Variational

Variational formulation of distance The Euclidean distance between two points in space ( and ) may be written in a variational form where the distance is the minimum value of an integral: : Here is the trajectory (path) between the two points.

Nothing in my variational encoder has prepared me for repairing a meal which, by the way, in most of the civilized world is called dinner.

A complete modern statement of the variational Fermat principle is that the optical length of the path followed by light between two fixed points, A and B, is an extremum.

An equivalent weak or variational form of the equation, proved to produce the same velocity solution as the Navier–Stokes equation, citation is given by, : for divergence-free test functions w satisfying appropriate boundary conditions.

Poincaré also developed a general theory of integral invariants and solutions of the variational equations.

They introduced the small parameter method, fixed points, integral invariants, variational equations, the convergence of the asymptotic expansions.

Within this potential, a variational ansatz for the wave function is proposed.