hypersurface


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hypersurface

(ˈhaɪpəˌsɜːfɪs)
n
(Mathematics) maths a type of submanifold
References in periodicals archive ?
Their topics include landscape archaeology and artificial intelligence: the neural hypersurface of the Mesopotamian urban revolution, a quantitative method for creating typologies for qualitatively described objects, network analysis for reproducible research on large administrative cuneiform corpora, semantic domains in Akkadian texts, and publishing Sumerian literature on the semantic web.
Yuto Yamamoto [Yam] has some ongoing interesting work which seems to be related to our works, where he constructs a sphere with an integral affine structure from the tropicalization of an anticanonical hypersurface in a toric Fano 3-fold, and computes its radiance obstruction.
It should be noted that both the Lagrangian densities in (1) respect both (i.e., BRST and anti-BRST) symmetries on the constrained hypersurface, where the CF condition (B + [bar.B] + (C x [bar.C]) = 0) is satisfied.
Null expansions measure the strength of the gravitational field around a hypersurface S [subset] M and are given by
In order to associate each individual in St with the reference points after normalization, a reference line is defined for each reference point on the hypersurface. In the normalized objective space, the reference point with the shortest distance is considered to be related to population members.
We claim that [M.sub.n]([theta]) is a hypersurface of the torus [T.sup.n-2].
Another important ETT approach is the random hypersurface models (RHMs) [7-9], which assumes that the measurements are randomly selected from a hypersurface defined by a shape function.
An SVM constructs a separating hypersurface between two categories of data, which can be used for classification, separation and detection of two classes.
5: This illustration tries to show schematically a hypersurface at time T with our Observable Universe surrounded by other similar Observable Universes, arbitrarily positioned, some of them overlapping.
JC method has many advantages: it can take the distribution of variables in limit state equations [g.sub.1] and [g.sub.2] into account, and, what is more, the points obtained by linear method based on Taylor expansion locate in the failure hypersurface. The calculation accuracy of this method can meet the practical engineering needs.
Let M [subset] [C.sup.n+1] be a connected real analytic hypersurface with 1.