Phrase guide
Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.
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noun
The set of all possible ordered pairs of elements, the being first from X, the second from Y, written X×Y. Formally, the set (x,y);|;x∈X;and;y∈Y.
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, sciences, set-theory
No example sentence was provided for this meaning.
Synonyms: none provided
Antonyms: none provided
noun
All possible combinations of rows between all of the tables listed.
Definition source: English Wiktionary via Wiktextract
Topics: computing, databases, engineering, mathematics, natural-sciences, physical-sciences, sciences
No example sentence was provided for this meaning.
Synonyms: none provided
Antonyms: none provided
noun
An (m+n)-dimensional space, formally composed of all possible ordered pairs of points from X and Y, but thought of as an independent (m+n)-dimensional space (in the sense that if, e.g. X and Y are vector spaces, the elements of X×Y are thought of as (m+n)-tuples instead of ordered pairs) and written X×Y.
Definition source: English Wiktionary via Wiktextract
Topics: geometry, mathematics, sciences
No example sentence was provided for this meaning.
Synonyms: none provided
Antonyms: none provided
noun
Any of several generalizations of the set-theoretic sense, especially one which shares the geometrical intuition outlined above, i.e. one such that the product can be thought of as an object in its own right and not just as a set of pairs.
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, sciences
No example sentence was provided for this meaning.
Synonyms: none provided
Antonyms: none provided
noun
the set of elements common to two or more sets
Definition source: Princeton WordNet 3.0
Synonyms: intersection, product
Antonyms: none provided
Broader terms: set
History
From Cartesian + product, after French philosopher, mathematician, and scientist René Descartes (1596–1650), whose formulation of analytic geometry gave rise to the concept.
Across languages
26 source translations are retained for this English entry.
