Results 51 to 60 of about 40,517 (277)
Factorization of numbers with Gauss sums: I. Mathematical background
, 2011 We use the periodicity properties of generalized Gauss sums to factor numbers. Moreover, we derive rules for finding the factors and illustrate this factorization scheme for various examples.
Averbukh, I. Sh. +4 more
core +3 more sources
Imaging of Biphoton States: Fundamentals and Applications
Advanced Functional Materials, EarlyView.Quantum states of two photons exhibit a rich polarization and spatial structure, which provides a fundamental resource of strongly correlated and entangled states. This review analyzes the physics of these intriguing properties and explores the various techniques and technologies available to measure them, including the state of the art of their ...
Alessio D'Errico, Ebrahim Karimi
wiley +1 more source
Advanced Functional Materials, EarlyView.ABSTRACT Materials that can deform, sense, and autonomously generate power in response to wireless magnetic fields, through both magnetic‐actuated shape transformation and charge generation, are an emerging focus in advanced functional materials research.
Zhi Zhao, Xiaojia Shelly Zhang
wiley +1 more source
On the hybrid power mean of two kind different trigonometric sums
Open Mathematics, 2019 The main purpose of this paper is using the analytic method, the properties of trigonometric sums and Gauss sums to study the computational problem of one kind hybrid power mean involving two different trigonometric sums, and give an interesting ...
Zhuoyu Chen, Wenpeng Zhang
doaj +1 more source
Advanced Functional Materials, EarlyView.Developing recyclable materials for magnetic robotics that combine rapid response and self‐healing properties is challenging. Hence, this study focuses on the integration of magnetothermal nanoparticles into a dynamic sorbitol‐based vitrimer, a recyclable composite capable of remote actuation and self‐healing by magnetic heating.
Maria Weißpflog +3 more
wiley +1 more source
A Hybrid Mean Value Involving Dedekind Sums and the General Exponential Sums
The Scientific World Journal, 2014 The main purpose of this paper is using the analytic method, A. Weil’s classical work for the upper bound estimate of the general exponential sums, and the properties of Gauss sums to study the hybrid mean value problem involving Dedekind sums and the ...
Jianghua Li, Tingting Wang
doaj +1 more source
Incomplete gauss sums modulo primes [PDF]
The Quarterly Journal of Mathematics, 2018 We obtain a new bound for incomplete Gauss sums modulo primes. Our argument falls under the framework of Vinogradov's method which we use to reduce the problem under consideration to bounding the number of solutions to two distinct systems of congruences.
openaire +2 more sources
Advanced Materials, EarlyView.Metasurface‐engineered NC‐TENG arrays integrate tactile pressure mapping, non‐contact gesture sensing, and acoustic signal readouts in one ultrathin module, and outperforms pristine PDMS in terms of electrical output and real‐time spatial mapping for next‐gen wearables.
Injamamul Arief +12 more
wiley +1 more source
Crack Repair in Hydroxyapatite Bioceramics Using an Ultraviolet Ultrafast Laser
Advanced Materials Interfaces, EarlyView.The study proposes an ultrafast ultraviolet laser approach to repair hidden tooth cracks, which has been preliminarily validated on HAP. Moreover, this technique aims to strengthen the native enamel structure rather than introducing a foreign filling material.
Yan Xue +6 more
wiley +1 more source
Universal Gauss-Thakur sums and L-series
, 2013 In this paper we study the behavior of the function omega of Anderson-Thakur evaluated at the elements of the algebraic closure of the finite field with q elements F_q.
Angles, Bruno, Pellarin, Federico
core +2 more sources