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Page "History of topos theory" ¶ 6
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Such and definition
Such a definition can be formulated in terms of equivalence classes of smooth functions on M. Informally, we will say that two smooth functions f and g are equivalent at a point x if they have the same first-order behavior near x.
Such a definition generalizes to the concept of an identity morphism in category theory, where the endomorphisms of M need not be functions.
Such approaches implicitly entail Stevens's definition of measurement, which requires only that numbers are assigned according to some rule.
Such strong guarantees are required of systems for which not reacting in a certain interval of time would cause great loss in some manner, especially damaging the surroundings physically or threatening human lives ( although the strict definition is simply that missing the deadline constitutes failure of the system ).
Such terms are often politicised, and bear little connection to the precise ethnological or historical definition of the term " Anglo-Saxon ".
The definition of a Clifford algebra endows it with more structure than a " bare " K-algebra: specifically it has a designated or privileged subspace that is isomorphic to V. Such a subspace cannot in general be uniquely determined given only a K-algebra isomorphic to the Clifford algebra.
Such a definition arbitrarily excludes disciplines other than history, cultures other than Western, and forms of music other than " classical " (" art ", " serious ", " high culture ") or notated (" artificial ")-implying that the omitted disciplines, cultures, and musical styles / genres are somehow inferior.
Such definitions are used as a follow up to a theoretical definition, in which the specific concept is defined as a measurable occurrence.
Such definitions lead to a need for additional information that motivated someone to look at the definition in the first place and, thus, violate the principle of providing new or useful information.
Such elements include the essential idea of narrative structure, with identifiable beginnings, middles and endings, or exposition-development-climax-resolution-denouement, normally constructed into coherent plot lines ; a strong focus on temporality, which includes retention of the past, attention to present action, and protention / future anticipation ; a substantial focus on characters and characterization which is " arguably the most important single component of the novel "; a given heterogloss of different voices dialogically at play – " the sound of the human voice, or many voices, speaking in a variety of accents, rhythms and registers "; possesses a narrator or narrator-like voice, which by definition " addresses " and " interacts with " reading audiences ( see Reader Response theory ); communicates with a Wayne Booth-esque rhetorical thrust, a dialectic process of interpretation, which is at times beneath the surface, conditioning a plotted narrative, and other at other times much more visible, " arguing " for and against various positions ; relies substantially on now-standard aesthetic figuration, particularly including the use of metaphor, metonymy, synecdoche and irony ( see Hayden White, Metahistory for expansion of this idea ); is often enmeshed in intertextuality, with copious connections, references, allusions, similarities, parallels, etc.
Such measures usually do not fit within the definition of consensus.
Such words are usually terms that do not have a clear definition but are used to give the impression of a clear meaning.
Such considerations seem to call for a separate definition of " knowledge " to cover the biological systems.
Such stores as Marks & Spencer, Britain's largest clothes retailer would therefore not be included in the British definition of a department store.
Such a narrow circumscription of biosophy is in our opinion no obstacle to widen the definition to encompass all systematic thinking on biological issues.
Such elements include the essential idea of narrative structure, with identifiable beginnings, middles and ends, or exposition-development-climax-denouement, with important inciting incidents, normally constructed into coherent plot lines ; a strong focus on temporality that includes retention of the past, attention to present action and protention / future anticipation ; a substantial focus on characters and characterization which is " arguably the most important single component of the novel " ( David Lodge The Art of Fiction 67 ); a given hetergloss of different voices dialogically at play, " the sound of the human voice, or many voices, speaking in a variety of accents, rhythms and registers " ( Lodge The Art of Fiction 97 ; see also the theory of Mikhail Bakhtin for expansion of this idea ); possesses a narrator or narrator-like voice, which by definition " addresses " and " interacts with " reading audiences ( see Reader Response theory ); communicates with a Wayne Booth-esque rhetorical thrust, a dialectic process of interpretation, which is at times beneath the surface, conditioning a plotted narrative, and other at other times much more visible, " arguing " for and against various positions ; relies substantially on now-standard aesthetic figuration, particularly including the use of metaphor, metonymy, synecdoche and irony ( see Hayden White, Metahistory for expansion of this idea ); is often enmeshed in intertextuality, with copious connections, references, allusions, similarities, parallels, etc.
Such a deeply rooted definition of goodness would be valuable because it might allow one to construct a good life or society by reliable processes of deduction, elaboration or prioritisation.
Such a definition replaces the " one-to-many " model of traditional mass communication with the possibility of a " many-to-many " web of communication.
Such black holes by definition can not be observed ( light cannot escape them ), but various pieces of evidence strongly suggest their existence, both in the bulges of spiral galaxies and in the centers of ellipticals.
Such a use of coordinative definition is in effect, on Reichenbach's conventionalism, in the General Theory of Relativity where light is assumed, i. e. not discovered, to mark out equal distances in equal times.
Such results are typically true for all natural functions f but not necessarily true for artificially constructed f. To formulate them precisely, it is necessary to have a precise definition for a natural function f for which the theorem is true.
Such a disclaimer typically accompanies supplements rather than foods, but since the definition of functional food is still evolving and somewhat amorphous, a functional food may find itself bearing the warning.
Such a video is sometimes called enhanced definition video ( EDTV ), but is considered high definition video in Australia.

Such and was
Such was my state of mind that I did not question the possibility of this ; ;
Such ranchers as Coble and Clay and the Bosler brothers carried him on their books as a cowhand even while he was receiving a much larger salary from parties unknown.
Such was the impromptu that Voltaire gave to howls of laughter at Sans Souci and that was soon circulated in manuscript throughout the literary circles of Europe, to be printed sometime later, but with the name of Timon of Athens, the famous misanthrope, substituted for that of Rousseau.
Such a group of thermometers was obtained and calibrated at the Aj.
Such a Class was tried out successfully at the Westchester KC Show recently.
Such items recall the California journalist who reported an accident involving a movie star: `` The area in which Miss N -- was injured is spectacularly scenic ''.
Such a dual derivation was strikingly demonstrated during the injection process where initial filling would be noted to occur in several isolated pleural vessels at once.
Such legislation was clarified and extended from time to time thereafter.
Such was not the case in Rhode Island.
Such marchin' in wholesale numbers was called a `` drift '', or `` winter drift '', and if the storm was prolonged it usually resulted in one of the tragedies of the range.
Such an animal was said to be `` mealynosed ''.
Such optimism was completely unjustified.
Such a series of articles was certainly never printed in the public press of mid-Victorian England.
Such efforts almost always find themselves compelled to ask whether Adam was created capable of growing old and then older and then still older, in short, whether Adam's life was intended to be part of the process of time.
Such an analysis speedily reveals why the middle number of the Lo Shu, 5, was so vitally significant for the Chinese ever since the earliest hints that they had a knowledge of this diagram.
Such fascinating novelties in the score as the fugual treatment of `` On The Side Of The Angels '' and `` Politics And Poker '' were handled splendidly, and I thought Rudy Bond and his band of tuneful ward-heelers made `` Little Tin Box '' even better than it was done by the New York cast ; ;
Such breadth was customary among the leading scientific intellectuals of the day.
Such a feat was also attributed to Roger Bacon.
Such a " wild type " allele was historically regarded as dominant, common, and " normal ", in contrast to " mutant " alleles regarded as recessive, rare, and frequently deleterious.
Such replacements of CPU and memory system components were possible because the Aster CT-80 was designed to use a backplane that was designed to support both 8 and 16 bit processors, and used a modular Eurocard based design with slots to spare for expansion.
Such a tax was in effect for some period of time, raising at least $ AU 290 million after April 2008.

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