Sentence examples for computing the volume of from inspiring English sources

(A finer version of Cavalieri's principle was used by Zu Gengzhi in the 5th century to establish the correctness of the algorithm computing the volume of a sphere).

The tetramers compactness could be compared by computing the volume of the tetrahedron defined by the geometric centers of the four pyrazole rings.

Moreover, we make connections to the well-studied problem of computing the volume of convex bodies in high dimensions using random walks.

Currently, algorithms for computing the volume of hexahedral cells with "ruled" surfaces require a minimum of 122 FLOPS (floating point operations) per cell.

For computing the volume of fluid in an arbitrary polygonal or polyhedral fluid element, we also cite some of the most efficient formulas for polygon area and polyhedron volume computations.

The minimum time needed for a complete isotopic equilibrium between ingested water and the BWP has been investigated and discussed by several authors (Mendez et al. 1970; Schloerb et al. 1950; Schoeller et al. 1980; van Marken Lichtenbelt et al. 1994; Wong et al. 1988) because it is a key point to consider when computing the volume of the BWP by tracer techniques.

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.

Using the second method outlined in Section 4 we succeeded in computing the volumes of the consistency cones intersected with the first orthant of the sphere for n = 5 taxa.

The notion of volume is not available in generic metric spaces; thus, it is not possible to compute the volume of an intersection of balls.

For example, Figure 1 shows the relationship between orthogonality and determinant, and computes the volume of an geometric object spanned by vectors.