Results 51 to 60 of about 788,130 (111)

Development of Linear Diophantine Fuzzy Z‐Number Aczel–Alsina Aggregation Operators and Their Use in a Hybrid MCDM Framework for Medical Diagnosis

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
A linear Diophantine Z‐number Aczel–Alsina t‐norm operator is implemented for solving a linear Diophantine Z‐number problem, along with explaining its reliability, along with the solution derived. Some basic mathematical characteristics of the introduced operator, such as monotonicity, boundedness, and homogeneity, are rigorously deduced mathematically
Muhammad Umar Mirza, Rukhshanda Anjum, Rabia Ali, Teeda Njie, Fernando Bobillo   +4 more
wiley   +1 more source

Approximating good simultaneous Diophantine approximations is almost NP-hard [PDF]

, 1996
Given a real vector α=(α1,..., α d ) and a real number e>0 a good Diophantine approximation to α is a number Q such that ∥Qα mod ℤ∥∞ ≤e, where ∥ · ∥∞ denotes the l∞-norm ∥x∥t8 ≔ max1 ≤i≤d ¦ xi¦ for x=(x1,..., xd).
Rössner, Carsten, Seifert, Jean-Pierre
openaire   +1 more source

Riemann P-scheme, monodromy and diophantine approximations [PDF]

, 2012
We study the Padé approximations of first and second kinds of families of so-called Lerch functions. They can be efficiently determined by using ideas of Riemann and Chudnovsky on the monodromy of rigid systems of differential equations.
Huttner, Marc
core   +1 more source

Strong characterizing sequences in simultaneous diophantine approximation

Journal of Number Theory, 2003
In this paper, it is proved that: if \(1,\alpha_1,\dots, \alpha_t\in\mathbb{R}\) are linearly independent over the rationals, there is a subset \(A\subset\mathbb{N}\), \(| A|=\infty\), such that \(\sum_{n\in A}\| n\beta\|\) is finite if and only if \(\beta\in G\), the group generated by \(1,\alpha_1,\dots, \alpha_t\).
Biró, András, T. Sós, Vera
openaire   +2 more sources

Simultaneous Diophantine Approximation and Asymptotic Formulae on Manifolds

Journal of Number Theory, 1996
Let \(\psi(q) \in \mathbb{N}\) for \(q=1, 2, 3, \dots\) be decreasing such that for some \(k \in \mathbb{N}\) the series \(\sum\psi(q)^k\) is divergent. As a slight variation of Khintchine's theorem on simultaneous diophantine approximation, it is known that, for almost all \((x_1, \dots, x_k) \in\mathbb{R}^k\) there are infinitely many solutions of ...
Dodson, M.M., Rynne, B.P., Vickers, J.A.G.   +2 more
openaire   +2 more sources

Hilbert bases of cones related to simultaneous Diophantine approximations and linear Diophantine equations

, 1997
This paper investigates properties of the minimal integral solutions of a linear diophantine equation. We present best possible inequalities that must be satisfied by these elements which improves on former results.
Weismantel, Robert, Henk, Martin
core   +1 more source

Unification of the Nature's Complexities via a Matrix Permanent-Critical Phenomena, Fractals, Quantum Computing, ♯P-Complexity. [PDF]

Entropy (Basel), 2020
Kocharovsky V, Kocharovsky V, Tarasov S.
europepmc   +1 more source

Simultaneous Diophantine Approximations and a Conjecture of Minkowski

, 2006
This is an introductory expository lecture of elementary level. We start with a brief overview of some classical results in Diophantine approximations, such as Dirichlet\u27s theorem.
Fukshansky, Lenny
core   +1 more source

Diophantine Approximation on a Circle

, 2009
The original problem of Diophantine approximation, which goes back to the famous 1842 theorem of Dirichlet, is that of approximating real numbers by rationals with controlled denominators.
Fukshansky, Lenny
core   +1 more source

Diophantine Approximations

Tema ovog rada su diofantske aproksimacije. Na početku rada upoznajemo se s problemom aproksimacije iracionalnih brojeva racionalnim te ga proučavamo kroz Dirichletov teorem.
Kurtović, Dora
core   +3 more sources