Sentence examples for deep result from inspiring English sources
He also gave the first proof of the law of quadratic reciprocity, a deep result previously glimpsed by Euler.
Also a different proof, of a deep result of J. Diestel, W. Ruess, W. Schachermayer about weak compactness in L1(E), is given.
The removal of the constant-rank condition whenp=q=2 involves the use of a deep result of Lojasiewicz from singularity theory.
Secondly, in weekly individual and group meetings over the next four years, Tom exemplified that the best research occurs when there is a simple surprise in the understanding of what might be thought of as a deep result.
This is a new and deep result that may have several applications.
A main tool in proving this deep result was some results concerning asphericity of convex bodies.
This is a vast subject with many deep results.
It went on to say that his name was "forever attached to deep results and important concepts within Riemannian geometry, symplectic geometry, string theory and group theory".
In this talk, I'll discuss a beautiful recent work on reproving and generalizing the results of Faltings using a method which sidesteps the associated deep results on abelian varieties and semisimplicity in his original work.
There was AltaVista, and Ask Jeeves, and HotBot, and Excite, and Infoseek, and Northern Light — with its deep results and its elegant floating schooner logo — and if you wanted to drag through several oceans at once, there was MetaCrawler.
They have a more traditional search engine that has good but not deep results.
