Results 31 to 40 of about 1,137 (186)
The Equivalent Standard Forms of a Class of Tropical Matrices and Centralizer Groups
MathematicsIn this paper, the equivalent standard forms of tropical idempotent strongly definite matrices are introduced. In particular, the observation of the equivalent standard forms of tropical idempotent normal matrices is given.
Yanliang Cheng
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Chimera state in coupled map lattice of matrices
Lietuvos Matematikos Rinkinys, 2021 In recent years, a lot of research has focused on understanding the behavior of when synchronous and asynchronous phases occur, that is, the existence of chimera states in various networks.
Kotryna Mačernytė, Rasa Šmidtaitė
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CoRR, 2013 Together with a characteristic function, idempotent permutations uniquely determine idempotent maps, as well as their linearly ordered arrangement simultaneously. Furthermore, in-place linear time transformations are possible between them. Hence, they may be important for succinct data structures, information storing, sorting and searching.
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On Discrete Idempotent Paths [PDF]
, 2019 The set of discrete lattice paths from (0, 0) to (n, n) with North and East steps (i.e. words w $\in$ { x, y } * such that |w| x = |w| y = n) has a canonical monoid structure inherited from the bijection with the set of join-continuous maps from the chain { 0, 1,. .. , n } to itself.
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On the automorphisms of the power semigroups of a numerical semigroup
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract If H$H$ is a numerical semigroup (i.e., a cofinite subset of the non‐negative integers closed under addition), then the collection of all non‐empty subsets of H$H$ forms a semigroup P(H)$\mathcal {P}(H)$ under the sumset operation induced by addition in H$H$.
Salvatore Tringali, Kerou Wen
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Pentagonal quasigroups, their translatability and parastrophes
Open Mathematics, 2021 Any pentagonal quasigroup QQ is proved to have the product xy=φ(x)+y−φ(y)xy=\varphi \left(x)+y-\varphi (y), where (Q,+)\left(Q,+) is an Abelian group, φ\varphi is its regular automorphism satisfying φ4−φ3+φ2−φ+ε=0{\varphi }^{4}-{\varphi }^{3}+{\varphi }^
Dudek Wieslaw A., Monzo Robert A. R.
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Product preservation and stable units for reflections into idempotent subvarieties [PDF]
Categories and General Algebraic Structures with Applications, 2020 We give a necessary and sufficient condition for the preservation of finite products by a reflection of a variety of universal algebras into an idempotent subvariety.
Isabel A. Xarez, Joao J. Xarez
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Advances in large DNA fragment assembly for microbial cell factory engineering
Quantitative Biology, Volume 14, Issue 3, September 2026.Abstract The efficient, rapid, and reliable assembly of DNA fragments is essential for advancing metabolic engineering and synthetic biology. With the rapid advancement of DNA synthesis and assembly technologies, the scale of DNA assembly has expanded from single genes to metabolic pathways and even genomes.
Yu Zhang +5 more
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The Annals of Mathematical Statistics, 1966 The author introduces a lemma to prove rather special theorems on the independence of quadratic forms.
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Technologies for engineering repetitive DNA
Quantitative Biology, Volume 14, Issue 3, September 2026.Abstract Repetitive DNA, a fundamental architectural element of genomes, is widespread across organisms and comprises about 54% of the human genome. With advances in long‐read sequencing and bioinformatics approaches, highly repetitive sequences can now be characterized in depth.
Shuting Ma, Yali Cui, Yi Wu
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