Generic Ultrapowers
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Generic Ultrapowers
Generic or generics may refer to: In business * Generic term, a common name used for a range or class of similar things not protected by trademark * Generic brand, a brand for a product that does not have an associated brand or trademark, other than the trading name of the business providing the product * Generic trademark, a trademark that sometimes or usually replaces a common term in colloquial usage * Generic drug, a drug identified by its chemical name rather than its brand name In computer programming * Generic function, a computer programming entity made up of all methods having the same name * Generic programming, a computer programming paradigm based on method/functions or classes defined irrespective of the concrete data types used upon instantiation ** Generics in Java In linguistics *A pronoun or other word used with a less specific meaning, such as: ** generic ''you'' ** generic ''he'' or generic ''she'' ** generic ''they'' * Generic mood, a grammatical mood used ...
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Generic Term
Trademark distinctiveness is an important concept in the law governing trademarks and service marks. A trademark may be eligible for registration, or registrable, if it performs the essential trademark function, and has distinctive character. Registrability can be understood as a continuum, with "inherently distinctive" marks at one end, "generic" and "descriptive" marks with no distinctive character at the other end, and "suggestive" and "arbitrary" marks lying between these two points. "Descriptive" marks must acquire distinctiveness through secondary meaning—consumers have come to recognize the mark as a source indicator—to be protectable. "Generic" terms are used to refer to the product or service itself and cannot be used as trademarks. The spectrum of distinctiveness In United States trademark law, Abercrombie & Fitch Co. v. Hunting World 537 F.2d 4 (2nd Cir. 1976) established the spectrum of trademark distinctiveness in the US, breaking trademarks into classes which ...
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Generic Antecedent
Generic antecedents are representatives of classes, referred to in ordinary language by another word (most often a pronoun), in a situation in which gender is typically unknown or irrelevant. These mostly arise in generalizations and are particularly common in abstract, theoretical or strategic discourse. Examples (with the antecedent in boldface and the referring pronoun in italics) include "readers of Wikipedia appreciate ''their'' encyclopedia," "the customer ''who'' spends in this market." The question of appropriate style for using pronouns to refer to such generic antecedents in the English language became politicized in the 1970s, and remains a matter of substantial dispute. Treatment in various languages Many languages share the following issue with English: the generic antecedent is a representative individual of a class, whose gender is unknown or irrelevant, but pronouns are gender-specific. In languages such as English that distinguish natural gender in pronouns ...
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Album – Generic Flipper
''Album – Generic Flipper'' is the debut studio album by the noise rock band Flipper. It was released in June 1982 by Subterranean Records. It is also referred to as ''Album'', ''Album: Generic'', ''Generic Flipper'' and just ''Generic''. It was issued on CD for the first time by American Recordings (formerly Def American) in 1992 and later deleted. In 2008, the rights reverted to Flipper, and the album was reissued on December 9, 2008, by Water Records. Former Nirvana bassist Krist Novoselic, who joined Flipper in 2006, contributed liner notes to the new reissue. Reception Robert Christgau praised the album, describing the music as "crude ("Everybody start at the same time, ready"), unremitting ("Sex Bomb" has seven words and lasts close to eight minutes), and immensely charitable and good-humored (Iggy with Jerry's soul, I'm not kidding)." He described the lyrics as "existential resignation at its most enthusiastic." "If great rock & roll is supposed to be about bre ...
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Genus
Genus ( plural genera ) is a taxonomic rank used in the biological classification of extant taxon, living and fossil organisms as well as Virus classification#ICTV classification, viruses. In the hierarchy of biological classification, genus comes above species and below family (taxonomy), family. In binomial nomenclature, the genus name forms the first part of the binomial species name for each species within the genus. :E.g. ''Panthera leo'' (lion) and ''Panthera onca'' (jaguar) are two species within the genus ''Panthera''. ''Panthera'' is a genus within the family Felidae. The composition of a genus is determined by taxonomy (biology), taxonomists. The standards for genus classification are not strictly codified, so different authorities often produce different classifications for genera. There are some general practices used, however, including the idea that a newly defined genus should fulfill these three criteria to be descriptively useful: # monophyly – all descendants ...
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Generic Role-playing Game System
A ''generic'' or ''universal'' role-playing game system is a role-playing game system designed to be independent of setting and genre. Its rules should, in theory, work the same way for any setting, world, environment or genre in which one would want to play. History The term "generic" has been used since the earliest days of gaming to describe a system that can be used for any type or style of game. There is some dispute among role-playing enthusiasts on when the concept of a generic system originated and which was the first one published. According to Shannon Appelcline, Chaosium's ''Basic Role-Playing'' (''BRP'', 1980), was the first generic role-playing system. ''BRP'' was a "cut-down" version of Chaosium's ''RuneQuest'' role-playing game and formed the foundation for the ''Stormbringer'' RPG, and was also adopted for '' Call of Cthulhu'', the first horror role-playing game. The publication of ''GURPS'' (''Generic Universal Role-Playing System'', 1986) as a completely setting ...
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1-generic
In mathematics, properties that hold for "typical" examples are called generic properties. For instance, a generic property of a class of functions is one that is true of "almost all" of those functions, as in the statements, "A generic polynomial does not have a root at zero," or "A generic square matrix is invertible." As another example, a generic property of a space is a property that holds at "almost all" points of the space, as in the statement, "If is a smooth function between smooth manifolds, then a generic point of is not a critical value of ." (This is by Sard's theorem.) There are many different notions of "generic" (what is meant by "almost all") in mathematics, with corresponding dual notions of "almost none" (negligible set); the two main classes are: * In measure theory, a generic property is one that holds almost everywhere, with the dual concept being null set, meaning "with probability 0". * In topology and algebraic geometry, a generic property is one th ...
