Definition of Hypersurface

1. Noun. (mathematics) A (n)-dimensional surface in a space (often a Euclidean space) of dimension (n)+1 ¹



¹ Source: wiktionary.com

Definition of Hypersurface

1. [n -S]

Lexicographical Neighbors of Hypersurface

hypersthenia
hypersthenic
hypersthenuria
hyperstimulate
hyperstimulated
hyperstimulates
hyperstimulating
hyperstimulation
hyperstimulus
hyperstoichiometric
hyperstress
hyperstresses
hyperstructural
hyperstructure
hyperstructures
hypersurface (current term)
hypersurfaces
hypersusceptibilities
hypersusceptibility
hypersusceptible
hypersymmetrical
hypersymmetry
hypersystole
hypersystolic
hypertalented
hypertask
hypertasks
hypertax
hypertaxes
hypertechnical

Literary usage of Hypersurface

Below you will find example usage of this term as found in modern and/or classical literature:

1. Higher Geometry: An Introduction to Advanced Methods in Analytic Geometry by Frederick Shenstone Woods (1922)
"Similarly, any plane intersects the hypersurface (1) in a conic or lies entirely on it. ... If in equation (2) the point yi is taken on the hypersurface, ..."

2. Geometry of Four Dimensions by Henry Parker Manning (1914)
"Any directing-curve of a plano-cylindrical hypersurface of revolution is a directing-curve of a circular cylindrical surface* PROOF. ..."

3. Geometry of Riemannian Spaces by Elie Cartan (1983)
"This hypersurface is called the focal hypersurface of the point 0 and the first point where a ... Conversely, let us assume that there exists a hypersurface ..."

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