Sentence examples for conjecture proved from inspiring English sources

If n = ℵ0, Łn can be axiomatized by (Łukasiewicz's conjecture, proved by Wajsberg): CpCqp, CCpqCCqrCpr, CCCpqqqCCqpp, CCCpqCqpCqp, CCNpNqCqp.

The starting point is the conjecture, proved in specific cases, that image representations which are invariant to translation, scaling and other transformations can considerably reduce the sample complexity of learning.

Wen and Zhang in [15] raised a conjecture: prove that (2.53).

If this conjecture proves correct, it will be important to identify the proteases responsible for cleavage of PrPC, here termed α-PrPases, and any hypothetical factors that may control their activity.

In his joint paper with Eichhorn and Sellers  [10] this conjecture was proved for the cases α = 1, 2, 3, 4. In this paper, we settle Sellers' conjecture for all α in the spirit of Watson  [21].

For n = 2, which corresponds to the ordinary sphere, the conjecture was proved in the 19th century.

Not as trivial as it sounds: it took almost a hundred years before his conjecture was proved by an eccentric Russian mathematician, Grigori Perelman, who then dramatically refused the million dollar prize for solving it.

The conjecture was proved by Matejíčka [4].

(1.9) This conjecture was proved in [13] recently.

This conjecture was proved by Qiu and Shen [8], and Barnard, Pearce and Richards [9], respectively.

This conjecture was proved by Qiu and Shen [14], and Barnard et al. [15], respectively.