Global ETD Search
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Showing 1 to 4 of 4 for “"Real Algebraic Geometry"”.
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Real Algebraic Geometry of the Sextic Curves
The major part of this thesis revolves around the real algebraic geometry of curves, especially curves of degree six. We use the topological and rigid isotopy classifications of plane sextics to explore the reality of several features associated to each class, such as the bitangents, inflection …
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Noncommutative rational functions and their finite-dimensional representations
… theory, control theory, free analysis, free real algebraic geometry and free probability. A noncommutative rational function is given by a formal rational expression involving freely noncommuting variables and arithmetic operations, which can be naturally evaluated at tuples of matrices of …
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Polynomial Optimization and the Moment Problem
… problem with polynomial data and its relation to real algebra and real algebraic geometry. In this direction, we consider two different variants of moment problem. The first variant is the global polynomial optimization problem, i.e., finding the minimum of a polynomial f in R[X1,...,Xn] on R^n. …
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Tensorial spacetime geometries carrying predictive, interpretable and quantizable matter dynamics
… manifolds to the status of a spacetime geometry. Any matter that does not mimick the structure of Maxwell theory, will force us to choose another geometry on which the matter dynamics of interest are predictive, interpretable and quantizable. These three physical conditions on matter …