Sentence examples for multiple integrals required from inspiring English sources

In order to reduce the computational effort due to the calculation of a large number of multiple integrals, required by the used approach, a recent model of the wind stochastic field is adopted.

The integrals required in (2) are tractable.

The application of the Bayesian approach with MCMC sampling to IRT models is mainly motivated by the fact that IRT models with complex dependency structures require the evaluation of multiple integrals to solve the estimation equations in a likelihood-based framework.

More complex evidence can easily lead to multiple integrals that, until recently, could not be readily evaluated.

Compared with some previous analytical solutions, which still require a numerical inversion of Laplace transform, our solutions, written in terms of double integral for the case of Parisian options but multiple integrals for the case of Parasian options, are both of explicit form; numerical evaluation of these integrals is straightforward.

Then we extend the Gronwall-type inequalities to multiple integrals.

If u ∈ C(R+ × R+, R+) satisfies the following integral inequality containing multiple integrals (34).

When multiple conditions are required, multiple independent experiments are run.

Are multiple mutations required?

To obtain (10) we need to transform the multiple integral (r_{1k}) into repeated integral which contains the following steps: Step 1: determine the integral area.

The filter bank comprises of multiple integral order RHT filters.