Sentence examples for formula and application 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.

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.

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

While some may attribute their success to a high G.P.A., competitive SAT scores, or parents who make a substantial monetary donation, admissions counselors maintain that all applicants are evaluated equally with a comprehensive formula and that each application is often read multiple times.

See [5, 9 13] for more kinematic formulas and their applications.

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

In the second part of the paper, we then investigate the practical implementation of the proposed formula and study the possible application of local, global or hybrid numerical approximations of that remaining integral, so as to further increase the computational efficiency.

It was found that the fundamental mode and frequency, for all the plate boundary conditions considered, is well estimated by the assumed-modes approach; higher modes are computed with less accuracy by this formula and for some enhanced applications the Rayleigh Ritz approach is necessary.

A number of Formula 1 applications and developments are used to illustrate the effectiveness of the improved understanding of the interlaminar fracture behaviour of composites.

The boundary condition on the free-stream side of the boundary layer is changed to reflect the shear on that surface due to the forced convection, and empirical data are used to develop a formula useful in design and applications.

Instead, it has become a formula for application elsewhere: retrogressive architecture plus "public" art and "public" spaces patrolled by private security guards plus corridors that look like streets.