Examples of 'unit sphere' in a sentence
Meaning of "unit sphere"
unit sphere: In mathematics, a unit sphere refers to the set of all points that are at a fixed distance of 1 from a central point, often represented in three-dimensional space as a sphere with a radius of 1
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- A sphere with a radius of 1 unit.
How to use "unit sphere" in a sentence
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unit sphere
A unit sphere is simply a sphere of radius one.
Is the round metric on the unit sphere.
The unit sphere itself is not too hard to visualize.
On the surface of the unit sphere.
The equator of the unit sphere is a parametrized curve given by.
But this is the condition of being orthogonal to the unit sphere.
The hemisphere on the unit sphere creates a dome over the listener.
Suppose that a random variable has a uniform distribution on a unit sphere.
Rotating around any axis a unit sphere at the origin will map the sphere onto itself.
The area element may be used to calculate the area of the unit sphere.
Thus the unit sphere is diffeomorphic to the Riemann sphere.
Uniform on the unit sphere.
The unit sphere is the unique closed orientable surface with constant curvature +1.
The data generated were analyzed by nearest neighbor analysis utilizing unit sphere projection.
Unit circle Unit sphere Unit cube.
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The unit sphere in an infinite-dimensional Hilbert space is contractible.
Begin by calculating a volume on a unit sphere and then multiply the result by r3.
The unit circle is often denoted S1 ; the generalization to higher dimensions is the unit sphere.
Unit disk graph Unit sphere Bieberbach conjecture.
The area of a spherical triangle on the unit sphere is α + β + γ - π.
This unit sphere is commonly referred to as a " Gaussian Sphere . ".
In this construction consider the unit sphere centered at the origin in R3.
The extended rendering technique uses three methods to move objects off the unit sphere 2300.
Now, our sphere, our sphere, our unit sphere might look something like this.
Therefore one speaks of " the " unit ball or " the " unit sphere.
The unit sphere in E3 has constant Gaussian curvature +1.
The square integrable functions on the unit sphere S2 is a Hilbert space.
Audio sources can be located anywhere on or within this unit sphere 2300.
Given a norm | · | for V, we define the unit sphere of V as the set.
Do carmo, which classify constant mean curvature hypersurfaces in the unit sphere of dimension n+1.
For instance, the group of isometries of the two-dimensional unit sphere is the orthogonal group O3.
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Another important sphere is that of combined transport
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You could make a sphere in this studio