(set theory, of a set) The number of elements a given set contains.
Used in a Sentence
cardinality
Definitions, parts of speech, synonyms, and sentence examples for cardinality.
Editorial note
Most regex engines are backtracking (RE2 being a notable counterexample), which means that a regular expression with high-cardinality alternation (ie.
Examples16
Definitions4
Parts of speech1
Quick take
(set theory, of a set) The number of elements a given set contains.
Meaning at a glance
The clearest senses and uses of cardinality gathered in one view.
(type theory) The number of terms that can inhabit a type; the possible values of a type.
(religion) The status of being cardinalitial
Definitions
Core meanings and parts of speech for cardinality.
noun
(set theory, of a set) The number of elements a given set contains.
noun
(type theory) The number of terms that can inhabit a type; the possible values of a type.
noun
(religion) The status of being cardinalitial
noun
(data modeling, databases) The property of a relationship between a database table and another one, specifying whether it is one-to-one, one-to-many, many-to-one, or many-to-many.
Example sentences
Most regex engines are backtracking (RE2 being a notable counterexample), which means that a regular expression with high-cardinality alternation (ie.
The proof that the cardinality of the reals is non-countable is perfectly constructive, see [1] for a discussion of these and related issues.
I find it quite a curious idea, although an important parameter of the indices is the cardinality, which I don't see customizable.
If you have a low cardinality column (anything suitable for an enum), your indexes become incredibly fast and cheap.
My understanding is that HyperLogLog will estimate the cardinality e.g., the number of different types of events in the stream.
However, they are not suitable for situations where you have very high cardinality (> 100,000).
HLL can only estimate cardinality, it can't test for the existence of a key.
Yet the only property a set without any context really has is its cardinality.
More than the cardinality the client and server nodes are different in kind.
Of course, you can convert an unknown into a known pretty easily with: ¬u:) > For instance in the case of cardinality problem.
They do also estimate set cardinality and seem even more capable?
Bloom filters approximate set membership queries, HyperLogLogs approximate set cardinality queries.
Quote examples
The "infinity" referenced here, aleph-null, is provably both the cardinality of the set of even integers, and the set of odd integers.
I'm not sure in what sense you mean real numbers could "construct" anything, but you can make physically impossible shapes out of rational numbers too, so their cardinality has nothing to do with that.
([total function] AND [S finite]) Negating, we arrive at the definition of "procedural program": A "procedural" program is either a relation S <-> S that is not a total function (no restrictions on the cardinality of S) OR any relation S<->S but S must be infinite.
Proper noun examples
Cardinality of natural numbers and integers is also the same.
Frequently asked questions
Short answers drawn from the clearest meanings and examples for this word.
How do you use cardinality in a sentence?
Most regex engines are backtracking (RE2 being a notable counterexample), which means that a regular expression with high-cardinality alternation (ie.
What does cardinality mean?
(set theory, of a set) The number of elements a given set contains.
What part of speech is cardinality?
cardinality is commonly used as noun.