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hypersphere's Usage Examples:

Just as in the simpler example above, each rotation represented as a point on the hypersphere is.

The zero-dimensional hypersphere is a pair of points.

is referred to as an oversphere, and a 4-sphere is referred to as a hypersphere.

dimensions (where the problem becomes circle packing in two dimensions, or hypersphere packing in higher dimensions) or to non-Euclidean spaces such as hyperbolic.

Public hypersphere is a new kind of public sphere that has come into existence globally through the use of modern information technology, digital media.

( n − 1 ) {\displaystyle (n-1)} -dimensional hypersphere all lie on the same "half" of the hypersphere.

moving to better positions in the search-space, which are sampled from a hypersphere surrounding the current position.

Simple examples in a real projective space are hyperspheres (quadrics).

hypersphere, mesosphere, pseudosphere, sphere, spherics, spheroid, spherometer, spherulite, stratosphere, trimetasphere sphing-, sphinct- strangle Greek.

hypersphere, mesosphere, pseudosphere, sphere, spherics, spheroid, spherometer, spherulite, stratosphere, trimetasphere sphing-, sphinct- strangle Greek σφίγγειν.

the hyperspheres that share a tangent hyperplane at a given point, as their radii go towards infinity.

This hypersurface is also a smooth manifold, and is called a hypersphere or an (n – 1)-sphere.

The hypersphere in 1 dimension is a pair of points, sometimes called a 0-sphere as its.