Sentence examples for by using the calculus from inspiring English sources

By using the calculus of variations, we transform the minimization of cost function to a six-dimensional two-point boundary value problem (BVP).

Hall [24] proved a new generalized Wirtinger-type inequality by using the calculus of variation and obtained a new value of which is given by (1.31).

A different equation is derived by two different methods, either by using the calculus of variations with the second variation of the total potential, or by considering the equilibrium of the deflected and twisted beam.

This problem was solved by using the Malliavin Calculus.

Problem* was solved for a diffusion by using the Malliavin Calculus of Bismut type in semigroup theory in [8].

The objective function is defined by using the network calculus, which is a deterministic theory and enables to bound these delays.

The objective function is defined by using the network calculus which is a deterministic theory and enables to determine bounded delays.

We obtain these transformations by using the fractional calculus method which is a more general method than the beta integral method.

Problem* was solved in [1] by using the Malliavin Calculus for jump processes (see [15 17] for related works). is called the Lévy measure.

To derive these estimates, a new derivative formula of Bismut Elworthy Li's type is established for the semigroup by using the Malliavin calculus and a finite-jump approximation argument.

By using the fractional calculus, semigroup theory and stochastic analysis techniques, [17] considered a class of nonlinear fractional Sobolev-type stochastic differential equations in a Hilbert space.