منابع مشابه
Counting racks of order n
A rack on [n] can be thought of as a set of maps (fx)x∈[n], where each fx is a permutation of [n] such that f(x)fy = f −1 y fxfy for all x and y. In 2013, Blackburn showed that the number of isomorphism classes of racks on [n] is at least 2(1/4−o(1))n 2 and at most 2(c+o(1))n 2 , where c ≈ 1.557; in this paper we improve the upper bound to 2(1/4+o(1))n 2 , matching the lower bound. The proof in...
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W H A T ' S B A L A N G O T T H A T O T H E R S LACK? The unique qual i ty of being w a t e r p r o o f . M a n y he rb ic ides a r e highly water-soluble. Bu t not Balan. It clings to soil particles in the weedgerminat ing area. Resists the leaching effect of heavy rains and rep e a t e d i rr igat ions. S t a y s p u t for months , before breaking down gradually and natural ly to avoid harmfu...
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A rack is a set equipped with a bijective, self-right-distributive binary operation, and a quandle is a rack which satisfies an idempotency condition. In this paper, we introduce a new definition of modules over a rack or quandle, and show that this definition includes the one studied by Etingof and Graña [9] and the more general one given by Andruskiewitsch and Graña [1]. We further show that ...
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My research focuses on the intersection of computer systems, algorithmic game theory, and economic mechanism design. My interdisciplinary work has introduced computer architects to a rich body of knowledge in economics and game theory. My dissertation marks the beginning of a paradigm shift in computer architecture toward more robust, game-theoretic analysis of shared systems. As a result, my w...
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The main goal of this paper is to investigate the periodic character, invariant intervals, oscillation and global stability and other new results of all positive solutions of the equation$$x_{n+1}=frac{alpha+beta x_{n}}{A + Bx_{n}+ Cx_{n-k}},~~ n=0,1,2,ldots,$$where the parameters $alpha$, $beta$, $A$, $B$ and $C$ are positive, and the initial conditions $x_{-k},x_{-k+1},ldots,x_{-1},x_{0}$ are...
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2017
ISSN: 1077-8926
DOI: 10.37236/6330