Sentence examples for for computing volumes from inspiring English sources

(A variation on such an iterative method is frequently employed by computers today.) Book II gives methods for computing volumes of various solids, including the five regular Platonic solids.

They are available, together with the software for computing volumes at [ 19].

Our method combines fast algorithms for computing volume integrals and evaluating layer potentials on a grid with a fast multipole accelerated integral equation solver.

We introduce a fast algorithm for computing volume potentials – that is, the convolution of a translation invariant, free-space Green's function with a compactly supported source distribution defined on a uniform grid.

In the method, a multi-dimensional advection algorithm, which includes 11 different cases for computing volume fluxes across cell faces, is proposed for the evolution of the volume fraction.

Streamlines have been very effectively used for computing swept volumes and drainage volumes in oil reservoirs.

The new formulas, which in some cases are optimal, i.e., minimal-point, are the most efficient means available for numerically computing volume integrals over triangular prism elements in that they require fewer points than any other presently available formulas of the same polynomial degree.

His commentary on the algorithms for computing the volumes of bodies exemplifies the kind of mathematical work that he carried out throughout the book for the sake of exegesis.

We used this approach for computing the volumes of consistency cones [ 18] which we discuss briefly in the Discussion section.

For two reconstruction nodes a and b (or SCs, equivalently), we say a is significantly covered by b if they satisfy the following condition: (3) where Ω is an operator for computing the volume (or mass, see below) of the occupied region of an SC of this reconstruction node.

In this work, new composite mixing rules for computing co-volumes of asymmetric mixtures are developed and evaluated.