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

Specifically, if v is a tangent vector of M at a point x ( thought of as a derivation ) then define the directional derivative in the direction v by

Specifically, if the amplitude of the transmitted signal is restricted to the range of ... + A volts, and the precision of the receiver is ± ΔV volts, then the maximum number of distinct pulses M is given by

Specifically, the matrix M can be decomposed as:

Specifically the Cape Longclaw ( M. capensis ) and the Yellow-throated Longclaw ( M. croceus ) share similar habitat and habits, explaining the long hind toe ; their plumage pattern however is all but identical, a striking example of convergent evolution.

Specifically, if two manifolds, X and Y, intersect transversely in a manifold M, the homology class of the intersection is the Poincaré dual of the cup product of the Poincaré duals of X and Y.

Specifically, he is a White-tailed Deer, or Odocoileus virginianus, and was cloned from a dead buck by the Texas A & M University College of Veterinary Medicine.

Specifically, it shows that if M is a unital, self-adjoint operator algebra in the C *- algebra B ( H ), for some Hilbert space H, then the weak closure, strong closure and bicommutant of M are equal.

) Specifically, one maps an element of H < sup > k </ sup >( M ) to its cap product with a fundamental class of M, which will exist for oriented M.

In the report by Major General Antonio M. Taguba regarding the alleged acts of brutality, abuse, and torture at the Enemy Prisoner of War facility at Abu Ghraib and other Enemy Prisoner of War Camps in Iraq and Afghanistan, Taguba said, "' Specifically I suspect that Col. Thomas M. Pappas, Lt. Col. Steve L. Jordan, Mr. Steven Stephanowicz and Mr. John Israel were either directly or indirectly responsible for the abuses at Abu Ghraib and strongly recommend immediate disciplinary actions ..."

Specifically, the oxalate moiety adopts the planar, D < sub > 2h </ sub > conformation in the solid-state structures of M < sub > 2 </ sub > C < sub > 2 </ sub > O < sub > 4 </ sub > ( M = Li, Na, K ).

Specifically, consider a differential manifold M, for some integer N ≥ 2 ; one has a smooth N-linear map from N copies of C < sup >∞</ sup > ( M ) to itself, such that it is completely antisymmetric:

Specifically, P is pure in M if and only if the following condition holds: for any m-by-n matrix ( a < sub > ij </ sub >) with entries in R, and any set y < sub > 1 </ sub >,..., y < sub > m </ sub > of elements of P, if there exist elements x < sub > 1 </ sub >,..., x < sub > n </ sub > in M such that

Specifically, if Q is a point of M near p, then

Specifically, suppose that M and N are a pair of manifolds each carrying a G-structure for a structure group G. This amounts to giving a special class of coframes on M and N. Cartan's method addresses the question of whether there exists a local diffeomorphism φ: M → N under which the G-structure on N pulls back to the given G-structure on M. An equivalence problem has been " solved " if one can give a complete set of structural invariants for the G-structure: meaning that such a diffeomorphism exists if and only if all of the structural invariants agree in a suitably defined sense.

Specifically, Congress should consider authorizing the Peace Corps to receive contributions from American businesses, unions, civic organizations and the public at large.

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, both Julian Dates and the Gregorian calendar are used.

Specifically, in quantum mechanics, the state of an atom, i. e. an eigenstate of the atomic Hamiltonian, is approximated by an expansion ( see configuration interaction expansion and basis set ) into linear combinations of anti-symmetrized products ( Slater determinants ) of one-electron functions.

Specifically, is the neuter plural of, an adjective related to the verb ἀποκρύπτω ἀποκρύπτειν ( apocriptein ), " to hide something away.

Specifically, corporations are accused of seeking to maximize profit at the expense of work safety conditions and standards, labor hiring and compensation standards, environmental conservation principles, and the integrity of national legislative authority, independence and sovereignty.

Specifically, commodities such as sugar are heavily distorted by subsidies on behalf of powerful economies ( the United States, Europe, and Japan ), who have a disproportionate influence in the WTO.

Specifically, at speeds of OC-3 and above, the cost of segmentation and reassembly ( SAR ) hardware makes ATM less competitive for IP than Packet Over SONET ( POS ); because of its fixed 48-byte cell payload, ATM is not suitable as a data link layer directly underlying IP ( without the need for SAR at the data link level ) since the OSI layer on which IP operates must provide a maximum transmission unit ( MTU ) of at least 576 bytes.

Specifically, the Yemeni Arabs were unhappy that the prince was mounted on a fine Spanish steed.

