hypersurface

[US]/ˈhaɪpəˌsɜːfɪs/
[UK]/ˈhaɪpərˌsɜrfɪs/
Frequency: Very High

Translation

n.A high-dimensional generalization of a surface in geometry.
Word Forms

Phrases & Collocations

hypersurface theory

hypersurface embedding

hypersurface geometry

hypersurface analysis

hypersurface equation

hypersurface singularity

hypersurface intersection

hypersurface representation

hypersurface mapping

hypersurface topology

Example Sentences

the hypersurface in this study represents a complex geometric structure.

mathematicians often analyze the properties of a hypersurface.

in physics, a hypersurface can define the boundary of a region in space.

the concept of hypersurface is crucial in differential geometry.

researchers are exploring the applications of hypersurfaces in data analysis.

understanding the curvature of a hypersurface is essential for advanced studies.

hypersurfaces can be classified based on their topological properties.

in algebraic geometry, a hypersurface is defined by a single polynomial equation.

the intersection of two hypersurfaces can yield interesting geometric results.

hypersurfaces play a significant role in the theory of relativity.

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