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Vector-valued weak martingale Hardy spaces and atomic decompositions
Acta Mathematica Hungarica, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hou, Y.-L., Ren, Y.-B.
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Vector Space Decomposition for Solving Large-Scale Linear Programs
Operations Research, 2018We develop an algorithmic framework for linear programming guided by dual optimality considerations. The solution process moves from one feasible solution to the next according to an exchange mechanism that is defined by a direction and a resulting step size.
Jean Bertrand Gauthier +2 more
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Vector space decomposition algorithm for asymmetrical multiphase machines
2017 International Symposium on Power Electronics (Ee), 2017Benefits of modelling a multiphase machine by use of a Vector Space Decomposition (VSD) are decoupled machine model and unique mapping of all odd-order harmonics within the resulting subspaces. This is achieved by multiplying machine phase variables with VSD matrix.
Ivan Zoric, Martin Jones, Emil Levi
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The decomposition of finite-dimensional near-vector spaces
Communications in Algebra, 2017In this paper, we study the decomposition of certain classes of finite-dimensional near-vector spaces, constructed using a result of van der Walt.
S. Dorfling, K.-T. Howell, S. P. Sanon
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Nonlinear system decomposition in differential vector space 1
IFAC Proceedings Volumes, 1999Abstract This paper studies controllability and observability of nonlinear systems in differential vector space. It generalizes the coordinate invariant state space decomposition of linear systems to nonlinear systems. As a result, the dual-state space of nonlinear systems can be decomposed into controllable-observable, controllable-unobservable ...
Yanfan Zheng +2 more
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Orthogonal Decomposition of a Vector Space
1992Let П be a plane through the origin in ℝ3, and let L be the line through the origin that is orthogonal to П. Then every vector X in ℝ3 can be expressed in the form $$ X\;{\rm{ = }}\;U\;{\rm{ + }}\;V, $$ (11) where U ∈ П and V ∈ L.
Thomas Banchoff, John Wermer
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Morphological decomposition of restricted domains: a vector space solution
Proceedings 1992 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2003Restricted domains, which are a restricted class of 2-D shapes, are defined. It is proved that any restricted domain can be decomposed as n-fold dilations of thirteen basis structuring elements and hence can be represented in a thirteen-dimensional space.
T. Kanungo, R.M. Haralick
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Vector-space solution for a morphological shape-decomposition problem
Journal of Mathematical Imaging and Vision, 1992We define a restricted domain as the discrete set of points representing any convex, four-connected, filled polygon whose (i) vertices lie on the lattice points, (ii) interior angles are multiples of 45°, and (iii) number of sides are at most eight.
Tapas Kanungo, Robert M. Haralick
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Vector space decomposition for double star induction machine modeling
2014 15th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering (STA), 2014The aim of this paper is to present the model of double star induction machine using the concept of vector space decomposition, while taking into account the mutual leakage between two stars. This powerful concept allows to analyze the impact of circulating harmonic currents on the double star induction machine performance when supplied by voltage ...
Hajer Kouki +2 more
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Orthogonal decompositions of certain finite-dimensional vector spaces
Journal of Mathematical Physics, 1984The vector space of real functions, defined on the set of all mappings of a finite set P into another finite set L, splits into a sum of orthogonal subspaces, one for each subset of P. The orthogonal projections onto these subspaces merely involve averaging operations. Certain linear functional identities are equivalents of k-representability, i.e., of
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