Specifically, by the Casorati – Weierstrass theorem, for any transcendental entire function f and any complex w there is a sequence with, is necessarily a polynomial, of degree at least n.

Specifically, the hash function is used to map the search key to the hash.

Specifically, the results of this study suggest that this phenomenon occurs in a manner similar to the way that light passes through fiber optic tubes ( which do not function as effectively when kinked or sharply curved or coiled ).

Specifically, if ƒ is an invertible function with domain X and range Y, then its inverse ƒ < sup >− 1 </ sup > has domain Y and range X, and the inverse of ƒ < sup >− 1 </ sup > is the original function ƒ.

Specifically, a function between measurable spaces is said to be measurable if the preimage of each measurable set is measurable, analogous to the situation of continuous functions between topological spaces.

Specifically in the context of data transmission, an abort is a function invoked by a sending station to cause the recipient to discard or ignore all bit sequences transmitted by the sender since the preceding flag sequence.

Specifically, the authors proved that the positivity required of an analytic function F ( z ) which de Branges would use to construct his proof would also force it to assume certain inequalities that, according to them, the functions actually relevant to a proof do not satisfy.

Specifically, the entire wave function is treated as a single abstract vector:

Specifically, it is a function

Specifically, if you can prove that for every X ( or every X of a certain type ), there exists a unique Y satisfying some condition P, then you can introduce a function symbol F to indicate this.

Specifically, if a function yields any of different outputs with equal probability and is sufficiently large, then we expect to obtain a pair of different arguments and with after evaluating the function for about different arguments on average.

Specifically, a space velocity along the line-of-sight means that the transformation from tangential linear velocity to ( angular ) proper motion is a function of time.

Specifically, the timer. c :: calc_load () function will run the algorithm every 5 * Hz, or roughly every five seconds.

Specifically, this is the scope of potential uses of an object outside of the limits prescribed by culture or convention, and is instead simply the empirical spectrum of function for a technological artifact.

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, 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, the Legendre transform of a convex function ƒ is the function ƒ < sup >∗</ sup > defined by

Specifically, suppose that X and Y are metric spaces and ƒ is a function from X to Y.

Specifically we were given a boolean function whose input is 1 bit, and asked if it is constant.

Specifically, the active amplification function of the outer hair cells is very sensitive to damage from exposure to trauma from overly-loud sounds or to certain ototoxic drugs.

Specifically, f (' F ', ' F ', ..., ' F ') = ' F ', and these functions correspond to linear maps over the Boolean vector space.

Specifically if γ is a closed loop at c such that p < sub >#</ sub >() = 1, that is p o γ is null-homotopic in X, then consider a null-homotopy of p o γ as a map f: D < sup > 2 </ sup > → X from the 2-disc D < sup > 2 </ sup > to X such that the restriction of f to the boundary S < sup > 1 </ sup > of D < sup > 2 </ sup > is equal to p o γ.

Specifically, if f approaches 1 and g approaches 0, then f and g may be chosen so that: ( 1 ) f / g approaches +∞, ( 2 ) f / g approaches -∞, or ( 3 ) the limit fails to exist.

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, if X and Y are the representation spaces of two linear representations of G then a linear map f: X → Y is called an intertwiner of the representations if it commutes with the action of G. Thus an intertwiner is an equivariant map in the special case of two linear representations / actions.

Specifically, they may be used as long as one-way pages are not transmitted, communications are limited to voice, and transmission power ( ERP ) does not exceed 5 watts ( FCC Code § 95. 29, section f ).

Specifically, if v is a local section of E, and f is a smooth function, then

Specifically, if f ( z ) is a meromorphic function inside and on some closed contour C, and f has no zeros or poles on C, then

Specifically, a homotopy of paths, or path-homotopy, in X is a family of paths f < sub > t </ sub >: I → X indexed by I such that

Specifically, a tendency has been observed for the mutation not to occur next to initial or medial */ f / or */ w / in association with */ l /.

Specifically, the model must assign to each constant symbol of L an element of M, and to each n-ary function symbol f of L and each n-tuple < a < sub > 0 </ sub >,..., a < sub > n-1 </ sub >> of elements of M, the model must assign an element of M to the term f ( a < sub > 0 </ sub >,..., a < sub > n-1 </ sub >).

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, 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, a text added to the end of a book or an article, containing information that is important to, but is not the main idea of, the main text

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, if A is a linear operator and is a bra, then is another bra defined by the rule

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 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, to minimize the cutting down of trees for fuel, kerosene is being subsidized, and efforts are being made to replace the loss of the forest cover caused by ylang-ylang distillation for perfume.

Specifically, a topological space is compact if, whenever a collection of open sets covers the space, some subcollection consisting only of finitely many open sets also covers the space.

Specifically, the timescale for beta-decay of radioactive nuclei produced is faster than the timescale for fusion.

Specifically, if p is the natural length of a section of spring, then the length of the spring with tension T applied has length

Specifically, if one or more of the produced neutrons themselves interact with other fissionable nuclei, and these also undergo fission, then there is a possibility that the macroscopic overall fission reaction will not stop, but continue throughout the reaction material.

Specifically, the table provides conflicting answers to the question of what this particular employee's address is.

Specifically, if he / she chooses to determine the path, then he / she has no influence whatsoever over which of the two paths, the left one or the right one, nature will tell him / her is the one in which the particle is found.

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, it is a vector field.

Specifically, it is claimed that Ezekiel himself may have suffered from temporal lobe epilepsy, which has several characteristic symptoms that are apparent from his writing.