the pair fighting over who was the better wrestler in WWE.
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The Spences Bridge Group is a 100-million-year-old volcanic group of the southern Intermontane Belt in British Columbia, Canada. It consists of two stratigraphic units called the Pimainus Formation and the Spius Formation.Arc and intraplate volcanism in the Spences Bridge Group: Implications for Cretaceous tectonics in the Canadian Cordillera The Spius Formation represents a shield volcano whereas the underlying Pimainus Formation is interpreted to be a set of stratovolcanoes.
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The O'Connor assassination attempt is revealed to be a set-up designed by Cobblepot to start a war between Falcone and Maroni. Gordon and Bullock arrive at the house of Barbara's parents to find them dead. After a brutal fight with Jim, the "Ogre" holds Barbara at knifepoint until Bullock distracts him for Jim to shoot him. Later, Jim confesses to Leslie that he no longer loves Barbara.
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While there are not necessarily formal rules, there tends to be a set of informal expectations for pool members. Primarily, all pool members are expected to "share the load" equally. For example, in the case of ongoing events, a different station might provide a pool reporter or camera every day. For one-time events, each organization may have its own responsibility (such as providing all cameras or mobile trucks).
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The branch currents chosen as a set of independent variables must be a set associated with the links of a tree: one cannot choose any l branches arbitrarily.Guillemin, pp.8–9 In terms of branch voltages, a complete solution of the network can be obtained with t branch voltages. This is a consequence the fact that short-circuiting all the branches of a tree results in the voltage being zero everywhere.
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Let S be a set that can be recursively enumerated by a Turing machine. Then there is a Turing machine T that for every n in S, T halts when given n as an input. This can be formalized by the first-order arithmetical formula presented above. The members of S are the numbers n satisfying the following formula: \exists n_1:\varphi(n,n_1) This formula is in \Sigma^0_1.
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Frank Machianno, a retired San Diego mafia hitman, cut his ties with the Mafia many years ago. However, one day, his past catches up with him as the boss of Los Angeles family calls in for a past favor. Frank must oversee a meeting between the Detroit Combination and the Los Angeles crime family. Unfortunately, the meeting is revealed to be a "set-up", a scheme to kill Frankie.
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In A Dame To Kill For (which is set just before The Hard Goodbye) Marv becomes a sidekick of sorts to his good friend Dwight McCarthy, agreeing to help him rescue his former lover Ava Lord. When it is revealed to be a set-up, he rushes a mortally wounded Dwight to Old Town, where he is taken in by his former 'associate' Gail. Shortly afterwards, Marv becomes involved with Goldie.
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For an arbitrary field , let be a set of -dimensional subspaces of the vector space , any two of which intersect only in {0} (called a partial spread). The members of , and their cosets in , form the lines of a translation net on the points of . If this is a -net of order . Starting with an affine translation plane, any subset of the parallel classes will form a translation net.
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Ace Reporter Don Stevens (Christopher Walken) is an American journalist who goes to Beirut, Lebanon during the Lebanese Civil War. He stays in a hotel with English journalist Mike Jessop. He is promised an interview with a top PLO leader, Palestinian Yassin Abu-Riadd (Amos Lavi). However, this proves to be a set-up and he is duped into interviewing an impostor who claims the PLO are prepared to negotiate peacefully.
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PCB president Ijaz Butt maintained that the players were innocent. At the same time, former Pakistan captain Rashid Latif suggested that the spot-fixing controversy might be a set-up and that the leaked video contained a certain number of ambiguities. Iqbal Mohammad Ali, a member of the National Assembly of Pakistan and chairman of the standing committee on sports, called for the removal of the players in question from the team.
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Temporal existential and universal quantification are included in TLA+, although without support from the tools. User-defined operators are similar to macros. Operators differ from functions in that their domain need not be a set: for example, the set membership operator has the category of sets as its domain, which is not a valid set in ZFC (since its existence leads to Russell's paradox). Recursive and anonymous user-defined operators were added in TLA+2.
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In the nave there used to be a set of six Italian Trecento pilaster panel paintings, painted in about 1365–70 and attributed to Jacopo di Cione and his workshop. Each depicts a different Christian figure: the evangelists John and Luke, the monks Anthony the Great and Peter Damian, and two members of the Camaldolese order: Beata Paola (died 1368) and Bruno Bonifacio. How they came to be at the church is not known.
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It is very rare and estimated to affect 1 in 100,000 per year. Because of its rarity the documentation, cases and information are sparse and not a huge amount is known for certain, meaning that EAC could actually be a set of many un-classified skin lesions. It is known to occur at all ages and all genders equally. Some articles state that women are more likely to be affected than men.
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A rule-based behaviour is characterised by the use of rules and procedures to select a course of action in a familiar work situation (Rasmussen, 1990). The rules can be a set of instructions acquired by the operator through experience or given by supervisors and former operators. Operators are not required to know the underlying principles of a system, to perform a rule-based control. For example, hospitals have highly-proceduralised instructions for fire emergencies.
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This axiomatization is due to Felix Hausdorff. Let X be a set; the elements of X are usually called points, though they can be any mathematical object. We allow X to be empty. Let N be a function assigning to each x (point) in X a non-empty collection N(x) of subsets of X. The elements of N(x) will be called neighbourhoods of x with respect to N (or, simply, neighbourhoods of x).
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Let X = {a,b} be a set with 2 elements. There are four distinct topologies on X: #{∅, {a,b}} (the trivial topology) #{∅, {a}, {a,b}} #{∅, {b}, {a,b}} #{∅, {a}, {b}, {a,b}} (the discrete topology) The second and third topologies above are easily seen to be homeomorphic. The function from X to itself which swaps a and b is a homeomorphism. A topological space homeomorphic to one of these is called a Sierpiński space.
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An example might be a set of songs by bands from certain cities represented in the NFL or NBA playoffs. The theme music for the show is "Born In The USA" by Bruce Springsteen. It comes after 'Fineys Final Siren' on a Sunday night. The show is consistently one of SEN's highest-rated shows and attracts a variety of callers, many of whom have extensive knowledge and others who want to argue with the hosts.
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Suppose 11n points are placed around a circle and colored with n different colors in such a way that each color is applied to exactly 11 points. In any such coloring, there must be a set of n points containing one point of each color but not containing any pair of adjacent points. To see this, imagine picking a point of each color randomly, with all points equally likely (i.e., having probability 1/11) to be chosen.
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Many clubs also take a percentage of fees charged for each private dance. It is also customaryand often required in the United Statesfor dancers to pay a "tip out", usually at the end of their shift, to the supporting staff, such as DJs, house moms, make-up artists, servers, bartenders, and bouncers. This can be a set fee or a percentage of money earned. For the customer, the fee structure of a club is determined by management policy.
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In a retrospective review, Stephen Thomas Erlewine of AllMusic gave the album two and a half out of five stars and wrote that "Lord Upminster turned out to be a set of uninspired funk that lacks the joyful energy of his three previous records." And Emma Greatrex of the Daily Express gave the album two stars writing that the album was "largely overlooked", but also noted that "many of the songs are repetitive and indistinguishable from each other".
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The selection environment consists of the set of training records, which are also called fitness cases. These fitness cases could be a set of observations or measurements concerning some problem, and they form what is called the training dataset. The quality of the training data is essential for the evolution of good solutions. A good training set should be representative of the problem at hand and also well-balanced, otherwise the algorithm might get stuck at some local optimum.
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Riesman et al. (1950) p.78 This theory is one of several models that try to explain the diffusion of innovations, ideas, or commercial products. In order to be an opinion leader there must be a set of supporters or lower-end media users who follow their lead. According to Yufu Kuwashima, an opinion leader’s power and influence comes from the network created by their followers. Dedicated supporters reinforce the leader’s messaging to other media consumers, strengthening their influence.
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This allows us to not even have to assign a symbol to a monoid's multiplication operation. Moreover, when we use this juxtaposition notation then we will automatically assume that the monoid's identity element is denoted by . :Definition: Let be a monoid with identity element whose operation is denoted by juxtaposition and let be a set. A monoid action of on is a map , which we will also denote by juxtaposition, such that and for all and all .
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The isomorphism type of a Boolean algebra B is the class of all Boolean algebras isomorphic to B. (If we want this to be a set, restrict to Boolean algebras of set- theoretical rank below the one of B.) The class of isomorphism types of Boolean algebras, endowed with the addition defined by [X]+[Y]=[X\times Y] (for any Boolean algebras X and Y, where [X] denotes the isomorphism type of X), is a conical refinement monoid.
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The band announced that they would headline the 16th Annual Honda Civic Tour. In an Instagram video, frontman Ryan Tedder stated: > Our best memories come from summer tours in the U.S. and the Honda Civic > tour has been the benchmark of summer tours. It's going to be a set list > that we've never attempted before, it's going to be production we've never > attempted before... and it's going to be the most interactive tour we've > ever done before.
