# hypersurface

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## hypersurface

(mathematics)
The analog of a surface in n-dimensional Euclidean space, where n is a positive integer; the set of points, (x1, x2, …, xn ), satisfying an equation of the form ƒ(x1, …, xn ) = 0.
References in periodicals archive ?
Hanebeck, "Random hypersurface models for extended object tracking," in Proc.
0] = a constant) be a connected spacelike hypersurface in M and hence a codimension two-spacelike submanifold of [bar.
1995) a hypersurface is defined in the space of tensions or deformations, to be utilized as criterion for the identification of constitutive responses of compression or tension.
v] is the element of an infinite hypersurface surrounding the 4-volume.
Traditional SMVs constructed a hyperplane to classify data, so they cannot deal with classification problem of which the different types of data located at different sides of a hypersurface, the kernel strategy is applied to SVMs [37].
Hypersurface theory: architecture culture, Architectural Design 5/6: 7-8.
Nakazato, Joint numerical range and its generating hypersurface, Linear Algebra Appl.
Insofar as there is a wave function at all, whose square gives a probability density for the location of a single particle (and this must, in a relativistic context, be regarded merely as an approximation), it is a foliation-relative object: not a function mapping spacetime points onto numbers but a functional taking both a spacelike hypersurface and a point on that hypersurface as arguments (.
2) Perella acuna el concepto hypersurface que remite a la doble cara fisica y virtual de los espacios arquitectonicos.
2]) for the element of 3-area of the hypersurface enclosing the 4-volume.
The optimal separating hypersurface realizes the maximal-minimum margin, hence the classification problem is formulated as a quadratic program.

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