Sentence examples for mathematical derivation is from inspiring English sources

Then, the mathematical derivation is different from that one used for the unmixed feed case.

For the nonhomogeneous problem, the mathematical derivation is much complicated than the homogeneous case since the material properties vary with coordinate.

Thirdly, the relatively loose sufficient stability condition is acquired, which could be transformed into a group of linear matrix inequalities (LMIs) via Schur complement as well as the strict mathematical derivation is given.

Starting with an interatomic potential description, a mathematical derivation is presented to show that the local environment dependence of the activation barrier can be captured using cluster interaction models.

Their mathematical derivation is exemplarily described in[41].

The mathematical derivation is performed using Fourier series.

In this paper, a mathematical derivation was performed to prove that there are three characteristics of chirp signals, self-compression, cyclic shift and chirp rate orthogonality.

To obtain a generally applicable formula for estimating SDHFUPR, a mathematical derivation was applied (see Statistics section).

Full mathematical derivations are presented for the mechanisms before they are evaluated according to contemporary needs.

The experimental procedures and mathematical derivations are presented here in details.

The necessary mathematical derivations are provided taking a first order plus time delay model as an example.