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Ichikawa Yaozō III, colour woodblock print, Kabukidō Enkyō (, fl. ) was a Japanese artist who designed ukiyo-e woodblock prints. Nothing is known of Enkyō's life, and only seven of his works are known, all of which are ōkubi yakusha-e, bust portrait prints of kabuki actors. Scholars divide them into two groups based on differences in the signatures, and the second group appears to be a set, as the prints depict three brothers from the same play.
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The action part of the rule can be a set of actions that must be executed when the conditions are true. The IETF does not define a specific language to express network policies but rather a generic object-oriented information model for representing policy information. This model is a generic one, specifying the structure of abstract policy classes by means of association, thus allowing vendors to implement their own set of conditions and actions to be used by the policy rules.
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A graphic representation of the deduction system In a Hilbert- style deduction system, a formal deduction is a finite sequence of formulas in which each formula is either an axiom or is obtained from previous formulas by a rule of inference. These formal deductions are meant to mirror natural- language proofs, although they are far more detailed. Suppose \Gamma is a set of formulas, considered as hypotheses. For example, \Gamma could be a set of axioms for group theory or set theory.
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US officials said that the Israeli war planes shot into Syria from Lebanese air space, and that the warplanes did not enter Syrian air space. No counter-attacks by Syria were reported at any front, and the Syrian ambassador to the UN said that he was not aware of any attacks on Syria by Israel. Israel as well declined any comment. Another alleged attack was reported to be a set of massive explosions in Damascus on the night of 4–5 May 2013.
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Fourthly, there must be an existing system of state bureaucracy that is ready for the democratic government to use. Lastly, there must be an institutionalized economic society, by which Linz & Stepan mean that consolidated democracies cannot co-exist alongside a command economy, nor alongside a pure free-market economy. So in order for democracies to be able to consolidate, there needs to be a set of economic norms, institutions, and regulations that mediates between the state and the market, according to Linz & Stepan.
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Let S be a set of n 2-dimensional points. If S contains only one point, return a leaf containing that point. Otherwise, construct the associated structure of S, a 1-dimensional range tree on the y-coordinates of the points in S. Let xm be the median x-coordinate of the points. Let SL be the set of points with x-coordinate less than or equal to xm and let SR be the set of points with x-coordinate greater than xm.
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We will prove this by reductio ad absurdum. # Let \Omega be a set that contains all ordinal numbers. # \Omega is transitive because for every element x of \Omega (which is an ordinal number and can be any ordinal number) and every element y of x (i.e. under the definition of Von Neumann ordinals, for every ordinal number y < x), we have that y is an element of \Omega because any ordinal number contains only ordinal numbers, by the definition of this ordinal construction.
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Ramanathan's wife gives birth in the same hospital but the child dies, as with her previous three pregnancies. Sagaya Mary hands over one of Alex's children to them and he is christened Arun, while she raises the other child, John. On his 25th birthday party, Arun gets a divine epiphany that makes him realise he is the reincarnation of Alex. He is asked to meet a woman named Asha at a hotel but it proves to be a set up.
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To understand the relevant properties of the clause components C_j, one needs the notion of an M-completion. A cycle cover Z induces a satisfying assignment just in case its external edges satisfy certain properties. For any cycle cover of G_\phi, consider only its external edges, the subset M. Let M be a set of external edges. A set of internal edges L is an M-completion just in case M\cup L is a cycle cover of G_\phi.
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Let be a set equipped with a binary operation ∗. Then an element of is called a left identity if for all in , and a right identity if for all in . If is both a left identity and a right identity, then it is called a two-sided identity, or simply an identity. An identity with respect to addition is called an additive identity (often denoted as 0) and an identity with respect to multiplication is called a multiplicative identity (often denoted as 1).
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With the above relationship established, the further specialized Arrow–Debreu model may be derived. This result suggests that, under certain economic conditions, there must be a set of prices such that aggregate supplies will equal aggregate demands for every commodity in the economy. The analysis here is often undertaken assuming a representative agent. The Arrow–Debreu model applies to economies with maximally complete markets, in which there exists a market for every time period and forward prices for every commodity at all time periods.
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Essentially, an ordinal is intended to be defined as an isomorphism class of well-ordered sets: that is, as an equivalence class for the equivalence relation of "being order-isomorphic". There is a technical difficulty involved, however, in the fact that the equivalence class is too large to be a set in the usual Zermelo–Fraenkel (ZF) formalization of set theory. But this is not a serious difficulty. The ordinal can be said to be the order type of any set in the class.
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He continued to compose, mainly for primary schools. His five SSC (two sopranos and contralto) part songs, ‘Abantwana besikole’ (translated ‘school children)', ‘Amagqabi emiti’ (the leaves), ‘Ikonjane’ (translated the swallow bird), ‘Ukuba bendinamaphiko’ (translated ‘’If I had wings’’) and ‘U-Nonhayi’ became, and still remain, firm favorites for Xhosa primary school choir teachers. In 1925, his song ‘Ivoti’ was the set piece for the Transkei-Cape choir competition making it the first vernacular composition to be a set piece. The majority of Tyamzashe’s compositions are choral works.
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Let A be a set with a partial order ≤, and let x and y be two elements in A. An element z of A is the meet (or greatest lower bound or infimum) of x and y, if the following two conditions are satisfied: # z ≤ x and z ≤ y (i.e., z is a lower bound of x and y). # For any w in A, such that and , we have (i.e., z is greater than or equal to any other lower bound of x and y).
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The geometry of a set of atoms can be described by a vector, , whose elements represent the atom positions. The vector could be the set of the Cartesian coordinates of the atoms, or could also be a set of inter-atomic distances and angles. Given , the energy as a function of the positions, , is the value of for all of interest. Using the landscape analogy from the introduction, E gives the height on the "energy landscape" so that the concept of a potential energy surface arises.
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At Hastoe the ditch is wide and deep with a bank of and an overall spread of . The purpose of the earthwork is uncertain. It is thought by the Ordnance Survey (1974) that it may be a set of local boundaries used to control the movement of cattle and carts and dating back to the Iron Age, as no Anglo-Saxon event is connected with it. It is not seen as having a defensive function due to the way that the banks have been constructed.
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The current domain of a variable can be inspected using specific literals; for example, `dom(X,D)` finds out the current domain `D` of a variable `X`. As for domains of reals, functors can be used with domains of integers. In this case, a term can be an expression over integers, a constant, or the application of a functor over other terms. A variable can take an arbitrary term as a value, if its domain has not been specified to be a set of integers or constants.
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Adaptive depth control means that the renderer stops generating reflected/transmitted rays when the computed intensity becomes less than a certain threshold. There must always be a set maximum depth or else the program would generate an infinite number of rays. But it is not always necessary to go to the maximum depth if the surfaces are not highly reflective. To test for this the ray tracer must compute and keep the product of the global and reflection coefficients as the rays are traced.
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However, there seems to be strong psychophysical evidence for human vision that it is first differences which control human visual performance. It is necessary for the positive & negative parts of all outputs from Laplacian-like neurones to be separated for sending onwards to the cortex, since it is impossible to transmit negative signals. This means that each neurone of this type must be considered to be a set of six dipoles, such that each surround inhibition can only cancel its own portion of the central stimulation.
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Limitation of Size plus I being a set (hence the universe is nonempty) renders provable the sethood of the empty set; hence no need for an axiom of empty set. Such an axiom could be added, of course, and minor perturbations of the above axioms would necessitate this addition. The set I is not identified with the limit ordinal \omega, as I could be a set larger than \omega. In this case, the existence of \omega would follow from either form of Limitation of Size.
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Hank provided Cartier with a sample of his serum, but would later discover that he was the one terrorizing the Inuit village at the start of the film as the Wendigo. It would culminate in a showdown where Hank teamed up with Wolverine, who was located by Professor X using Cerebro. Fear the Beast ended with a tease of Mister Sinister having watched all of the proceedings. This was going to be a set up to Sinister being a multi-film villain orchestrating things.
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Unit tests exercise individual functions, subroutines, or object methods. Both functional testing tools and unit-testing tools tend to be automated and are often third-party products that are not part of the compiler suite. A functional test may be a scripted series of program inputs, possibly even involving an automated mechanism for controlling mouse movements and clicks. A unit test may be a set of separate functions within the code itself or a driver layer that links to the code without altering the code being tested.
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Throughout, will be a topological space, will be a set, and the graph of a function will be denoted by . Whenever it is needed, it should be automatically assumed that is also a topological space. Convergence of maps in any one of the most well- known function space topologies (e.g. the topology of uniform convergence on , or the topology of pointwise convergence, which are defined below) is often imagined by visualizing the graphs of these maps as "moving towards the limit function's graph" in some way.
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Although these adornments showed some variation in form, the principal one appears to be a set of three separate columns of flattened silver links joined to each other by square alternating links. At the top of the set of columns, and holding them together, is a flat two-headed bird figure and at the base is a flat semicircle or trapezoid that usually has a series of small disks dangling from its base. The wearer would place the object hanging from his/ her neck and down the chest.
