Sentence examples for mathematical justification from inspiring English sources

We know that, and we do not need mathematical justification to acknowledge it.

Weinstein's new perspective gives rise to equations that provide a coherent mathematical justification for why this extra term should be there.

Hoover supplied a mathematical justification, though: "In 1917 when the Communists overthrew the Russian government," he said, "there was 1 Communist for ever 2,277 persons in Russia.

We provide mathematical justification and error estimates for the NNR algorithm.

The paper contains mathematical justification of basic facts concerning the Brownian motor theory.

The scheme is demonstrated to be efficient through numerical experiments and reliable through rigorous mathematical justification.

We provide full mathematical justifications for the derived formulas, including precise estimates of remainders.

In this paper, we extend our previous work from [31, 32] in two specific ways: (i) we extend the network source model used from exactly sparse to near-sparse signals, and (ii) we provide a detailed mathematical and numerical justification of the usage of sparse recovery algorithms (including a bound on the reconstruction error) for this source model.

Therefore the present paper presents a mathematical asymptotic justification of the TPM technique.

Mathematical and physical justification of SY CN rationale invokes the existence of a relationship between the duration-dependent SY and runoff curve numbers (or potential maximum retention).

Crevecoeur (1993) developed a three-parameter bathtub-shaped failure rate model that enjoys nice mathematical properties and justification from engineering perspectives.