This list of mathematical series contains formulae for finite and infinite sums. SRFI 41 enables the expression of both finite and infinite sequences with extraordinary economy. All these algorithms use the algorithms for factorization of polynomials over finite fields. Rado theorem and its analogue for intersecting families of subspaces over finite fields. The Cholesky factorization can be generalized to (not necessarily finite) matrices with operator entries. These are finite groups generated by reflections which act on a finite-dimensional Euclidean space. The syntax for expressing constraints over finite domains depends on the host language. In the context of finite automata see . A direct sum of finite cyclic groups is periodic. The automata theory was developed in the mid-20th century in connection with finite automata. Sometimes an assumption of finite variance formula 6 is not necessary. Any ultrafilter containing a finite set is trivial. There exist numerous topologies on any given finite set. This occurs, e.g. in the character theory of finite groups. In addition to limits at finite values, functions can also have limits at infinity.