Results 61 to 70 of about 791,112 (289)

$q$-Rationals and Finite Schubert Varieties

Comptes Rendus. Mathématique, 2023
The classical $q$-analogue of the integers was recently generalized by Morier-Genoud and Ovsienko to give $q$-analogues of rational numbers. Some combinatorial interpretations are already known, namely as the rank generating functions for certain ...
Ovenhouse, Nicholas
doaj   +1 more source

Large‐Area Flat Optics Color Routing in Tilted Arrays of 2D Semiconductor Nanostripes

Advanced Optical Materials, EarlyView.
We develop a scalable flat optics platform exploiting self‐organised ion‐beam sputtering and maskless glancing‐angle deposition to fabricate centimetre‐scale arrays of tilted MoS2 nanostripes. The engineered geometry activates Rayleigh anomalies, guided modes, and Mie resonances, enabling highly directional color routing and enhanced light harvesting ...
Simone Di Marco, Daniele Ceneda, Matteo Barelli, Matteo Gardella, Rajesh Chennuboina, Maria C. Giordano, Marco Centini, Francesco Buatier de Mongeot   +7 more
wiley   +1 more source

q-Genocchi Numbers and Polynomials Associated with q-Genocchi-Type l-Functions

Advances in Difference Equations, 2008
The main purpose of this paper is to study on generating functions of the q-Genocchi numbers and polynomials. We prove new relation for the generalized q-Genocchi numbers which is related to the q-Genocchi numbers and q-Bernoulli numbers.
Daeyeoul Kim, Veli Kurt, Ismail Naci Cangul, Yilmaz Simsek   +3 more
doaj   +1 more source

Extension of the discrete universality theorem for zeta-functions of certain cusp forms

Nonlinear Analysis, 2018
In the paper, an universality theorem on the approximation of analytic functions by generalized discrete shifts of zeta functions of Hecke-eigen cusp forms is obtained.
Antanas Laurinčikas, Darius Šiaučiunas, Adelė Vaiginytė   +2 more
doaj   +1 more source

Consensus Formation and Change are Enhanced by Neutrality

Advanced Science, EarlyView.
Neutral agents are shown to enhance both the formation and overturning of consensus in collective decision‐making. A general mathematical model and experiments with locusts and humans reveal that neutrality enables robust consensus via simple interactions and accelerates consensus change by reducing effective population size.
Andrei Sontag, Janina A. Hoffmann, Tim Rogers, Christian A. Yates   +3 more
wiley   +1 more source

Charting Endocrine Progenitors Across Species and Organs

Advanced Science, EarlyView.
Endocrine progenitors give rise to the hormone‐producing cells of the pancreas and intestine. Using single‐cell multiomics and proteomics, this study compares these progenitors across species, systems, and organs, mapping the conserved and species‐specific gene regulatory networks that guide their formation.
Changying Jing, Michael Sterr, Özüm Sehnaz Caliskan, Lama Saber, Nicole Katarina Rogers, Samuel Ogden, Kei Kozawa, Christos Karampelias, Jessica Jaki, Aimée Bastidas‐Ponce, Falk Janos Farkas, Oliver Czarnecki, Osvaldo Rodrigues Pereira, Perla Cota, Valerie Vandenbempt, Diego Balboa, Anika Böttcher, Natalie Krahmer, Mohammad Lotfollahi, Julie B. Sneddon, Heiko Lickert, Mostafa Bakhti   +21 more
wiley   +1 more source

On the Stability of a Generalized Quadratic and Quartic Type Functional Equation in Quasi-Banach Spaces

Journal of Inequalities and Applications, 2009
We establish the general solution of the functional equation f(nx+y)+f(nx−y)=n2f(x+y)+n2f(x−y)+2(f(nx)−n2f(x))−2(n2−1)f(y) for fixed integers n with n≠0,±1 and investigate the generalized Hyers-Ulam ...
M. Eshaghi Gordji, S. Abbaszadeh, Choonkil Park   +2 more
doaj   +2 more sources

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, Hengheng Zhao, Haotian Wang, Zhanjie Liu, Qian Li, Weifeng Zhang, Qingsong Zhao, Liqun Zhang, Jun Liu   +8 more
wiley   +1 more source

Representing rational integers by generalized quadratic forms over quadratic fields [PDF]

We investigate generalized quadratic forms with values in the set of rational integers over quadratic fields. We characterize the real quadratic fields which admit a positive definite binary generalized form of this type representing every positive ...
Chwiedziuk, Ondřej, Pěchoučková, Emma, Prakash, Om, Zindulka, Mikuláš, Romeo, Giuliano, Doležálek, Matěj, Pezlar, Zdeněk, Růžičková, Anna   +7 more
core   +1 more source

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, Andrew R. Castillo, Manoj Kolel‐Veetil, Surya R. Kalidindi   +3 more
wiley   +1 more source