cardinality's Usage Examples:

In mathematics, the cardinality of a set is a measure of the "number of elements" of the 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.

generalization of the natural numbers used to measure the cardinality (size) of sets.

The cardinality of a finite set is a natural number: the number of elements.

statement that there is no set with cardinality strictly between the cardinality of the natural numbers and the cardinality of a straight line.

In set theory, the cardinality of the continuum is the cardinality or "size" of the set of real numbers R {\displaystyle \mathbb {R} } , sometimes called.

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.

In fact, the cardinality of the set of all real numbers, denoted by c {\displaystyle {\mathfrak {c}}} and called the cardinality of the continuum.

if and only if for every natural number, the set has a subset whose cardinality is that natural number.

It states: There is no set whose cardinality is strictly between that of the integers and the real numbers.

known as cardinality; informally, this is the size of a set.

In the above examples, the cardinality of the set A is 4, while the cardinality of set B.

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 cardinality of the line) is larger than the number of integers.

The cardinality of X is neither finite nor equal to ℵ 0 {\displaystyle \aleph _{0}} (aleph-null, the cardinality of the natural numbers).

The cardinality of a multiset is constructed by summing up the multiplicities of all.

The cardinality of a join between two tables is the numerical relationship between rows of one table and rows in the other.

by P ( A ) {\displaystyle {\mathcal {P}}(A)} ) has a strictly greater cardinality than A {\displaystyle A} itself.

In mathematics, the dimension of a vector space V is the cardinality (i.

In mathematics, a countable set is a set with the same cardinality (number of elements) as some subset of the set of natural numbers.

are the exceptional cases where changes to the usual dimension or the cardinality of the object (or of some part of it) occur.

The size or cardinality of a set is the number of elements it contains.

Synonyms:

number;

Antonyms:

minority; majority;