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Thus, he denies any aesthetic value of modern popular music, considering it to be "a set of ordered acoustic vibrations, which can be compared with each other". Comparing the elementary theory of music popular music and classical music, Gafurov shows that popular music is a "primitive step back, an expression of the class will of the bourgeoisie to the stupefaction of the working people." He categorically opposed the idea that classical music and popular music are "incomparable". Gafurov consistently pursued the idea that an "absence of taste" and "bad taste" are fundamentally different things.
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Some properties of free groups follow readily from the definition: #Any group G is the homomorphic image of some free group F(S). Let S be a set of generators of G. The natural map f: F(S) → G is an epimorphism, which proves the claim. Equivalently, G is isomorphic to a quotient group of some free group F(S). The kernel of φ is a set of relations in the presentation of G. If S can be chosen to be finite here, then G is called finitely generated.
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This includes the Coronation Street building and the Granada House building. A decision is believed to be made by April 2012 and would save parts of the site from demolition. This is believed to include the Coronation Street set and possibly Granada House, while the Bonded Warehouse to the west of the studio complex is already listed. It was later revealed that there would be a set of The Crystal Maze Live Experience in the former Studio 2 of the Granada Studios, which is scheduled to open in April 2017.
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In some common situations may be a set of subsets of in which case incidence will be containment ( if and only if is a member of ). Incidence structures of this type are called set-theoretic. This is not always the case, for example, if is a set of vectors and a set of square matrices, we may define vector is an eigenvector of matrix }. This example also shows that while the geometric language of points and lines is used, the object types need not be these geometric objects.
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As a Roman colony, Philippi gave a level of independence to women that was not common in most Greek cities of the period; this may account for the prominence of the women and their disagreement. There are references to a "Euodia" (again mistaking the name as a male form) in the document Apostolic Constitutions, which purports to be a set of writings of the twelve Apostles of Jesus, but is in fact a bogus source, dated to the fourth century AD, and believed to originate in Syria.Wikipedia, "Apostolic Constitutions", (Global), 2014.
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Paul Cohen, another great innovator in set theory, started his career with a thesis on sets of uniqueness. As the theory of Lebesgue integration developed, it was assumed that any set of zero measure would be a set of uniqueness -- in one dimension the locality principle for Fourier series shows that any set of positive measure is a set of multiplicity (in higher dimensions this is still an open question). This was disproved by D. E. Menshov who in 1916 constructed an example of a set of multiplicity which has measure zero.
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A brochure is an informative paper document (often also used for advertising) that can be folded into a template, pamphlet, or leaflet. A brochure can also be a set of related unfolded papers put into a pocket folder or packet. Brochures are promotional documents, primarily used to introduce a company, organization, products or services and inform prospective customers or members of the public of the benefits. Brochures are distributed in many different ways: as newspaper inserts, handed out personally, by mail or placed in brochure racks in high traffic locations especially in tourist precincts.
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Thus, by choosing the priorities either to be a set of independent random real numbers in the unit interval, or by choosing them to be a random permutation of the numbers from to (where is the number of nodes in the tree), and by maintaining the heap ordering property using tree rotations after any insertion or deletion of a node, it is possible to maintain a data structure that behaves like a random binary search tree. Such a data structure is known as a treap or a randomized binary search tree.; .
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There can be a set of warping parameters for a whole frame offered in the bitstream, or blocks can use a set of implicit local parameters that get computed based on surrounding blocks. Switch frames (S-frame) are a new inter-frame type that can be predicted using already decoded reference frames from a higher-resolution version of the same video to allow switching to a lower resolution without the need for a full keyframe at the beginning of a video segment in the adaptive bitrate streaming use case.
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Magnitude (how much) and multitude (how many), the two principal types of quantities, are further divided as mathematical and physical. In formal terms, quantities—their ratios, proportions, order and formal relationships of equality and inequality—are studied by mathematics. The essential part of mathematical quantities consists of having a collection of variables, each assuming a set of values. These can be a set of a single quantity, referred to as a scalar when represented by real numbers, or have multiple quantities as do vectors and tensors, two kinds of geometric objects.
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Emika becomes wary of one of her teammates, a wildcard called DJ Ren, who has set up a system of shields to encrypt his information. Emika extracts a string of code from the shield, which Hideo suggests is related to the Dark World, a place where people do illegal things through Warcross. There, Emika stumbles upon Ren placing small bets and conversing with an ominous figure, known as Zero. Since the bets are so small, Emika believes them to be a set of coordinates that map out future attacks against Henka Games.
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When prioritizing genes, individual database queries are used to specify one or more desirable or undesirable criteria. The output of each query will be a set of genes (e.g. all genes that produce a lethal phenotype upon a genetic knockout); and different combinations of gene sets can be obtained using standard set operators (Union, Intersection, Subtraction), including the possibility of weighting genes present in more than one set (this is particularly useful when calculating Unions). A number of prioritizations obtained with this tool have been published, demonstrating a number of use cases.
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Opportunity analysis identifies for policy officials opportunities or vulnerabilities that the customer's organization can exploit to advance a policy, as well as dangers that could undermine a policy. Lawyers apply the test cui bono (who benefits?) in a rather similar way. To make the best use of opportunity analysis, there needs to be a set of objectives for one's own country, preferably with some flexibility to them. The next step is to examine personalities and groups in that target country to see if there are any with a commonality of interest.
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Technical Report 9575, ISO/IEC JTC 1, Switzerland, 1989 (not available online). For example, this might be a set of routers under a control of a single organization, some of them operating a corporate network, some others a branch office network, and the rest the data center network. A given autonomous system Guidelines for creation, selection, and registration of an Autonomous System (AS), RFC 1930, J. Hawkison & T. Bates,March1996 can contain multiple routing domains, or a set of routing domains can be coordinated without being an Internet-participating autonomous system.
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Special types of filters called ultrafilters have many useful properties that can significantly help in proving results. One downside of nets is their dependence on the directed sets that constitute their domains, which in general may be entirely unrelated to the space . In fact, the class of nets in a given set is too large to even be a set (it is a proper class); this is because nets in can have domains of any cardinality. In contrast, filters, like topologies, are in a sense more "intrinsic" to the set .
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Solvability means that for any three elements of a, b, x and y, the fourth exists such that the equation a x = b y is solved, hence the name of the condition. Solvability essentially is the requirement that each level P has an element in A and an element in X. Solvability reveals something about the levels of A and X — they are either dense like the real numbers or equally spaced like the integers . The Archimedean condition is as follows. Let I be a set of consecutive integers, either finite or infinite, positive or negative.
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Alex Greenwood (born 7 September 1993) is an English footballer who plays for Manchester City in the FA Women's Super League and the England national team. Mainly a left-back, she can also play as a centre-back and is considered to be a set-piece specialist. She has previously played for Olympique Lyonnais in the French Division 1 Féminine as well as English clubs Manchester United, Liverpool, Notts County and Everton where she began her career. Greenwood has played for the England national football team since 2014 and was named the FA Women's Young Player of the Year in 2012.
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Let X be a set equipped with two binary operations, which we will write \circ and \otimes, and suppose: # \circ and \otimes are both unital, meaning that there are elements 1_\circ and 1_\otimes of X such that 1_\circ \circ a= a =a \circ 1_\circ and 1_\otimes \otimes a= a =a \otimes 1_\otimes, for all a\in X. # (a \otimes b) \circ (c \otimes d) = (a \circ c) \otimes (b \circ d) for all a,b,c,d \in X . Then \circ and \otimes are the same and in fact commutative and associative.
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Around late November 2017, Derek posted a picture on his Instagram with the caption "just finished recording vocals on the last song of the new record". Following this during early March 2018, State Champs posted what looked to be a set for a music video on their Instagram account. On April 11, 2018, the album artwork and track listing for Living Proof was leaked on various music websites. Later, on April 19, they released the lead single for the album, called "Dead and Gone", and announced that Living Proof would be released on June 15, 2018.
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Let X be a set and let R be a ring. Since addition and multiplication are defined in R, we can construct an algebraic structure known as an algebra out of the functions from X to R by defining addition, multiplication, and scalar multiplication of functions to be done pointwise. If R X denotes the set of functions from X to R, then we say that if f, g are elements of R X, then f + g, fg, and rf -- the last of which is defined by : (rf)(x) = rf(x)\, for all r in R -- are all elements of R X.
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Finally, the seven Group First winners compete for Best in Show. Beginning July 3, 2012, the final judge at all AKC all-breed shows will also award a "Reserve Best in Show." In the American Kennel Club, a dog needs 15 points to become a Champion, with each win gaining anywhere from zero to five points depending on the number of dogs competing and the area where the show is held. At least two wins must be a set of three or more points ("majors") under two different judges; at least one additional win under a third judge is also required.
