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Page "Domain of a function" ¶ 15
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Any and function
Any function itself defines an equivalence relation on according to which if and only if.
Any cryptographic hash function, such as MD5 or SHA-1, may be used in the calculation of an HMAC ; the resulting MAC algorithm is termed HMAC-MD5 or HMAC-SHA1 accordingly.
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 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 and can
He merely said, `` Any good decorator these days can make you a tasteful home ''.
Any alteration of one of these factors is distortion, although we generally use that word only for effects so pronounced that they can be stated quantitatively on the basis of standard tests.
Any reputable French interne can supply you with a dozen similar instances, and I'll presently recount a case out of my own personal experience, but, for the moment, let's resume our catalogue.
Any needy family living in San Francisco can obtain toys by writing to Christmas Toys, 676 Howard street, San Francisco 5, and listing the parent's name and address and the age and sex of each child in the family between the ages of 1 and 12.
Any breach of these laws is a criminal offence and can lead to fine of up to £ 5, 000 or six months in prison.
Any use of antibiotics can increase selective pressure in a population of bacteria to allow the resistant bacteria to thrive and the susceptible bacteria to die off.
* Any ring A can be considered as a Z-algebra in a unique way.
Any of these body styles can optionally incorporate a " cutaway ".
Any Latin-American country can join the 1980 Montevideo Treaty.
Any given bookmaker will weight their odds so that no one customer can cover all outcomes at a profit against their books.
Any node in the data structure can be reached by starting at root node and repeatedly following references to either the left or right child.
Any Banach algebra ( whether it has an identity element or not ) can be embedded isometrically into a unital Banach algebra so as to form a closed ideal of.
Any of these ways can be criticized for ...
* Any locally compact Hausdorff space can be turned into a compact space by adding a single point to it, by means of Alexandroff one-point compactification.
Any Sangiovese-based wine made according to the Chianti guidelines from these vineyards can be labelled and marked under the basic Chianti DOCG should the producer wish to use the designation.
Any units of angular measure can be used for declination, but it is customarily measured in the degrees ( ° ), minutes ( ' ), and seconds ( " ) of sexagesimal measure, with 90 ° equivalent to circle.
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 person who uses the Spanish title of " Doctor " ( or " Dr .") without being included in this Government database can be prosecuted for fraud.
Any player on the kicking team behind the kicker, and including the kicker, can recover the kick.
Any sound that can be sampled can be used.
Any ellipse can be obtained by rotation and translation of a canonical ellipse with the proper semi-diameters.
# Any real number can be added to both sides.
# Any real number can be subtracted from both sides.
# Any real number can be multiplied to both sides.

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