Definition, Betydelse & Synonymer | Engelska ordet CARDINALITY
CARDINALITY
Definition av CARDINALITY
- (matematik) kardinalitet
Antal bokstäver
11
Är palindrom
Nej
Sök efter CARDINALITY på:
Wikipedia
(Svenska) Wiktionary
(Svenska) Wikipedia
(Engelska) Wiktionary
(Engelska) Google Answers
(Engelska) Britannica
(Engelska)
(Svenska) Wiktionary
(Svenska) Wikipedia
(Engelska) Wiktionary
(Engelska) Google Answers
(Engelska) Britannica
(Engelska)
Exempel på hur man kan använda CARDINALITY i en mening
- Two sets have the same cardinality if, and only if, there is a one-to-one correspondence (bijection) between the elements of the two sets.
- In mathematics, cardinality describes a relationship between sets which compares their relative size.
- In mathematics, the empty set or void set is the unique set having no elements; its size or cardinality (count of elements in a set) is zero.
- The number of elements of a finite set is a natural number (possibly zero) and is called the cardinality (or the cardinal number) of the set.
- Cantor's diagonal argument shows that the power set of a set (whether infinite or not) always has strictly higher cardinality than the set itself (or informally, the power set must be larger than the original set).
- Like the other axioms of countability, separability is a "limitation on size", not necessarily in terms of cardinality (though, in the presence of the Hausdorff axiom, this does turn out to be the case; see below) but in a more subtle topological sense.
- The uncountability of a set is closely related to its cardinal number: a set is uncountable if its cardinal number is larger than aleph-null, the cardinality of the natural numbers.
- For every vector space there exists a basis, and all bases of a vector space have equal cardinality; as a result, the dimension of a vector space is uniquely defined.
- Multiple occurrences of identical elements have no effect on the cardinality of a set or its contents.
- The set of all integer sequences is uncountable (with cardinality equal to that of the continuum), and so not all integer sequences are computable.
- The axiom schema is motivated by the idea that whether a class is a set depends only on the cardinality of the class, not on the rank of its elements.
- However, the cardinality of the set of functions in the closed linear span is the cardinality of the continuum, which is the same cardinality as for the set of polynomials.
- Continuum hypothesis, a conjecture of Georg Cantor that there is no cardinal number between that of countably infinite sets and the cardinality of the set of all real numbers.
- This notation is meant to be suggestive of the fact that the cardinality of the disjoint union is the sum of the cardinalities of the terms in the family.
- Rubin, use the term transfinite cardinal to refer to the cardinality of a Dedekind-infinite set in contexts where this may not be equivalent to "infinite cardinal"; that is, in contexts where the axiom of countable choice is not assumed or is not known to hold.
- In mathematics, the rank, Prüfer rank, or torsion-free rank of an abelian group A is the cardinality of a maximal linearly independent subset.
- Then we can apply the axiom of replacement to replace each element of that powerset of x by the initial ordinal number of the same cardinality (or zero, if there is no such ordinal).
- Further, all the maximal algebraically independent subsets have the same cardinality, known as the transcendence degree of the extension.
- In mathematics, particularly in set theory, the aleph numbers are a sequence of numbers used to represent the cardinality (or size) of infinite sets that can be well-ordered.
- In 1973 he and John Hopcroft published the Hopcroft–Karp algorithm, the fastest known method for finding maximum cardinality matchings in bipartite graphs.
Förberedelsen av sidan tog: 534,80 ms.