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This leaves open the possibility that there are many maximal elements. : Example 3: In the fence a1 < b1 > a2 < b2 > a3 < b3 > ..., all the ai are minimal, and all the bi are maximal, see picture. : Example 4: Let A be a set with at least two elements and let S={{a}: a∈A} be the subset of the power set P(A) consisting of singletons, partially ordered by ⊂. This is the discrete poset—no two elements are comparable—and thus every element {a}∈S is maximal (and minimal) and for any distinct a′,a″ neither {a′} ⊂ {a″} nor {a″} ⊂ {a′}.
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"Powerless" was viewed live or recorded and watched within six hours of broadcast by 11.06 million Americans, ranking seventeenth in the weekly charts. Robert Canning of IGN felt that this episode was "exciting [and] pulse-pounding", being "the best episode of the season". He continued by saying that it "almost made you forget the sub-par episodes [you] had to sit through to get [there]", and hoped it would be a set-up for a "powerful, more consistent Volume Three". He ended his review by giving the episode 9.5 out of 10, the highest rating he had given for the second season.
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A hurdle, in the context of a performance fee, is a level of return that the fund must beat before it can charge a performance fee. It may be a set percentage or it may be referenced to an index. The index would typically be either LIBOR (or an equivalent) or an index reflecting the underlying market in which the fund is investing. The purpose of the latter is to reward the fund for generating returns that are better than the market (alpha) rather than for returns generated simply by movement in the market as a whole.
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The PBD may be a sliding scale function of the applicant's past employment history and age, or it may be a set length for all applicants. In Argentina, for example, six months of work history results in a PBD of two months, while 36 months or more of work history can result in a PBD of a full year, with an extra six months of PBD to applicants over the age of 45. Most countries calculate the amount of unemployment benefit as a percentage of the applicant's former income. A typical replacement percentage is 50-65%.
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Once in the air, they are forced to hand over the fake chip, which Walter confirms is real. Dylan and the Horsemen are thrown out of the plane, which is revealed to be a set floating on the Thames. They explain how they had misled the three into thinking they had won and reveal Jack had hypnotized Chase into throwing them out of the plane as planned. Walter, Arthur, and Chase’s misdeeds are broadcast to the crowd and around the world, and they are taken into FBI custody as Dylan and the Horsemen escape before the FBI can apprehend them.
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For this reason, Planck's constant was often called the quantum of action. In order for the old quantum condition to make sense, the classical motion must be separable, meaning that there are separate coordinates q_i in terms of which the motion is periodic. The periods of the different motions do not have to be the same, they can even be incommensurate, but there must be a set of coordinates where the motion decomposes in a multi-periodic way. The motivation for the old quantum condition was the correspondence principle, complemented by the physical observation that the quantities which are quantized must be adiabatic invariants.
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We define an undirected graph to be a set of vertices and edges such that each edge has two vertices (which may coincide) as endpoints. That is, we allow multiple edges (edges with the same pair of endpoints) and loops (edges whose two endpoints are the same vertex). A subgraph of a graph is the graph formed by any subsets of its vertices and edges such that each edge in the edge subset has both endpoints in the vertex subset. A connected component of an undirected graph is the subgraph consisting of the vertices and edges that can be reached by following edges from a single given starting vertex.
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A chondrometer consists of a filling hopper, a measuring container, a straightedge, a weighing instrument. The filling hopper allows the grain to fall into the measuring container in a reproducible pattern as several measurements are taken, and all readings need to be within a strict degree of accuracy. The measuring cylinder has flat top edge to it can levelled using the straightedge (a strickle) to give a set volume. Today, the measuring instrument can be a set of digital scales with an accuracy greater than 0.1 g, though in the past it was a steelyard balance with the measuring cylinder hooking directly onto the scales.
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The music video to Natalie Imbruglia's cover version, directed by Alison Maclean, features a shot of an apartment that never changes its angle of vision. Shots of Imbruglia singing along with the song are interspersed with footage of her and British actor Jeremy Sheffield engaging in a romantically inclined conversation. These couple of scenes turn out to be B-roll footage, as the two actors are seen fumbling their lines and positions; and the director constantly steps into frame to redirect the two. During the last chorus, the apartment walls start wobbling and the crew comes to dismantle it, revealing the location to be a set inside a soundstage.
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Let be a set with an outer measure . One says that a subset of is -measurable (sometimes "Carathéodory-measurable relative to ") if and only if : \mu(A) = \mu\big(A \cap E\big) + \mu\big(A\smallsetminus E\big) for every subset of . Informally, this says that a -measurable subset is one which may be used as a building block, breaking any other subset apart into pieces (namely, the piece which is inside of the measurable set together with the piece which is outside of the measurable set). In terms of the motivation for measure theory, one would expect that area, for example, should be an outer measure on the plane.
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Let S be a set and A an abelian group. A map \alpha\colon S \times S \to A \alpha is called symmetric if \alpha(s,t) = \alpha(t,s) for all s,t \in S. The symmetrization of a map \alpha \colon S \times S \to A is the map (x,y) \mapsto \alpha(x,y) + \alpha(y,x). Similarly, the anti-symmetrization or skew-symmetrization of a map \alpha \colon S \times S \to A is the map (x,y) \mapsto \alpha(x,y) - \alpha(y,x). The sum of the symmetrization and the anti-symmetrization of a map α is 2α.
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It may not be obvious that it can be proven, without using AC, that there even exists a nonzero ordinal onto which there is no surjection from the reals (if there is such an ordinal, then there must be a least one because the ordinals are wellordered). However, suppose there were no such ordinal. Then to every ordinal α we could associate the set of all prewellorderings of the reals having length α. This would give an injection from the class of all ordinals into the set of all sets of orderings on the reals (which can to be seen to be a set via repeated application of the powerset axiom).
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In 1910, Mirimanoff expanded the theorem by showing that, if the preconditions of the theorem hold true for some prime p, then p2 must also divide . Granville and Monagan further proved that p2 must actually divide for every prime m ≤ 89. Suzuki extended the proof to all primes m ≤ 113. Let Hp be a set of pairs of integers with 1 as their greatest common divisor, p being prime to x, y and x + y, (x + y)p−1 ≡ 1 (mod p2), (x + ξy) being the pth power of an ideal of K with ξ defined as cos 2π/p + i sin 2π/p.
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More generally, as noted by A. W. Moore, there can be no end to the process of set formation, and thus no such thing as the totality of all sets, or the set hierarchy. Any such totality would itself have to be a set, thus lying somewhere within the hierarchy and thus failing to contain every set. A standard solution to this problem is found in Zermelo's set theory, which does not allow the unrestricted formation of sets from arbitrary properties. Rather, we may form the set of all objects that have a given property and lie in some given set (Zermelo's Axiom of Separation).
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Opera House Cup was annually held as a professional wrestling tournament for nearly fifty years in various cities in the United States until 1948, when Stu Hart won the tournament and it was discontinued. Hart kept the possession of the Opera Cup trophy since then. On July 21, 2019, Major League Wrestling announced that it would be holding an event on December 5 at the Melrose Ballroom in Queens, New York City, New York which would be a set of television tapings of MLW's television program Fusion. On July 24, it was reported that Stu Hart's grandson and MLW wrestler Teddy Hart would be donating an inherited "family heirloom" to MLW.
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Within this last decade, there has been intensive research in autonomous power with the ability to learn using assigned moral responsibilities. "The results may be used when designing future military robots, to control unwanted tendencies to assign responsibility to the robots." From a consequentialist view, there is a chance that robots will develop the ability to make their own logical decisions on whom to kill and that is why there should be a set moral framework that the AI cannot override. There has been a recent outcry with regard to the engineering of artificial intelligence weapons that have included ideas of a robot takeover of mankind.
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The are androids that wish to usurp humanity as Earth's dominant species. Designed by Professor Banno as life forms capable of evolution like humans, his friend and colleague, Krim Steinbelt unwittingly, provided him with the necessary prototype Core Driviars to complete their development. With their numbers estimated at 108 constructed, they were purposely programmed by Banno to attack humans. They rebelled against their creator upon activation and began a full-scale attack on the planet in an event called the , which later turns out to be a set up for Banno's plans to rule the world, having stolen Krim Steinbelt's mind uploading technology to ultimately become a Roidmude himself.
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Let X = {a,b,c} be a set with 3 elements. There are 29 distinct topologies on X but only 9 inequivalent topologies: #{∅, {a,b,c}} #{∅, {c}, {a,b,c}} #{∅, {a,b}, {a,b,c}} #{∅, {c}, {a,b}, {a,b,c}} #{∅, {c}, {b,c}, {a,b,c}} #{∅, {c}, {a,c}, {b,c}, {a,b,c}} #{∅, {a}, {b}, {a,b}, {a,b,c}} #{∅, {b}, {c}, {a,b}, {b,c}, {a,b,c}} #{∅, {a}, {b}, {c}, {a,b}, {a,c}, {b,c}, {a,b,c}} The last 5 of these are all T0. The first one is trivial, while in 2, 3, and 4 the points a and b are topologically indistinguishable.
