An event or occurrence that signifies an ending. / A feeling of completeness; the experience of an emotional conclusion, usually to a difficult period.

plural of closure

harp shackle

plural of harp closure

The set of all the statements that can be deduced from a given set of statements.

(algebra, field theory, of a field F) A field G such that every polynomial over F splits completely over G (i.e., every element of G is a root of some polynomial over F and every root of every polynomial over F is an element of G).

plural of algebraic closure

plural of deductive closure

(mathematics, computer science) The set of all strings of finite length made up of elements of a given set. (Then the Kleene closure is said to be of that given set. For a given set S, its Kleene closure may be denoted as S^*. The Kleene closure includes a string of zero length. Strings are equivalent to ordered tuples but written without the parentheses and commas.)

(set theory, order theory, of a binary relation R on a set X) The smallest binary relation on X that includes R and is transitive. / (set theory, of a set X) The smallest transitive set that contains X.