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GEOMETRIC APPROACH TO SUPERSYMMETRY
International Journal of Modern Physics B, 1992We argue that a generic supersymmetric theory can be characterized entirely in terms of loop space symplectic geometry, either in a loop space parametrized by the bosonic variables or in a superloop space parametrized by half of the bosonic and fermionic variables. A Poincare supersymmetric theory is a realization of our construction in terms of space-
Morozov, A. Yu. +2 more
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, 2014
We consider the problem on the existence of the limit of a trajectory of a subspace \(V\) and the construction of this limit in an explicit form. In the algebraic approach to this problem, one performs formal calculations with the associated \(d\)-vector \(\widetilde{v}\), the behavior of the trajectory of this vector depends on the relation between ...
C. Dolicanin, A. Antonevich
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We consider the problem on the existence of the limit of a trajectory of a subspace \(V\) and the construction of this limit in an explicit form. In the algebraic approach to this problem, one performs formal calculations with the associated \(d\)-vector \(\widetilde{v}\), the behavior of the trajectory of this vector depends on the relation between ...
C. Dolicanin, A. Antonevich
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A geometric approach to rank metric codes and a classification of constant weight codes
Des. Codes Cryptogr., 2019In this work we develop a geometric approach to the study of rank metric codes. Using this method, we introduce a simpler definition for generalized rank weight of linear codes.
T. Randrianarisoa
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An Improved Geometric Approach for Palette‐based Image Decomposition and Recoloring
Computer graphics forum (Print), 2019Palette‐based image decomposition has attracted increasing attention in recent years. A specific class of approaches have been proposed basing on the RGB‐space geometry, which manage to construct convex hulls whose vertices act as palette colors. However,
Yili Wang, Yifan Liu, Kun Xu
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IEEE Transactions on Smart Grid, 2018
Electricity is the lifeline of civilization. To reduce carbon impacts associated with electricity generation and delivery, the smart grid can improve the efficiency and reliability of power grids by integrating power systems with modern information and ...
Wen-Long Chin, Chun-hung Lee, Tao Jiang
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Electricity is the lifeline of civilization. To reduce carbon impacts associated with electricity generation and delivery, the smart grid can improve the efficiency and reliability of power grids by integrating power systems with modern information and ...
Wen-Long Chin, Chun-hung Lee, Tao Jiang
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A geometric approach to complexity
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2011We develop a geometric approach to complexity based on the principle that complexity requires interactions at different scales of description. Complex systems are more than the sum of their parts of any size and not just more than the sum of their elements.
Ay, Nihat +3 more
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Blossoming: A Geometrical Approach
Constructive Approximation, 1999A well-known elegant geometric approach to Bézier and B-spline curves is based on the so-called blossoming principle: associating with a polynomial curve or piecewise polynomial curve an appropriate normal curve in a higher-dimensional space, control points and auxiliary points occurring in important algorithms are obtained as blossoms, which are ...
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A Geometric Approach to Betweenness
SIAM Journal on Discrete Mathematics, 1995Summary: An input to the betweenness problem contains m constraints over n real variables (points). Each constraint consists of three points, where one of the points is specified to lie inside the interval defined by the other two. The order of the other two points (i.e., which one is the largest and which one is the smallest) is not specified.
Chor, Benny, Sudan, Madhu
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Geometric Approach to Laminar Convection
Journal of Thermophysics and Heat Transfer, 2005The analytical approach to the solution of a steady-state convection problem for Hagen-Poiseuille flow in tubes of arbitrary cross section was analyzed. The problem was studied in the view of isoperimetric inequalities, that is of inequalities holding for domain functionals, provided that equality is attained.
CAFARO, EMILIO, BERTOLA V.
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Geometric-Qualitative Approach
2011In this chapter, following a geometric-qualitative approach to partial differential equations, we will consider important methods and concepts concerning quasilinear and nonlinear PDEs (in two independent variables) and solutions of classical and generalized Cauchy problems (with continuous and discontinuous initial data), namely, the Lagrange method ...
Inna Shingareva +1 more
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