Sentence examples for formula for the second from inspiring English sources

The formula, for the second night in a row, involved wearing down Philadelphia's starting pitcher and pouncing on its beleaguered bullpen, which is last in the National League in earned run average.

We derive a combinatorial formula for the second variation and prove that it is positive definite except along the first eigenspace, where it vanishes.

For 3-dimensional manifolds, we derive a formula for the second derivative of −log(det Δ) with respect to such a variation, at a critical point.

In [5] a formula for the second regularized trace of the problem generated by a Sturm-Liouville operator equation with a spectral parameter dependent boundary condition is found.

In this paper, we derive a general accuracy-preserving boundary flux quadrature formula for the second- and third-order node-centered edge-based finite-volume discretizations on triangular and tetrahedral grids.

In addition, since this result was new in the discrete time case, i.e., T = Z, the Rofe-Beketov formula for the second order Sturm-Liouville difference equation − Δ ( p k Δ x k ) + q k x k + 1 = 0 (5).

This paper presents a general formula for the second-order projection method combined with the level set method to simulate unsteady incompressible multi-phase flow with/out phase change flow encountered in fusion science and engineering.

This is done by using the general formula for the second-order directional derivative of the function K in the direction w=(w x,w y ), i.e. K_{mathbf{ww}} = {w_{x}^{2}}K_{xx} + 2w_{x}w_{y}K_{xy} + {w_{y}^{2}}K_{yy}, and then substituting the unit gradient and isophote vector directions for w.

We give an explicit formula for the first iteration: Theorem 7 (Second Perron-Kreuser bound for dominant solutions).

Note that such a reduction is originally used to deduce the formula for the first Birkhoff twist coefficient of periodic solutions of nonlinear, scalar Newtonian equations.

Main properties of eigenfunctions and eigenvalues in the theory of classical Sturm-Liouville problems are related to the integration by parts formula for the first-order derivatives.