Results 41 to 50 of about 380,214 (319)
An Application of Total-Colored Graphs to Describe Mutations in Non-Mendelian Genetics
Any gene mutation during the mitotic cell cycle of a eukaryotic cell can be algebraically represented by an isotopism of the evolution algebra describing the genetic pattern of the inheritance process.
Raúl M. Falcón +2 more
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Boundedness of Multidimensional Dunkl-Hausdorff Operators
In the present paper, we introduce the multidimensional Dunkl-Hausdorff operator ℋκ and we give simple sufficient conditions so that these operators be bounded on the weighted lebesgue spaces Lκpℝn and in the Hardy space Hκ1ℝn associated with the Dunkl ...
Radouan Daher, Faouaz Saadi
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One of the most significant breakthroughs in physics of the last decade has been the discovery that materials with non-trivial topological properties for electronic, electromagnetic, acoustic and mechanical responses can be designed and manufactured at our will through engineered metamaterials (MMs).
Xiang Ni +3 more
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We introduce the notion of a topological symmetry as a quantum mechanical symmetry involving a certain topological invariant. We obtain the underlying algebraic structure of the ℤ2-graded uniform topological symmetries of types (1, 1) and (2, 1). This leads to a novel derivation of the algebras of supersymmetry and p = 2 parasupersymmetry.
Mostafazadeh, A., Samani, K. Aghababaei
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From Trees to Barcodes and Back Again: Theoretical and Statistical Perspectives
Methods of topological data analysis have been successfully applied in a wide range of fields to provide useful summaries of the structure of complex data sets in terms of topological descriptors, such as persistence diagrams.
Lida Kanari, Adélie Garin, Kathryn Hess
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Composite Topological Objects in Topological Superfluids [PDF]
Superfluid phases of $^3$He discovered in 1972 opened the new area of the application of topological methods to condensed matter systems. Due to the multi-component order parameter which characterizes the broken $SO(3)\times SO(3)\times U(1)$ symmetry in these phases, there are many inhomogeneous objects -- textures and defects in the order parameter ...
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Topological photonics is a rapidly emerging field of research in which geometrical and topological ideas are exploited to design and control the behavior of light. Drawing inspiration from the discovery of the quantum Hall effects and topological insulators in condensed matter, recent advances have shown how to engineer analogous effects also for ...
Ozawa, Tomoki +10 more
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The aim of this paper is to establish the existence of at least three weak solutions for the following elliptic Neumann problem {-Δp→(x)u+α(x)|u|p0(x)-2u=λf(x,u)inΩ,∑i=1N|∂u∂xi|pi(x)-2∂u∂xiγi=0on∂Ω,\left\{ {\matrix{ { - {\Delta _{\vec p\left( x \right)}}
Ahmed Ahmed +1 more
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Topological Algebras and Mackey Topologies [PDF]
Let E be a locally m-convex algebra with dual space E ′ E’ . In a recent paper S. Warner asked if the finest locally m-convex topology on E compatible with E ′ E’ was the mackey topology. It is shown that this is not the case.
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Dilemmas and countermeasures of Fe-based biomaterials for next-generation bone implants
Fe-based biodegradable materials as next-generation bone implants attract considerable attentions due to outstanding mechanical properties and favorable biocompatibility.
Sheng Li +6 more
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