Consuming energy sources and greenhouse gas emission are one of the most prominent problems latest century. Most consumed globally carbon dioxide emissions originate from electric motors used in industry. Therefore, researchers have recently focused on production highly efficient, eco-friendly, low-priced machines: Synchronous Reluctance Machines. In this study, design comprehensive Finite Elem...

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Let $$S\subset\mathbb R^n$$ be a nonempty set. Given $$d\in [0,n)$$ and cube $$\overline{Q}\subset\mathbb with side length $$l=l(\overline{Q}) \in (0,1]$$ , we show that if the $$d$$ -Hausdorff content $$\mathcal H^d_{\infty}(\overline{Q}\cap S)$$ of set $$\overline{Q}\cap S$$ satisfies inequality S)<\overline{\lambda}l^{d}$$ for some $$\overline{\lambda}\in (0,1)$$ then $$\overline{Q}\setminus...

We show that a necessary and sufficient condition for the existence of a Kp,q factorization of the symmetric complete bipartite multi-digraph )"K:n n is (i) m = n == 0 (mod p) for p = q and (ii) m = n == a (mod d(p' + q')p'q'/e) for p =f. q, where d = (p,q), p' = p/d, q' = q/d, e = ()..,p'q').

Starting from an operator given as a product of q-exponential functions in irreducible representations the positive discrete series q-deformed algebra suq(1, 1), we express associated matrix elements terms d-orthogonal polynomials. An algebraic setting allows to establish some properties : recurrence relation, generating function, lowering operator, explicit expression and d-orthogonality relat...

This paper presents a new adaptive torque estimation algorithm for an interior permanent magnet synchronous motor (IPMSM) with parameter variations and cross-coupling between dand q-axis dynamics. All cross-coupled, time-varying, or uncertain terms that are not part of the nominal flux equations are included in two equivalent mutual inductances, which are described using the equivalent dand q-a...

Let $D\geq 1$ and $q\geq 3$ be two integers. $H(D)=H(D,q)$ denote the $D$-dimensional Hamming graph over a $q$-element set. ${\mathcal T}(D)$ Terwilliger algebra of $H(D)$. $V(D)$ standard T}(D)$-module. $\omega$ complex scalar. We consider unital associative $\mathfrak K_\omega$ defined by generators relations. The are $A$ $B$. relations $A^2 B-2 ABA +B A^2 =B+\omega A$, $B^2A-2 BAB+AB^2=A+\om...

The desiccation-tolerant state in seeds is associated with high levels of certain sugars and maturation proteins. The aim of this work was to evaluate the contributions of these components to desiccation tolerance in soybean (Glycine max [L.] Merrill cv Chippewa 64). When axes of immature seeds (34 d after flowering) were excised and gradually dried (6 d), desiccation tolerance was induced. By ...