Sentence examples for integration to evaluate from inspiring English sources
The key features of the discretization are (a) use of midpoint integration to evaluate the contribution matrices, and (b) an unconventional mapping of the mesh into complex space.
To circumvent this difficulty, within linear mixed-effects model setting, Hughes (1999) used Monte Carlo integration to evaluate the E-step by repeatedly sampling from the conditional distribution of below detection data.
Under H1, H2 and H3, we use one-, one-, and two-dimensional Monte Carlo integration to evaluate the marginal likelihood, respectively.
Under M2, the marginal likelihood p (x ∣ M2) does not have a closed form, so we use a two-dimensional Monte Carlo integration to evaluate the marginal likelihood.
The effectiveness of the boundary element method is clearly dependent on the implementation of efficient and accurate integration procedures to evaluate boundary integrals of the singular kernels.
Although the integrals in (44) and (46) cannot be evaluated analytically, there are various numerical integration techniques to evaluate these numerically [31].
In the next stage, the interpolated curves are implemented to complete the numerical integration required to evaluate Eq. (7) (Fig. 23).
U.S. Environmental Protection Agency developed a decision-support system, System for Urban Stormwater Treatment and Analysis Integration (SUSTAIN), to evaluate alternative plans for stormwater quality management and flow abatement techniques in urban and developing areas.
The integration required to evaluate the normalization constant generates a unit of 1/min for the 2 in the above inequality.
The marginal logistic regression model was fitted with Stata's xtgee command and multilevel models were fitted using adaptive quadrature with 12 integration points to evaluate and maximize the marginal log likelihood by Stata's xtlogit command.
For an example see Fig. 3, where also the quad structures are indicated which contain specifics on the integration routines needed to evaluate the loop integrals in the graphs.
