Sentence examples for simple proof that from inspiring English sources

This is a reasonable assumption and subject to a simple proof that need not be shown here.

We show a simple proof that these are well-solvable problems and obtain their solution.

In the general case we also get a very simple proof that nuclearity is preserved under the deformation.

Some might see evidence that Chinese families emphasise hard work, and the results that follow, as simple proof that all can succeed, given the right attitude.

Along the way, we give a simple proof that the best complementation constant of ℓn2 in ℓ1 is of order √lnn.

Does it count as affectionate allusion that a semi-naked man is bundled out of a window to avoid embarrassment, as happened in episode one all those years ago,or is it simple proof that the series has run out of places to go?

The idea of slicing by parallel planes was rediscovered in China, and a simpler proof that the volume of a sphere is two-thirds the volume of its circumscribing cylinder, using areas alone, was given by Liu Hui in ad 263.

A simple proof shows that if k-distance TSPs are well-solvable, so is the QAP obtained by their sum, where the solution of 1-distance TSPs dominates all the others.

They say the species offers proof that simple conservation steps can have a big impact, even for species driven to the edge of oblivion.

We use a simple proof to show that this assumption of Poisson handoff arrival process is not justified for a two-cell wireless network.

□ Remark 18 The function t ⟼ S t (z ) = D f t H (z ) satisfies the "variational equation" (47) d d t S t (z ) = J D z 2 H (f t H (z ), t ) S t (z ), S 0 (z ) = I (this relation can be used to show that S t (z ) is symplectic [21,23] ; it thus gives a simple proof of the fact that Hamiltonian phase flows consist of symplectomorphisms [21,23] ).