countable


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countable

[′kau̇nt·ə·bəl]
(mathematics)
Either finite or denumerable. Also known as enumerable.

countable

(mathematics)
A term describing a set which is isomorphic to a subet of the natural numbers. A countable set has "countably many" elements. If the isomorphism is stated explicitly then the set is called "a counted set" or "an enumeration".

Examples of countable sets are any finite set, the natural numbers, integers, and rational numbers. The real numbers and complex numbers are not
References in periodicals archive ?
By the previous result, there exists a countable subset E of [epsilon], called a refiner set of A, such that A + [E.
gamma][member of][GAMMA]] of countable left reversible sub-semigroups of S satisfying the conditions 1 and 2 of the previous definition.
The interpretations of nouns presented by Langacker (1987) and Talmy (2000) substitute such terms for nouns as common, concrete, abstract, countable or count nouns, uncountable or mass nouns, which relate to syntactic or lexical categories, with schematic categories describing nouns in conceptual terms as designating matter in space, realized as region or quantity.
In English there are other uncountable (no-plural) nouns not regarded as mass nouns, whose Hungarian equivalents are regarded as countable (they do have a plural form), e.
For ease of understanding, here is a basic step-by-step summary of the Medicaid SPIA process that is designed to convert countable assets for Medicaid qualification purposes into a non-countable income stream of the healthy spouse:
The study of symmetric functions in countably many variables requires to leave the finite-dimensional realm and instead consider vector spaces V that contain countable linearly independent subsets [{[[upsilon].
Public assistance is not counted as part of countable income.
Definition 1 A subset A of a space (X, T) is called [zeta]-open if for every x [member of] A , there exists an open subset U [subset not equal to] X containing x and such that U \ sInt(A) is countable.
2] An IFTS (X, [tau]) is called intuitionistic fuzzy countable compact if each countable intuitionistic fuzzy open cover of X has a finite sub cover for X.
Then, the set of all discontinuity points of f is at most a countable set in R.
Also, not all turtle species have countable scutes; some have smooth shells.
Although these efforts must not limit access to beneficial interventions, it is likely that effective strategies that are less resource intensive will be viewed more favorably by payers and ac countable care organizations.