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91.
Jajcay's studies(1993; 1994) on the automorphism groups of Cayley maps yielded a new product of groups, which he called, rotary product. Using this product, we define a hyperoperation ⊙ on the groupSym e(G), the stabilizer of the identityeG in the groupSym(G). We prove that (Sym e (G), ⊙) is a hypergroup and characterize the subhypergroups of this hypergroup. Finally, we show that the set of all subhypergroups ofSym e (G) constitute a lattice under ordinary join and meet and that the minimal elements of order two of this lattice is a subgroup ofAut (G).  相似文献   
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INTRODUCTIONWewillfirstrecallsomealgebraicdefinitionsthatwillbeusedinthepaper.AhyperstructureisasetHtogetherwithafunction·∶H×H→P  相似文献   
94.
This study probed the conceptualization of authenticity in teaching and its link to teachers’ emotional life through critical emotional praxis because emotions are integral to discovering who we really are (McCarthy, E. D. 2009. “Emotional Performances as Dramas of Authenticity.” In Authenticity in Culture, Self, and Society, edited by P. Vannini, and J. P. Williams, 241–255. London: Ashgate). The participants were 20 Iranian university teachers. Data were collected using interviews, field notes, and observation and were analyzed through the lens of hermeneutic phenomenology. The results revealed that authenticity in teaching consisted of themes of being one’s own self, horizon of significance, and contestation resulted from the sense of responsibility, authentic relations, and de-constructive thinking which confirmed the dialogical nature of authenticity. The emotions connected to authenticity in teaching were Transition-Anger, love, and caring indicating that authenticity in teaching was a practice toward socially just teaching.  相似文献   
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A class of matrices with 1, -1 and 0 entries, called the H-matrices, is introduced and properties of such matrices are investigated. It is shown that for an H-matrix K the matrix G = KDKT, where D is a diagonal matrix with nonnegative diagonal entries, has certain properties applicable to topological synthesis of networks. A technique for decomposing a particular symmetrical matrix G, called the Q-matrix, into KDKT, where K is an H-matrix and D is a diagonal matrix with positive diagonal entries, is also developed.  相似文献   
97.
The scalar versions of Schwarz's Lemma have been extensively employed in the classical development of the synthesis of lumped RLC driving-point impedance function. A vector space generalization of Schwarz's Lemma, particularly suitable for application to linear passive n-port impedance functions, is derived in this paper. The concept of power dominant networks is introduced and a number of power inequalities derived.  相似文献   
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In this paper, a generalized trajectory tracking problem for a closed-loop control system is formulated in the optimal control context. A linear time varying plant is considered to track a closed-loop desired trajectory generated by a given mechanism. The theoretical results are obtained based on the Hamilton-Jacobi-Bellman theory in which some generalized semiquadratic value functions are employed as the Lagrangian. In addition, we employ a non-integer order integral of Riemann-Liouville type as the cost functional, so that the trajectory tracking process can be evaluated in an extended optimum manner wherein the fractionality plays the main role. By selecting a suitable fractional order of the integral, a satisfactory optimal control system can be deduced in which least concentration on selecting the weighting matrices is needed. To show the effectiveness of the results, some numerical examples illustrate the potentials.  相似文献   
100.
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