Results 1 to 10 of about 794 (137)
Higher-Order Interactions and Their Duals Reveal Synergy and Logical Dependence beyond Shannon-Information [PDF]
Entropy, 2023 Information-theoretic quantities reveal dependencies among variables in the structure of joint, marginal, and conditional entropies while leaving certain fundamentally different systems indistinguishable. Furthermore, there is no consensus on the correct
Abel Jansma
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Monotone, free, and boolean cumulants: A shuffle algebra approach [PDF]
Advances in Mathematics, 2018 final ...
Kurusch Ebrahimi-Fard +1 more
exaly +4 more sources
A pipeline for megahertz X‐ray photon correlation spectroscopy on soft matter samples at the MID instrument of European XFEL [PDF]
Journal of Synchrotron Radiation, Volume 33, Issue 3, Page 725-738, May 2026.We present a standardized and highly automated pipeline for megahertz X‐ray photon correlation spectroscopy (MHz‐XPCS) on soft‐matter samples at the MID instrument of the European XFEL. The workflow addresses AGIPD petabyte‐scale data handling, detector‐artifact correction, correlation analysis and FAIR data output, enabling routine MHz‐XPCS with ...
Aliaksandr Leonau +30 more
wiley +2 more sources
Order, 2022 In \cite{BH20} an elegant choice-free construction of a canonical extension of a boolean algebra $B$ was given as the boolean algebra of regular open subsets of the Alexandroff topology on the poset of proper filters of $B$. We make this construction point-free by replacing the Alexandroff space of proper filters of $B$ with the free frame $\mathcal{L}$
G Bezhanishvili +2 more
exaly +5 more sources
Digital Circuit Design Utilizing Equation Solving over ‘Big’ Boolean Algebras [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2018 A task frequently encountered in digital circuit design is the solution of a two-valued Boolean equation of the form h(X,Y,Z)=1, where h: B_2^(k+m+n)→ B_2 and X,Y, and Z are binary vectors of lengths k, m, and n, representing inputs, intermediary values,
Ali Muhammad Ali Rushdi, Waleed Ahmad
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Free skew Boolean algebras [PDF]
International Journal of Algebra and Computation, 2016 We study the structure and properties of free skew Boolean algebras (SBAs). For finite generating sets, these free algebras are finite and we give their representation as a product of primitive algebras and provide formulas for calculating their cardinality.
Ganna Kudryavtseva, Jonathan Leech
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Control systems theory revisited: new insights on the brain clocks of time-to-action
Frontiers in Neuroscience, 2023 To outline the complex biological rhythms underlying the time-to-action of goal-oriented behavior in the adult brain, we employed a Boolean Algebra model based on Control Systems Theory.
Sari Goldstein Ferber +3 more
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The Algebraic Sets of Broad Algebras
Известия Иркутского государственного университета: Серия "Математика", 2020 The paper is devoted to the questions of algebraic geometry of universal algebras, more precisely, to the structures of algebraic sets of this algebras. It is introduced the concept of broad universal algebra.
A.G. Pinus
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Representing free Boolean algebras [PDF]
Fundamenta Mathematicae, 1992 Summary: Partitioner algebras are defined in [\textit{J. E. Baumgartner} and \textit{M. Weese}, Trans. Am. Math. Soc. 274, 619-630 (1982; Zbl 0515.03032)] and are natural tools for studying the properties of maximal almost disjoint families of subsets of \(\omega\).
Dow, Alan, Nyikos, Peter
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De Morgan Functions and Free De Morgan Algebras
Demonstratio Mathematica, 2014 It is commonly known that the free Boolean algebra on n free generators is isomorphic to the Boolean algebra of Boolean functions of n variables. The free bounded distributive lattice on n free generators is isomorphic to the bounded lattice of monotone ...
Movsisyan Yu. M. +2 more
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