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Global Repeat Map (GRM) Application: Finding All DNA Tandem Repeat Units
Algorithms, 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
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Abstract 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
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On the multiplicative group generated by {[√2 n]/n | n∈ℕ}. V [PDF]
Notes 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
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Quasipolynomial formulas for the Kronecker coefficients indexed by two two―row shapes (extended abstract) [PDF]
Discrete 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
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AI and Writing Skills: Students' Attitudes towards Using AI to Enhance their Writing Based on the Example of Algebra University Students [PDF]
Interdisciplinary Description of Complex SystemsThe 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
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On the minimal distance of a polynomial code [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 special issue in honor of Laci Babai's 60th birthday: Combinatorics, Groups, Algorithms, and ...
Peter Pal Pach, Csaba Szabo
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, 2010 Hom-Akivis algebras are introduced. The commutator-Hom-associator algebra of a non-Hom-associative algebra (i.e. a Hom-nonassociative algebra) is a Hom-Akivis algebra.
Issa, A. Nourou
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Omni-Lie 2-algebras and their Dirac structures [PDF]
, 2011 We introduce the notion of omni-Lie 2-algebra, which is a categorification of Weinstein's omni-Lie algebras. We prove that there is a one-to-one correspondence between strict Lie 2-algebra structures on 2-sub-vector spaces of a 2-vector space $\V$ and ...
Baez +14 more
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Taqī al-Dīn al-Rasid and His Treatise on Algebra Mathematical Evaluation, Translation, and Editio Princeps [PDF]
Nazariyat: 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
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A new model of the free monogenic digroup
Математичні Студії, 2023 It is well-known that one of open problems in the theory of Leibniz algebras is to find a suitable generalization of Lie’s third theorem which associates a (local) Lie group to any Lie algebra, real or complex. It turns out, this is related to finding an
Yu. V. Zhuchok, G. F. Pilz
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