Results 41 to 50 of about 13,923 (165)

Algorithms in Algebraic Number Theory [PDF]

Bulletin of the American Mathematical Society, 1992
34 ...
openaire   +4 more sources

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

Notes on Number Theory

Mathematics
This paper presents a set of survey-style notes linking core themes of pure algebra with central topics in algebraic and analytic number theory. We begin with finite extensions of Q and describe algebraic number fields through their realization as finite-
Miroslav Stoenchev, Slavi Georgiev, Venelin Todorov   +2 more
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

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

A study on multiset and multi-real number system and its use to develop metric in the multiset context [PDF]

Neutrosophic Sets and Systems
In this paper, we present an alternative development of multiset theory through the notions of the general multiset, the Q+-multiset, and N-multiset. We further propose the notion of a multi-real number system. Several properties of the general multiset,
Debjyoti Chatterjee, Shashi Bajaj Mukherjee   +1 more
doaj   +1 more source

Algebraic Properties of Arbitrage: An Application to Additivity of Discount Functions

Mathematics, 2019
Background: This paper aims to characterize the absence of arbitrage in the context of the Arbitrage Theory proposed by Kreps (1981) and Clark (2000) which involves a certain number of well-known financial markets.
Salvador Cruz Rambaud
doaj   +1 more source

Enumeration of rooted 3-connected bipartite planar maps

Comptes Rendus. Mathématique
We provide the first solution to the problem of counting rooted 3-connected bipartite planar maps. Our starting point is the enumeration of bicoloured planar maps according to the number of edges and monochromatic edges, following Bernardi and Bousquet ...
Noy, Marc, Requilé, Clément, Rué, Juanjo   +2 more
doaj   +1 more source

x-y duality in topological recursion for exponential variables via quantum dilogarithm

SciPost Physics
For a given spectral curve, the theory of topological recursion generates two different families $\omega_{g,n}$ and $\omega_{g,n}^\vee$ of multi-differentials, which are for algebraic spectral curves related via the universal $x-y$ duality formula.
Alexander Hock
doaj   +1 more source