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Decompositions of amplituhedra [PDF]
Annales de l’Institut Henri Poincaré D, Combinatorics, Physics and their Interactions, 2020 The (tree) amplituhedron \mathcal{A}_{n,k,m} is the image in the Grassmannian \mathrm {Gr}_{k,k+m} of the totally nonnegative Grassmannian \mathrm {Gr}_{k,n}^{\geq 0} ,
Yan X Zhang +2 more
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International Journal of Modern Physics A, 2008 Sector decomposition is a constructive method to isolate divergences from parameter integrals occurring in perturbative quantum field theory. We explain the general algorithm in detail and review its application to multiloop Feynman parameter integrals as well as infrared divergent phase-space integrals over real radiation matrix elements.
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Decomposition of Congruence Modular Algebras into Atomic, Atomless Locally Uniform and Anti-Uniform Parts [PDF]
, 2016 We describe here a special subdirect decomposition of algebras with modular congruence lattice. Such a decomposition (called a star-decomposition) is based on the properties of the congruence lattices of algebras. We consider four properties of lattices:
Staruch, Bogdan, Staruch, Bożena
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Automorphisms of decompositions [PDF]
Mathematica Slovaca, 2016 Abstract In [HARDING, J.: Decompositions in quantum logic, Trans. Amer. Math. Soc. 348 (1996), 1839–1862] the author showed that the direct product decompositions of many different types of structures, such as sets, groups, vector spaces, topological spaces, and relational structures, naturally form orthomodular posets.
John Harding, Tim Hannan
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On the decomposition of forces
Theoretical and Applied Mechanics Letters, 2014 We show that any continuously differentiable force is decomposed into the sum of a Rayleigh force and a gyroscopic force. We also extend this result to piecewise continuously differentiable forces. Our result improves the result on the decomposition of forces in a book by David Merkin and further extends it to piecewise continuously differentiable ...
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Hyperspectral image compression : adapting SPIHT and EZW to Anisotropic 3-D Wavelet Coding [PDF]
, 2008 Hyperspectral images present some specific characteristics that should be used by an efficient compression system. In compression, wavelets have shown a good adaptability to a wide range of data, while being of reasonable complexity.
Christophe, Emmanuel +2 more
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Alcohol consumption patterns of the Hungarian general and Roma populations
Frontiers in Public Health, 2023 IntroductionHarmful alcohol use is a significant public health problem worldwide, though the alcohol-related burden affects disproportionately certain populations and ethnic minorities, with the WHO European Region being the most heavily affected and ...
Ali Abbas Mohammad Kurshed +9 more
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On Gauge-Invariant Decomposition of Nucleon Spin
, 2010 We investigate the relation between the known decompositions of the nucleon spin into its constituents, thereby clarifying in what respect they are common and in what respect they are different essentially.
Feynman R P +5 more
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International Journal of Modern Physics A, 2019 In this paper we discuss gauging one-form symmetries in two-dimensional theories. The existence of a global one-form symmetry in two dimensions typically signals a violation of cluster decomposition — an issue resolved by the observation that such theories decompose into disjoint unions, a result that has been applied to, for example, Gromov–Witten ...
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Sequential Relational Decomposition [PDF]
Logical Methods in Computer Science, 2018 The concept of decomposition in computer science and engineering is considered a fundamental component of computational thinking and is prevalent in design of algorithms, software construction, hardware design, and more. We propose a simple and natural formalization of sequential decomposition, in which a task is decomposed into two sequential sub ...
Fried, Dror +4 more
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