Sentence examples for functional associates from inspiring English sources

This functional associates to any simple curve Γ the regularize determinant of the Laplace operator on the manifold obtained by cutting M along Γ and imposing Dirichlet boundary conditions.

Finding the genetic source of this variation and identifying the functional associates requires a genetic reference population that has been broadly characterized for brain and behavioural function.

In the sequel, we denote by the linear regular functional associated with and by the linear regular functional associated with.

In this section, we discuss the decay rates of the energy functional associated with problem (1.6).

To begin with, we discuss the differentiable properties of the Lagrange functional associated with problem (3.1 - 3.3 3.1 - 3.3

In Section 4, we study the decay rate of the energy functional associated with problem (1.6).

which is clearly the energy functional associated with the gradient descent flow (20).

In Section 3, we consider the case where the energy functional associated with problem (P) is coercive.

end{aligned} The integral functional associated with problem (P) is varphi (u,v =Phi (u,v -Psi (u,v -Psi

By making use of the Clarke dual, we study the dual variational functional associated with (1), which is an indefinite functional.

On the weighted Sobolev space E, a certain variational functional associated with (1.1) is defined and fast homoclinic solutions are the critical points of the certain functional.