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 ?
A first less sharp limit exists for the singular metric as necessary condition for the metric to be static: a metric is said to be static if it is stationary and, in addition, exists a spacelike hypersurface [SIGMA] (orthogonal to the timelike Killing vector field [[xi].
x]/[GAMMA] = {v [member of] V/[GAMMA]: v(x) = 0} is a (possibly disconnected) hypersurface in the torus V/[GAMMA] [congruent to] [(R/Z).
To this end, a widely laid-out research project will be completed: Kyoji Saito s theory of logarithmic forms will be embedded into the theory of regular differential forms of Kersken and Kunz/Waldi and generalized beyond the hypersurface case, including the concept of free divisors crucial in singularity theory.
v] is the element of an infinite hypersurface surrounding the 4-volume.
Hypersurface theory: architecture culture, Architectural Design 5/6: 7-8.
Nakazato, Joint numerical range and its generating hypersurface, Linear Algebra Appl.
2) Perella acuna el concepto hypersurface que remite a la doble cara fisica y virtual de los espacios arquitectonicos.
Since these parameters are determined based on the correlation between values of the strain energy density cast from the test and theory, it is concluded that the hypersurface of the strain energy density function of the theory tends to that of the test data (the real hypersurface of the strain energy density of the material).
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.
Indeed, as is known, a curve determined by the equations x = x(w), z = z(w), y = y(w), t = t (w) is tangent to the hypersurface N(x, z, y, t) = 0 at the point (x([?
However, if one is able to account for the experimental variations and uncertainties, one could use the hypersurface y([[right arrow].