Given the absurdity of the conclusion, Chalmers ’ rejects the initial premise that agents with identical causal organization can have different experiences.

Given its limited premise, it is hardly surprising that this series was never revived after its 12-issue run was up.

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

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 his generous notion of what constituted an Aryan race ( Evola was convinced of the Hyperborean origins of most Europeans, the indigenous peoples of North and South America, as well as those of the Indian subcontinent ), those candidate races Evola considered to be truly ' alien ' were never explicitly catalogued — except in terms of Semites and the deeply pigmented peoples of sub-Saharan Africa ( see Evola, ' Psicologia criminale ebraica ,' Difesa della Razza 2, no.

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 the absolute magnitude, for objects within our galaxy you can also calculate the apparent magnitude from any distance ( in parsecs ):

Given the absolute magnitude, you can also compute apparent magnitude from its parallax:

Given also a measure on set, then, sometimes also denoted or, has as its vectors equivalence classes of measurable functions whose absolute value's-th power has finite integral, that is, functions for which one has

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 the inherent goodness of Ṛta and its absolute power over the operation of the universe, the presence of gross inequality and injustice in the world represented a serious religious, philosophical and ethical dilemma.

Given that the absolute vorticity is positive ( negative ) in the Northern ( Southern ) hemisphere, the threshold value should be taken as positive ( negative ) north ( south ) of the equator.

Given such a field, an absolute value can be defined on it.

Given a locally compact topological field K, an absolute value can be defined as follows.

Given such an absolute value on K, a new induced topology can be defined on K. This topology is the same as the original topology.

Given the rapid growth in absolute value of Γ ( z + k ) when k → ∞, and the fact that the reciprocal of Γ ( z ) is an entire function, the coefficients in the rightmost sum are well-defined, and locally the sum converges uniformly for all complex s and x.

* Given a field K, the multiplicative group ( K < sup > s </ sup >)< sup >×</ sup > of a separable closure of K is a Galois module for the absolute Galois group.

Given some value v and its approximation v < sub > approx </ sub >, the absolute error is

Given two integers a and b, with b ≠ 0, there exist unique integers q and r such that a = bq + r and 0 ≤ r < | b |, where | b | denotes the absolute value of b.

Given the absolute necessity of a complete text for liturgical use, it is likely that Mozart spliced in movements from his earlier Masses for the premiere.

The question concerned the educational value of pre-Christian classical thought: " Given that the body of knowledge of the pre-Christian Romans was heathen in origin, was it safe to teach it to Christian children?

Given the dual status of science as objective knowledge and as a human construct, good historiography of science draws on the historical methods of both intellectual history and social history.

" Given a memex, a scholar could create her own knowledge tools as connections within reams of information, share these tools, and use complexes of tools to create yet more sophisticated knowledge that could in turn be deployed toward this work.

Given that the right to be politically active has granted them the opportunity to expand their knowledge and influence in current affairs, they are now considered one of the main components in the country's decision-making in both politics and economy.

Given the closeness shared by the countries bordering the Mediterranean basin, and very topical interest to the consolidation of the European Union's enlargement policy, he also intended to establish trade relations with the Republic of Malta aimed at encouraging mutual knowledge and awareness in a profitable way their local communities on European issues of common interest and current.

Given an encoding of the known background knowledge and a set of examples represented as a logical database of facts, an ILP system will derive a hypothesised logic program which entails all the positive and none of the negative examples.

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 that male authors had limited knowledge of her rites and attributes, ancient speculations about her identity abound, among them that she was an aspect of Terra, Ops, the Magna Mater, or Ceres, or a Latin form of Damia.

Given his jazz and salsa conga playing experience and knowledge ( working as a sideman with such bands as salsa's Frankie Dante's Orquesta Flamboyan and jazz saxophonist Archie Shepp ), Dawson also created the long running " Salsa Meets Jazz " weekly concert series at the Village Gate jazz club where jazz musicians would sit in with an established salsa band, for example Dexter Gordon jamming with the Machito band.

Given their relative isolation, the cult participants generally have little knowledge of modern manufacturing and are liable to be skeptical about modern explanations.

Given the philosophical definition that knowledge differs from belief ( knowledge is often defined as a justified, true belief ), Dorff's works explicitly analyze epistemological questions.

Given the lack of concrete historical knowledge about one of the most potent figures in British mythology, it is unlikely that any definitive conclusions about the claims for these places will ever be established ; nevertheless it is both interesting and important to try to evaluate the body of evidence which does exist and examine it critically.

Given the explosion of medical knowledge in the 20th century, it is easily appreciated that this led to a vast expansion of the book, which threatened to collapse under its own weight in a metaphorical and physical sense.

Given the initial positions ( e. g. from theoretical knowledge ) and velocities ( e. g. randomized Gaussian ), we can calculate all future ( or past ) positions and velocities.

Given that even players with poor chess knowledge can use the strongest computer programs to analyse their games, the gap between the beginner and master player has narrowed in recent years.

Given that the success of any organization is founded on the knowledge of the people who work for it, these activities will and, indeed, must continue.

Given an encoding of the known background knowledge and a set of examples represented as a logical database of facts, an ILP system will derive a hypothesized logic program which entails all the positive and none of the negative examples.

Given the preceding information, the knowledge gap hypothesis can be expressed using the following set of related propositions:

Given that folk psychology represents causal knowledge associated with the mind ’ s categorization processes, it follows that folk psychology is actively employed in aiding the explanation of everyday actions.

" Given the subject matter of his poetry he was likely a " man in holy orders ," and the deep Christian knowledge conveyed through his verse implies that he was well learned in ecclesiastical and hagiographical literature, as well as the dogma and doctrine of the Catholic Church.

Given the philosophical definition that knowledge differs from belief ( knowledge is often defined as a justified, true belief ), Gillman's works explicitly analyze epistemological questions.