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59,695
COPLANAR kUNDULOIDS ARE NONDEGENERATE
, 2007
"... We consider constant mean curvature (CMC) surfaces in Euclidean space, and prove that each embedded surface with genus zero and finitely many coplanar ends is nondegenerate: it has no nontrivial squareintegrable solutions to the Jacobi equation, the linearization of the CMC condition. This implies ..."
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We consider constant mean curvature (CMC) surfaces in Euclidean space, and prove that each embedded surface with genus zero and finitely many coplanar ends is nondegenerate: it has no nontrivial squareintegrable solutions to the Jacobi equation, the linearization of the CMC condition. This implies
Coplanar kUnduloids Are Nondegenerate
, 2009
"... We prove each embedded, constant mean curvature (CMC) surface in Euclidean space with genus zero and finitely many coplanar ends is nondegenerate: there is no nontrivial squareintegrable solution to the Jacobi equation, the linearization of the CMC condition. This implies that the moduli space of s ..."
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We prove each embedded, constant mean curvature (CMC) surface in Euclidean space with genus zero and finitely many coplanar ends is nondegenerate: there is no nontrivial squareintegrable solution to the Jacobi equation, the linearization of the CMC condition. This implies that the moduli space
Asymmetric nondegenerate geometry
"... Nondegenerate geometry (Tgeometry) with nonsymmetric world function is considered. In application to the spacetime geometry the asymmetry of world function means that the past and the future are not equivalent geometrically. Tgeometry is described in terms of finite point subspaces and world func ..."
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Cited by 5 (1 self)
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Nondegenerate geometry (Tgeometry) with nonsymmetric world function is considered. In application to the spacetime geometry the asymmetry of world function means that the past and the future are not equivalent geometrically. Tgeometry is described in terms of finite point subspaces and world
NONDEGENERATE QUADRATIC LAMINATIONS
, 809
"... Abstract. We give a combinatorial criterion for a critical diameter to be compatible with a nondegenerate quadratic lamination. ..."
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Abstract. We give a combinatorial criterion for a critical diameter to be compatible with a nondegenerate quadratic lamination.
Nondegenerate Spheres in Three Dimensions
, 2010
"... Let P be a set of n points in R 3, and k ≤ n an integer. A sphere σ is krich with respect to P if σ ∩ P  ≥ k, and is ηnondegenerate, for a fixed fraction 0 < η < 1, if no circle γ ⊂ σ contains more than ησ ∩ P  points of P. We improve the previous bound given in [1] on the number of kr ..."
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Cited by 2 (1 self)
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Let P be a set of n points in R 3, and k ≤ n an integer. A sphere σ is krich with respect to P if σ ∩ P  ≥ k, and is ηnondegenerate, for a fixed fraction 0 < η < 1, if no circle γ ⊂ σ contains more than ησ ∩ P  points of P. We improve the previous bound given in [1] on the number of k
Measurements of Nondegenerate Discrete Observables
, 2000
"... Every measurement on a quantum system causes a state change from the system state just before the measurement to the system state just after the measurement conditional upon the outcome of measurement. This paper determines all the possible conditional state changes caused by measurements of nondege ..."
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of nondegenerate discrete observables. For this purpose, the following conditions are shown to be equivalent for measurements of nondegenerate discrete observables: (i) The joint probability distribution of the outcomes of successive measurements depends affinely on the initial state. (ii) The apparatus has
A general framework for motion segmentation: Independent, articulated, rigid, nonrigid, degenerate and nondegenerate
 In ECCV
, 2006
"... Abstract. We cast the problem of motion segmentation of feature trajectories as linear manifold finding problems and propose a general framework for motion segmentation under affine projections which utilizes two properties of trajectory data: geometric constraint and locality. The geometric constra ..."
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Cited by 138 (0 self)
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constraint states that the trajectories of the same motion lie in a low dimensional linear manifold and different motions result in different linear manifolds; locality, by which we mean in a transformed space a data and its neighbors tend to lie in the same linear manifold, provides a cue for efficient
On the Parallel Lines for Nondegenerate Conics
, 2006
"... Computation of parallel lines (envelopes) to parabolas, ellipses, and hyperbolas is of importance in structure engineering and theory of mechanisms. Homogeneous polynomials that implicitly define parallel lines for the given offset to a conic are found by computing Gröbner bases for an elimination i ..."
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Computation of parallel lines (envelopes) to parabolas, ellipses, and hyperbolas is of importance in structure engineering and theory of mechanisms. Homogeneous polynomials that implicitly define parallel lines for the given offset to a conic are found by computing Gröbner bases for an elimination ideal of a suitably defined affine variety. Singularity of the lines is discussed and their singular points are explicitly found as functions of the offset and the parameters of the conic. Critical values of the offset are linked to the maximum curvature of each conic. Application to a finite element analysis is shown.
No skew branes on nondegenerate hyperquadrics
"... Abstract. We show that nondegenerate hyperquadrics in R n+2 admit no skew branes. Stated more traditionally, a compact codimensionone immersed submanifold of a nondegenerate hyperquadric of euclidean space must have parallel tangent spaces at two distinct points. Similar results have been proven ..."
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Cited by 7 (2 self)
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Abstract. We show that nondegenerate hyperquadrics in R n+2 admit no skew branes. Stated more traditionally, a compact codimensionone immersed submanifold of a nondegenerate hyperquadric of euclidean space must have parallel tangent spaces at two distinct points. Similar results have been proven
Results 1  10
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59,695