Sentence examples for integral taking from inspiring English sources

The mathematical formulation of this design index is based on the discrete Choquet integral, taking into account the interactions among the criteria.

In this section, our goal is to introduce some useful results about fBm and the corresponding stochastic integral taking values in a Hilbert space.

These equations were then solved numerically utilizing the Galerkin finite element method and the curvilinear integral taken along the central line of the curvilinear beam.

The factor Nru in front of the integral takes into account the Nru possible positions of the w-th best resource unit inside the total number Nru of resource units.

We consider the integral taken round the rectangular contour with vertices at (d pm mathrm{i}A) and (c pm mathrm{i}A), so that the side in (operatorname{Re}(s) < 0) parallel to the imaginary axis passes midway between the poles (s=1, 0 -1, -2, ldots, -N).

According to the quasi-classical transport theory based on Boltzmann's equation with the collision integral taken within the relaxation time approximation, the conductivity for vertical transport in SL minibands at zero temperature and low-field limit can be written as σ q ( E F ) = ∑ v e 2 τ q, v ℏ 2 1 4 π 2 ∫ Z B d 3 k ( ∂ E q, v ( k ) ∂ k z ) 2 δ ( E F − E q, v ( k ) ), q = hh,hl,so (2).

One is that together with the PO integrals taking the quadratic parabolic and hyperbolic phase terms, this work makes the NSDP theory be complete for treating the PO integrals with quadratic phase variations.

However, the resultant curvature estimate requires surface integrals taken over local neighborhoods.

This gap at temperature 0 K is further enhanced to d 2 = 0.181 for the same critical Coulomb energy u c = 1.7 and for hopping integrals taken up to third nearest neighbours.

Integrals taken over the Brillouin zone were carried out on a Monkhorst Pack grid (Monkhorst & Pack, 1976 ▶) with a maximum sample spacing of 0.05 Å−1.

Chaudhury [6] followed Watson [5] and solved the energy equation, based on integral analysis, taking into consideration the viscous dissipation.