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Algebraic frames in which dense elements are above dense compact elements
A ring is called a zip ring (Carl Faith coined this term) if every faithful ideal contains a finitely generated faithful ideal. By first proving that...
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Local systems with quasi-unipotent monodromy at infinity are dense
We show that complex local systems with quasi-unipotent monodromy at infinity over a normal complex variety are Zariski dense in their moduli.
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Intersecting and dense restrictions of clutters in polynomial time
A clutter is a family of sets, called members, such that no member contains another. It is called intersecting if every two members intersect, but...
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Bounding the Chromatic Number of Dense Digraphs by Arc Neighborhoods
The chromatic number of a directed graph is the minimum number of induced acyclic subdigraphs that cover its vertex set, and accordingly, the...
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A Zariski dense exceptional set in Manin’s Conjecture: dimension 2
Recently, Lehmann, Sengupta, and Tanimoto proposed a conjectural construction of the exceptional set in Manin’s Conjecture, which we call the...
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Extensions of Functions with a Closed Graph and Quasi-continuous Functions with a Closed Graph from Dense Subspaces
In this paper, we prove some conditions for existence of an extension of a real (quasi-continuous) function with a closed graph defined on a given...
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RETRACTED ARTICLE: Design of extended dense coding protocol strategy based on combinatorial optimization
For the strategy of expanding dense coding protocols, firstly, a high-dimensional Hadamard matrix and CNOT gate are designed, and the encryption and...
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On fraction-dense algebraic frames
We abstract the notion of fraction-density of f -rings (introduced by Anthony Hager and Jorge Martínez) to algebraic frames. We say an algebraic frame...
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Efficient Algorithms for the Dense Packing of Congruent Circles Inside a Square
We study dense packings of a large number of congruent non-overlap** circles inside a square by looking for configurations which maximize the...
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Constructions of Simple Kinetic Equations for a Dense Gas
Constructions of simple kinetic equations for a dense gas are presented, with a special emphasis on a couple of modelling based on the...
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Automatic continuity of dense range n-homomorphisms
In this paper, we investigate the automatic continuity of n -homomorphisms and n -Jordan homomorphisms between Banach algebras, and generalize some...
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Characters of solvable groups, Hilbert–Schmidt stability and dense periodic measures
We study the character theory of metabelian and polycyclic groups. It is used to investigate Hilbert–Schmidt stability via the character-theoretic...
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Higher-dimensional Calabi–Yau varieties with dense sets of rational points
We construct higher-dimensional Calabi–Yau varieties defined over a given number field with Zariski dense sets of rational points. We give two...