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El Símbolo de Intersección, simbolizado por ∩, se usa en la teoría de conjuntos para denotar la intersección de dos o más conjuntos. Una intersección contiene todos los elementos que son comunes a todos los conjuntos considerados.
The set intersection operator returns the shared elements between two sets. The operator is denoted using the cap symbol.
The ∩ symbol is chiefly used in set theory to show the intersection of two sets. The intersection of two sets contains all elements that are present in both sets. If an element belongs to both Set A and Set B, then it will belong to the intersection of A and B.
The intersection of two sets and , denoted by , is the set of all objects that are members of both the sets and . In symbols: A ∩ B = { x : x ∈ A and x ∈ B } . {\displaystyle A\cap B=\{x:x\in A{\text{ and }}x\in B\}.}
In mathematics, the intersection of two or more objects is another object consisting of everything that is contained in all of the objects simultaneously. For example, in Euclidean geometry , when two lines in a plane are not parallel, their intersection is the point at which they meet.
The symmetric difference between two sets \(A\) and \(B\), denoted by \(A \bigtriangleup B\), is the set of elements that can be found in \(A\) and in \(B\), but not in both \(A\) and \(B\). In symbols, it means \(\forall x\in{\cal U}\, \big[x\in A \bigtriangleup B \Leftrightarrow x\in A-B \vee x\in B-A)\big]\).
The intersection of two sets contains only the elements that are in both sets. The intersection is notated A ∩ B A ∩ B. More formally, x ∈ A ∩ B x ∈ A ∩ B if x ∈ A x ∈ A and x ∈ B x ∈ B. The complement of a set A contains everything that is not in the set A. The complement is notated A A, or Ac A c, or sometimes ∼ A ∼ A.
