Any application that requires protection against such attacks must use cryptographic authentication mechanisms, such as message authentication codes or digital signatures ( which are commonly based on cryptographic hash functions ).

* Crypto equipment: Any equipment that embodies cryptographic logic or performs one or more cryptographic functions ( key generation, encryption, and authentication ).

Any perfect hash functions suitable for use with a hash table require at least a number of bits that is proportional to the size of S.

Any change to the document, no matter how trivial, such as changing a single bit from a 1 to a 0, will cause it to have a different hash, which will make the signature invalid.

Any function itself defines an equivalence relation on according to which if and only if.

Any compression algorithm can be viewed as a function that maps sequences of units ( normally octets ) into other sequences of the same units.

The blitter's block copying mode takes zero to three data sources in memory, called A, B and C, performs a programmable boolean function on the data sources and writes the result to a destination area, D. Any of these four areas can overlap.

Any real-valued differentiable function, H, on a symplectic manifold can serve as an energy function or Hamiltonian.

Any non-constant algebraic function of a single variable yields a transcendental value when applied to a transcendental argument.

Any finite number of initial terms of the Taylor series of a function is called a Taylor polynomial.

Any decrease in the Gibbs function of a system is the upper limit for any isothermal, isobaric work that can be captured in the surroundings, or it may simply be dissipated, appearing as T times a corresponding increase in the entropy of the system and / or its surrounding.

Any poles on the imaginary axis have real strictly positive residues, and similarly at any zeros on the imaginary axis, the function has a real strictly positive derivative.

Any building requires a certain amount of internal infrastructure to function, which includes such elements like heating / cooling, power and telecommunications, water and wastewater etc.

Any such function is called a Urysohn function for A and B.

Any function can be restricted to a subset of its domain.

Any such K is referred to as a Lipschitz constant for the function ƒ.

Any impairment which limits the physical function of limbs or fine or gross motor ability is a physical disability.

* Any polynomial ( real or complex ) is an analytic function.

Any Taylor series for this function converges not only for x close enough to x < sub > 0 </ sub > ( as in the definition ) but for all values of x ( real or complex ).

* Any analytic function is smooth, that is, infinitely differentiable.

Any real analytic function on some open set on the real line can be extended to a complex analytic function on some open set of the complex plane.

" Any sequence of numbers that may be modeled by a mathematical function can be considered a pattern.

Any such satisficing problem can be formulated as an ( equivalent ) optimization problem using the Indicator function of the satisficing requirements as an objective function.

Any particular Boolean function can be represented by one and only one full disjunctive normal form, one of the two canonical forms.

Any approach toward such a system looks toward saving and security.

Any fee so determined shall be entered as a part of such award, and payment thereof shall be made by the Secretary of the Treasury by deducting the amount thereof from the total amount paid pursuant to the award.

Any claimant whose claim is denied, or is approved for less than the full amount of such claim, shall be entitled, under such regulations as the Commission may prescribe, to a hearing before the Commission, or its duly authorized representatives, with respect to such claim.

Any person who makes application for any such payment shall be held to have consented to all the provisions of this Title.

Any place called Altenberg may have given rise to Altenberg as a family name, such as:

Any type of focal lesion of the central nervous system ( such as stroke, brain tumour, multiple sclerosis ) will cause the type of ataxia corresponding to the site of the lesion: cerebellar if in the cerebellum, sensory if in the dorsal spinal cord ( and rarely in the thalamus or parietal lobe ), vestibular if in the vestibular system ( including the vestibular areas of the cerebral cortex ).

Any information may be conveyed by an analog signal ; often such a signal is a measured response to changes in physical phenomena, such as sound, light, temperature, position, or pressure.

Any such distinct molecular feature constitutes an epitope.

Section 72 says " Any person who takes part in a fight in a public place, or takes part in a fight of such a nature as to alarm the public in any other place to which the public have access, commits a misdemeanour.

Any difference between the hedged positions represents any remaining risk ( such as basis risk ) plus profit ; the belief is that there remains some difference which, even after hedging most risk, represents pure profit.

Any such totality would itself have to be a set, thus lying somewhere within the hierarchy and thus failing to contain every set.

Any definition that attempts to set out the essence of something, such as that by genus and differentia, is an intensional definition.

( Any diode used in such an application is called a flyback diode ).

Any convex polyhedron can be distorted into a canonical form, in which a midsphere ( or intersphere ) exists tangent to every edge, such that the average position of these points is the center of the sphere, and this form is unique up to congruences.

Any such poset has a dual poset.

Any voucher proposals in the Netherlands, and countries with similar systems such as Belgium, are complicated by the historical background of the " school struggle ".

Any of the several well-known axiomatisations will do ; we assume without proof all the basic well-known results about our formalism ( such as the normal form theorem or the soundness theorem ) that we need.

Any one language has only a subset of the aspectual distinctions attested in the world's languages, and some languages ( such as Standard German ; see below ) do not have aspects.

Any collection of items or components needed for a specific purpose, especially for use by a workman, or personal effects packed for travelling, such as:

* Any simply connected solvable Lie group is isomorphic to a closed subgroup of the group of invertible upper triangular matrices of some rank, and any finite dimensional irreducible representation of such a group is 1 dimensional.

* Any simply connected nilpotent Lie group is isomorphic to a closed subgroup of the group of invertible upper triangular matrices with 1's on the diagonal of some rank, and any finite dimensional irreducible representation of such a group is 1 dimensional.