Hypersurface

For differential geometry usage, see glossary of differential geometry and topology.

In geometry, a hypersurface is a generalization of the concept of hyperplane. Suppose an enveloping manifold M has n dimensions; then any submanifold of M of n − 1 dimensions is a hypersurface. Equivalently, the codimension of a hypersurface is one. For example, the n-sphere in R is called a hypersphere. Hypersurfaces occur frequently in multivariable calculus as level sets.

单词	Hyper surface
释义	Hyper surface 英语百科 Hypersurface For differential geometry usage, see glossary of differential geometry and topology. In geometry, a hypersurface is a generalization of the concept of hyperplane. Suppose an enveloping manifold M has n dimensions; then any submanifold of M of n − 1 dimensions is a hypersurface. Equivalently, the codimension of a hypersurface is one. For example, the n-sphere in R is called a hypersphere. Hypersurfaces occur frequently in multivariable calculus as level sets.
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Hyper surface

Hypersurface