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Comparing new notions of tangent cones
, 1989
"... New notions of tangent cones which have recently been introduced are compared. These notions are variants of Clarke's strict tangent cone and give rise to corresponding generalized derivatives. They are closed, convex and larger than the Clarke strict tangent cone, and these are desirable featu ..."
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New notions of tangent cones which have recently been introduced are compared. These notions are variants of Clarke's strict tangent cone and give rise to corresponding generalized derivatives. They are closed, convex and larger than the Clarke strict tangent cone, and these are desirable
Relative Tangent Cone of Analytic Curves
, 1998
"... this paper is to give a characterization of the relative tangent cone of two analytic curves in C ..."
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this paper is to give a characterization of the relative tangent cone of two analytic curves in C
An Infinite Class of Convex Tangent Cones
, 1997
"... Since the early 1970's there have been many papers devoted to tangent cones and their applications to optimization. Much of the debate over which tangent cone is "best" has centered on the properties of Clarke's tangent cone and whether other cones have these properties. In this ..."
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Since the early 1970's there have been many papers devoted to tangent cones and their applications to optimization. Much of the debate over which tangent cone is "best" has centered on the properties of Clarke's tangent cone and whether other cones have these properties
Tangent cones to metric spaces
"... In this note we study the possibility of defining tangent vectors to a metric space at a given point and tangent maps to an application into another metric space. Such infinitesimal concepts may help analysis in such a general framework. Some examples are presented. Comparisons with other notions ar ..."
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In this note we study the possibility of defining tangent vectors to a metric space at a given point and tangent maps to an application into another metric space. Such infinitesimal concepts may help analysis in such a general framework. Some examples are presented. Comparisons with other notions
TANGENT CONES AND REGULARITY OF REAL HYPERSURFACES
"... Abstract. We characterize C 1 embedded hypersurfaces of R n as the only locally closed sets with continuously varying flat tangent cones whose measuretheoreticmultiplicity is at most m < 3/2. It follows then that any (topological) hypersurface which has flat tangent cones and is supported everyw ..."
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Abstract. We characterize C 1 embedded hypersurfaces of R n as the only locally closed sets with continuously varying flat tangent cones whose measuretheoreticmultiplicity is at most m < 3/2. It follows then that any (topological) hypersurface which has flat tangent cones and is supported
VOLUMES AND TANGENT CONES OF MATROID POLYTOPES
, 2011
"... De Loera et al. 2009, showed that when the rank is fixed the Ehrhart polynomial of a matroid polytope can be computed in polynomial time when the number of elements varies. A key to proving this is the fact that the number of simplicial cones in any triangulation of a tangent cone is bounded polyn ..."
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De Loera et al. 2009, showed that when the rank is fixed the Ehrhart polynomial of a matroid polytope can be computed in polynomial time when the number of elements varies. A key to proving this is the fact that the number of simplicial cones in any triangulation of a tangent cone is bounded
Noncommutative tangent cones and CalabiYau algebras
, 2007
"... ABSTRACT. We study the generalization of the idea of a local quiver of a representation of a formally smooth algebra, to broader classes of finitely generated algebras. In this new setting we can construct for every semisimple representation M a local model and a noncommutative tangent cone. The rep ..."
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ABSTRACT. We study the generalization of the idea of a local quiver of a representation of a formally smooth algebra, to broader classes of finitely generated algebras. In this new setting we can construct for every semisimple representation M a local model and a noncommutative tangent cone
Results 1  10
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303