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Quantum Fibrations: Quantum Computation on an Arbitrary Topological Space
Using operator algebras, we extend the theory of quantum computation on a graph to a theory of computation on an arbitrary topological space. Quantum...
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New Existence Results for Evolutionary Quasi-Hemi-Variational Inequalities with Semi-monotone Maps and Applications to Optimal Control Problems
The paper presents new results for the existence of solutions for an evolutionary quasi-hemi-variational inequality, which involves a semi-monotone...
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Reducibility of Three Dimensional Skew Symmetric System with High Dimensional Weak Liouvillean Frequencies
In this paper, we consider the reducibility of three-dimensional skew symmetric systems. We obtain a reducibility result if the base frequency is...
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On Variational Principles of Metric Mean Dimension on Subsets in Feldman–Katok Metric
In this paper, we studied the metric mean dimension in Feldman–Katok (FK for short) metric. We introduced the notions of FK-Bowen metric mean...
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A Note on the Entropy for Heisenberg Group Actions on the Torus
In this paper, the entropy of discrete Heisenberg group actions is considered. Let α be a discrete Heisenberg group action on a compact metric space X. ...
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Some results on conjugacy class sizes of primary elements of a finite group
We establish results on the conjugacy class sizes of elements of of prime-power order in a finite group. On the way, we improve results by a number...
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Patterning strategies in grade 1 students with low and high number sense proficiency
Repeating patterning proficiency predicts students’ later mathematical proficiency. A comparative multi-case design enabled the present study to...
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Sliding method and one-dimensional symmetry for p-Laplace equations
Let f be a sign-changing locally Lipschitz continuous function which satisfies some mild assumptions. We show that every nonnegative solution to the...
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Novel formulas of moments of Negative Binomial distribution connected with Apostol-Bernoulli numbers of higher order and Stirling numbers
The main subject of this article is to present and reveal some new relationships between the moment generating functions of the Negative Binomial...
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Flocking of a Cucker–Smale Type Model with Compactly Supported Interaction Functions
How to analyze flocking behaviors of a multi-agent system with local interaction functions is a challenging problem in theory. Motsch and Tadmor in...
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Uncertainty Principles on Clifford Modules
In this paper, we derive the optimal Cauchy–Schwarz inequalities on a class of Hilbert and Krein modules over a Clifford algebra, which heavily...
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Uniqueness Problem for the Backward Differential Equation of a Continuous-State Branching Process
The distributional properties of a multi-dimensional continuous-state branching process are determined by its cumulant semigroup, which is defined by...
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Essentially Commuting Truncated Toeplitz Operators
A model space is a subspace of the Hardy space which is invariant under the backward shift, and a truncated Toeplitz operator is the compression of a...
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Boundary Behaviors for a Continuous-state Nonlinear Neveu’s Branching Process
By generalizing a criterion of Mufa Chen for Markov jump processes, we establish the necessary and sufficient conditions for the extinction,...
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Mathematics teaching, learning, and assessment in the digital age
The role of teaching, learning, and assessment with digital technology has become increasingly prominent in mathematics education. This survey paper...
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The Banach Fixed Point Theorem: selected topics from its hundred-year history
On June 24, 1920 Stefan Banach presented his doctoral dissertation titled O operacjach na zbiorach abstrakcyjnych i ich zastosowaniach do równañ...