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Michael Bricker was brought on board as Production Designer, based on his work on smaller films produced in Austin, TX and with the University of Texas at Austin. Blair Scheller was hired out of Chicago for his experience in the sound departments on big-budget motion pictures. All of this led to a more rounded experience for the Ball State University students who would fill out the support crews and production positions. Originally slated for a January start, the script was re-written to be a set in the summer time, with a New Year's Eve celebration being changed to a party taking place on the Fourth of July.
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Working as a clinical psychologist, Kelly was interested in how his clients construed people in the roles they adopted towards the client, and so, originally, such terms as "my father", "my mother", "an admired friend" and so forth were used. Since then, the grid has been used in much wider settings (educational, occupational, organisational) and so any well-defined set of words, phrases, or even brief behavioral vignettes can be used as elements. For example, to see how a person construes the purchase of a car, a list of vehicles within that person's price range could be a set of elements. # A set of constructs.
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They carried with them a letter written by Chinese merchants explaining that the Chinese soldiers had laid down their weapons and would not fight back, and encouraging the Japanese forces to come in and maintain order quickly before things could fall into disarray. After walking only a couple of hours they were halted by the rifle shot of a Japanese sentry, but were eventually successful in delivering the message to Lieutenant-General Nogi. Nogi was understandably wary of the idea that this could be a set up, or ambush, however he decided to advance on Tainan that night, entering the city the next morning. Lieutenant-General Nogi's forces entered Tainan at 7 a.m.
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Let X be a set of items, and let < be a binary relation on X. Items x and y are said to be incomparable, written here as x ~ y, if neither x < y nor y < x is true. Then the pair (X,<) is a semiorder if it satisfies the following three axioms: describes an equivalent set of four axioms, the first two of which combine the definition of incomparability and the first axiom listed here. #For all x and y, it is not possible for both x < y and y < x to be true. That is, < must be an asymmetric relation #For all x, y, z, and w, if x < y, y ~ z, and z < w, then x < w.
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263–264; English translation: van Heijenoort 1967, p. 202. In 1923, John von Neumann developed an axiom system that eliminates the paradoxes by using an approach similar to Cantor's—namely, by identifying collections that are not sets and treating them differently. Von Neumann stated that a class is too big to be a set if it can be put into one- to-one correspondence with the class of all sets. He defined a set as a class that is a member of some class and stated the axiom: A class is not a set if and only if there is a one-to-one correspondence between it and the class of all sets.
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In 1999 he would host a season of Comic View on Black Entertainment Television. His latest television appearance as a stand-up comedian would be a set on Martin Lawrence's First Amendment Stand Up on the STARZ Network in 2009. To date Lester Barrie still makes frequent appearances at the Laugh Factory in Hollywood and Long Beach, California. Lester Barrie also enjoyed moderate success in small acting roles as well, most notably guest-starred on several episodes of Fox's & Sci-Fi Networks Sliders and best known for a guest role in the Wayans brothers film Don't Be a Menace to South Central While Drinking Your Juice in the Hood as the Preacher.
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Bahria College Islamabad - Oath Taking Ceremony 2009 A Teacher's Oath is an oath taken in some countries by teachers. In 1993, the German educator designed the Socratic Oath, which is supposed to be a set of professional guidelines for educators, teachers and paedagogues. Today there are many different versions of the Teacher's Oath, for example the Comenius Oath in Finland, Teachers' Oath Taking in Philippines, Abdul Kalam Teachers Oath in India, Teachers Pledge in SingaporePledge by Teachers is Singapore and Betimi i Mësuesit in Kosovo.Mbahet ceremonia e diplomimit (betimit) të studentëve të Fakultetit të Edukimit, Universiteti i Prishtinës Since 1863, nearly two- thirds of US states have adopted loyalty oaths for teachers.
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His main contributions to those topics and are the papers and . In the first one he proves that a condition on a sequence of integrable functions previously introduced by Mauro Picone is both necessary and sufficient in order to assure that limit process and the integration process commute, both in bounded and unbounded domains: the theorem is similar in spirit to the dominated convergence theorem, which however only states a sufficient condition. The second paper contains an extension of the Lebesgue's decomposition theorem to finitely additive measures: this extension required him to generalize the Radon–Nikodym derivative, requiring it to be a set function belonging to a given class and minimizing a particular functional.
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Let X be a set, and let I be an ideal of negligible subsets of X. If p is a proposition about the elements of X, then p is true almost everywhere if the set of points where p is true is the complement of a negligible set. That is, p may not always be true, but it's false so rarely that this can be ignored for the purposes at hand. If f and g are functions from X to the same space Y, then f and g are equivalent if they are equal almost everywhere. To make the introductory paragraph precise, then, let X be N, and let the negligible sets be the finite sets.
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In the formal language of the Zermelo–Fraenkel axioms, the axiom reads: :\forall A \, \forall B \, ( \forall X \, (X \in A \iff X \in B) \implies A = B) or in words: :Given any set A and any set B, if for every set X, X is a member of A if and only if X is a member of B, then A is equal to B. :(It is not really essential that X here be a set -- but in ZF, everything is. See Ur-elements below for when this is violated.) The converse, \forall A \, \forall B \, (A = B \implies \forall X \, (X \in A \iff X \in B) ), of this axiom follows from the substitution property of equality.
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An HMO or other managed care plan can contract with an IPA, which in turn contracts with independent care providers or physicians to treat members at discounted fees or on a capitation basis. The typical IPA encompasses all specialties, but an IPA can be solely for primary care, could be single specialty, or could be a set of other care providers such as psychologists or even providers of social services such as food pantries, homeless shelters, or substance use disorder treatment facilities. IPAs are typically formed as an LLC, S Corp, C Corp, or other stock entity. Their purpose is not to generate a profit for the shareholders although this can be done.
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In the early 1940s in Germany doctors conducted Nazi human experimentation on unwilling test subjects; one way of describing the procedures could be to call it medical torture. After the Allied Forces won World War II, United States authorities who held the Nuremberg Palace of Justice used that building to host the Doctors' Trial in which Nazi researchers were charged with crimes against humanity for unethical research practices. After the Subsequent Nuremberg Trials many people felt compelled to create laws to codify some research guidelines to protect research participants and define acceptable relationships between researchers and research participants. In 1949 the Nuremberg Code was published to be a set of guidelines to guide researchers who work with human subjects.
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The act is likely to be labelled as deviant and criminal, which can have the effect of an individual internalizing that label and acting out accordingly. Lemert made another distinction between primary deviance and secondary deviance. Originally, there may not be a distinguished group of "deviant" people, but instead we all switch in and out of deviant behavior and a minority or these individuals starting the rule-breaking acts actually get the attention of others. In that very moment, a person is engaging in secondary deviance and it is said that they start following a more deviant path, or a deviant career - would be a set of roles shaped by the reactions of others in different situations.
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We need V to be a set of functions of \Omega. In the figure on the right, we have illustrated a triangulation of a 15 sided polygonal region \Omega in the plane (below), and a piecewise linear function (above, in color) of this polygon which is linear on each triangle of the triangulation; the space V would consist of functions that are linear on each triangle of the chosen triangulation. One hopes that as the underlying triangular mesh becomes finer and finer, the solution of the discrete problem (3) will in some sense converge to the solution of the original boundary value problem P2. To measure this mesh fineness, the triangulation is indexed by a real-valued parameter h > 0 which one takes to be very small.
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Sommelier and wine shop owner Steven Spurrier (Alan Rickman), a British expatriate living in Paris, is concerned with how to save his business in his daily conversation with Maurice (Dennis Farina), a wine lover from Milwaukee who is Spurrier's regular (sometimes only) customer. He concocts a plan to hold a blind taste-test intended to introduce Parisians to the quality wines coming from elsewhere in the world. Spurrier travels to the not-yet- famous Napa Valley in search of contestants for his Judgment of Paris taste test, where a chance meeting introduces him to founding vintner Jim Barrett (Bill Pullman) of Chateau Montelena. Barrett wants no part in it, believing it to be a set-up designed by the French to humiliate New World wine producers.
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Although his figures show the distortions typical of his master, he introduced elements from daily life, rendered in a naturalistic style that offsets their lack of realism. His most important works may be a set of paintings made for the main altarpiece at the church of Saint Benedict of Nursia in Yepes, from approximately 1616, which includes six scenes from the life of Jesus and eight half-figures of various saints. During the Spanish Civil War, the altar was largely destroyed, but the torn canvases were repaired at the Museo del Prado and all but two were returned to the church in 1942. Other works include "Saint Louis Distributing Alms", currently in the Louvre, and "The Round of Bread and Eggs" at the Museum of Santa Cruz.
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In this case, the committee must be an independent transversal, where the underlying graph describes the "dislike" relations. Another generalization of the concept of a transversal would be a set that just has a non-empty intersection with each member of C. An example of the latter would be a Bernstein set, which is defined as a set that has a non-empty intersection with each set of C, but contains no set of C, where C is the collection of all perfect sets of a topological Polish space. As another example, let C consist of all the lines of a projective plane, then a blocking set in this plane is a set of points which intersects each line but contains no line.
