cardinal number


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cardinal number

, numeral
1. a number denoting quantity but not order in a set
2. Maths Logic
a. a measure of the size of a set that does not take account of the order of its members
b. a particular number having this function
Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005

cardinal number

[′kärd·nəl ′nəm·bər]
(mathematics)
The number of members of a set; usually taken as a particular well-ordered set representative of the class of all sets which are in one-to-one correspondence with one another.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

cardinal number

The cardinality of some set.
This article is provided by FOLDOC - Free Online Dictionary of Computing (foldoc.org)

cardinal number

The number that states how much or how many. In "record 43 has 7 fields," the 7 is cardinal. See cardinality. Contrast with ordinal number.
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References in periodicals archive ?
Four is well known as the only cardinal number truthful in number of letters per name.
Recall that [alpha],[beta] being cardinal numbers, [alpha] = [absolute value of A], [beta] = [absolute value of B] where, A,B are disjoint sets, the sum [alpha] + [beta] is the cardinal number [gamma] = [absolute value of A [union] B] Y Concerning an infinite sum, if the sets [A.sub.i](i [member of] I) are pairwise disjoint and, [k.sub.i] = [absolute value of [A.sub.i]] then [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] ([4], p.
This ordinal number is also identical to its cardinal power; in the above example the set a had both the ordinal and cardinal number four.
Since other (rarer) quasi-syllabic and syllabic spellings indicate that feminine forms of words for the cardinal numbers 3-10 end in -t, and since final -CV signs are used to represent final consonants in Late Babylonian orthography, the syllable sign -ta in the writing n-ta stands for final /t/ (It might be noted that E.
A set A [subset] L is said to be [beta]-algebrable if there exists an algebra B so that B [subset] A [union] {0} and card(Z) = [beta], where [beta] is a cardinal number and Z is a minimal system of generators of B.
There is much in this densely written but moderately sized volume: Frege's definition of a cardinal number and his claim that substantival uses of numerical expressions have primacy over adjectival ones; his adoption (in what is "arguably the most philosophically pregnant paragraph ever written" [p.
What happens if cardinal number names are used in the denominator instead of ordinals?
First, he juxtaposed the ordinal ranking inherent in valuation with cardinal numbers in which the goods being ranked are measured He did this to demonstrate a principle of economic calculation.
His constituency may be the last in the cardinal numbers but has great importance due to the CPEC.
His constituency may be the last in the cardinal numbers but has a great importance as the China Pakistan Economic Corridor (CPEC) passes from the same constituency via Gwadar Coastal route.
The book begins with an overview of preliminary notions and tools such as cardinal numbers, abstract and linear algebra, residual subsets, and lineability, spaceability, and algebrability.
He also assumes students to be familiar enough with Zorn's lemma, commutative diagrams, and ordinal and cardinal numbers that his brief review will suffice.