Specifically, invariance ( or more appropriately covariance ) to local geometric transformations, such as rotations or local affine transformations, can be obtained by considering differential invariants under the appropriate class of transformations or alternatively by normalizing the Gaussian derivative operators to a locally determined coordinate frame determined from e. g. a preferred orientation in the image domain or by applying a preferred local affine transformation to a local image patch ( see the article on affine shape adaptation for further details ).

Specifically, if one freezes a right-handed wave in time, when one curls the fingers of one ’ s right hand around the helix, the thumb will point in the direction which the helix progresses given that sense of rotation.

Specifically for an optical isolator, the values are chosen to give a rotation of 45 °.

Specifically, Terrell rotation is the distortion that a passing object would appear to undergo, according to the special theory of relativity if it were travelling a significant fraction of the speed of light.

Specifically, given that this is a circularly polarized plane wave, these vectors indicate that the electric field, from plane to plane, has a constant strength while its direction steadily rotates.

Specifically, the authors derived from Erasmus are Cicero, Terence, and Virgil.

Specifically, dō is derived from the Buddhist Sanskrit mārga ( meaning " path ").

Specifically, the name is thought to have derived from either the town of Hebron in Northumberland or Hebburn in Tyne and Wear.

Specifically, given two quantities, p and q, and a rational number m / n we can say that the ratio of p to q is less than, equal to, or greater than m / n when np is less than, equal to, or greater than mq respectively.

Specifically excluded is information concerning arming, fuzing, and firing systems ; limited life components ; and total contained quantities of fissionable, fusionable, and high explosive materials by type.

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, 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, it is a non-trivial ring in which every non-zero element a has a multiplicative inverse, i. e., an element x with.

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, solving a heat conduction ( Fourier ) problem with temperature ( the driving " force ") and flux of heat ( the rate of flow of the driven " quantity ", i. e. heat energy ) variables also solves an analogous electrical conduction ( Ohm ) problem having electric potential ( the driving " force ") and electric current ( the rate of flow of the driven " quantity ", i. e. charge ) variables.

Specifically, a ( locally small ) complete category C has an initial object if and only if there exist a set I ( not a proper class ) and an I-indexed family ( K < sub > i </ sub >) of objects of C such that for any object X of C there at least one morphism K < sub > i </ sub > → X for some i ∈ I.

Specifically, the adjacency matrix of a finite graph G on n vertices is the n × n matrix where the non-diagonal entry a < sub > ij </ sub > is the number of edges from vertex i to vertex j, and the diagonal entry a < sub > ii </ sub >, depending on the convention, is either once or twice the number of edges ( loops ) from vertex i to itself.

Specifically, point 4 commits the modal fallacy of assuming that because some choice is known to be true, it must be necessarily true ( i. e. there is no way it could possibly be false ).

Specifically, if x < sup > i </ sup > are harmonic local coordinates, then

Specifically, if is an n-dimensional representation of G, then u < sub > ij </ sub > ∈ C ( G ) for all i, j, and for all i, j.

Specifically, Michael Luby and Charles Rackoff analyzed the Feistel cipher construction, and proved that if the round function is a cryptographically secure pseudorandom function, with K < sub > i </ sub > used as the seed, then 3 rounds is sufficient to make the block cipher a pseudorandom permutation, while 4 rounds is sufficient to make it a " strong " pseudorandom permutation ( which means that it remains pseudorandom even to an adversary who gets oracle access to its inverse permutation ).

Specifically, given g ∈ G, ρ ( g ) is the linear map on V determined by its action on the basis by right translation by g < sup >− 1 </ sup >, i. e.

Specifically, comparative researchers encounter problems associated with individual differences, differences in motivation, differences in reinforcement, differences in sensory function, differences in motor capacities, and species-typical preparedness ( i. e. some species have evolved to acquire some behaviors quicker than other behaviors ).

Specifically, assume we have a nonsingular variety X, and n hypersurfaces Z < sub > 1 </ sub >, ..., Z < sub > n </ sub > which have local equations f < sub > 1 </ sub >, ..., f < sub > n </ sub > near x for polynomials f < sub > i </ sub >( t < sub > 1 </ sub >, ..., t < sub > n </ sub >), such that the following hold:

Specifically, Hadamard's inequality states that if N is the matrix having columns v < sub > i </ sub >, then

Specifically, the 1987 Act ( i ) reformed and strengthened the tax provisions governing corporate mergers and acquisitions ; ( ii ) repealed the use of the “ completed contract method of accounting ” by large defense contractors ; ( iii ) limited the use of the installment sales method of accounting ; and ( iv ) reduced the deduction for dividends paid by one corporation to another ; and ( vi ) accelerated corporate estimated tax payments.

Specifically, if X and Y are pointed spaces ( i. e. topological spaces with distinguished basepoints x < sub > 0 </ sub > and y < sub > 0 </ sub >) the wedge sum of X and Y is the quotient of the disjoint union of X and Y by the identification x < sub > 0 </ sub > ∼ y < sub > 0 </ sub >:

Specifically, this means individuals can recognize different standards for validity — i. e., that the validation of an empirical truth claim requires different methods and procedures than the validation of subjective truthfulness, and that both of those require different methods and procedures of validation than claims to normative rightness.

Specifically, he was a realist ( i. e., he, unlike the skeptics, believed that the world can be known as it is ).

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, 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.