Sentence examples for volume of a ball from inspiring English sources

where is the volume of a ball of radius.

It follows immediately from the previous lemma that the corresponding volume of a ball B x, r) is begin{aligned} |B x,r)|=Cr^4.

Recall that the volume of a ball, that is, the number of its elements does not depend on the center, and is equal to in dimension.

For example the density of a ball of mass M and radius r can be obtained by substituting the above formula for the volume of a ball for V in the above formula for the density of a solid.

For example the area of a rectangle L inches long by W inches wide is given by the formula LW in units of square inches, the volume of a ball of radius r is 4πr3/3, and the density of a solid of mass M and volume V is given by M/V.

Further, Mo et al. [ 13] developed a MC code to simulate the sampling volume of a ball-lens fiber probe depending on diameter and refractive index of the ball lens and probe-tissue distance.

The volume of such a ball lightning is about 4 l, and the mass of the carbon fuel is 4 g at least.

Depending on the species, a sponge with the volume of a tennis ball could take 30 minutes or more to dissect.

where is the volume of a unit ball of, and is a domain of an -dimensional submanifold.

As a corollary one has that the volume of a Carnot Caratheodory ball centered in x can be estimated by the measure of the corresponding cube and the Jacobian determinant of (Phi _{epsilon,v,x}).

Wetlaufer measured the compactness of a protein (or a protein part) by the use of its surface to volume ratio, normalized by the surface to volume ratio for a ball of equal volume.