Sentence examples for direction of the function from inspiring English sources

Here a direction d is said to be a descent direction of the function (f(x)) at x if and only if (nabla f(x)^{T}d<0).

When no evident direction of the function could be envisaged a ⇔ is reported.

When no evident direction of the function was envisaged a ⇔ is reported.

The cost function minimization is performed by applying a step in the direction of the cost function gradient with respect to the control field.

In either case − s ~ is a descent direction of the dual function.

Intutively, (84) implies that s(h,Λ) is an average descent direction of the dual function because its expectation is a descent direction.

From result (23), one knows that (bar{d}^{k}) is a descent direction of the merit function (f_{rho_{k}}(x)) at (x^{k}) when (bar{d}^{k}neq0).

(iii) From result (23), one knows that (bar{d}^{k}) is a descent direction of the merit function (f_{rho_{k}}(x)) at (x^{k}) when (bar{d}^{k}neq0).

The extent of mixing between positions at which product and intermediate species concentrations are measured in the reactor is revealed in both the direction of the hysteresis function and the relative magnitude of the inscribed area.

Since (-d"_{k} ) is a descent direction of the distance function at (w^{k}), along (-d"_{k}), one can find a new iterate which is closer to the solution set.

Traditional Gaussian estimation of distribution algorithms (EDAs) are confronted with issues that the variable variances decrease fast and the main search direction tends to become perpendicular to the improvement direction of the fitness function, which reduces the search efficiency of Gaussian EDAs (GEDAs) and makes them subject to premature convergence.