Sentence examples for integral in order to from inspiring English sources

(Q(mathbf{e})) is the probability density function for e. Intuitively, the two innermost integrals produce the expected phase after the nth input with ψ being the starting phase; this expected phase, represented by the integration variable ϕ is taken in the outermost integral in order to calculate the probability that during the interspike interval the phase transitions from ϕ to θ.

The most intense signals were integrated, and the variances were calculated for each integral, in order to elucidate the inter-individual variation for the cloned and control pigs.

Our results demonstrate that integrated data analysis combining amplification, expression, and methylation status is integral in order to draw conclusions about functional consequences of gene amplifications or deletions detected by aCGH microarrays.

The main consideration of the present work is the construction of a new approximation of a singular integral in order to use it for a numerical solution of singular integral equations.

Another viewpoint of Eq. (23) is to apply the rectangle method (using the left boundary point of the integral) in order to approximate the convolution-based formula Eq. (8) in the form begin{aligned} Q(t+Delta t)=&vartheta(Delta t)Q t)+kappa(Delta t P t) &+ int _{t}^{t+Delta t} kappa(t+Delta t-s) Gbigl s,Q(s) bigr),ds & + int_{t}^{t+Delta t} kappa(t+Delta t-s) varSigma(s),dW(s).

Future studies identifying ATL9's targets and its possible interacting partners will be integral in order to better assess its role in innate immunity and defense against fungal pathogens.

An incomplete LU factorization preconditioned Generalized Minimal Residual method (GMRES) is employed to solve the resulting boundary integral equation in order to improve efficiency.

This so-called intersecting canonical body approximation (ICBA) is employed in the boundary integral representation in order to determine field functions at arbitrary points on or outside the scattering body.

Random geometrical parameters are introduced to the integral representations in order to model the increasing sensitivity of the harmonic vibrational responses to any parameter perturbation when the frequency increases.

The resulting expansions can be used to appropriately choose the ansatz in the design of high-frequency numerical solvers, such as those based on integral equations, in order to produce more accurate approximation of the solutions around the shadow and the deep shadow regions than the ones based on the usual ansatz.

The IBVP are reduced to equivalent systems of integral equations in order to get the existence of a solution.