Sentence examples for a finite term of from inspiring English sources

By using a finite term of the adjoint vector sequence, we can get an approximate optimal control law.

"The sole submission in this case is that the disorder suffered, and still suffered, by the applicant is a sufficient mitigating circumstance to justify a long finite term of years instead of a whole-life tariff".

In order to avoid the problem of specifying salvage values after some finite term of office, we abstractly imagine the decision maker has an infinite time horizon but discounted at some (possibly fairly large) discount rate r, so the objective is max u ∫ 0 ∞ e - rt α ux + β u - 1 2 u 2 - Cx - G 2 x 2 dt.

end{aligned} Equations (19) represent the infinite system of linear equations which can be used to compute the approximate values of (A_{2m}) and (B_{2m}^{n}) by reducing it to a system with finite terms of n, m and k, i.e., (n=0,1,2, dots, N); (m =0,1,2 dots, M) and (k =0,1,2, dots, K) for suitable fixed positive numbers N, M, and K.

For real numbers, Lauricella functions, F D r ( a, b 1, ⋯, b r, c, x 1, ⋯, x r ), can be written in terms of a sum of a finite number of terms using the quadrature Gauss-Legendre, for instance.

The first sum in (26) is a finite sum of finite terms, and is hence finite.

A finite sequence is made up of a finite number of terms, and an infinite sequence contains infinitely many terms.

We first write the corresponding product expression into a q-series sum of a finite number of terms (i.e., q-series sum of N number of terms) with an error which tends to zero as N → ∞.

Truncation error results from ignoring all but a finite number of terms of an infinite series.

To see why this should be so, consider the partial sums formed by stopping after a finite number of terms.

Archimedes avoided actual contact with infinity, however, by showing that the series obtained by stopping after a finite number of terms could be made to exceed any number less than 4/3.