Results 61 to 70 of about 524,682 (315)
New Class of Quantum Error-Correcting Codes for a Bosonic Mode
Physical Review X, 2016 We construct a new class of quantum error-correcting codes for a bosonic mode, which are advantageous for applications in quantum memories, communication, and scalable computation.
Marios H. Michael +6 more
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$q$-DEFORMED RATIONALS AND $q$-CONTINUED FRACTIONS
Forum of Mathematics, Sigma, 2020 We introduce a notion of $q$-deformed rational numbers and $q$-deformed continued fractions. A $q$-deformed rational is encoded by a triangulation of a polygon and can be computed recursively. The recursive formula is analogous to the $q$-deformed Pascal
SOPHIE MORIER-GENOUD, VALENTIN OVSIENKO
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Sums of Pell/Lucas Polynomials and Fibonacci/Lucas Numbers
Mathematics, 2022 Seven infinite series involving two free variables and central binomial coefficients (in denominators) are explicitly evaluated in closed form. Several identities regarding Pell/Lucas polynomials and Fibonacci/Lucas numbers are presented as consequences.
Dongwei Guo, Wenchang Chu
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Supercongruences for polynomial analogs of the Apéry numbers [PDF]
Proceedings of the American Mathematical Society, 2018 We consider a family of polynomial analogs of the Ap\'ery numbers, which includes $q$-analogs of Krattenthaler--Rivoal--Zudilin and Zheng, and show that the supercongruences that Gessel and Mimura established for the Ap\'ery numbers generalize to these ...
A. Straub
semanticscholar +1 more source
Modeling and parameter estimation for fractional large‐scale interconnected Hammerstein systems
Asian Journal of Control, EarlyView.Abstract This paper addresses the challenge of modeling and identifying large‐scale interconnected systems exhibiting memory effects, hereditary properties, and non‐local interactions. We propose a fractional‐order extension of the Hammerstein architecture that incorporates Grünwald–Letnikov operators to capture complex dynamics through multiple ...
Mourad Elloumi +2 more
wiley +1 more source
AIP AdvancesIn this paper, we derive two new generating functions of Laguerre-polynomials, which look like the negative binomial theorem for the Laguerre function Lnx, by adopting the bi-partite entangled state representation and the operator-Hermite-polynomial HnX ...
Ke Zhang, Hong-Yi Fan
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Free field primaries in general dimensions: counting and construction with rings and modules
Journal of High Energy Physics, 2018 We define lowest weight polynomials (LWPs), motivated by so(d, 2) representation theory, as elements of the polynomial ring over d × n variables obeying a system of first and second order partial differential equations.
Robert de Mello Koch, Sanjaye Ramgoolam
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Generalized Additive Modeling of Ecological Data With mgcv: New Adequacy Assessment Tools. [PDF]
Ecol EvolAnadromous Nunavik Arctic charr (Salvelinus alpinus) during the upstream migration in the Aipparusik (Bérard) River in September 2017, Tasiujaq, Québec, Canada. Sampled female Arctic charr from this population and two other populations in Nunavik were jointly analyzed to estimate their length‐at‐maturity. This was achieved with the analysis of discrete
Mainguy J +5 more
europepmc +2 more sources
Restricted Tweedie stochastic block models
Canadian Journal of Statistics, EarlyView.Abstract The stochastic block model (SBM) is a widely used framework for community detection in networks, where the network structure is typically represented by an adjacency matrix. However, conventional SBMs are not directly applicable to an adjacency matrix that consists of nonnegative zero‐inflated continuous edge weights.
Jie Jian, Mu Zhu, Peijun Sang
wiley +1 more source
q-Analogue of a binomial coefficient congruence
International Journal of Mathematics and Mathematical Sciences, 1995 We establish a q-analogue of the congruence (papb)≡(ab) (modp2) where p is a prime and a and b are positive integers.
W. Edwin Clark
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