Sentence examples for the simplest proof from inspiring English sources

In these circumstances, a certain kind of writer has, again and again, reverted to the list – perhaps as the simplest proof of existence in the first place.

In fact it appears that the simplest proof for this problem involves an induction where you assume the statement for a string whose length is TWO less than the string you need to prove something about.

The simplest proof from such data is that the Moon looks like a disk when viewed from any point in the orbit - only a spheroid, not a disk, can appear so.

The simplest proof is to use the Davies Kato characterization (below) that closedness is equivalent to lower semicontinuity.  .

The simplest proof is to use the Davies Kato characterization (below) that closedness is equivalent to lower semicontinuity.

For completeness we include the simple proof.

For a lack of easy reference, we include the simple proof.

The next section is devoted to the (simple) proof of Theorem 1.2 based on Lemma 1.3 and to a useful equivalent formulation (Corollary 2.1).

Remark 3.7 The simple proof of Proposition 3.3 shows that it can be generalized also to multidimensional cases and to integral inequalities with general measures.

The simple proof of the Siu theorem was found by Demailly [45] who devised a special approximation of an arbitrary plurisubharmonic function by smooth ones with possibly analytic singularities.

In fact, the simple proof by Fujii and Kamei that the latter is jointly convex stems from a joint operator convexity result; see the discussion in Appendix C. The joint convexity of the Umegaki relative entropy, in contrast, stems from the basic concavity theorem in [30].