Results 71 to 80 of about 9,566 (254)
Physics‐Embedded Neural Network: A Novel Approach to Design Polymeric Materials
Advanced Science, EarlyView.Traditional black‐box models for polymer mechanics rely solely on data and lack physical interpretability. This work presents a physics‐embedded neural network (PENN) that integrates constitutive equations into machine learning. The approach ensures reliable stress predictions, provides interpretable parameters, and enables performance‐driven, inverse ...
Siqi Zhan +8 more
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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Advanced Science, EarlyView.The unique lamellar structure of the eutectic alloy promotes selective oxidation of Al initially, while lattice distortion‐induced diffusion suppression slows oxide growth during steady state. Combining these strategies, a Multi‐Principal Element Alloy with excellent oxidation resistance at 1200℃ was designed.
Xinyu Zhang +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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Advanced Science, EarlyView.Hyperfine coupling to 29Si$^{29}{\rm Si}$ and 73Ge$^{73}{\rm Ge}$ nuclear spins limits hole spin‐qubit coherence in Ge heterostructures. We demonstrate device‐grade, nuclear‐spin‐free 70Ge$^{70}{\rm Ge}$/28Si70Ge$^{28}{\rm Si}^{70}{\rm Ge}$ quantum wells grown on industrial SiGe buffers with minimal use of enriched precursors.
Patrick Daoust +11 more
wiley +1 more source
New Construction Weighted (h,q)-Genocchi Numbers and Polynomials Related to Zeta Type Functions
Discrete Dynamics in Nature and Society, 2011 The fundamental aim of this paper is to construct (h,q)-Genocchi numbers and polynomials with weight α. We shall obtain some interesting relations by using p-adic q-integral on Zp in the sense of fermionic.
Serkan Araci, Jong Jin Seo, Dilek Erdal
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Rate of convergence of Szász-beta operators based on q-integers
Demonstratio Mathematica, 2017 AbstractThe purpose of this paper is to establish the rate of convergence in terms of the weighted modulus of continuity and Lipschitz type maximal function for the q-Szász-beta operators. We also study the rate of A-statistical convergence. Lastly, we modify these operators using King type approach to obtain better approximation.
Gupta Pooja, Agrawal Purshottam Narain
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ML Workflows for Screening Degradation‐Relevant Properties of Forever Chemicals
Advanced Science, EarlyView.The environmental persistence of per‐ and polyfluoroalkyl substances (PFAS) necessitates efficient remediation strategies. This study presents physics‐informed machine learning workflows that accurately predict critical degradation properties, including bond dissociation energies and polarizability.
Pranoy Ray +3 more
wiley +1 more source
Advanced Science, EarlyView.A meta‐YAG crystal with artificially order/disorder structures was fabricated to realize the efficient third‐harmonic generation at 343 nm with a conversion efficiency of 4.5×10−3, surpassing six orders of magnitude compared to bulk YAG crystal. Moreover, a wide spectral tunability from 331 to 356 nm was also achieved in the meta‐YAG, indicating its ...
Xiaotian Guo +6 more
wiley +1 more source
ON THE ADDITIVE GROUP OF q-INTEGERS
, 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.
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