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On computable numberings of families of Turing degrees
In this work, we study computable families of Turing degrees introduced and first studied by Arslanov and their numberings. We show that there exist...
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Moore on Degrees of Responsibility
In his latest book Mechanical Choices , Michael Moore provides an explication and defence of the idea that responsibility comes in degrees. His...
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On Character Degrees and Codegrees
In this paper, we study two open questions raised by Qian about the relations of character degrees and codegrees. We settle one completely and...
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On Searching for Minimal Integer Representation of Undirected Graphs
Minimal and efficient graph representations are key to store, communicate, and sample the search space of graphs and networks while meeting... -
The Minimal Cremona Degree of Quartic Surfaces
Two birational projective varieties in \(\mathbb {P}^n\) are Cremona... -
New dynamical degrees of freedom from invertible transformations
We show that invertible transformations of dynamical variables can change the number of dynamical degrees of freedom. Moreover, even in cases when...
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Other Degrees of Freedom
This chapter of Ilya Kuprov’s monograph is an overview of spatial and chemical dynamics in spin systems, including couplings to external quantum... -
Irreducible Representations of GLn(ℂ) of Minimal Gelfand–Kirillov Dimension
In this article, by studying the Bernstein degrees and Goldie rank polynomials, we establish a comparison between the irreducible representations of G ...
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On the degrees of freedom of R2 gravity in flat spacetime
We study the degrees of freedom of R 2 gravity in flat spacetime with two approaches. By rewriting the theory a la Stueckelberg, and implementing...
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Spin operator, Bell nonlocality and Tsirelson bound in quantum-gravity induced minimal-length quantum mechanics
Different approaches to quantum gravity converge in predicting the existence of a minimal scale of length. This raises the fundamental question as to...
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Methods and Questions in Character Degrees of Finite Groups
We present some variations on some of the main open problems on character degrees. We collect some of the methods that have proven to be very useful...
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Integrating Multicellular Systems: Physiological Control and Degrees of Biological Individuality
This paper focuses on physiological integration in multicellular systems, a notion often associated with biological individuality, but which has not...
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Structures of Degrees of Negative Representations of Linear Orders
The structures of partially ordered sets of degrees of negative and positive representability of linear orders are studied. The focus is on the...
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Families of Permutations and Ideals of Turing Degrees
Families 𝒫 I consisting of permutations of the natural numbers ω whose degrees belong to an ideal I of Turing degrees, as well as their jumps
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Minimal measures beyond Mather
For a positive definite Lagrangian, the minimal measure was defined in terms of first homology or cohomology class. For a configuration manifold that...
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The minimal weak gravity conjecture
We examine the minimal constraints imposed by the Weak Gravity Conjecture (WGC) on the particle spectrum of a quantum gravity theory. Towers of...
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Morphological characteristics of in-stent restenosis with different degrees of area stenosis: an optical coherence tomography study
The morphological characteristics of in-stent restenosis (ISR) in relation to varying degrees of area stenosis have not been comprehensively...
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Programming the Minimal Model Program: a proposal
The aim of this paper is to propose a strategy to implement the Minimal Model Program in modern computer algebra systems.
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Nanoscale feedback control of six degrees of freedom of a near-sphere
Manipulating the rotational as well as the translational degrees of freedom of rigid bodies has been a crucial ingredient in diverse areas, from...