Results 11 to 20 of about 24,945,935 (201)
Symmetry-Imposed Selection Rules for Excitations of Nontrivial Plasmonic Topologies. [PDF]
Adv Sci (Weinh)A unified group‐theory selection rule governs the excitation of vectorial nearfield topologies across three plasmonic spin states. Derived from first principles, it predicts spin–orbit vortex splitting and multidimensional nested vortices, confirmed by phase‐resolved in situ measurements.
Yang J +14 more
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On two new identities concerning the q-integers and several divisibility properties for these integers [PDF]
, 2023 In this paper, we first prove two new identities concerning the q-integers and then for these integers we derive several divisibility properties based on these identities and on properties of the q ...
İpek, Ahmet
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On p/q-recognisable sets [PDF]
, 2021 International audienceLet p/q be a rational number. Numeration in base p/q is defined by a function that evaluates each finite word over A_p={0,1,...,p-1} to some rational number. We let N_p/q denote the image of this evaluation function.
Marsault, Victor, Victor Marsault
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q-deformed integers derived from pairs of coprime integers and its applications [PDF]
, 2022 In connection with cluster algebras, snake graphs and q-integers, Kyungyong Lee and Ralf Schiffler recently found a formula for computing the (normalized) Jones polynomials of rational links in terms of continued fraction expansion of rational numbers ...
Wakui, Michihisa
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The q-integers and the Mersenne numbers [PDF]
, 2018 Here we will show that the q-integers, the q-analogue of the integers that we can find in the q-calculus, are forming an additive group having a generalized sum similar to the sum of the Tsallis q-entropies of independent systems. The symmetric form of q-
Sparavigna, Amelia Carolina +1 more
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Torsion-free crystallographic groups with indecomposable holonomy group II. [PDF]
, 2004 Let K be a principal ideal domain, G a finite group, and M a KG-module which is a free K-module of finite rank on which G acts faithfully. A generalized crystallographic group is a non-split extension C of M by G such that conjugation in C induces the G ...
Bódi, Viktor +3 more
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ON THE ADDITIVE GROUP OF q-INTEGERS [PDF]
, 2018 Here we will show that the q-integers, that we can find in the q-calculus, are forming an additive group having a generalized sum, which is similar to sum of the Tsallis q-entropy of two independent systems.The full citation for this Article is ...
Sparavigna, Amelia Carolina +1 more
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An Elaboration of the Cai-Xu Result on (p, q)-integers
, 2020 Ostrovska, Sofiya/0000-0003-1842-7953The investigation of the (p, q)-Bernstein operators put forth the problem of finding the conditions when a sequence of (p, q)-integers tends to infinity.
Ostrovska, Sofiya
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, 2020 In this article, we obtain a recursive description of the Horn cone Horn(p,q) with respect to the integers p and q, as in the classical Horn's ...
Paradan, Paul-Emile
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A q-analogue of granville’s congruence
, 2022 In this paper, we establish a q-analogue of Granville’s congruence as follows: ∑p−1 k=1 xk ≡1− xp − (x; q)p p (p − 1) (1 − q) + x [k]q [p]q 2 (mod [p]q ), for any real number x and odd prime p. Here [n]q = 1 + q + q2 + … + qn−1 and (x; q)n = (1 − x) (1 −
Ömür, N., Elkhiri, L., Koparal, S.
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