Sentence examples for sphere can be defined from inspiring English sources

This 4D sphere can be defined as.

We recall that if (Esubset mathbb {S}^n) is a Borel set, the perimeter of E on the sphere can be defined similarly to the euclidean case by setting begin{aligned} mathbf {P}(E)= sup left{ int _E mathrm{div}_tau varphi, dx:, varphi in C^infty (mathbb {S}^n; R^{n+1}),varphii (x cdot x=0 quad text{ for } text{ all } quad xin mathbb {S}^n,, ||varphi ||_infty {le } 1 right}.

A yellow tennis ball looks spherical because it is (roughly) a sphere; and shapes can be defined without recourse to anything about our responses to them.

Because all perception of objects has a subjective aspect, the world can be defined as a sphere centered around each conscious perceiver: wherever we are located, "the universe is built around us, and we are central still" (Journal, 8/24/41).

These cyclides can be defined as the envelopes of all spheres that touch three given spheres; see  [24].

This study extends this discourse by incorporating the perspective of Weisz and Fischer-Kowalski [57, 58] that was concisely defined by Haberl as follows: "Social-ecological systems can be defined as comprising a 'natural' or 'biophysical' sphere of causation governed by natural laws, and a 'cultural' or 'symbolic' sphere of causation reproduced by symbolic communication.

Given a reference point i and a maximum radius R, the nearest neighbors Q of that point can be defined as those points which are contained in the sphere of radius R center at point i.

Similarly a group can be defined as any homologue of the group of rotations of the sphere, or of the nonsingular 2 × 2 real matrices under matrix multiplication (equivalently the group of automorphisms of the plane).

A line can be defined similarly.

Accelerations can be defined through kinematic measurements.

Clout can be defined in many ways.