Given that the problem of high textbook prices is linked to the " broken " economics of the market, requiring publishers to disclose textbook prices to faculty is a solution pursued by a number of legislatures.

Critique by Fritz Lehman: Given that this book is intended as a textbook for Pakistani undergraduates, Shaikh Ahmed Sarhindi predictably appears as the chief preserver of separate Islamic identity in India, yet only a very general and most inadequate description of his ideas and his influence is given.

Given BASIC's straightforward nature, it was a simple matter to type in the code from the magazine and execute the program.

While tests have been done to support this with fixed pieces of flat metal, the result is inconclusive with respect to the curved armour of the period. Given the following actions of the archers, it seems likely Froissart was correct.

Given the cosmological principle, Hubble's law suggested that the universe was expanding.

Given the large number of U. S. military personnel and their dependents residing in Europe, it was expected that over 7 % of donors would be deferred due to the policy.

Given more time to prepare for trial, Kidd likely would have been able to find the deposition Palmer gave when he was captured in Rhode Island two years earlier.

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 away at theatrical showings was a comic herald that told a simplified version of the film.

" 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 toleration of Hinduism, such imperial leeway was not shocking.

Given its limitations, however, NAALC has not produced ( and in fact was not intended to achieve ) convergence in employment, productivity and salary trend in North America.

Given that Fine Gael normally received 25 % of the election result, and were reduced to third place this was an achievement in itself.

Given high fixed costs, the new price was below average total cost, resulting in a loss.

Given the ideals of Juche, North Korea chose to default on its loans and by the late 1980s its industrial output was declining.

Given a year to complete the work, Gibson undertook the actual writing out of " blind animal terror " at the obligation to write an entire novel – a feat which he felt he was " four or five years away from ".

Given these issues, Microsoft started to work in parallel on a version of Windows which was more future-oriented and more portable.

Given the task of overhauling the Cardinals by owner Gussie Busch, Herzog was looking to trade Templeton when he was approached by Padres General Manager Jack McKeon at the 1981 baseball winter meetings.

Given Poseidon's connection with horses as well as the sea, and the landlocked situation of the likely Indo-European homeland, Nobuo Komita has proposed that Poseidon was originally an aristocratic Indo-European horse-god who was then assimilated to Near Eastern aquatic deities when the basis of the Greek livelihood shifted from the land to the sea, or a god of fresh waters who was assigned a secondary role as god of the sea, where he overwhelmed the original Aegean sea deities such as Proteus and Nereus.

Given this and other evidence, many scholars agree that Peter was martyred in Rome under Nero, although some scholars argue that he may have been martyred in Palestine.

Without doubt, the single most significant paper concerning the distribution of prime numbers was Riemann's 1859 memoir On the Number of Primes Less Than a Given Magnitude, the only paper he ever wrote on the subject.

Given that most French supporters of phrenology were liberal, left-wing or socialist, it was an objective of the social elite of France who held a restrained vision of social change that phrenology remain on the fringes.

Given that assumption, the evidence for the one-seed theory is the fact that a woman can conceive without coming to orgasm ( though this was still a matter of dispute in the ancient world and the Middle Ages ).

Given the similarities in the two characters ' names, professions, written works and generally dark subject matter, it is likely that Lovecraft's Alhazred provided the main inspiration for al-Hazir.

Given any expression involving complex numbers, bras, kets, inner products, outer products, and / or linear operators ( but not addition ), written in bra-ket notation, the parenthetical groupings do not matter ( i. e., the associative property holds ).

* Given any combination of complex numbers, bras, kets, inner products, outer products, and / or linear operators, written in bra-ket notation, its Hermitian conjugate can be computed by reversing the order of the components, and taking the Hermitian conjugate of each.

Given a prime, we define the height of, written to be the supremum of the set

Given any coordinate chart about some point on the manifold, the above identities may be written in terms of the components of the Riemann tensor at this point as:

Given two groups A and H there exist two variations of the wreath product: the unrestricted wreath product A Wr H ( also written A ≀ H ) and the restricted wreath product A wr H. Given a set Ω with an H-action there exists a generalisation of the wreath product which is denoted by A Wr < sub > Ω </ sub > H or A wr < sub > Ω </ sub > H respectively.

Given a pre-Hilbert space H, an orthonormal basis for H is an orthonormal set of vectors with the property that every vector in H can be written as an infinite linear combination of the vectors in the basis.

Given a relation R, a set of attributes X in R is said to functionally determine another attribute Y, also in R, ( written X → Y ) if, and only if, each X value is associated with precisely one Y value.

Given a local smooth frame ( e < sub > 1 </ sub >, …, e < sub > k </ sub >) of E over U, any section σ of E can be written as ( Einstein notation assumed ).

Given two states p and q in S, q simulates p, written p ≤ q if there is a simulation R such that ( p, q ) ∈ R. The relation ≤ is a preorder, and is usually called the simulation preorder.

Given two states and in, is bisimilar to, written, if there is a bisimulation such that is in.

Given two elements, the open interval from to, written, is the set of all such that.

Given an action that must be repeated, for instance, five times, different languages ' for loops will be written differently.

Given submitted a written transfer request in December 2000, after failing to regain his place in the first-team from Steve Harper after a thigh injury had ruled him out of a match against Leeds United.

Given an orthonormal basis, any pure state of a two-level quantum system can be written as a superposition of the basis vectors

Given that the prominent Uranians were trained Classicists, I consider ludicrous the view, widely held, that ‘ Uranian ’ derives from the German apologias and legal appeals written by Karl-Heinrich Ulrichs in the 1860s, though his coinage Urning — employed to denote ‘ a female psyche in a male body ’ — does indeed derive from the same Classical sources, particularly the Symposium.

Given the nature of traditional Jewish Torah study, which involves extensive citation and cross-referencing among hundreds of texts written over the course of thousands of years, many Torah databases also make extensive use of hypertext links.

# Given that rocky planets were ( at the time Rare Earth was written ) thought to form closer to their central stars, the planet probably forms too close to the star to lie within the habitable zone.

Given their positive reception, a full-length adventure was written and drawn by Graton, published in Tintin in 1959.

Given that the program was written before production hardware was available, it was an astonishing accomplishment, and was easily among the most forward-compatible software products ever released for the Amiga.

Given Zappa's already stated penchant for expressing his music in " phases "— We're Only in It for the Money was written up as " phase one of Lumpy Gravy "— conceptually, Zappa fans occasionally label this album Phase Two of Burnt Weeny Sandwich.

Given a discrete set of real or complex numbers: ( integers ), the discrete-time Fourier transform ( or DTFT ) of is usually written:

Given two objects A and B, their direct sum is written as.