Sentence examples for integral on a from inspiring English sources

This code involves a three-dimensional inner product between two functions, one of which requires an integral, on a non-rectangular domain containing a sparse grid.

Consider the following integral on a finite interval and use in it the integration by parts formula (here and are arbitrary strictly positive numbers), (3.8).

For an integral on a closed curve, the initial point A xA, yA) coincides with the terminal one B xB, yB), i.e., A xA, yA) = B xB, yB).

The temporal rainfall-runoff relationship at the catchment scale is described by a convolution integral on a continuous time scale.

We show that the limit of integrals along slices of a high dimensional sphere is a Gaussian integral on a corresponding finite-codimension affine subspace in infinite dimensions.

This paper gives a rigorous interpretation of a Feynman path integral on a Riemannian manifold M with non-positive sectional curvature.

It is proved that the L CR) (L-integral on a large circle) is equal to a particular MWDI.

Local one-parameter groups generated by the Virasoro operators were constructed via Feynman path integrals on a coadjoint of the infinite-dimensional Heisenberg group in the previous paper [T. Hashimoto, 1996.J. Funct. Anal.137, 191 218].

This paper is the first paper that deals with variational problems of functionals defined in terms of Jackson q-integral on a finite domain and where the left-sided Caputo q-derivative appears in the integrand.

The novelty of the proposed method lies in performing line integrals on a circle.

AbstractWe present a simple, accurate method for computing singular or nearly singular integrals on a smooth, closed surface, such as layer potentials for harmonic functions evaluated at points on or near the surface.