Sentence examples for a 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.

Hence, here we do not even need a deep result from analysis such as the mean value theorem.

It turns out that (by a deep result of Magidor, published in 1977) GCH can first fail at ℵω (assuming the consistency of a supercompact cardinal).

However, there is a deeper result here which we discuss below.

A deeper result on the weak solution was obtained by Caffarelli et al. in [4].

During the same timeframe, Kirchberg (unpublished) and Phillips [85] independently proved a beautiful, deep result which classifies up to isomorphism a class of C ∗ -algebras satisfying various properties.

This is a new and deep result that may have several applications.

A deep, fundamental result in flow dynamics is.