Given the notion of a lexeme, it is possible to distinguish two kinds of morphological rules.

Given that premise, the notion of absolute knowledge ( as described by Plato and the rationalists ) is seen as mere illusion, and this is what he set out to demonstrate in the first part of his magnum opus " The Critique of Pure Reason " ( 1781 ).

Given a differentiable manifold, one can unambiguously define the notion of tangent vectors and then directional derivatives.

Given the financial situation during this period, over-production had to be avoided and thus the notion of Pull ( build to order rather than target driven Push ) came to underpin production scheduling.

Given a set S of matrices, each of which is diagonalizable, and any two of which commute, it is always possible to simultaneously diagonalize all of the elements of S. Equivalently, for any set S of mutually commuting semisimple linear transformations of a finite-dimensional vector space V there exists a basis of V consisting of simultaneous eigenvectors of all elements of S. Each of these common eigenvectors v ∈ V, defines a linear functional on the subalgebra U of End ( V ) generated by the set of endomorphisms S ; this functional is defined as the map which associates to each element of U its eigenvalue on the eigenvector v. This " generalized eigenvalue " is a prototype for the notion of a weight.

Given some notion of equivalence ( e. g., homeomorphism, diffeomorphism, isometry ) between

Given the " Bible Belt " setting, the secession of Malebolgia from another state may be a reference to the commonly-held notion that the state of Texas retains the right to subdivide itself into ( up to five ) other states.

According to Peter C. Newman ’ s analysis financing could not have come from investors, “ who would have had to be kept in ignorance of the project ’ s significance .” The government had the mine immediately “ drained and cemented … and employed prospectors to search for additional uranium deposits .” The miners hired to reopen Eldorado were screened by the RCMP and sworn to secrecy Given this notion it seems secrecy was conducted the same way uranium contracts had been allocated ; efficiency and development of an atomic weapon took precedent over political concerns like communist attitude amongst the workforce or homage to Britain.

" Given Cicero's in depth knowledge of Greek political history, it can be argued that his notion on war and law was inspired by Thucydides's opinion on the violent nature of war and the realist approach in international relations.

Given this wide range of mostly non-downward entailing environments, the Fauconnier-Ladusaw Hypothesis has gradually been replaced in favor of theories based on the notion of nonveridicality ( proposed by Zwarts and Giannakidou ).

Given the notion of equating moral responsibility with voluntary action, however, moral luck becomes a problem.

Given a theological lead, I asked what he thinks about those who find a religious significance to his plays.

Given this kind of business climate, what competitive marketing problems will your company face in the next 10 yrs.??

Given this popular understanding of the term, it can also be used illegitimately and inappropriately, as a means to dismiss what are in fact substantial and well-evidenced accusations.

" Given that there's a gulf of 100, 000, 000 light years, he checks his diary to find out what he had been doing that day, and finds out that it was something he wished to hide.

Given the same set of verifiable facts, some societies or individuals will have a fundamental disagreement about what one ought to do based on societal or individual norms, and one cannot adjudicate these using some independent standard of evaluation.

* Named entity recognition ( NER ): Given a stream of text, determine which items in the text map to proper names, such as people or places, and what the type of each such name is ( e. g. person, location, organization ).

Similarly, Hare refers to “ the crude caricature of act utilitarianism which is the only version of it that many philosophers seem to be acquainted with .” Given what Bentham says about second order evils it would be a serious misrepresentation to say that he and similar act utilitarians would be prepared to punish an innocent person for the greater good.

" or " Given that I have flipped a coin 100 times and it has landed heads-up 100 times, what is the likelihood that the coin is fair?

Given " mappings " of input variables into membership functions and truth values, the microcontroller then makes decisions for what action to take, based on a set of " rules ", each of the form:

Given the inexperience of the locals with living elephants, they were unlikely to recognize the skull for what it actually was.

Given that Krasnow had effectively poached the band from Buddah there were limitations on what material could be released.

Given that Maxwell's textbook was written before the discovery of the electron, it is understandable that Maxwell exhibits what ( in terms of modern knowledge ) is inconsistency in the use of the term " electromotive force ".

Given what is known of Cathróe's own background, this probably means that she was of British (" Cumbrian ") or Scottish descent.

Given that " production could be carried on without any organization is, firm at all ", Coase asks, why and under what conditions should we expect firms to emerge?

* Given a small, privileged set of inputs ( e. g., reserved words for a compiler ), the permutation table can be adjusted so that those inputs yield distinct hash values, producing what is called a perfect hash function.

Given that the site envisioned for this museum in Phillipsburg has been sold for development as a townhouse complex and college campus annex, it is unclear what role Phillipsburg will play in this museum.

Given this definition of matter, we can distinguish between what Aristotle calls " proximate matter " and what he calls " non-proximate matter ".

Given the ACE model, researchers can determine what proportion of variance in a trait is heritable, versus the proportions which are due to shared environment or unshared environment.

) Given the diffusion of different Piers / Ploughman texts, it is usually not possible to be certain about what someone means to refer to when they mention " Piers Plowman " unless they provide specific identifying details — and most writers do not.

Given the nature of this interrogation and the motive behind it, it is not known for certain what elements of Number Six's life so portrayed are real and which are fiction.

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 what we knew regarding terrorists ’ interest in acquiring and using chemical weapons against Americans, and given the intelligence assessment provided us regarding the al-Shifa facility, I continue to believe that destroying it was the right decision.

Given the proposition that ' a persons life prospects should not be decided by factors outside of their control or for which a person cannot claim personal credit ' ( i. e. social status, inherited wealth, race and other accidents of birth ) a meritocracy proposes a system where people are rewarded based on their efforts, and if everyone can start on equal footing with the same opportunity to advance, then the results are just.

: Given that desegregation has not produced the predicted leaps forward in black educational achievement, there is no reason to think that black students cannot learn as well when surrounded by members of their own race as when they are in an integrated environment.

Given this new danger, the United States participated in an arms race with the Soviet Union that included development of the hydrogen bomb, as well as intercontinental strategic bombers and intercontinental ballistic missiles ( ICBMs ) capable of delivering nuclear weapons.

Given the great size of the flats, there is plenty of room for these race cars to reach their full potential.

Given the closeness of the race between blue and green camps, this group was being watched closely as a potential tie-breaker in the new legislature.

Given an Kawasaki 50cc motocross on his eighth birthday, he demonstrated the ability to be able to race successfully.

Given that the only remaining humans ( after Zion's destruction ) remain in the Matrix, failure to enter the door to the Source will lead to an eventual catastrophic system crash of the Matrix, killing its human inhabitants and effectively annihilating humanity as a race.

Given his link with Toyota through sportscars he was an obvious choice for this role, and after impressing in testing he was hired to race for the season.

Given the powerful nature of the Phalanx, different individuals and governments attempted to experiment with the alien race.

Given the setting of the film, he was able to tie in other elements, such as race relations, as well.

Given the title of the play, and considering that Aeschylus ' Oresteia provides an aetiology for Athens's Areopagus, it has been suggested that Prometheus the Fire-Bringer concludes with providing an aetiology for a yearly Athenian torch race honoring the Titan.

Given the title of the play, and taking a cue from the aetiology for the Athenian Areopagus provided by Aeschylus ' Eumenides, it has been suggested that the drama concludes with Zeus ' foundation of the yearly torch race that took place in Athens to honor Prometheus.

Others included a penalty shootout with goalkeeper Shay Given at Newcastle United ; taking on Ken Doherty in snooker ; and, most recently, spending time with Aidan O ' Brien, one of the world's most successful race horse trainers.