Results 21 to 30 of about 1,840,438 (303)
Stabilizer rank and higher-order Fourier analysis [PDF]
Quantum, 2022 We establish a link between stabilizer states, stabilizer rank, and higher-order Fourier analysis – a still-developing area of mathematics that grew out of Gowers's celebrated Fourier-analytic proof of Szemerédi's theorem \cite{gowers1998new}. We observe
Farrokh Labib
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On the equation fn + (f″)m ≡ 1
Demonstratio Mathematica, 2023 Let nn and mm be two positive integers, and the second-order Fermat-type functional equation fn+(f″)m≡1{f}^{n}+{({f}^{^{\prime\prime} })}^{m}\equiv 1 does not have a nonconstant meromorphic solution in the complex plane, except (n,m)∈{(1,1),(1,2),(1,3 ...
Dang Guoqiang
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Permutation groups and derangements of odd prime order [PDF]
Journal of Combinatorial Theory, 2016 Let $G$ be a transitive permutation group of degree $n$. We say that $G$ is $2'$-elusive if $n$ is divisible by an odd prime, but $G$ does not contain a derangement of odd prime order.
Timothy C. Burness, Michael Giudici
semanticscholar +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2011 The theory of $u_{0}$-positive operators with respect to a cone in a Banach space is applied to the linear differential equations $u^{(4)}+\lambda_{1} p(x)u=0$ and $u^{(4)}+\lambda_{2} q(x)u=0$, $0\leq x\leq 1$, with each satisfying the boundary ...
Jeffrey Neugebauer
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Existence theory of fractional order three-dimensional differential system at resonance
Mathematical Modelling and Control, 2023 This paper deals with three-dimensional differential system of nonlinear fractional order problem \begin{document}$ \begin{align*} D^{\alpha}_{0^{+}}\upsilon(\varrho) = f(\varrho,\omega(\varrho),\omega^{\prime}(\varrho),\omega^{\prime\prime}(\varrho),
M. S. Kumar +3 more
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On problems concerning fixed-point-free permutations and on the polycirculant conjecture-a survey [PDF]
Transactions on Combinatorics, 2019 Fixed-point-free permutations, also known as derangements, have been studied for centuries. In particular, depending on their applications, derangements of prime-power order and of prime order have always played a crucial role in a variety of ...
Majid Arezoomand +2 more
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U(3) chiral perturbation theory with infrared regularization [PDF]
, 2001 We include the eta-prime in chiral perturbation theory without employing 1/N_c counting rules. The method is illustrated by calculating the masses and decay constants of the Goldstone boson octet (pions, kaons, eta) and the singlet eta-prime up to one ...
A. Bramon +17 more
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On Semisymmetric Cubic Graphs of Order 20p2, p Prime
Discussiones Mathematicae Graph Theory, 2021 A simple graph is called semisymmetric if it is regular and edge-transitive but not vertex-transitive. Let p be an arbitrary prime. Folkman proved [Regular line-symmetric graphs, J. Combin. Theory 3 (1967) 215–232] that there is no semisymmetric graph of
Shahsavaran Mohsen +1 more
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Uncovering multiscale order in the prime numbers via scattering [PDF]
Journal of Statistical Mechanics: Theory and Experiment, 2018 The prime numbers have been a source of fascination for millennia and continue to surprise us. Motivated by the hyperuniformity concept, which has attracted recent attention in physics and materials science, we show that the prime numbers in certain ...
S. Torquato +2 more
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The crucial importance of the $t_{2g}$--$e_g$ hybridization in transition metal oxides [PDF]
, 2007 We studied the influence of the trigonal distortion of the regular octahedron along the (111) direction, found in the $\rm CoO_2$ layers. Under such a distortion the $t_{2g}$ orbitals split into one $a_{1g}$ and two degenerated $e_g^\prime$ orbitals.
B. O. Roos +6 more
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