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Venn diagram for "''A'' is a subset of ''B''". Modification of Image:Venn A intersect B.svg based on w:en:Image:Venn A subset B.png {{pd-self}} File usage.
A Venn diagram is a widely used diagram style that shows the logical relation between sets, popularized by John Venn (1834–1923) in the 1880s. The diagrams are used to teach elementary set theory, and to illustrate simple set relationships in probability, logic, statistics, linguistics and computer science.
If A and B are sets and every element of A is also an element of B, then: . A is a subset of B, denoted by , or equivalently,; B is a superset of A, denoted by .; If A is a subset of B, but A is not equal to B (i.e. there exists at least one element of B which is not an element of A), then:
Given two sets A and B, A is a subset of B if every element of A is also an element of B. In particular, each set B is a subset of itself; a subset of B that is not equal to B is called a proper subset. If A is a subset of B, then one can also say that B is a superset of A, that A is contained in B, or that B contains A. In symbols, A ⊆ B ...
A is a subset of B. B is a superset of A. An Euler diagram is a graphical representation of a collection of sets; each set is depicted as a planar region enclosed by a loop, with its elements inside. If A is a subset of B, then the region representing A is completely inside the region representing B. If two sets have no elements in common, the ...
English: Venn diagram for the set theoretic intersection of A and B. Français : Diagramme de Venn montrant l'intersection de deux ensembles A et B. Italiano: Diagramma di Venn per l'intersezione degli insiemi A e B.
Conceptual Venn diagram showing the relationships among different points of a subset of . A {\displaystyle A} = set of accumulation points of S {\displaystyle S} (also called limit points), B = {\displaystyle B=} set of boundary points of S , {\displaystyle S,} area shaded green = set of interior points of S , {\displaystyle S,} area shaded ...
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