cartesian product wikipedia - EAS
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See all on Wikipediahttps://en.wikipedia.org/wiki/Cartesian_productIn mathematics, specifically set theory, the Cartesian product of two sets A and B, denoted A × B, is the set of all ordered pairs (a, b) where a is in A and b is in B. In terms of set-builder notation, that is A table can be created by taking the Cartesian product of a set of rows and a set of columns. If
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See moreA deck of cards
An illustrative example is the standard 52-card deck. The standard playing card ranks {A, K, Q, J, 10, 9, 8, 7, 6, 5, 4, 3, 2} form a 13-element set. The card suits {♠, ♥, ♦, ♣} form a four-element set. The...
See moreA formal definition of the Cartesian product from set-theoretical principles follows from a definition of ordered pair. The most common
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See moren-ary Cartesian product
The Cartesian product can be generalized to the n-ary Cartesian product over n sets X1, ..., Xn as the set...
See moreCategory theory
Although the Cartesian product is traditionally applied to sets, category theory provides...
See moreWikipedia text under CC-BY-SA licenseWas this helpful?Thanks! Give more feedback- https://en.wikipedia.org/wiki/Cartesian_product_of_graphs
In graph theory, the Cartesian product G□H of graphs G and H is a graph such that
• the vertex set of G□H is the Cartesian product V(G) × V(H); and
• two vertices (u,u' ) and (v,v' ) are adjacent in G□H if and only if either
The Cartesian product of graphs is sometimes called the box product of graphs [Harary 1969].Wikipedia · Text under CC-BY-SA license - https://simple.wikipedia.org/wiki/Cartesian_product
Cartesian product From Simple English Wikipedia, the free encyclopedia In mathematics, sets can be used to make new sets. Given two sets A and B, the Cartesian product of A with B is written as A × B, and is the set of all ordered pairs whose first element is a member of A, and whose second element is a member of B.
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- https://en.wikipedia.org/wiki/Talk:Cartesian_product
- The opening definition of this article is surely incorrect (or at least incomplete): "Specifically, the Cartesian product of two sets X (for example the points on an x-axis) and Y (for example the points on a y-axis), denoted X × Y, is the set of all possible ordered pairs whose first component is a member of X and whose second component is a membe...
- https://en.wikipedia.org/wiki/Cartesian
Cartesian product, a direct product of two sets Cartesian product of graphs, a binary operation on graphs Cartesian tree, a binary tree in computer science Philosophy Cartesian anxiety, a hope that studying the world will give us unchangeable knowledge of ourselves and the world Cartesian circle, a potential mistake in reasoning
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- https://zh.wikipedia.org/wiki/笛卡儿积
在数学中，两个集合 和 的笛卡儿积（英語： Cartesian product ），又称直积，在集合论中表示为 ，是所有可能的有序对組成的集合，其中有序對的第一个对象是 的成员，第二个对象是 的成员。 = {(,)} 。 舉個實例，如果集合 是13个元素的点数集合 {,,,,,} ，而集合 是4个元素的花色集合 …
- https://ja.wikipedia.org/wiki/直積集合
数学において、集合のデカルト積（デカルトせき、英: Cartesian product ）または直積（ちょくせき、英: direct product ）、直積集合、または単に積（せき、英: product ）、積集合は、集合の集まり（集合族）に対して各集合から一つずつ元をとりだして組にしたもの（元の族）を元として持つ新たな ...
- https://en.wikipedia.org/wiki/Cartesian_coordinate_system
A Cartesian coordinate system (UK: / k ɑː ˈ t iː zj ə n /, US: / k ɑːr ˈ t i ʒ ə n /) in a plane is a coordinate system that specifies each point uniquely by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, measured in the same unit of length.Each reference coordinate line is called a coordinate axis or just ...
- https://en.wikipedia.org/wiki/Cartesian_tensor
Cartesian tensors may be used with any Euclidean space, or more technically, any finite-dimensional vector space over the field of real numbers that has an inner product. Use of Cartesian tensors occurs in physics and engineering, such as with the Cauchy stress tensor and the moment of inertia tensor in rigid body dynamics.
- https://en.wikipedia.org/wiki/Product_(category_theory)
In the category of sets, the product (in the category theoretic sense) is the Cartesian product. Given a family of sets the product is defined as with the canonical projections Given any set with a family of functions the universal arrow is defined by Other examples:
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