Specifically, let G be a simply-connected Lie group with Lie algebra.

Specifically, let G be a group and let X and Y be two associated G-sets.

Specifically, let X be a separable normed space and B the closed unit ball in X < sup >∗</ sup >.

Specifically, the programs Front Row and Cover Flow, utilized in conjunction with the Apple Remote, let users easily browse through and view any multimedia content stored on their Macs.

The Dedekind zeta function satisfies a functional equation relating its values at s and 1 − s. Specifically, let Δ < sub > K </ sub > denote discriminant of K, let r < sub > 1 </ sub > ( resp.

Specifically, let X and Y be a topological spaces with A a subspace of Y.

Specifically, let L be a tame oriented knot or link in Euclidean 3-space ( or in the 3-sphere ).

Specifically, let LGdenote the space of continuous maps

Specifically, let X

Specifically, χ is said to be odd if χ (− 1 ) = − 1 and even if χ (− 1 ) = 1.

Specifically, it will be asked whether the `` real '' questions people ask are not the `` ultimate '' questions that social science finds itself impotent in the face of.

Specifically, it can be used to test the equivalence principle, to probe dark matter, and test neutrino physics.

Specifically for fluids, the Knudsen number is used to assess to what extent the approximation of continuity can be made.

Specifically, the first four feet can either be dactyls or spondees more or less freely.

Specifically, the associativity and commutativity determine when repeated calculation can or cannot be avoided.

Specifically, if hair texture were simply the result of adaptively arbitrary human aesthetic preferences, one would expect that the global distribution of the various hair textures would be fairly random.

") appears to be much easier than the problem of actually finding the factors of N. Specifically, the former can be solved in polynomial time ( in the number n of digits of N ) with the AKS primality test.

Specifically, people allergic to latex, bananas, papayas or pineapples are likely to also be allergic to kiwifruit.

Specifically the final point stated: " A general association of nations must be formed under specific covenants for the purpose of affording mutual guarantees of political independence and territorial integrity to great and small states alike.

Specifically, it can be shown that for prime p > 2, M < sub > p </ sub >

Specifically, in diabetic mice the κ-opioid receptor appears to be involved in the antinociceptive effects of oxycodone, while in non-diabetic mice the μ < sub > 1 </ sub >- opioid receptor seems to be primarily responsible for these effects.

Specifically, in 1895 Pierre-Hector Coullié, archbishop of Lyon, voiced his official decision on the reinstatement of sports to Pierre de Coubertin, the founder of the Modern Olympic Games, by stating " Nous acceptons tout, sauf pankration " meaning " We accept all to be reinstated, except pankration ".

Specifically, he demonstrated an upper limit, known as Bell's inequality, regarding the strength of correlations that can be produced in any theory obeying local realism, and he showed that quantum theory predicts violations of this limit for certain entangled systems.

Specifically, results showed that those who believed that racial profiling was widespread and that racial tension would never be fixed were more likely to be opposed to racial profiling than those who did not believe racial profiling was as widespread or that racial tensions would be fixed eventually.

Specifically, for sailing boats, red and green sidelights and a white sternlight are required, although for vessels under 7 metres ( 23. 0 ft ) in length, these may be substituted by a torch or white all-round lantern.

Specifically, since electrons decay slowly from them, they can be piled up in this state without too much loss and then stimulated emission can be used to boost an optical signal.

Specifically, a construct in a language is called syntactic sugar if it can be removed from the language without any effect on what the language can do: functionality and expressive power will remain the same.

This can be shown using the concept of left cosets of H in G. The left cosets are the equivalence classes of a certain equivalence relation on G and therefore form a partition of G. Specifically, x and y in G are related if and only if there exists h in H such that x

Specifically, the patch revision I. 5a was known to be one of the most stable.

Specifically, the weather must be better than basic VFR weather minima, i. e. in visual meteorological conditions ( VMC ), as specified in the rules of the relevant aviation authority.

Specifically, when Cab Calloway's character named Curtis offers to " buy you boys a drink ", he takes Jake and Elwood down to the orphanage's basement, where the boiler is easily seen in the background.

Specifically, the Kroffts claimed that the character Mayor McCheese was a direct rip-off of their character, " H. R.

Specifically the lower control characters ( C0 ) the US-ASCII character set ( in GL ) and the upper control characters ( C1 ) are standard and the high characters ( GR ) are defined for each of the ISO-8859-X variants ; for example ISO-8859-1 is defined by the combination of ISO-IR-1, ISO-IR-6, ISO-IR-77 and ISO-IR-100 with no shifts or character changes allowed.

Specifically, the association was founded " to mark in a fitting manner those who have conferred honor upon their Alma Mater by distinguished scholarship and exemplary character as students in engineering, or by their attainments as alumni in the field of engineering, and to foster a spirit of liberal culture in engineering colleges.

Specifically, one character says that he cannot understand:

Specifically, in Europe in 1991, as part of the “ Action Master Elite ” sub-group, a figure named Omega Spreem was released ; the “ Defense Base ” function given to the character indicates that the toy is intended to be a new version of Omega Supreme himself, but the misspelled name and garish orange and pink paint job leave the toy as something of an oddity overall.

Specifically, caret commonly refers to the spacing character ^ in ASCII ( at code point 5E < sub > hex </ sub >) and other character sets that may also be called a hat, control, uparrow, or less frequently chevron, xor sign, to the, fang, shark ( or shark-fin ), pointer ( in Pascal ), or wedge.

Specifically Cooper writes much more detailed and in depth dialogue for “ Natty Bumpo ’ s ” character than he does for any of the others.

Specifically, Dragobete was the son of Baba Dochia, which stands for the main character in the pagan myth related to spring arrival and the end of the harsh winter.

Specifically, for any operation of arity in ( where the superscript simply denotes that it's an operation in ) define as, where denotes the equivalence class of a modulo E.

Specifically, suppose that we wish to perform divisions by a value x, modulo y.

Specifically, all lines connecting to a variable node ( box with an '=' sign ) have the same value, and all values connecting to a factor node ( box with a '+' sign ) must sum, modulo two, to zero ( in other words, they must sum to an even number ).