Sentence examples for particular a proof from inspiring English sources

In particular, a proof of \(A \rightarrow B\) was no longer a construction that could be applied to any proof of \(A\) Two examples in \(\mathsf{J}\) are presented, showing modal theorems of \(\mathsf{K}\), and realizations for them.

(4) It yields information on asymptotic series and spectral concentration in a particularly clean way and, in particular, a proof of a Bender Wu type formula for the asymptotics of the perturbation coefficients in the Stark problem.

In particular, a proof-of-concept prototype system that integrates these three FSs is also developed and presented.

It provides in particular a local proof of the dimensional functional forms of the Brunn Minkowski inequalities.

With, in particular, a short proof of the hypercontractivity property of the Ornstein-Uhlenbeck semigroup, our exposition unifies in a simple way several previous results, interpolating smoothly from the spectral gap inequalities to logarithmic Sobolev inequalities and even true Sobolev inequalities.

In particular, as a proof-of-concept, we tested the proposed heuristic algorithm on instances of a real-world application concerning power generation, and instances of the convex biobjective Non-Linear Knapsack Problem.

In particular, this provides a proof of the termination of Solinas algorithm.

In particular, we deliver a proof for Algorithm 4. Theorem 1.

In particular, we show a proof of concept single chamber, mixture controlled variant that is capable of detecting strongly fluorescent cultures (the Fluorostat) such as E. coli expressing super folder GFP.

We will conclude the main part of the course by showing that techniques like diagonalization cannot separate P and NP - in particular, any proof of their inequivalence cannot relativize.

For me it's much more about an argument, a line of thinking, or a particular proof," she says.