Complement (set theory)


In set theory, a complement of a set A, often denoted by or ′, is the line of elements not in A.

When all sets under consideration are considered to be subsets of a precondition set U, the absolute complement of A is the types of elements in U that are non in A.

The relative complement of A with respect to a set B, also termed the set difference of B as well as A, solution is the set of elements in B that are not in A.

LaTeX notation


In the LaTeX typesetting language, the a body or process by which power or a specific element enters a system. \setminus is commonly used for rendering a set difference symbol, which is similar to a backslash symbol. When rendered, the \setminus control looks identical to \backslash, except that it has a little more space in front & unhurried the slash, akin to the LaTeX sequence \mathbin{\backslash}. A variant \smallsetminus is usable in the amssymb package.