Results 41 to 50 of about 14,403 (212)

Consimilarity of hybrid number matrices and hybrid number matrix equations $ \mathrm{A\widetilde{\mathrm{X}}-XB} = \mathrm{C} $

AIMS Mathematics
This research aims to investigate the consimilarity of hybrid number matrices and to develop solutions for matrix equations associated with these numbers.
Hasan Çakır
doaj   +1 more source

On solving norm equations in global function fields

Journal of Mathematical Cryptology, 2009
The potential of solving norm equations is crucial for a variety of applications of algebraic number theory, especially in cryptography. In this article we develop general effective methods for that task in global function fields for the first time.
Gaál István, Pohst Michael E.
doaj   +1 more source

A differential representation of cosmological wavefunctions

Journal of High Energy Physics, 2022
Our understanding of quantum field theory rests largely on explicit and controlled calculations in perturbation theory. Because of this, much recent effort has been devoted to improve our grasp of perturbative techniques on cosmological spacetimes. While
Aaron Hillman, Enrico Pajer
doaj   +1 more source

New restricted and extended soft set operations: restricted gamma and extended gamma operations [PDF]

Big Data and Computing Visions
Soft set theory has been well-known as an innovative approach to managing uncertainty-related problems and modelling uncertainty since Molodtsov introduced it in 1999. It has been applied in a variety of contexts, both theoretical and practical. The core
Aslıhan Sezgin, Fitnat Aybek
doaj   +1 more source

Energy scaling and reduction in controlling complex networks [PDF]

Royal Society Open Science, 2016
Recent works revealed that the energy required to control a complex network depends on the number of driving signals and the energy distribution follows an algebraic scaling law. If one implements control using a small number of drivers, e.g.
Yu-Zhong Chen, Le-Zhi Wang, Wen-Xu Wang, Ying-Cheng Lai   +3 more
doaj   +1 more source

Rank-2 attractors and Deligne’s conjecture

Journal of High Energy Physics, 2021
In this paper, we will study the arithmetic geometry of rank-2 attractors, which are Calabi-Yau threefolds whose Hodge structures admit interesting splits. We will develop methods to analyze the algebraic de Rham cohomologies of rank-2 attractors, and we
Wenzhe Yang
doaj   +1 more source

Approximation of Algebraic Curves in Function Spaces of Topological Sequences Connected to Specific Simple Graph Families

Journal of Function Spaces
Algebraic curves and topological sequences play a crucial role in mathematics and graph theory, serving as a bridge between geometry, algebra, and number theory.
Mohammad Mazyad Hazzazi, Muhammad Imran, Muhammad Nadeem, Muhammad Kamran, Samuel Asefa Fufa   +4 more
doaj   +1 more source

New Algebraic Groups Produced By Graphical Passwords Based On Colorings And Labellings

MATEC Web of Conferences, 2017
Safety of plain text passwords has been questioned in current researching information passwords. Graphical passwords are another way for alternative text-based passwords and to improve the user account security.
Sun Hui, Zhang Xiaohui, Zhao Meimei, Yao Bing   +3 more
doaj   +1 more source

On the High Dimensional RSA Algorithm—A Public Key Cryptosystem Based on Lattice and Algebraic Number Theory [PDF]

, 2022
Zhiyong Zheng, liu fengxia
openalex   +3 more sources

Algebraic Number Theory and Code Design for Rayleigh Fading Channels [PDF]

, 2004
Frédérique Oggier, Emanuele Viterbo
openalex   +2 more sources