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Though not referring specifically to quantum mechanics, Chalmers has written that if a theory of everything is ever discovered, it will be a set of "psychophysical laws", rather than simply a set of physical laws. With Chalmers as their inspiration, Bohm and Pylkkänen set out to do just that in their panprotopsychism. Chalmers, who is critical of the Copenhagen interpretation and most quantum theories of consciousness, has coined this "the Law of the Minimisation of Mystery." leftThe many-worlds interpretation of quantum mechanics does not take observation as central to the wave-function collapse, because it denies that the collapse happens. On the many-worlds interpretation, just as the cat is both dead and alive, the observer both sees a dead cat and sees a living cat.
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The syntactic definition states a theory T is consistent if there is no formula \varphi such that both \varphi and its negation \lnot\varphi are elements of the set of consequences of T. Let A be a set of closed sentences (informally "axioms") and \langle A\rangle the set of closed sentences provable from A under some (specified, possibly implicitly) formal deductive system. The set of axioms A is consistent when \varphi, \lnot \varphi \in \langle A \rangle for no formula \varphi. (Please note definition of Mod(T) on p. 30 ...) If there exists a deductive system for which these semantic and syntactic definitions are equivalent for any theory formulated in a particular deductive logic, the logic is called complete.
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It was derived from mathematical calculations that considered both brilliance and fire of the stone. Marcel Tolkowsky found that if a diamond was cut too deep or shallow then light would escape out the sides or bottom of the diamond resulting in a loss of brilliance (white light reflected up through the top of a diamond), fire (colored light reflected from within a diamond), and sparkle (combination of fire and brilliance).Diamond Design, A Study of the Reflection and Refraction of Light in a Diamond, 1919, M. Tolkowsky, The original model was intended to be a set of general guidelines; several aspects of a diamond's cut had not been accounted for or explored. Later modifications of round brilliants differ in minor ways.
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An informal definition could be "a set of rules that precisely defines a sequence of operations",Stone 1973:4 which would include all computer programs (including programs that do not perform numeric calculations), and (for example) any prescribed bureaucratic procedure or cook-book recipe. In general, a program is only an algorithm if it stops eventuallyStone simply requires that "it must terminate in a finite number of steps" (Stone 1973:7–8). \- even though infinite loops may sometimes prove desirable. A prototypical example of an algorithm is the Euclidean algorithm, which is used to determine the maximum common divisor of two integers; an example (there are others) is described by the flowchart above and as an example in a later section.
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Formally, assuming the axiom of choice, the cardinality of a set X is the least ordinal α such that there is a bijection between X and α. This definition is known as the von Neumann cardinal assignment. If the axiom of choice is not assumed we need to do something different. The oldest definition of the cardinality of a set X (implicit in Cantor and explicit in Frege and Principia Mathematica) is as the set of all sets that are equinumerous with X: this does not work in ZFC or other related systems of axiomatic set theory because this collection is too large to be a set, but it does work in type theory and in New Foundations and related systems.
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Scientific theories are sometimes labeled "numerology" if their primary inspiration appears to be a set of patterns rather than scientific observations. This colloquial use of the term is quite common within the scientific community and it is mostly used to dismiss a theory as questionable science. The best known example of "numerology" in science involves the coincidental resemblance of certain large numbers that intrigued such eminent men as mathematical physicist Paul Dirac, mathematician Hermann Weyl and astronomer Arthur Stanley Eddington. These numerical coincidences refer to such quantities as the ratio of the age of the universe to the atomic unit of time, the number of electrons in the universe, and the difference in strengths between gravity and the electric force for the electron and proton.
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Suppose, to the contrary, that there is a function, f, on the natural numbers with f(n+1) an element of f(n) for each n. Define S = {f(n): n a natural number}, the range of f, which can be seen to be a set from the axiom schema of replacement. Applying the axiom of regularity to S, let B be an element of S which is disjoint from S. By the definition of S, B must be f(k) for some natural number k. However, we are given that f(k) contains f(k+1) which is also an element of S. So f(k+1) is in the intersection of f(k) and S. This contradicts the fact that they are disjoint sets.
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Shortly after, Salvatore asks Claude to deal with a minor problem, but his trophy wife Maria reveals it to be a set-up. Claiming that Salvatore has become paranoid and intends to kill him, Claude takes her with him to Staunton Island. Maria introduces Claude to the Yakuza, led by Asuka Kasen and her brother Kenji, who assign him work after he assassinates Salvatore to cut his ties with the Leone family. During this time, Claude also meets corrupt LCPD detective Ray Machowski, whom he later helps flee the city, and media mogul Donald Love, who has him carry out a hit on Kenji under the guise of a Cartel attack to start a gang war that will allow him to obtain real estate for his businesses.
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That is done by subtracting the TDOA equation of receiver m = 1 from each of the others (2 \le m \le N) Focus for a moment on equation . Square R_0, group similar terms and use equation to replace some of the terms with R_0. Combine equations and , and write as a set of linear equations (for 2 \le m \le N) of the unknown emitter location x,y,z Use equation to generate the four constants A_m,B_m,C_m,D_m from measured distances and time for each receiver 2 \le m \le N. This will be a set of N-1 inhomogeneous linear equations. There are many robust linear algebra methods that can solve for (x,y,z), such as Gaussian elimination.
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The class of von Neumann ordinals can be well- ordered. It cannot be a set (under pain of paradox); hence that class is a proper class, and all proper classes have the same size as V. Hence V too can be well-ordered. MK can be confused with second-order ZFC, ZFC with second- order logic (representing second-order objects in set rather than predicate language) as its background logic. The language of second-order ZFC is similar to that of MK (although a set and a class having the same extension can no longer be identified), and their syntactical resources for practical proof are almost identical (and are identical if MK includes the strong form of Limitation of Size).
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A collective network may be defined a set of social groups linked, directly or indirectly, by some common bond, shared group status, similar or shared group functions, or geographic or cultural connection; the intergroup links also reinforce the intragroup links, hence the group identity. In informal types of associations, such as the mobilisation of social movements, a collective network may be a set of groups whose individuals, though not necessarily knowing each other or sharing anything outside the organising criteria of the network, are psychologically bound to the network itself and are willing to maintain it indefinitely, tying the internal links among the persons in a group while forming new links with the persons in other groups of the collective network.
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However, it turns out to be a set-up and Hirono, finding himself abandoned by Yamamori and hunted by the Doi family, turns himself in for murdering Doi. Wakasugi murders Kanbara in revenge, but an anonymous tip to the police leads them to his girlfriend's house and he is killed trying to escape. With the Korean War raging in the 1950s, the Yamamori family thrives thanks to war contracts and expands in the immediate years, but internal strife begins when members start dealing philopon due to the high kickbacks the boss takes off their earnings. Sakai, who follows Yamamori's orders not to sell, feuds with Shinkai when he discovers Shinkai's right-hand man, Toshio Arita, is involved in dealing; however, he agrees that Yamamori's take is too high.
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Despite the great importance Islamists gave to strict adherence to Sharia, many were not trained jurists. Islamic scholar and moderate Abou el Fadl complains that "neither Qutb nor Mawdudi were trained jurists, and their knowledge of the Islamic jurisprudential tradition was minimal. Nevertheless, like `Abd al-Wahhad, Mawdudi and Qutb imagined Islamic law to be a set of clear cut, inflexible and rigid positive commands that covered and regulated every aspect of life."Abou El Fadl, Great Theft, 2005: p. 82 Dale C. Eikmeier points out the "questionable religious credentials" of many Islamist theorists, or "Qutbists," which can be a "means to discredit them and their message": > With the exception of Abul Ala Maududi and Abdullah Azzam, none of Qutbism’s > main theoreticians trained at Islam’s recognized centers of learning.
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At first, Claude does small job for made man Luigi Goterelli, but is eventually introduced to higher-ranking Leones, such as caporegime Toni Cipriani and the Don's son Joey Leone, whom he assists in their conflict with the Triads. Ultimately, Claude earns the respect of Don Salvatore Leone, who, after discovering that the Cartel are manufacturing a new street drug to fund their expansion into Liberty City, instructs Claude to destroy their floating drug lab with 8-Ball's help. Shortly after, Salvatore asks Claude to deal with a minor problem, but his trophy wife Maria, whom he met during an earlier job for Salvatore, reveals it to be a set-up. Claiming that Salvatore has become paranoid and intends to kill him, Claude takes her with him to Staunton Island.
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The is secret volunteer army amidst the Jōi faction led by Shinsuke Takasugi. In existence since the war with the Amanto, they remain the only section who remain devoted to the original mission of violently freeing Japan from the grip of invaders, whether it be by the recruitment of soldiers or the development of weaponry that would destroy those who face them. The actions of Takasugi and the Kiheitai was once antagonize those who either have come to terms or who have blended in with the new society such as Gintoki or Katsura, until revealed to be a set by Tendoshu to kill Shige Shige and replaced by Nobu Nobu, Kiheitai will play most important supportive role in upcoming Boshin War. This is based on the historical counterpart, the Kiheitai.
