Sentence examples for with respect to the function from inspiring English sources

In [14], Berinde introduced the concepts of comparison function and ( c ) -comparison function with respect to the function φ : R + → R +.

Let us refer by the sequence to all the orthonormal polynomials which arise from the Gram-Schmidt procedure with respect to the function.

A split tree can be constructed in the same way if we reorder the discrete samples in an ascending order with respect to the function value, as shown in Figure 3(b).

It is easy to see that (2.36) is linear with respect to the function M, so that we can easily find the following recursive formulae for the calculation of c αβ and ω m (s, μ).

It is easy to see that (2.36) is linear with respect to the function M, so that we can easily find the following recursive formulas for the calculation of c α β and ω m ( s, μ ).

By convoluting an arbitrary function χ (t) with Eq. (17), we now obtain the solution of the velocity potential with respect to the function generally given by Eq. (4) as follows: (18).

Fixing ϕ, we minimize the functional E ϕ, h 1, h 2) with respect to the functions h 1 x) and h 2 x).

The results are discussed with respect to the functions of the mutated genes.

For, we define the truncation operator with respect to the functions and given by (3.19).

With respect to the functions V and K, we assume that.

With respect to the functions of working memory, we conclude that anxiety specifically impairs the processing efficiency of (control-demanding) manipulation processes (as opposed to mere maintenance).