Sentence examples for through the integral from inspiring English sources

Internal displacements are determined through the integral equation Eq. (2) with the source point positioned at the domain.

On the other hand, the stress field at internal nodes is obtained through the integral representation of stresses (Brebbia and Dominguez 1992; Hong and Chen 1988).

The SSP is defined as a spatial distribution of the power (i.e., the second-order statistics) of the random wavefield backscattered from the remotely sensed scene observed through the integral transform operator [1, 2].

The time-averaged force can be expressed through the integral over a closed surface surrounding the body mathbf{F} = oint langle mathbf{T} ranglecdot mathbf{n},mathrm{d}/A, (2).

Functional connectivity can be accessed through the Integral Index of Connectivity (IIC), which considers the habitat patch size, the amount of flux arriving to that patch, and the topological position of the patch within the habitat patch network.

The pre-Mesozoic metamorphic geology of Mexico is summarized in this review through the integral analysis of 11 deep orogenic systems composed altogether of more than 20 individual metamorphic complexes that span in age from the Paleoproterozoic (Statherian) to the middle Permian (Roadian, probably extending into the earliest Triassic).

As already remarked, the computation of the fluxes through the integrals (11 - 13 11 - 13e convenisntly performoreif the primitive variables are available at eaconvenientlye quadrature performed

Through numerical examples, the integral equation method is shown to be superior to finite difference methods.

It is learnt through experimentation that the integral operators of fractional order take care of some of the hereditary properties of many phenomena and processes.

Through-the-thickness integrals are evaluated exactly, and those over an element in the midplane of the plate are evaluated by using the 2×2 Gauss quadrature rule.

Through the action of the integral controller, the steady state is reached when the error signal is zero, i.e., P A  = 0.