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Mathematically, scalar fields on a region U is a real or complex-valued function or distribution on U. The region U may be a set in some Euclidean space, Minkowski space, or more generally a subset of a manifold, and it is typical in mathematics to impose further conditions on the field, such that it be continuous or often continuously differentiable to some order. A scalar field is a tensor field of order zero, and the term "scalar field" may be used to distinguish a function of this kind with a more general tensor field, density, or differential form. The scalar field of \sin (2\pi(xy+\sigma)) oscillating as \sigma increases. Red represents positive values, purple represents negative values, and sky blue represents values close to zero.
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Dismissal: Your Rights, UK.Gov Following discussions with an employer, an employee can agree not to pursue a claim for unfair dismissal if they reach a settlement agreement (historically a compromise agreement). For a settlement agreement to be binding the employee must have taken advice as to the effect of the agreement from a relevant independent adviser, that is a qualified lawyer; a Trade Union certified and authorised officer, official, employee or member; or a certified advice centre worker.ERA 1996, s. 203 In 2011, Aikens LJ summarized the jurisprudence on what constitutes an unfair dismissal: #The reason for the dismissal of an employee is a set of facts known to an employer, or it may be a set of beliefs held by him, which causes him to dismiss an employee.
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Former Chief Justice of Indonesian Constitutional Court, Jimly Asshiddiqie, also wrote his book on "The Court of Ethics and Constitutional Ethics" (2014) advocating a new perspective on the 'rule of ethics' besides the doctrine of the 'rule of law'. This interpretation of the Constitution intends to create a change in the application of law and in particular Constitutional Law from a rule of law paradigm to a morality-based paradigm, and would require the explanation and description of the moral code as a principle of operation of the government specified in the constitution as a fundamental component of its structure. The description of a rule of morality, or moral code can come in two forms. It can be a set of rules, such as the biblical Ten Commandments, and is the form of most legal systems of government today.
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A snippet of the input file for a TAS of a Game Boy Advance game, as seen on a text editor Creating a tool-assisted speedrun is the process of finding the optimal set of inputs to fulfill a given criterion — usually completing a game as fast as possible. No limits are imposed on the tools used for this search, but the result has to be a set of timed key-presses that, when played back on the actual console, achieves the target criterion. The basic method used to construct such a set of inputs is to record one's input while playing the game on an emulator, all the while saving and loading the emulator's state repeatedly to test out various possibilities and only keep the best result. To make this more precise, the game is slowed down.
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In set theory, the axiom schema of replacement is a schema of axioms in Zermelo–Fraenkel set theory (ZF) that asserts that the image of any set under any definable mapping is also a set. It is necessary for the construction of certain infinite sets in ZF. The axiom schema is motivated by the idea that whether a class is a set depends only on the cardinality of the class, not on the rank of its elements. Thus, if one class is "small enough" to be a set, and there is a surjection from that class to a second class, the axiom states that the second class is also a set. However, because ZFC only speaks of sets, not proper classes, the schema is stated only for definable surjections, which are identified with their defining formulas.
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100px : Let X be a set and i\colon X\to L a morphism of sets from X into a Lie algebra L. The Lie algebra L is called free on X if i is the universal morphism; that is, if for any Lie algebra A with a morphism of sets f\colon X \to A, there is a unique Lie algebra morphism g\colon L\to A such that f = g\circ i. Given a set X, one can show that there exists a unique free Lie algebra L(X) generated by X. In the language of category theory, the functor sending a set X to the Lie algebra generated by X is the free functor from the category of sets to the category of Lie algebras. That is, it is left adjoint to the forgetful functor. The free Lie algebra on a set X is naturally graded.
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417 To clarify this point, it may be noticed that the special cases in question are also precisely those where J. B. Clark's old model of aggregate marginal productivity holds strictly true, leading to equality between the equilibrium levels of the real wage rate and labour's aggregate marginal product, a hypothesis regarded as disproved by all sides during the Cambridge capital controversy. One would thus have a "pure" state of capitalist society where Marx's exploitation theory and its main supposed confutation were both true. Like Clark's contention about the "fairness" of marginal-productivity wages, so Marx's basic argument--from the "substance" of value to the concept of exploitation--is claimed to be a set of non-analytical and non-empirical propositions. That is why, being non-falsifiable, both theories may be found to apply to the same formal and/or empirical object, though they are supposed to negate each other.
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Just after Gene plays some notes on the buttons lining the corpulent stomach of Hudson's Bay, Daffy dons a zoot suit coat, gloves and a curly, blonde wig, as well as what appears to be a set of fake teeth. Daffy orders for the music to "STOP!" and the jam session screeches to a halt. Standing in front of a book called "Danny Boy" with the classic Ukrainian tune Ochi chyornye as background music and the background becoming one with illegible newsprint superimposed on silhouettes of urban buildings, Daffy (effecting Danny Kaye's fake Russian accent) says "pooey!" to swing music and jazz. He then starts reminiscing about his "natife willage" with its "soft music", "why-o-leens" and the "happy peoples sitting on their balalaikas, playing their samowars" (misusing both terms) and also talks about a girl called Cucaracha, who he describes as "so round, so firm, so fully packed, so easy on the draw".
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H(3,3) drawn as a unit distance graph Hamming graphs are a special class of graphs named after Richard Hamming and used in several branches of mathematics and computer science. Let S be a set of q elements and d a positive integer. The Hamming graph H(d,q) has vertex set Sd, the set of ordered d-tuples of elements of S, or sequences of length d from S. Two vertices are adjacent if they differ in precisely one coordinate; that is, if their Hamming distance is one. The Hamming graph H(d,q) is, equivalently, the Cartesian product of d complete graphs Kq.. In some cases, Hamming graphs may be considered more generally as the Cartesian products of complete graphs that may be of varying sizes.. Unlike the Hamming graphs H(d,q), the graphs in this more general class are not necessarily distance-regular, but they continue to be regular and vertex-transitive.
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N. Marlow, Senior Lecturer in Latin, Department of Classics at the university in the 1960s), the motto Arduus ad solem – taken from Aeneid II – was a play on words, relating to Manchester's geographical situation. The Virgilian context referred to Pyrrhus, appearing in shining armour 'like a snake which has sloughed its skin, reaching upwards with an effort towards the sun'; the motto was chosen by the Professor of Latin at the time (Augustus Wilkins) and the coat of arms was applied for – suggesting both the idea of the institution striving towards excellence, and the city (with its particularly high annual rainfall) 'reaching upwards with difficulty towards the sun'. The emblem of the university in use for a number of years (last used September 2004) was based on the archway into the quadrangle from Oxford Road where there used to be a set of coats of arms relating to the history of the component colleges on the gates.
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A class C of ordinals is said to be unbounded, or cofinal, when given any ordinal \alpha, there is a \beta in C such that \alpha < \beta (then the class must be a proper class, i.e., it cannot be a set). It is said to be closed when the limit of a sequence of ordinals in the class is again in the class: or, equivalently, when the indexing (class-)function F is continuous in the sense that, for \delta a limit ordinal, F(\delta) (the \delta-th ordinal in the class) is the limit of all F(\gamma) for \gamma < \delta; this is also the same as being closed, in the topological sense, for the order topology (to avoid talking of topology on proper classes, one can demand that the intersection of the class with any given ordinal is closed for the order topology on that ordinal, this is again equivalent). Of particular importance are those classes of ordinals that are closed and unbounded, sometimes called clubs.
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In ZFC, the order type of a well- ordering W is then defined as the unique von Neumann ordinal which is equinumerous with the field of W and membership on which is isomorphic to the strict well-ordering associated with W. (the equinumerousness condition distinguishes between well-orderings with fields of size 0 and 1, whose associated strict well-orderings are indistinguishable). In ZFC there cannot be a set of all ordinals. In fact, the von Neumann ordinals are an inconsistent totality in any set theory: it can be shown with modest set theoretical assumptions that every element of a von Neumann ordinal is a von Neumann ordinal and the von Neumann ordinals are strictly well-ordered by membership. It follows that the class of von Neumann ordinals would be a von Neumann ordinal if it were a set: but it would then be an element of itself, which contradicts the fact that membership is a strict well-ordering of the von Neumann ordinals.
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Fortune, however, focused instead on the difficulty of the missions themselves, praising the challenge and variety of tactics needed to complete the game and lauding it for having "some of the best fleet battles ever seen in a computer game". Levine, Ryan, Keefer, and Lopez all noted the connected mission structure as an innovation in the genre: by limiting the resources to build ships and pulling the same fleet through the missions, Homeworld converted what would usually be a set of disconnected missions into "chapters" of a continuous game. They felt this connected the player to their fleet as more than disposable units, and added a level of strategy to the game. Keefer and Levine did note, however, that this added a great deal of difficulty to the game, especially for more casual players, as the player could make decisions in earlier levels that rendered later ones very difficult to complete without an explicit difficulty level to counteract it.
