Sentence examples for interchange of variables from inspiring English sources

This work develops the algorithm of inclusion and interchange of variables to obtaining the sizes, the placements and the control schemes of the capacitors banks that minimize the annual total cost while complying with the maximum and minimum voltage constraints.

Instead of to place the capacitors on candidate nodes that are previously selected by sensitivity factors and then to select their time-controls, the presented method examines the placement of the capacitors in all available positions (node, control) by evaluating directly the effects of the inclusion and the interchange of variables (capacitors) in the value of the objective function.

We derive the gradient descent flow equation of (13) with respect to ϕ. Making the interchange of variables x and y (i.e., x = y, y = x) for (13), we have E ϕ, h 1, h 2 = ∫ y ∈ Ω ∑ i = 1 2 ∫ x ∈ Ω K σ y − x h i y − I x log h i y M i ϵ ϕ x dx dy.

However, we can obtain a direct proof by applying the result obtained for ( a, b, c ) ∈ E a − by interchanging the role of variables.

Let us notice that interchanging the roles of variables x and y in what precedes yields an equivalent formulation of the fundamental solution, Ψ a, b ( x, y ) = 1 2 π log { e − π x 2 / 4 a b | ϑ 1 ( π 2 b ( y + i x ) | i a b ) | }, (12).

(i) Let us notice that interchanging the roles of variables x and y in what precedes yields an equivalent formulation of the fundamental solution, Ψ a, b ( x, y ) = 1 2 π log { e − π x 2 / 4 a b | ϑ 1 ( π 2 b ( y + i x ) | i a b ) | }, (12)  .

Now, formally the convolution property can be developed by taking the convolution sum, applying the Fourier transform sum to it, doing the appropriate substitution of variables, interchanging order of summations, et cetera, and all the algebra works out to show that it's a product.

To develop charts of fetal size we need to model CRL as a function of GA while for dating we interchange the variables and model GA as a function of CRL.

Lots of variables to consider".

Also, under this methodology, the problem is solved independently for each subsystem such that the state variables to be considered are the energy storage and energy net interchange of the subsystem.

term, = ύπαλλαγή, interchange of expressions, Quint.