Sentence examples for proof proposed from inspiring English sources

He did not seriously take up the question and only formulated successively different variants of the principle when he learned from Ernst Zermelo that the proof, proposed by Argand and Cauchy, of the fundamental theorem of algebra makes an appeal exactly to the rejected, non-predicative definitions.

However, this does not mean that the solution is not unique, but that there are no mathematical bases to be sure of this assumption according to traditional proof proposed in the literature.

The proofs proposed here are anyway different and shorter.

This section (Sections 2.1– 2.13) of the article describes the original solutions and corresponding mathematical proofs proposed by K. Y. Gorbunov and V. A. Lyubetsky for the two problems in the field of trees reconciliation: inferring gene evolution along a species tree and trees reconciliation into a single tree (including the case of polytomous trees).

No shrewd new proof is proposed.

By allowing wine and beer licensees to sell these distilled products at 48 proof, the proposed amendment would create a significant new market for New York growers.

There is also a likelihood that strong national brands may finally begin to emerge, he said, citing as proof the proposed merger of Suiza Foods, the nation's largest dairy processor, and Dean Foods, which is No. 2 in the industry.

Furthermore, a rigorous proof is proposed to show that the designed triggering condition is free of the Zeno behavior.

The carbon coating technology provides an effective approach to enhance cycling performance in aqueous electrolyte as well as proof of proposed fading mechanism.

Then, a general method with a strict mathematical proof is proposed to calculate maximum axis radii of the unbalance response orbit for a geared rotor system.

The selection procedure for any system parameters, such as learning rates and some constant parameters, is represented by the proof of proposed theorems.