Results 71 to 80 of about 121,729 (283)
Gauss sums and multinomial coefficients [PDF]
, 2004 Consider a Gauss sum for a finite field of characteristic p, where p is an odd prime. When such a sum (or a product of such sums) is a p-adic integer we show how it can be realized as a p-adic limit of a sequence of multinomial coefficients.
Young, Paul Thomas
core +1 more source
From Folding Mechanics to Robotic Function: A Unified Modeling Framework for Compliant Origami
Advanced Science, EarlyView.A geometry‐consistent DDG framework captures compliant origami deformation from rigid‐like folding to soft panel bending. By tuning crease and panel stiffness, bistable snap‐through responses transform into smooth monostable deformation, enabling programmable stability and robot‐scale locomotion.
Bohan Zhang +7 more
wiley +1 more source
Angewandte Chemie, EarlyView.This work reports the design of a multifunctional MnOx support coupled with classic Rh catalytic centers for light‐driven dry reforming of methane. Benefiting from efficient photon‐to‐phonon conversion pathway and a dynamic OL‐OV cycle, the catalyst achieves high syngas production rates and light‐to‐chemical energy efficiency without external heating ...
Chengzhi Guo +11 more
wiley +2 more sources
Advanced Science, EarlyView.A chlorine‐functionalized silane modifier (CPTMS) is introduced to cooperatively regulate CO2 reduction to C2+ products on Cu‐based catalysts. Dual‐functional interface sequentially enhances CO2 activation, intermediates protonation and C─C coupling, delivering a 5‐fold increase in C2+ faradaic efficiency (FE, 75% vs.
Ying Ying Ch'ng +14 more
wiley +1 more source
Natural Sunlight IR‐Driven Highly Efficient Synthesis of Acetaldehyde From Bioethanol Over Cu/Fe2O3
Angewandte Chemie, EarlyView.This work reports a Cu/Fe2O3 catalyst for the conversion of bioethanol into valuable acetaldehyde and green hydrogen under both infrared (IR) light and natural sunlight. This IR‐driven system sets a new performance benchmark, with TON and initial TOF enhanced by at least one order of magnitude, enabled by a constructed IR photon‐to‐phonon channel and ...
Xiyi Li +10 more
wiley +2 more sources
Equidistribution and independence of Gauss sums [PDF]
We prove a general independent equidistribution result for Gauss sums associated to $n$ monomials in $r$ variable multiplicative characters over a finite field, which generalizes several previous equidistribution results for Gauss and Jacobi sums.
Rojas-León, Antonio
core +1 more source
On the Fourth Hybrid Power Mean Involving the Generalized Gauss Sums
Journal of Mathematics, 2023 In this paper, we use the elementary and analytic methods to study the fourth hybrid power mean involving the generalized Gauss sums and prove several interesting identities for them.
Xiaoge Liu, Yuanyuan Meng
doaj +1 more source
Stochastic Entanglement of Deterministic Origami Tentacles For Robust Robotic Grasping
Advanced Science, EarlyView.This study introduces an origami tentacle gripper to robustly grasp objects‐in air, underwater, and even in orbital space‐by exploiting a synergy between local, deterministic deformation programming and global, stochastic entanglements. A single origami tentacle can be designed to coil with a simple tendon pull.
Alec Boron +4 more
wiley +1 more source
Products related to Gauss sums.
Journal für die reine und angewandte Mathematik (Crelles Journal), 1974 Let \(m\geq 2\) be an integer, let \(p\) be a prime with \(p\equiv 1\pmod m\) and let \(\rho\) be a primitive \(m\)-th root of unity. Then \(p\) splits completely in the cyclotomic field \(\mathbb Q(\rho)\) and, if we pick \(\mathfrak p\) to be one of the prime divisors of \(p\) in \(\mathbb Q(\rho)\) we define a character \(\chi\) of order \(m\) on \(\
openaire +1 more source
Advanced Science, EarlyView.Neuromodulation strategies are increasingly needed to stimulate, restore, or replace altered neuronal activity in disease. Cobalt ferrite‐barium titanate (CFO–BTO) magnetoelectric nanoparticles convert low‐intensity static magnetic fields into local electrical modulation of cortical networks.
Nathalia Cancino‐Fuentes +13 more
wiley +1 more source