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XHTML and HTML standards allow for the embedding and encoding of semantics within the attributes of markup elements. Microformats take advantage of these standards by indicating the presence of metadata using the following attributes: ; `class` : Classname ; `rel` : relationship, description of the target address in an anchor-element (`[...](...)`) ; `rev` : reverse relationship, description of the referenced document (in one case, otherwise deprecated in microformats) For example, in the text "The birds roosted at 52.48, -1.89" is a pair of numbers which may be understood, from their context, to be a set of geographic coordinates. With wrapping in spans (or other HTML elements) with specific class names (in this case `geo`, `latitude` and `longitude`, all part of the geo microformat specification): The birds roosted at 52.48, -1.89 software agents can recognize exactly what each value represents and can then perform a variety of tasks such as indexing, locating it on a map and exporting it to a GPS device.
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The Aces' 2012 season was largely unimpressive, earning just 11 points from 12 games and finishing 7th out of 11 teams in the Big Sky – South division. In 2013, the Aces were part of a group of seven teams slated to play in the second season of the WPSL Elite, which was to be a set of games played in addition to regular WPSL games (unlike the 2012 WPSL Elite that was truly its own league), but organization ultimately fell through. The Aces won the 2013 National Women's Open, defeating all three other teams by a combined scoreline of 8-1; their academy team also qualified for the 2013 National Women's U23 competition, but failed to qualify for the final with a 1–2 record and a combined score of 4–8. This was accomplished as part of a 2013 season so far undefeated in all competitions, winning sixteen straight games from friendlies in May through mid-July - a far change from their 2012 season.
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Another way of stating Rice's theorem that is more useful in computability theory follows. Let S be a set of languages that is nontrivial, meaning # there exists a Turing machine that recognizes a language in S, # there exists a Turing machine that recognizes a language not in S. Then it is undecidable to determine whether the language recognized by an arbitrary Turing machine lies in S. In practice, this means that there is no machine that can always decide whether the language of a given Turing machine has a particular nontrivial property. Special cases include the undecidability of whether a Turing machine accepts a particular string, whether a Turing machine recognizes a particular recognizable language, and whether the language recognized by a Turing machine could be recognized by a nontrivial simpler machine, such as a finite automaton. It is important to note that Rice's theorem does not say anything about those properties of machines or programs that are not also properties of functions and languages.
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After five introductory chapters on naive set theory and set-theoretic notation, and a sixth chapter on the axiom of choice, the book has four chapters on cardinal numbers, their arithmetic, and series and products of cardinal numbers, comprising approximately 50 pages. Following this, four longer chapters (totalling roughly 180 pages) cover orderings of sets, order types, well-orders, ordinal numbers, ordinal arithmetic, and the Burali-Forti paradox according to which the collection of all ordinal numbers cannot be a set. Three final chapters concern aleph numbers and the continuum hypothesis, statements equivalent to the axiom of choice, and consequences of the axiom of choice. The second edition makes only minor changes to the first except for adding footnotes concerning two later developments in the area: the proof by Paul Cohen of the independence of the continuum hypothesis, and the construction by Robert M. Solovay of the Solovay model in which all sets of real numbers are Lebesgue measurable.
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On May 6, 2014 at their yearly Fanfest convention, CCP announced the move from the current development cycle of two expansions per year, to ten feature-releases per year on a rapid release cycle. Senior Producer of EVE Online Andie Nordgren (CCP Seagull) stated that the move was to necessary for future developments to have a more flexible release cycle, rather than the deadline imposed on the previous system, allowing smaller patches and changes to be deployed more rapidly and large projects not having to be rushed due to the expansion deadline. However, in September 2015, Nordgren announced that CCP, while continuing with a five-week release cycle, would return to intermittently releasing large scale expansions for EVE. She described the new release cycle as a "hybrid form", where expansions would be "a set of big, connected features" with no fixed number per year, while the feature-releases would continue to bring "quality of life changes, ship balance changes, visual upgrades" and other smaller additions.
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In mathematics, let A be a set and let ≤ be a binary relation on A. Then a subset B of A is said to be cofinal if it satisfies the following condition: :For every a ∈ A, there exists some b ∈ B such that a ≤ b. This definition is most commonly applied when A is a partially ordered set or directed set under the relation ≤. Cofinal subsets are very important in the theory of directed sets and nets, where “cofinal subnet” is the appropriate generalization of “subsequence”. They are also important in order theory, including the theory of cardinal numbers, where the minimum possible cardinality of a cofinal subset of A is referred to as the cofinality of A. A subset B of A is said to be coinitial (or dense in the sense of forcing) if it satisfies the following condition: :For every a ∈ A, there exists some b ∈ B such that b ≤ a.
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In this more general context, the convex hull of a set S is the intersection of the family members that contain S, and the Radon number of a space is the smallest r such that any r points have two subsets whose convex hulls intersect. Similarly, one can define the Helly number h and the Carathéodory number c by analogy to their definitions for convex sets in Euclidean spaces, and it can be shown that these numbers satisfy the inequalities h < r ≤ ch + 1.. In an arbitrary undirected graph, one may define a convex set to be a set of vertices that includes every induced path connecting a pair of vertices in the set. With this definition, every set of ω + 1 vertices in the graph can be partitioned into two subsets whose convex hulls intersect, and ω + 1 is the minimum number for which this is possible, where ω is the clique number of the given graph.. For related results involving shortest paths instead of induced paths see and .
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Castine was at anchor in the harbor of Santo Domingo along with the armored cruiser Memphis on 29 August 1916 when, shortly after 12:00, an unexpected heavy swell began to develop and the ships began to roll heavily. Castine and Memphis both made preparations to leave the harbor and began to raise steam; Memphis expected to be able to get underway at about 16:35, with the smaller Castine able to do so earlier. Conditions in the harbor had deteriorated badly by 15:45, when the ships sighted an approaching wave of yellow water stretching along the entire horizon. By 16:00, the wave was closer, had turned ochre in color, and had reached about in height; at the same time, the ships began to roll very heavily, with Memphis rolling 45°. Around 16:40, the giant wave the ships had seen approaching over the past hour arrived; it turned out to be a set of three waves of up to in height striking in rapid succession.
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For example, the path length of point xi in Fig. 2 is greater than the path length of xj in Fig. 3. More formally, let X = { x1, ..., xn } be a set of d-dimensional points and X’ ⊂ X a subset of X. An Isolation Tree (iTree) is defined as a data structure with the following properties: # for each node T in the Tree, T is either an external-node with no child, or an internal-node with one “test” and exactly two daughter nodes (Tl, Tr) # a test at node T consists of an attribute q and a split value p such that the test q < p determines the traversal of a data point to either Tl or Tr. In order to build an iTree, the algorithm recursively divides X’ by randomly selecting an attribute q and a split value p, until either (i) the node has only one instance or (ii) all data at the node have the same values. When the iTree is fully grown, each point in X is isolated at one of the external nodes.
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Designating each vertex or set of connected vertices a "component", pseudocode for Borůvka's algorithm is: algorithm Borůvka is input: A graph G whose edges have distinct weights. output: F is the minimum spanning forest of G. Initialize a forest F to be a set of one-vertex trees, one for each vertex of the graph. while F has more than one component do Find the connected components of F and label each vertex of G by its component Initialize the cheapest edge for each component to "None" for each edge uv of G do if u and v have different component labels: if uv is cheaper than the cheapest edge for the component of u then Set uv as the cheapest edge for the component of u if uv is cheaper than the cheapest edge for the component of v then Set uv as the cheapest edge for the component of v for each component whose cheapest edge is not "None" do Add its cheapest edge to F If edges do not have distinct weights, then a consistent tie-breaking rule (e.g. breaking ties by the object identifiers of the edges) can be used.
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Let H be a set of measurable functions with the following properties: (I) H is compact (for the topology of pointwise convergence); (II) H is convex; (III) H satisfies the "separation property". Then H is metrizable. The proof of the existence of a lifting commuting with the left translations of an arbitrary locally compact group, by the Ionescu Tulceas, is highly non-trivial; it makes use of approximation by Lie groups, and martingale-type arguments tailored to the group structure. In the early 1960s she worked with C. Ionescu Tulcea on martingales taking values in a Banach space. In a certain sense, this work launched the study of vector- valued martingales, with the first proof of the ‘strong’ almost everywhere convergence for martingales taking values in a Banach space with (what later became known as) the Radon–Nikodym property; this, by the way, opened the doors to a new area of analysis, the "geometry of Banach spaces". These ideas were later extended by Bellow to the theory of ‘uniform amarts’, (in the context of Banach spaces, uniform amarts are the natural generalization of martingales, quasi-martingales and possess remarkable stability properties, such as optional sampling), now an important chapter in probability theory.
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