Yamamoto, Periods of tropical K3 hypersurfaces
It is clear that both the Lagrangian densities respect both (i.e., co-BRST and anti-co-BRST) fermionic symmetry transformations on a hypersurface
, where the CF-type restrictions B x C = 0 and B x [bar.C] = 0 are satisfied.
The generalized Jang equation is motivated by the need for they hypersurface
[summation] to have weakly nonnegative scalar curvature.
Owing to the reason that NSGA-III-WA needs to build a hypersurface
, M extreme points cannot be found in the later stage of the algorithm to construct the hypersurface
, and it cannot converge to a curve well.
Kamiyama, "A hypersurface
of the configuration space of a spatial robot arm," JP Journal of Geometry and Topology, vol.
Hanebeck, "Random hypersurface
models for extended object tracking," in Proc.
It is known (see  and the references therein) that a connected real analytic hypersurface
of [C.sup.n+1] which is Levi nondegenerate at every point is (k, n - k)-pseudospherical at one point if and only if it is (k, n - k)-pseudospherical at every point.
Let p be a point in [bar.M] and ((M, g): [x.sup.1] = a constant) be a timelike hypersurface
of [bar.M] passing through p.
 Nemethi,A.: Some topological invariants of isolated hypersurface
singularities, EMS summer schoolEger (Hungary), 29 July-9 August (1996).
Let M = X(u) be a Lorentzian surface in anti-de Sitter space and let N(u) be its spacelike normal vector; a hypersurface
L[H.sup.[+ or -].sub.M] defined by L[H.sup.[+ or - ].sub.M](u, [mu]) = X(u) + g(X[??](u)) is called L[H.sup.[+ or -].sub.M] the lightlike hypersurface
According to this approach learning is based on a quadratic programming optimization procedure which aims at the identification of a subset of important feature vectors from the training set, used for the construction of a separating hypersurface
between the two classes.