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Page "Definition" ¶ 55
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Given and natural
Given the small population of the region ( compared with the Central Canadian provinces or the New England states ), the regional economy is a net exporter of natural resources, manufactured goods, and services.
Given two groups G and H and a group homomorphism f: G → H, let K be a normal subgroup in G and φ the natural surjective homomorphism G → G / K ( where G / K is a quotient group ).
Given that the coiled texture is the natural state of some African Americans ' hair, or perceived as being more " African ", this simple style is now often seen as a sign of self-acceptance and an affirmation that the beauty norms of the ( eurocentric ) dominant culture are not absolute.
Given an arbitrary group G, there is a related profinite group G < sup >^</ sup >, the profinite completion of G. It is defined as the inverse limit of the groups G / N, where N runs through the normal subgroups in G of finite index ( these normal subgroups are partially ordered by inclusion, which translates into an inverse system of natural homomorphisms between the quotients ).
Given that the authors were the primary developers of the Unix operating system, it is natural that QED had a strong influence on the classic UNIX text editors ed, sed and their descendants such as ex and sam.
Given a natural transformation Φ from h < sup > A </ sup > to F, the corresponding element of F ( A ) is.
Given a morphism f: B → A the associated natural transformation is denoted Hom ( f ,–).
Given a diagram F: J → C ( thought of as an object in C < sup > J </ sup >), a natural transformation ψ: Δ ( N ) → F ( which is just a morphism in the category C < sup > J </ sup >) is the same thing as a cone from N to F. The components of ψ are the morphisms ψ < sub > X </ sub >: N → F ( X ).
Given his socialist agenda in Egypt, the Ba ' ath should have been his natural ally, but Nasser was hesitant to share power.
Given the reputed humorous character of Valencians, it was natural that they began to burn figurines depicting people and events of the past year.
Given a stochastic process, the natural filtration for ( or induced by ) this process is the filtration where is generated by all values of up to time s
Given this natural tendency to glide forward, terza rima is especially well-suited to narration and description ".
Given this, it is quite natural and convenient to designate a general sequence a < sub > n </ sub > by by the formal expression, even though the latter is not an expression formed by the operations of addition and multiplication defined above ( from which only finite sums can be constructed ).
Given a series with values in a normed abelian group G and a permutation σ of the natural numbers, one builds a new series, said to be a rearrangement of the original series.
Given a natural number x, h outputs the index of the partial computable function that performs the following computation:
Given its central location, Athlone is a natural hub for transport, with frequent bus and rail schedules.
Given the finite supply of natural resources at any specific cost and location, agriculture that is inefficient or damaging to needed resources may eventually exhaust the available resources or the ability to afford and acquire them.
Given this difference, it is necessary that logistic regression take the natural logarithm of the odds ( referred to as the logit or log-odds ) to create a continuous criterion.
Given that the logit is not generally interpreted and that the inverse of the natural logarithm, the exponential function of the logit is generally interpreted instead, it is also helpful to examine this function ( denoted: ).
Given a presheaf, a natural question to ask is to what extent its sections over an open set U are specified by their restrictions to smaller open sets V < sub > i </ sub > of an open cover of U. A presheaf is separated if its sections are " locally determined ": whenever two sections over U coincide when restricted to each of V < sub > i </ sub >, the two sections are identical.
Given that some countries now ban docking, breeders are again attempting to select dogs with the genes for natural bob tails.
Given such a G-module M, it is natural to consider the subgroup of G-invariant elements:
Given its native distribution the species is also a potential natural vagrant to Western Europe and there have been records in areas such as Cornwall and the Isles of Scilly which some observers consider may relate to wild birds ; however, given the Wood Duck's popularity in captivity it would be extremely difficult to prove their provenance one way or another.
* Given a partial function f from the natural numbers into the natural numbers, f is a partial recursive function if and only if the graph of f, that is, the set of all pairs such that f ( x ) is defined, is recursively enumerable.

Given and language
Category: Given names of Greek language origin
Category: Given names of Greek language origin
Category: Given names of Greek language origin
Given the tendency for real negotiations in Japan to be conducted privately ( in the nemawashi, or root binding, process of consensus building ), the shingikai often represented a fairly advanced stage in policy formulation in which relatively minor differences could be thrashed out and the resulting decisions couched in language acceptable to all.
An analytic philosopher, Rorty believed that combining Willard Van Orman Quine's criticism of the analytic-synthetic distinction with Wilfrid Sellars's critique of the " Myth of the Given " allowed for an abandonment of the view of the thought or language as a mirror of a reality or external world.
Given a guaranteed halting language, the computable function which is produced by Cantor's diagonal argument on all computable functions in that language is not computable in that language.
Category: Given names of Greek language origin
Given a programming or specification language, abstract interpretation consists of giving several semantics linked by relations of abstraction.
Category: Given names of Greek language origin
Category: Given names of Greek language origin
Category: Given names of Greek language origin
Category: Given names of Greek language origin
Category: Given names of Greek language origin
Category: Given names of Greek language origin
Category: Given names of Greek language origin
Given the more widespread social use, in the English language, of the word condom, it is interesting to note that the town is located on the river Baïse ; baise, without the diaeresis, is a French vulgarism for a sexual act.
Category: Given names of Greek language origin
Given the focus on intramodal competition and the lack of intermodal competition, there was little concern about statutory or regulatory language that set different regulatory burdens for different technology modes.
Given the prevalence of-assa place-names and words scattered around all sides of the Aegean Sea, this possessive suffix was sometimes considered evidence of a shared non-Indo-European language or an Aegean Sprachbund preceding the arrivals of Luwians and Greeks.
Category: Given names of Greek language origin
Given a language L, and a pair of strings x and y, define a distinguishing extension to be a string z such that
Category: Given names of Greek language origin

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