this article presents an analytic approach to study admissibility conditions related to classical full wavelet systems over finite fields using tools from computational harmonic analysis and theoretical linear algebra. it is shown that for a large class of non-zero window signals (wavelets), the generated classical full wavelet systems constitute a frame whose canonical dual are classical full ...

we introduce the notions of t-dual rickart and strongly t-dual rickart modules. we provide several characterizations and investigate properties of each of these concepts. it is shown that every free (resp. finitely generated free) $r$-module is t-dual rickart if and only if $overline{z}^2(r)$ is a  direct summand of $r$ and end$(overline{z}^2(r))$ is a semisimple (resp. regular) ring. it is sho...

In order to enhance torque density of five-phase permanent magnetic synchronous motor with third harmonic injection for electric vehicles (EVs) applications, optimum seeking method for injection ratio of third harmonic was proposed adopting theoretical derivation and finite element analysis method, under the constraint of same amplitude for current and air-gap flux. By five-dimension space vect...

Given a hyperplane arrangement A in a real vector space V , we introduce a real algebraic prevariety Z(A), and exhibit the complement ofA in the complexification of V as the total space of an affine bundle over Z(A) with fibers modeled on the dual vector space V . 1 Statement Let V be a real vector space of dimension d, and let f1, . . . , fn be a collection of nonconstant affine linear functio...

For dual three-phase machines, vector space decomposition allows the control of fundamental and main harmonic components in αβ xy subspaces, respectively. However, modulation voltage references two subspaces using pulsewidth (SVPWM) is not independent but coupled. In that, cannot be modulated simultaneously beyond restraints, thereby distorting regulation causing harmonics or even system misbeh...

Support Vector Machine (SVM) theory was originally developed on the basis of a linearly separable binary classification problem, and other approaches have been later introduced for this problem. In this paper it is demonstrated that all these approaches admit the same dual problem formulation in the linearly separable case and that all the solutions are equivalent. For the non-linearly separabl...