Sentence examples for explicit and integral from inspiring English sources

The IBD relations between the chromosomes are an explicit and integral part of the model and it might be possible to use those in disease gene mapping in isolate populations [George et al., 2000; Purcell et al., 2007].

Both the induced displacements and stresses are expressed uniformly in terms of simple and explicit line integrals along the dislocation loop.

We give a detailed treatment of the case of the maximal parabolic subgroups Q of L corresponding to Grassmannians and the product variety of G/PS and L/Q; in particular we classify the L-orbits here, and find natural explicit integral transforms between degenerate principal series of L and G.

The integral inequalities which provide explicit bounds on unknown functions play an important role in the development of the theory of differential and integral equations.

Integral inequalities which provide explicit bounds of the unknown functions play a fundamental role in the development of the theory of differential and integral equations.

Integral inequality that provides an explicit bound to the unknown function furnishes a handy tool to investigate qualitative properties of solutions of differential and integral equations.

Open image in new window Fig. 7 Evolution of pre-stressing losses in time: comparison of the adopted explicit integral formulation and the simplified formulation of EC2.

Prerequisites: differential and integral calculus.

Under proper assumptions on these domains, we manage to give an explicit Poisson integral formula to obtain a series of solutions subject to the boundary data.

end{aligned} (5.37) where (mathcal {N}^{mathsf {W}}_{x,mathsf {corr}(r)}) is the r-term stationary phase approximation to some explicit oscillatory integral (see Section 16.2 of [14]).

It is well known that the latter plays a crucial role in the construction of explicit bounds to probability measures and integrals given a fixed number of moments.