Showed more generally that the loop space of the suspension of a wedge of spaces can be written as an infinite product of loop spaces of suspensions of smash products.
42.
Due to the Weierstrass factorization theorem, analytic functions can be written as infinite products, and these can sometimes be represented as finite products or quotients of the gamma function.
43.
Infinite products are also defined by the topological structure; it can be seen that an infinite product converges if and only if the sequence of its factors converges to 1.
44.
Infinite products are also defined by the topological structure; it can be seen that an infinite product converges if and only if the sequence of its factors converges to 1.
45.
*PM : absolute convergence implies convergence for an infinite product, id = 4227-- WP guess : absolute convergence implies convergence for an infinite product-- Status:
46.
*PM : absolute convergence implies convergence for an infinite product, id = 4227-- WP guess : absolute convergence implies convergence for an infinite product-- Status:
47.
*PM : proof of convergence condition of infinite product, id = 9738 new !-- WP guess : proof of convergence condition of infinite product-- Status:
48.
*PM : proof of convergence condition of infinite product, id = 9738 new !-- WP guess : proof of convergence condition of infinite product-- Status:
49.
Where, by definition, the left hand side is and the infinite product on the right hand side extends over all prime numbers ( such expressions are called Euler products ):
50.
The first infinite sequence discovered in Europe was an infinite product ( rather than an infinite sum, which are more typically used in calculations ) found by French mathematician Fran�ois Vi�te in 1593:
