finite cardinal

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• Cardinal number — This article describes cardinal numbers in mathematics. For cardinals in linguistics, see Names of numbers in English. In mathematics, cardinal numbers, or cardinals for short, are generalized numbers used to measure the cardinality (size) of… …   Wikipedia

• Cardinal function — In mathematics, a cardinal function (or cardinal invariant) is a function that returns cardinal numbers. Contents 1 Cardinal functions in set theory 2 Cardinal functions in topology 2.1 Basic inequalities …   Wikipedia

• Finite difference — A finite difference is a mathematical expression of the form f(x + b) − f(x + a). If a finite difference is divided by b − a, one gets a difference quotient. The approximation of derivatives by finite differences… …   Wikipedia

• Finite field arithmetic — Arithmetic in a finite field is different from standard integer arithmetic. There are a limited number of elements in the finite field; all operations performed in the finite field result in an element within that field.While each finite field is …   Wikipedia

• cardinal — Synonyms and related words: Gaussian integer, Grand Penitentiary, Holy Father, Titian, Titian red, abuna, algebraic number, algorismic, algorithmic, aliquot, all absorbing, antipope, arch, archbishop, archdeacon, archpriest, banner, bishop,… …   Moby Thesaurus

• Cardinal point (optics) — For other uses, see Cardinal point (disambiguation). In Gaussian optics, the cardinal points consist of three pairs of points located on the optical axis of an ideal, rotationally symmetric, focal, optical system. For ideal systems, the basic… …   Wikipedia

• cardinal number — 1. Also called cardinal numeral. any of the numbers that express amount, as one, two, three, etc. (distinguished from ordinal number). 2. Also called potency, power. Math. a number or symbol analogous to the number of elements in a finite set,… …   Universalium

• finite — Synonyms and related words: Adamite, Adamitic, algorismic, algorithmic, aliquot, anthropocentric, anthropological, bound, bounded, cardinal, conditioned, confined, copyrighted, countable, cramped, decimal, definable, defined, definite, delimited …   Moby Thesaurus

• Regular cardinal — In set theory, a regular cardinal is a cardinal number that is equal to its own cofinality. So, crudely speaking, a regular cardinal is one which cannot be broken into a smaller collection of smaller parts.(The situation is slightly more… …   Wikipedia

• Successor cardinal — In the theory of cardinal numbers, we can define a successor operation similar to that in the ordinal numbers. This coincides with the ordinal successor operation for finite cardinals, but in the infinite case they diverge because every infinite… …   Wikipedia

• Huge cardinal — In mathematics, a cardinal number κ is called huge if there exists an elementary embedding j : V → M from V into a transitive inner model M with critical point κ and Here, αM is the class of all sequences of length α whose elements are in M …   Wikipedia