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GENERIC Formalism
In non-equilibrium thermodynamics, GENERIC is an acronym for General Equation for Non-Equilibrium Reversible-Irreversible Coupling. It is the general form of dynamic equation for a system with both reversible and irreversible dynamics (generated by energy and entropy, respectively). GENERIC formalism is the theory built around the GENERIC equation, which has been proposed in its final form in 1997 by Miroslav Grmela and Hans Christian Öttinger. GENERIC equation The GENERIC equation is usually written as :\frac=L(x)\cdot\frac(x)+M(x)\cdot\frac(x). Here: * x denotes a set of variables used to describe the state space. The vector x can also contain variables depending on a continuous index like a temperature field. In general, x is a function S\rightarrow\mathbb R, where the set S can contain both discrete and continuous indexes. Example: x=(U,V,T(\vec r)) for a gas with nonuniform temperature, contained in a volume \Sigma\subset\mathbb R^3 (S=\\cup\Sigma) * E(x), S(x) are the s ...
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Generic Property
In mathematics, properties that hold for "typical" examples are called generic properties. For instance, a generic property of a class of functions is one that is true of "almost all" of those functions, as in the statements, "A generic polynomial does not have a root at zero," or "A generic square matrix is invertible." As another example, a generic property of a space is a property that holds at "almost all" points of the space, as in the statement, "If is a smooth function between smooth manifolds, then a generic point of is not a critical value of ." (This is by Sard's theorem.) There are many different notions of "generic" (what is meant by "almost all") in mathematics, with corresponding dual notions of "almost none" (negligible set); the two main classes are: * In measure theory, a generic property is one that holds almost everywhere, with the dual concept being null set, meaning "with probability 0". * In topology and algebraic geometry, a generic property is one th ...
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Generic Polynomial
In mathematics, a generic polynomial refers usually to a polynomial whose coefficients are indeterminates. For example, if , , and are indeterminates, the generic polynomial of degree two in is ax^2+bx+c. However in Galois theory, a branch of algebra, and in this article, the term ''generic polynomial'' has a different, although related, meaning: a generic polynomial for a finite group ''G'' and a field ''F'' is a monic polynomial ''P'' with coefficients in the field of rational functions ''L'' = ''F''(''t''1, ..., ''t''''n'') in ''n'' indeterminates over ''F'', such that the splitting field ''M'' of ''P'' has Galois group ''G'' over ''L'', and such that every extension ''K''/''F'' with Galois group ''G'' can be obtained as the splitting field of a polynomial which is the specialization of ''P'' resulting from setting the ''n'' indeterminates to ''n'' elements of ''F''. This is sometimes called ''F-generic'' or relative to the field ''F''; a Q-''generic'' polynomial, which is gene ...
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Generic Point
In algebraic geometry, a generic point ''P'' of an algebraic variety ''X'' is, roughly speaking, a point at which all generic properties are true, a generic property being a property which is true for almost every point. In classical algebraic geometry, a generic point of an affine or projective algebraic variety of dimension ''d'' is a point such that the field generated by its coordinates has transcendence degree ''d'' over the field generated by the coefficients of the equations of the variety. In scheme theory, the spectrum of an integral domain has a unique generic point, which is the zero ideal. As the closure of this point for the Zariski topology is the whole spectrum, the definition has been extended to general topology, where a generic point of a topological space ''X'' is a point whose closure is ''X''. Definition and motivation A generic point of the topological space ''X'' is a point ''P'' whose closure is all of ''X'', that is, a point that is dense in ''X''. T ...
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Generic Filter
In the mathematical field of set theory, a generic filter is a kind of object used in the theory of forcing, a technique used for many purposes, but especially to establish the independence of certain propositions from certain formal theories, such as ZFC. For example, Paul Cohen used forcing to establish that ZFC, if consistent, cannot prove the continuum hypothesis, which states that there are exactly aleph-one real numbers. In the contemporary re-interpretation of Cohen's proof, it proceeds by constructing a generic filter that codes more than \aleph_1 reals, without changing the value of \aleph_1. Formally, let ''P'' be a partially ordered set, and let ''F'' be a filter on ''P''; that is, ''F'' is a subset of ''P'' such that: #''F'' is nonempty #If ''p'', ''q'' ∈ ''P'' and ''p'' ≤ ''q'' and ''p'' is an element of ''F'', then ''q'' is an element of ''F'' (''F'' is closed upward) #If ''p'' and ''q'' are elements of ''F'', then there is an element ...
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Generic Mood
The gnomic (abbreviated ), also called neutral, generic, or universal aspect, mood, or tense, is a grammatical feature (which may refer to aspect, mood, or tense) that expresses general truths or aphorisms. Uses and occurrence Used to describe an aspect, the gnomic is considered neutral by not limiting the flow of time to any particular conception (for example, the conceptions of time as continuous, habitual, perfective, etc.). Used to describe a mood, the gnomic is considered neutral by not limiting the expression of words to the speaker's attitude toward them (e.g. as indicative, subjunctive, potential, etc.). Used to describe a tense, the gnomic is considered neutral by not limiting action, in particular, to the past, present, or future. Examples of the gnomic include such generic statements as: "birds fly"; "sugar is sweet"; and "a mother can always tell". If, as an aspect, it does take temporality into consideration, it may be called the empiric perfect aspect. Generally, ...
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