Specifically, in one of his last works, De scientia divina, he concludes that the idea of plurality itself is strictly temporal, a human notion.

Specifically, the conceptual diagram graph 1 identifies only three boxes, two ellipses, and four arrows ( and their five labels ), whereas the picture 1 shows much more pictorial detail, with the scores of implied relationships as implicit in the picture rather than with the nine explicit details in the graph.

Specifically, the President was told that one of Colson's people had gone to Wisconsin and tried to talk to the prosecutors.

Specifically his theological learning was in the famed Catechetical School of Alexandria.

Specifically as flow moves around a bend it spirals in the opposite direction in the deep sea compared to the spiral to that found in river channels on land.

Specifically, it maintains that properties ' compresence itself engenders a substance.

Specifically it states that for any integers n ≥ 0 and m ≥ 1, the functions J < sub > n </ sub >( x ) and J < sub > n + m </ sub >( x ) have no common zeros other than the one at x = 0.

Specifically it is the amount of a substance that contains as many elementary entities ( atoms, molecules or ions ) as there are atoms in 0. 012 kilogram ( or 12 grams ) of carbon-12, where the carbon-12 atoms are unbound, at rest and in their ground state.

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, after acknowledging the various popular theories in vogue at the time, of how atoms were reasoned to attach to each other, i. e. " hooked atoms ", " glued together by rest ", or " stuck together by conspiring motions ", Newton states that he would rather infer from their cohesion, that " particles attract one another by some force, which in immediate contact is exceedingly strong, at small distances performs the chemical operations, and reaches not far from the particles with any sensible effect.

Specifically, in smooth muscle tissue, PKG promotes the opening of calcium-activated potassium channels, leading to cell hyperpolarization and relaxation, blocks agonist activity of phospholipase C, reducing liberation of stored calcium ions by inositol triphosphate.

Specifically from the " junction of Houston and Pryor streets, thence through lot nineteen, between blocks three, one and two, five and six, to the city limits ; thence northerly along the city limits to Peachtree Street ; thence south along Peachtree Street and Pryor Street to the beginning.

Specifically, the bridging of the Scioto and Miami river valleys required raising the canal to such an elevation that water from neither river could be used as a source.

Specifically, the distribution of this trait suggests that this need may have ( initially ) grown so intense at certain ( early ) points that those among said ( initially more deeply pigmented skinned ) Northern-migrants with mutations for straighter hair survived and had children at ( somewhat ) higher rates.

Specifically, this term is usually applied to music of the late Renaissance and early Baroque.

Specifically, Bourdieu hypothesizes that these dispositions are internalized at an early age and guide the young towards their appropriate social positions, towards the behaviors that are suitable for them, and an aversion towards other lifestyles.

Specifically, the two pathways of hypoxia-inducible factor-1 ( HIF-1 ) and early growth response 1 ( EGR-1 ) are activated by hypoxia, and they contribute to monocyte and endothelial activation.

Specifically, it was one which took place in London's Fleet Prison or its environs during the 17th and, especially, the early 18th century.

Specifically, studies have found that by the early age of 3 or 4, children prefer members of their own sex to members of the opposite sex ( Bussey & Bandura, 1992 ).

Moss was able to locate a land-use map in a 1950s municipal atlas showing that “ Sometime between the late ’ 30s and early ’ 50s, a new diner appeared near Mulry Square .” Specifically, the diner was located immediately to the right of the gas station, “ not in the empty northern lot, but on the southwest side, where Perry Street slants .” This map is not reproduced in the Times article, but is shown on Moss ’ s blog.

Specifically, in the early part of the decade, white settlement had spread into central and western Nebraska along the Platte River.

Specifically, since the early 1970s he was a student of Chögyam Trungpa and, after his death in 1986, of his son Sakyong Mipham.

Specifically, Makari declares that early psychoanalytic theory emerged from Sigmund Freud's engagements with French psychopathology, biophysics, psychophysics, and sexology.

Specifically, Davison asked participants to estimate self-other effects for ( 1 ) a campaign theme on gubernatorial vote choice, ( 2 ) television advertising on children, ( 3 ) the results of early presidential primaries on vote choice, and ( 4 ) campaign messages on presidential vote choice.

Specifically, it could be viewed as a prescient commentary on the eventual move toward “ splatter films ,” or more specifically, a sub-genre of horror films starting in the early 2000s that are now collectively referred to as “ torture porn .” There is a growing filmography in which tension and fear come not from traditional use of suspense but rather purely from the depiction of graphic mutilation, torture, and highly painful, drawn-out deaths of innocent people.