Sentence examples for case of conjecture from inspiring English sources

The same argument works in the case of conjecture (C^*(1/2).)(square ).

The second theorem we prove is a special case of Conjecture 1.6 with the extra condition that.

Obviously, the case (i=0) of Conjecture 5.8 is just the p-affine isoperimetric inequality by Lutwak (see [17]).

In the case of the conjecture (C^*(1/2)) we proceed in a similar fashion.

A special case of a conjecture raised by Forrest and Runde (2005) [10] asserts that the Fourier algebra of every non-abelian connected Lie group fails to be weakly amenable; this was already known to hold in the non-abelian compact cases, by earlier work of Johnson (1994) [13] and Plymen (unpublished note).

We investigate special cases of the conjecture and prove that the conjecture holds for some of them.

(He'd already solved some special cases of the conjecture).

The cases of the conjecture in dimensions one and two were handled in the 19th century, and Stephen Smale solved the cases where n ≥ 5 in 1961.

Also some special cases of Alspach Conjecture are solved in this article.

Besides, various cases of the conjecture were proved by Cellina [4] and Fryszkowski [5].

Obviously, the case i = 0 of Conjecture 4.14 is just the Blaschke-Santaló inequality (see [18, 28]).