Sentence examples for an auxiliary function from inspiring English sources

The problem is solved with an auxiliary function satisfying the Dirichlet zero condition at the boundary.

The output of the ACFNN controller is the sum of the FNN identifier, the robust controller, and an auxiliary function.

While drawing once served an auxiliary function — that is, as studies for paintings, sculpture and architecture — over the last century it became a stand-alone medium.

Insofar as security coöperation is seen as an auxiliary function to the occupation, it has added to a sense of helplessness and loss of agency and has focussed popular anger and frustration away from the struggle for freedom and independence.

By introducing an auxiliary function, we can change the coupled governing equations with variable coefficients for the deflection and rotation to a single governing equation.

Finally we design a global optimization method for problem (QPOP) by combining the new (strongly or ε-strongly) local optimization method and an auxiliary function.

Using an auxiliary function, that is the solution of a wave equation on the sphere defining the outer boundary of the numerical grid, the absorbing boundary condition is simply written as a perturbation of the usual Sommerfeld radiation boundary condition.

By using the Laplace transform, the mixed initial-boundary-value problem is reduced to triple series equations, then to a singular integral equation of the first kind by introducing an auxiliary function.

Employing an analytical approach, the coupled governing stability equations of the laminated plate are converted into two uncoupled partial differential equations in terms of transverse displacement and an auxiliary function.

We begin with an auxiliary function φ.

Then, we will define an auxiliary function.