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Convergence of Mann and Ishikawa Iterative Processes for Some Contractions in Convex Generalized Metric Space

open access: yesAbstract and Applied Analysis, 2022
In this paper, we consider a JS metric space endowed with convexity structure, which will allow us to examine and study convergence of Mann iteration and Ishikawa iteration for Banach type and Chatterjea type contractions defined on JS metric space.
Youness El Kouch, Jamal Mouline
doaj   +1 more source

Global Repeat Map (GRM) Application: Finding All DNA Tandem Repeat Units

open access: yesAlgorithms, 2022
Tandem repeats (TRs) are important components of eukaryotic genomes; they have both structural and functional roles: (i) they form essential chromosome structures such as centromeres and telomeres; (ii) they modify chromatin structure and affect ...
Matko Glunčić   +3 more
doaj   +1 more source

On Free Completely Iterative Algebras [PDF]

open access: yes, 2020
For every finitary set functor F we demonstrate that free algebras carry a canonical partial order. In case F is bicontinuous, we prove that the cpo obtained as the conservative completion of the free algebra is the free completely iterative algebra ...

core   +1 more source

Quasipolynomial formulas for the Kronecker coefficients indexed by two two―row shapes (extended abstract) [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2009
We show that the Kronecker coefficients indexed by two two―row shapes are given by quadratic quasipolynomial formulas whose domains are the maximal cells of a fan.
Emmanuel Briand   +2 more
doaj   +1 more source

AI and Writing Skills: Students' Attitudes towards Using AI to Enhance their Writing Based on the Example of Algebra University Students [PDF]

open access: yesInterdisciplinary Description of Complex Systems
The advent of publicly available AI in the last years has resulted in a major paradigm shift. Its use is starting to pervade most fields and aspects of life – including the world of academia.
Martina Stadnik   +3 more
doaj   +1 more source

On the minimal distance of a polynomial code [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2011
special issue in honor of Laci Babai's 60th birthday: Combinatorics, Groups, Algorithms, and ...
Peter Pal Pach, Csaba Szabo
doaj   +1 more source

A $q$-analogue of derivations on the tensor algebra and the $q$-Schur-Weyl duality [PDF]

open access: yes, 2015
This paper presents a $q$-analogue of an extension of the tensor algebra given by the same author. This new algebra naturally contains the ordinary tensor algebra and the Iwahori-Hecke algebra type $A$ of infinite degree.
Itoh, Minoru
core   +2 more sources

On the multiplicative group generated by {[√2 n]/n | n∈ℕ}. V [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics, 2023
Let f,g be completely multiplicative functions, |f(n)|=|g(n)|=1 (n∈ℕ). Assume that 1/logxΣₙ≤ₓ |g([√2n])-Cf(n)| / n →0 (x→∞). Then f(n)=g(n)=n^{iτ}, C=(√2)^{τ}, τ∈ℝ.
I. Kátai, B. M. Phong
doaj   +1 more source

The GraviGUT Algebra Is not a Subalgebra of $E_8$, but $E_8$ Does Contain an Extended GraviGUT Algebra [PDF]

open access: yes, 2014
The (real) GraviGUT algebra is an extension of the $\mathfrak{spin}(11,3)$ algebra by a $64$-dimensional Lie algebra, but there is some ambiguity in the literature about its definition. Recently, Lisi constructed an embedding of the GraviGUT algebra into
Douglas, Andrew, Repka, Joe
core   +4 more sources

Taqī al-Dīn al-Rasid and His Treatise on Algebra Mathematical Evaluation, Translation, and Editio Princeps [PDF]

open access: yesNazariyat: Journal for the History of Islamic Philosophy and Sciences, 2021
Taqī al-Dīn al-Rāṣid is one of the most important representatives of the Ottoman tradition on mathematical sciences. His research focus being on astronomy, astronomical instruments, mathematics, optics, mechanics, and physics is understood from his ...
Elif Baga
doaj   +1 more source

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