cartesian product
Car·te·sian prod·uct
C c Transcription
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- US Pronunciation
- US IPA
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- [kahr-tee-zhuh n prod-uh kt, -uhkt]
- /kɑrˈti ʒən ˈprɒd əkt, -ʌkt/
-
- US Pronunciation
- US IPA
-
- [kahr-tee-zhuh n prod-uh kt, -uhkt]
- /kɑrˈti ʒən ˈprɒd əkt, -ʌkt/
Definitions of cartesian product words
- noun cartesian product the set of all ordered pairs of members of two given sets. The product A × B is the set of all pairs <a, b> where a is a member of A and b is a member of B 3
- noun cartesian product the collection of all ordered pairs of two given sets such that the first elements of the pairs are chosen from one set and the second elements from the other set: this procedure generalizes to an infinite number of sets. 1
- noun Technical meaning of cartesian product (mathematics) (After Renee Descartes, French philosper and mathematician) The Cartesian product of two sets A and B is the set A x B = {(a, b) | a in A, b in B}. I.e. the product set contains all possible combinations of one element from each set. The idea can be extended to products of any number of sets. If we consider the elements in sets A and B as points along perpendicular axes in a two-dimensional space then the elements of the product are the "Cartesian coordinates" of points in that space. See also tuple. 1
- noun cartesian product (set theory) The set of all possible pairs of elements whose components are members of two sets. Notation. 0
- noun cartesian product (databases) All possible combinations of rows between all of the tables listed. 0
Information block about the term
Origin of cartesian product
First appearance:
before 1955 One of the 4% newest English words
First recorded in 1955-60
Historical Comparancy
Parts of speech for Cartesian product
noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
cartesian product popularity
This term is known only to a narrow circle of people with rare knowledge. Only 2% of English native speakers know the meaning of this word.
According to our data most of word are more popular. This word is almost not used. It has a much more popular synonym.
cartesian product usage trend in Literature
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