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Factorization of numbers with Gauss sums: I. Mathematical background
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
Towards Advanced Intelligent and Perceptive Soft Grippers
Implementing soft yet strong and intelligent soft grippers request innovative and creative solutions in designing soft bodies and seamlessly integrating actuated systems with hierarchical sensing. This review systematically analyses soft grippers with a deep understanding of core components, from fundamental design principles to actuation and sensing ...
Haneul Kim +4 more
wiley +1 more source
A note on the sign (unit root) ambiguities of Gauss sums in index 2 and 4 cases
Recently, the explicit evaluation of Gauss sums in the index 2 and 4 cases have been given in several papers (see [2,3,7,8]). In the course of evaluation, the sigh (or unit root) ambiguities are unavoidably occurred.
B. C. Berndt +15 more
core +1 more source
ABSTRACT Bamboo charcoal–based extruded activated carbons were prepared via molding, pre‐oxidation, carbonization, and steam activation, with coal tar, phenolic resin, and their mixtures employed as binders based on practical availability and technical feasibility. This study focused on the regulatory effects of binders on the mechanical properties and
Huitao Jiang, Songlin Zuo
wiley +1 more source
On matrix elements for the quantized cat map modulo prime powers
The quantum cat map is a model for a quantum system with underlying chaotic dynamics. In this paper we study the matrix elements of smooth observables in this model, when taking arithmetic symmetries into account. We give explicit formulas for the matrix
Kelmer, Dubi
core +3 more sources
ABSTRACT Efficient thermal management in advanced industrial systems requires improved heat transfer performance, particularly under non‐Newtonian fluid behavior and complex surface geometries. This study investigates the two‐dimensional flow and heat transfer characteristics of ternary hybrid nanofluids over both stationary and moving wedge surfaces ...
A. O. Akindele +4 more
wiley +1 more source
ESG Controversies in Global Firms: A Black Mark?
ABSTRACT Despite increasing attention paid by companies to sustainability, there is still evidence of environmental, social and governance (commonly referred to as ESG) scandals. As research on this topic is scant, this paper aims to analyse the impact of ESG controversies on firms' sustainability practices, that is, ESG policies, as well as ...
Beatrice Bais, Guido Orzes, Marco Sartor
wiley +1 more source
Some New Identities Related to Dedekind Sums Modulo a Prime
The main purpose of this article is to use some identities of the classical Gauss sums, the properties of character sums, and Dedekind sums (modulo an odd prime) to study the computational problem of one-kind mean values related to Dedekind sums and give
Jiayuan Hu
doaj +1 more source
q-Newton binomial: from Euler to Gauss
A counter-intuitive result of Gauss (formulae (1.6), (1.7) below) is made less mysterious by virtue of being generalized through the introduction of an additional ...
Andrews G.E. +25 more
core +2 more sources
Abstract A streamlined characterization framework (WSPLK) is presented for modelling complex reservoir fluids using cubic equations of state. The key methodological contribution is the introduction of a single global parameter ε directly into Pedersen's boiling‐point correlation, restoring pure‐component calibration and eliminating the need for ...
Angélica Merlo‐Robredo +3 more
wiley +1 more source

