Sentence examples for formula and application of from inspiring English sources

When it happens that (left| mathbf {a} right| in mathbb {N}_{0}) expansion by the binomial formula and application of the Cauchy integral formula completes the proof of Theorem 1.

My current research is devoted to the theory of automorphic L-functions, trace formulae, and applications of the Langlands' beyond endoscopy proposal to algebraic groups and combinatorics.

The similar texture should give you a good idea of what the formula and application are like for a certain color as well as allowing you to see a color's precise shade and opacity.

And application of formula 3 upon the original data generated the covariance of the two variables as: (6).

Basis and application of a simple interaction formula for steel frames under fire conditions.

Basis and application of a simple interaction formula for steel columns under fire conditions.

Furthermore, to account for singular matrices, the generalization of a widely utilized formula that facilitates the application of statistical linearization is proved as well.

Extensive experimental results are still necessary for development of design formulas and application guidelines.

4 This follows from Stirling's formula [22] and an application of Jordan's lemma [26].

The scheme is based on the combination of high-order quadrature formulae, fast application of integral operators in Lippmann Schwinger equations, and the stabilized bi-conjugate gradient method (BI-CGSTAB).

This formula is an application of the midpoint method.