Commuting Pairs in Quasigroups
ABSTRACT A quasigroup is a pair (Q,∗) $(Q,\ast )$, where Q $Q$ is a nonempty set and ∗ $\ast $ is a binary operation on Q $Q$ such that for every (a,b)∈Q2 $(a,b)\in {Q}^{2}$, there exists a unique (x,y)∈Q2 $(x,y)\in {Q}^{2}$ such that a∗x=b=y∗a $a\ast x=b=y\ast a$. Let (Q,∗) $(Q,\ast )$ be a quasigroup. A pair (x,y)∈Q2 $(x,y)\in {Q}^{2}$ is a commuting
Jack Allsop, Ian M. Wanless
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Pneumonia detection with QCSA network on chest X-ray. [PDF]
Singh S+4 more
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A Full-Body Relative Orbital Motion of Spacecraft Using Dual Tensor Algebra and Dual Quaternions [PDF]
Daniel Condurache
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Symmetric 2‐( 35 , 17 , 8 ) $(35,17,8)$ Designs With an Automorphism of Order 2
ABSTRACT The largest prime p $p$ that can be the order of an automorphism of a 2‐( 35 , 17 , 8 ) $(35,17,8)$ design is p = 17 $p=17$, and all 2‐( 35 , 17 , 8 ) $(35,17,8)$ designs with an automorphism of order 17 were classified by Tonchev. The symmetric 2‐( 35 , 17 , 8 ) $(35,17,8)$ designs with automorphisms of an odd prime order p < 17 $p\lt 17 ...
Sanja Rukavina, Vladimir D. Tonchev
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New exploration on bifurcation for fractional-order quaternion-valued neural networks involving leakage delays. [PDF]
Xu C+5 more
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Theta Series of Quaternion Algebras over Function Fields
Holly J. Rosson
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Addendum: "Chain equivalences for symplectic bases, quadratic forms and tensor products of quaternion algebras" [PDF]
Adam Chapman
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Levels of quaternion algebras [PDF]
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Weighted Turán Theorems With Applications to Ramsey‐Turán Type of Problems
ABSTRACT We study extensions of Turán Theorem in edge‐weighted settings. A particular case of interest is when constraints on the weight of an edge come from the order of the largest clique containing it. These problems are motivated by Ramsey‐Turán type problems.
József Balogh+2 more
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Principal Component Analysis Based Quaternion-Valued Medians for Non-Invasive Blood Glucose Estimation. [PDF]
Feng J, Ling BW.
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