Results 121 to 130 of about 22,960 (196)

Is there a computable upper bound for the height of a solution of a Diophantine equation with a unique solution in positive integers?

Open Computer Science, 2017
Let Bn = {xi · xj = xk : i, j, k ∈ {1, . . . , n}} ∪ {xi + 1 = xk : i, k ∈ {1, . . . , n}} denote the system of equations in the variables x1, . . . , xn. For a positive integer n, let _(n) denote the smallest positive integer b such that for each system
Tyszka Apoloniusz
doaj   +1 more source

Almost all Diophantine sets are undecidable

International Mathematical Forum, 2017
The known 1970 solution to the 10th Hilbert problem says that no algorithm is possible that would decide whether a given Diophantine equation has a solution. In set terms, this means that not all Diophantine sets are decidable. In a posting to the Foundations of Mathematica mailing list, Timothy Y.
openaire   +2 more sources

Topology of Diophantine Sets: Remarks on Mazur's Conjectures

, 2000
We show that Mazur's conjecture on the real topology of rational points on varieties implies that there is no diophantine model of the rational integers in the rational numbers. We also prove that there is a diophantine model of the polynomial ring over a finite field in the ring of rational functions over that finite field.
Cornelissen, G., Zahidi, K.
openaire   +3 more sources

An Extensive Review of the Literature Using the Diophantine Equations to Study Fuzzy Set Theory

International Journal of Mathematics and Mathematical Sciences
Every field in mathematics has made significant progress in research with fuzzy sets. Numerous application fields were discovered in both empirical and theoretical investigations, ranging from information technology to medical technology, from the ...
K. M. Abirami, Narayanan Veena, R. Srikanth, P. Dhanasekaran   +3 more
doaj   +1 more source

Diophantine sets over polynominal rings

Illinois Journal of Mathematics, 1963
Davis, Martin, Putnam, Hilary
openaire   +3 more sources

Linear Diophantine HyperFuzzy Set and SuperHyperFuzzy Set

Uncertainty modeling underpins decision-making across diverse domains, and numerous frameworks—such as Fuzzy Sets [1, 2], Rough Sets [3, 4], Hesitant Fuzzy Sets [5, 6], and Plithogenic Sets [7, 8]—have been developed to capture different facets of imprecision.
openaire   +1 more source

The approximate functional equation of some Diophantine series. [PDF]

Mon Hefte Math, 2023
Chamizo F, Martin B.
europepmc   +1 more source

Exceptional Sets in Dynamical Systems and Diophantine Approximation

, 2002
The nature and origin of exceptional sets associated with the rotation number of circle maps, Kolmogorov-Arnol'd-Moser theory on the existence of invariant tori and the linearisation of complex diffeomorphisms are explained. The metrical properties of these exceptional sets are closely related to fundamental results in the metrical theory of ...
openaire   +2 more sources

UHRMS Formula Assignment: Diophantine-Based Recalibration Yields Lorentzian Mass Error Distribution as the Limiting Factor. [PDF]

J Am Soc Mass Spectrom
Safaridehkohneh N, Ott A.
europepmc   +1 more source

Analysis of anti-cancer treatment therapies based on TOPSIS method under fractional Diophantine fuzzy Muirhead mean operators. [PDF]

Sci Rep
Qadir A, Abdullah S, Rahimzai AA, Khan S.   +3 more
europepmc   +1 more source