Results 81 to 90 of about 1,754,330 (293)
, 2013 The q-binomial coefficients (n m)q are integers for integers q and 0≤m≤n. They satisfy the two recurrence equations: (n m)q=q^(n-m).(n-1 m-1)q + (n-1 m)q, (n m)q=q^(m).(n-1 m)q + (n-1 m-1)qEducação Superior::Ciências Exatas e da Terra ...
Pavlyk, Oleksandr
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Shape-preserving properties of a new family of generalized Bernstein operators
Journal of Inequalities and Applications, 2018 In this paper, we introduce a new family of generalized Bernstein operators based on q integers, called (α,q) $(\alpha,q)$-Bernstein operators, denoted by Tn,q,α(f) $T_{n,q,\alpha}(f)$. We investigate a Kovovkin-type approximation theorem, and obtain the
Qing-Bo Cai, Xiao-Wei Xu
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Photonic‐Enabled Energy‐Efficient Transparent Neuromorphic Computing Devices: A Review
Advanced Science, EarlyView.Transparent photonic neuromorphic computing devices merge optics and brain‐inspired computing to overcome von Neumann bottlenecks with ultrafast, low‐energy processing. By exploiting transparent oxides, 2D materials, phase‐change materials, and hybrid heterostructures, these platforms enable photonic synapses, memory, and logic for see‐through edge ...
Shuvaraj Ghosh +8 more
wiley +1 more source
Moments of $q$-Jacobi polynomials and $q$-zeta values [PDF]
We explore some connections between moments of rescaled little $q$-Jacobi polynomials, $q$-analogues of values at negative integers for some Dirichlet series, and the $q$-Eulerian polynomials of wreath products of symmetric ...
Zeng, Jiang +2 more
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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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, 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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On q- Integer Representation with a Special Sequence
Turkish Journal of ScienceIn this study, we considered a different sequence with bicomplex coefficients. We investigated some important properties of this new number sequence that we created by giving the q− form and finding the exponential generating function. Moreover, we obtained the fundamental combinatorial identities related with these sequences.
Serpil HALICI, Omur DEVECI, Sule CURUK
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Orientation‐Engineered Insulator‐Metal Transition in Vanadium Dioxide
Advanced Science, EarlyView.Crystallographic orientation engineering in VO2/TiO2 heterostructures enables tunable insulator‐metal transitions. The high‐Miller‐index (102) orientation breaks in‐plane mirror symmetry, inducing anisotropic transport, while its inclined oxygen channels accelerate protonation kinetics.
Xuanchi Zhou +4 more
wiley +1 more source
NICE: A Two‐Step Non‐Invasive Framework for Embryo cfDNA Read Enrichment and Quality Assessment
Advanced Science, EarlyView.The non‐invasive NICE framework, built on an ensemble stacking machine learning model, prioritizes embryos by analyzing cell‐free DNA from spent culture medium. By integrating multimodal signals, including genomic and epigenetic profiles, this automated approach standardizes morphological assessment without human bias, paving the way for more precise ...
Xueya Zhou +6 more
wiley +1 more source
A new class of infinite products, and Euler's totient
International Journal of Mathematics and Mathematical Sciences, 1994 We introduce some new infinite products, the simplest being(1−y)∏k=2∞∏j∈ϕk(1−ykqj)1/k=(1−y1−qy)1/(1−q),where ϕk is the set of positive integers less than and relatively prime to k, valid for |y|∧|qy| both less than unity, with q≠1.
Geoffrey B. Campbell
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