Definition
Let be a topological vector space. Let be an index set and for all .
The series is called unconditionally convergent to, if
- the indexing set is countable and
- for every permutation of the relation holds:
Read more about this topic: Unconditional Convergence
Famous quotes containing the word definition:
“... we all know the wag’s definition of a philanthropist: a man whose charity increases directly as the square of the distance.”
—George Eliot [Mary Ann (or Marian)
“One definition of man is “an intelligence served by organs.””
—Ralph Waldo Emerson (1803–1882)
“Perhaps the best definition of progress would be the continuing efforts of men and women to narrow the gap between the convenience of the powers that be and the unwritten charter.”
—Nadine Gordimer (b. 1923)