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Comparing new notions of tangent cones

by Alejandro Jofre, Jean-paul Penot , 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 ..."
Abstract - Cited by 2 (1 self) - Add to MetaCart
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

by Danuta Ciesielska , 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

by J. S. Treiman , 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

by Jean-paul Penot
"... 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

Specialization to the Tangent Cone and Whitney

by Arturo Giles Flores , 2013
"... ar ..."
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TANGENT CONES AND REGULARITY OF REAL HYPERSURFACES

by Mohammad Ghomi, Ralph Howard
"... Abstract. We characterize C 1 embedded hypersurfaces of R n as the only locally closed sets with continuously varying flat tangent cones whose measuretheoretic-multiplicity 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 measuretheoretic-multiplicity 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

by David C. Haws , 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 Calabi-Yau algebras

by Raf Bocklandt , 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

Tangent cones of numerical semigroup rings

by Teresa Cortadellas Benítez, Santiago Zarzuela Armengou , 2009
"... ..."
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ON UNIQUENESS OF TANGENT CONES FOR EINSTEIN MANIFOLDS

by Tobias Holck, William P. Minicozzi II , 2012
"... ..."
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