View source for Divergence: What to Do Till the Mathematician Comes

{{Infobox paper
| title = Divergence: What to Do Till the Mathematician Comes
| author = [[Thomas E Phipps]]
| keywords = [[divergence]], [[divergent series]], [[mathematics]], [[definitions]], [[convergence]], [[infinite series]], [[summability]], [[terminal summation]], [[Brown's function]], [[Brown's series]], [[Euler]]
| published = 2001
| journal = [[Physics Essays]]
| volume = [[14]]
| number = [[4]]
| pages = 341-353
}}

==Abstract==

It is argued that definitions may be chosen a posteriori to reflect mathematical existence?the opposite of the usual approach by which definitions are chosen a priori and used to prove existence. This inverted view is applied to the question of ?divergence.? It is shown that a definition employing approximations to process remainders known as ?terminal summation? allows ?values? of divergent series to exist.

[[Category:Scientific Paper|divergence till mathematician comes]]