Sentence examples for a proof for a from inspiring English sources

(iii) We present a proof for a fixed 1 < p < ∞ (the case p = 1 follows analogously).

We present a proof for a fixed 1 < p < ∞ (the case p = 1 follows analogously).

This universal/existential dichotomy is a familiar one to logicians in formal logics there exists a proof for a formula \(X\) if and only if \(X\) is true in all models for the logic.

This allows us to prove that if G is a triangle-free spherical graph then any interval in G must induce a hypercube, thus providing a proof for a conjecture due to Berrachedi, Havel and Mulder.

Classical automated theorem proving of today is based on ingenious search techniques to find a proof for a given theorem in very large search spaces often in the range of several billion clauses.

Using a proof for a special case and molecular dynamics simulations, we show that our P K stress expression nonetheless represents a full measure of stress that is consistent with both the system virial and the Cauchy stress expression developed by Hardy.

The appearance of the cough response to IHDA and hypertonicity with delay, i.e., after the challenges, has previously been considered as a proof for an indirect stimulation of the cough receptors via a mediator release [ 6].

In 2010, Sahu and Chakraborty [25] gave a proof for such a general case as follows.

For these, students may rightfully ask for a justification, or a proof, for why the result is true.

But is it a proof for plagiarism?

Although Lemma 0.1 is probably known, we could not find a reference and hence include a proof for completeness.