Sentence examples for approach the integral from inspiring English sources
We use trapezoid's rule to approach the integral and do an approximate truncation for the series by choosing the sum of the front M + 1 terms.
We let (tau =mh) with a given positive integer m and apply the composite Simpson's rule to approach the integral terms z_{n}= int^{t_{n}}_{t_{n}-tau}gbigl(t_{n},xi,x xi) bigr), dxi quad mbox{and}quad Z_{i}^{(n)}= int^{t_{n}+c_{i}h}_{t_{n}+c_{i}h-tau}gbigl(t_{n}+c_{i}h, xi,x xi bigr), dxi.
(bar{X_{n}}) approaches the integral term, this paper will choose a composite trapezoidal rule as the tool of the disperse integral to solve this case.
Actually, the authors proved that one can approach the fractional integral of order (0<2-alpha<1/2 0<2-alpha<1/2 at final time by a desired state by acting of a disthebuted control.
Hitherto, two groups of concepts have been proposed, the critical plane approach and the integral approach.
These methods are constructed to approach the kernel of the correspondent integral operator.
It incorporates the slope and intercept approach into the integral representation for diffusion.
There have been many methods in the existing works such as Jenson's inequality [36], the reciprocally convex approach [37], the integral inequality technique [38], and so on.
During the controller design procedure, the input delay is dealt with by combining the smoothed dead-zone approach with the integral mean value theorem.
In this approach, the flux integral on the right-hand side is computed based on a high-order of accuracy whilst the left-hand side the Jacobian is performed based on the low-order.
