Sentence examples for construct integral from inspiring English sources

By taking advantage of the orthogonality of the spherical harmonic, it is possible to construct integral formulas to determine the geopoten-tial coefficients.

Using the procedure, one can in principle solve any properly constructed integral equation for solutions in the analytic domain.

Both delay-independent and delay-dependent design methods are subsequently developed by constructing integral types of Lyapunov Krasovskii functional candidates and using the extended Wirtinger׳s inequality, and presented in terms of standard linear matrix inequality (LMI).

Kim [17] defined the ferminoic and deformic expression of -adic -Volkenborn integral at and He constructed integral equation of the fermionic expression of -adic -Volkenborn integral at By using this integral equation, he defined new generating functions of -Euler numbers and polynomials.

The instrumentation of a newly constructed integral-type railway bridge in Stockholm Swedenn) is described.

In the 'Integral equation for the effective energy potential' section, we construct the integral equation governing the EPP on which all the subsequent results of this paper focus.

We then show how to construct the integral equations and differential equations related to the Robin problems.

We construct an integral representation of eigenfunctions for Macdonald'sq-difference operator associated with the root system of typeCn.

Firstly, we employ a exchange technique and construct an integral operator for the corresponding second-order multi-point boundary value problem.

(4.35) Equation (4.35) is a first-order linear partial differential equation in terms of (R=R t,x,dot{x})), and it is known that any particular solution is sufficient to construct an integral motion.

Next, we consider impulsive effect as a perturbation to the corresponding problem without the impulsive terms, so that we can construct an integral operator for an appropriate linear Dirichlet boundary value problem and obtain its first eigenvalue and eigenfunction.