Results 31 to 40 of about 2,550,362 (221)

Some Algebraic Aspects of MorseCode Sequences [PDF]

Discrete Mathematics & Theoretical Computer Science, 2003
Morse code sequences are very useful to give combinatorial interpretations of various properties of Fibonacci numbers. In this note we study some algebraic and combinatorial aspects of Morse code sequences and obtain several q-analogues of Fibonacci
Johann Cigler
doaj   +2 more sources

Partitions of numbers and the algebraic principle of Mersenne, Fermat and even perfect numbers [PDF]

Notes on Number Theory and Discrete Mathematics
Let ρ be an odd prime greater than or equal to 11. In a previous work, starting from an M-cycle in a finite field 𝔽_ρ, it has been established how the divisors of Mersenne, Fermat and Lehmer numbers arise.
A. M. S. Ramasamy
doaj   +1 more source

On the Dual Symbolic 2-Plithogenic Numbers [PDF]

Neutrosophic Sets and Systems, 2023
The objective of this paper is to combine dual numbers with symbolic 2-plithogenic numbers in one algebraic structure called dual symbolic 2-plithogenic real numbers.
Khadija Ben Othman, Maretta Sarkis, Murat Ozcek   +2 more
doaj  

Finding Integral Linear Dependencies of Algebraic Numbers and Algebraic Lie Algebras [PDF]

LMS Journal of Computation and Mathematics, 2007
Abstract:We give an algorithm for finding the module of linear dependencies of the roots of a monic integral polynomial. Using this, we describe an algorithm for constructing the algebraic hull of a given matrix Lie algebra in characteristic zero.
De Graaf, Willem Adriaan, C. Fieker
openaire   +4 more sources

Ansätze for scattering amplitudes from p-adic numbers and algebraic geometry

Journal of High Energy Physics, 2022
Rational coefficients of special functions in scattering amplitudes are known to simplify on singular surfaces, often diverging less strongly than the naïve expectation.
Giuseppe De Laurentis, Ben Page
doaj   +1 more source

Remarks on the approximation to an algebraic number by algebraic numbers. [PDF]

Michigan Mathematical Journal, 1986
Die Verff. wenden eine in zwei früheren Arbeiten [vgl. \textit{E. Bombieri}, Acta Math. 148, 255-296 (1982; Zbl 0505.10015) und Verff., J. Reine Angew. Math. 342, 173-196 (1983; Zbl 0516.10024)] entwickelte Methode an, um eine algebraische Zahl durch algebraische Zahlen aus einem passenden reellen algebraischen Zahlkörper effektiv abzuschätzen.
Bombieri, E., Mueller, J.
openaire   +3 more sources

Algebraic structures with unbounded Chern numbers

, 2016
We determine all Chern numbers of smooth complex projective varieties of dimension at least four which are determined up to finite ambiguity by the underlying smooth manifold.
Schreieder, Stefan, Tasin, Luca
core   +1 more source

A Hodge Theory-Driven Quantum Mapping Between Calabi-Yau Manifolds and Nuclear Topology: First-Principles Derivation and Experimental Verification [PDF]

Physics Access
This study adopts Hodge theory as a rigorous mathematical framework to construct a quantitative mapping system between the high-dimensional topological invariants of CalabiYau (CY) manifolds and nuclear physics parameters, thereby establishing a strict ...
Yang Ou, Wenming Sun
doaj   +1 more source

The algebraic numbers definable in various exponential fields [PDF]

Journal of the Institute of Mathematics of Jussieu, 2011
We prove the following theorems. Theorem 1: for any E-field with cyclic kernel, in particular ℂ or the Zilber fields, all real abelian algebraic numbers are pointwise definable.
Jonathan Kirby, A. Macintyre, Alf Onshuus   +2 more
semanticscholar   +1 more source

Algebraic winding numbers

Journal of Algebra
In this paper, we propose a new algebraic winding number and prove that it computes the number of complex roots of a polynomial in a rectangle, including roots on edges or vertices with appropriate counting. The definition makes sense for the algebraic closure C = R[i] of a real closed field R, and the root counting result also holds in this case.
Perrucci, Daniel, Roy, Marie-Françoise
openaire   +4 more sources