Sentence examples for points on the sphere from inspiring English sources

The von Mises circular distribution (see Bingham et al. 2009) has been used for both r and p. In each figure a 3×3 rotation matrix is displayed as three points on the sphere, one representing each of the three perpendicular axes that correspond to the three columns in the matrix.

Here the 3-D rotations are plotted as points on the sphere, with one observation represented by three points that would correspond to three orthogonal axes.

Mathematically, it is said that the points on the sphere are mapped onto the plane; if a one-to-one correspondence of points exists, then the map is called conformal.

The theorem is one of dynamics because such an arrangement of "hairs" is a description of the way the states of a system, represented by points on the sphere, change with time, or flow along the directions of the hairs.

A computer-based procedure enabled us to arrange points on the sphere at approximately constant intervals.

The normal-space sampling algorithm tries to uniformly spread the normals of the selected points on the sphere of directions.

One-millimetre holes at the connection points on the spheres allow the inserts to be emptied or filled with a 4-in.

Each point on the sphere corresponds to one of the two-dimensional tori, except for twenty-four "bad" points corresponding to "pinched" or singular tori.

Some theory requires selecting a fixed point on the sphere, calling the pair (sphere, point) a pointed sphere.

Let be a point on the sphere, that is,, where.

Rays are casted toward the center of the global from each latitude longitude grid point on the sphere surface.