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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 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 a definition of a topos was eventually given five years later, around 1962, by Grothendieck and Verdier ( see Verdier's Bourbaki seminar Analysis Situs ).
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 arbitrarily
Such web-proxies can inspect both the initial request and the returned web page using arbitrarily complex rules and will not return any part of the page to the requester until a decision is made.
Such orbits are not closed because they never truly repeat, but they become arbitrarily close to a repeating orbit.
Such an individual may arbitrarily choose a date of birth which after later research is found to be false.

Such and excludes
Such a sequence might enter a repeating cycle that excludes 1, or increase without bound.
Such usage excludes the wider search marketing community that is engaged in other forms of SEM such as search engine optimization and search retargeting.

Such and disciplines
Such disciplines might include Reading, Writing, Literature, Foreign Languages, History, Mathematics, Science, Art, and Music.
Such theories draw on a variety of social scientific disciplines and approaches, and include historical theories such as:
Such domination led to abolition of whole academic disciplines such as genetics.
Such disciplines include: Anglican Studies, Biblical Studies, Canon Law, Canonical Practice, Conflict Studies, Counseling and Spirituality, Eastern Christian Studies, Ecclesiastical Administration, Ethics, Group Facilitation, First Nations Leadership, Interreligious Dialogue, Ministry, Mission Studies, Pastoral Theology, Philosophical Theology, Philosophy, Public Ethics, Religious Education, Social Communications, Spirituality, and Theology.
Such concepts are established in the Sunni branch of Islam, and in particular in the latter ’ s original Sufi schools of spiritual disciplines.
Such disciplines include history, philosophy, politics, anthropology, sociology, religion, criticism in the arts and humanities, and linguistics.
Such a Jack of all trades may be a master of integration, as such an individual knows enough from many learned trades and skills to be able to bring their disciplines together in a practical manner.
Such techniques are not legal in show disciplines and are exclusive to polo.

Such and other
Such certification shall be final and conclusive and shall not be subject to review by any other official or department, agency, or establishment of the United States.
Such planning will require the cooperation of other occupants and of the apartment management.
Such a depreciation policy would also, we believe, prove a very important factor in strengthening the competitive position of the U. S. textile and other industries, thus helping to strengthen the position of the dollar in foreign exchange.
Such treatments of the conjugates have usually been successful in eliminating nonspecific staining in several other systems ( Coons, 1958 ).
Such training would increase the tendency of workers to leave the area and find jobs in other localities.
Such mannerisms would be less worthy of remark, were it not that in Great Expectations, as in no other of Dickens' novels, hands serve as a leitmotif of plot and theme -- a kind of unifying symbol or natural metaphor for the book's complex of human interrelationships and the values and attitudes that motivate them.
Such associations suit well with the gothic or mystery-story aspects of Dickens' novel, but, on a deeper plane, they relate to the themes of sin, guilt, and pursuit that have recently been analyzed by other critics.
Such songs were originally addressed to Apollo, and afterwards to other gods: to Dionysus, to Apollo Helios, to Apollo's son Asclepius the healer.
Such information may not be amenable to analysis by other means ( e. g. TEM ) owing to the difficulty in generating a three dimensional dataset with composition.
Such sightings and stories may simply be a more modern manifestation of earlier stories of mythical black dogs and other such creatures in remote areas of Britain, such as those that inspired The Hound of the Baskervilles.
Such clauses are of interest because they are able to express implication of one variable from a set of other variables.
Such games are also created to capitalize on the popularity of other forms of entertainment, such as Pokémon and Marvel Comics which both have had CCGs created around them.
Such films employ sarcasm, stereotyping, mockery of scenes from other films, and the obviousness of meaning in a character's actions.
Such legal reserve requirements were introduced in the 19th century as an attempt to reduce the risk of banks overextending themselves and suffering from bank runs, as this could lead to knock-on effects on other overextended banks.
Such weak intermolecular bonds give organic molecular substances, such as waxes and oils, their soft bulk character, and their low melting points ( in liquids, molecules must cease most structured or oriented contact with each other ).
Such radiation of a potentially exploitable signal, however, occurs also with other display technologies and with electronics in general.
Such sentiments especially grew strong in the late 19th and early 20th centuries, when ecumenism evolved out of a liberal, non-sectarian perspective on relations to other Christian groups that accompanied the relaxation of Calvinist stringencies held by earlier generations.
Such models can be translated to any other data model required by any specific DBMS for building an effective database.
Such gods, while keeping the original features of celestial divinities, i. e. transcendent heavenly power and abstention from direct rule in worldly matters, did not share the fate of other celestial gods in Indoeuropean religions-that of becoming dei otiosi or gods without practical purpose, since they did retain a particular sort of influence over the world and mankind.
Such specialization of production creates opportunities for gains from trade whereby resource owners benefit from trade in the sale of one type of output for other, more highly valued goods.
Such entertainment may include watching a film or theatrical production and other live performance such as circus, plays, musicals, farces, monologues and pantomimes provide cinematic and theatric entertainment.
" Such definitions depend upon "( cultural ) processes rather than abstract musical types ...", upon " continuity and oral transmission ... seen as characterizing one side of a cultural dichotomy, the other side of which is found not only in the lower layers of feudal, capitalist and some oriental societies but also in ' primitive ' societies and in parts of ' popular cultures '.
Such a perspective ' sees emotions as central to developing fantasies about each other that are not determined by collective " typifications "'.
Such experiments are used in the study of circadian and other rhythms in biology.
Such algorithms trade the approximation error for increased speed or other properties.

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