Sentence examples for components of the proof from inspiring English sources

A checkers hobbyist has independently verified major components of the proof with another computer program.

One of the main components of the proof is a Grauert-type theorem for "holomorphic" vector bundles defined on maximal ideal spaces of certain Banach algebras.

A key component of the proof of the next theorem is the following lemma.

Part of the proof will come from using standard components and procedures.

Section 3 is devoted to show that there are at least two direction turns of the component and complete the proof of Theorem 1.1.

Then ℙ Ω (S) = T ∗ (TS max⁡(s ), where ℙ Ω (S) denotes all but s largest absolute value components of S. Proof Letting Ω = { S : ‖ TS ‖0 ≤ s }, we have (10) P Ω S argmin TS 0 ≤ s ⁡ X − S 2 = argmin TS 0 ≤ s ⁡ T X − T S 2 = argmin Y 0 ≤ s ⁡ T X − Y 2 = P B T S, where ℬ = { Y : ‖ Y ‖0 ≤ s } = Y max⁡(s ) and the third equation is satisfied by introducing Y = TS.

That means, all structural components of the heat shield are space-proof.

Therefore we can reason in each coarse connected component as in the proof of Lemma 2.6.

The core components of the architecture are described supported by a proof of concept demonstrator evaluated in real organizational contexts.

One of the more controversial components of the Obama rules lowered the burden of proof for sexual assault cases.

The paradox of the proof Caroline Chen | Project Wordsworth | 10 May 2013.