Two-dimensional Shannon type expansions via one-dimensional affine and wavelet lattice actions [PDF]
Colloquium Mathematicum, 2019 It is rather unexpected, but true, that it is possible to construct reproducing formulae and orthonormal bases of $L^2 (\mathbb{R}^2)$ just by applying the standard one dimensional wavelet action of translations and dilations to the first variable $x_1$ of the generating function $ (x_1,x_2)$, $ \in L^2 (\mathbb{R}^2)$, i.e., by making use of ...
Krzysztof Jan Nowak, Margit Pap
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An Efficient NPN Boolean Matching Algorithm Based on Structural Signature and Shannon Expansion [PDF]
, 2017 An efficient pairwise Boolean matching algorithm to solve the problem of matching single-output specified Boolean functions under input negation and/or input permutation and/or output negation (NPN) is proposed in this paper. We present the Structural Signature (SS) vector, which is composed of a 1st signature value, two symmetry marks, and a group ...
Juling Zhang +3 more
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Intestinal dysbiosis in critically ill patients: a case–control study of Enterobacteriaceae enrichment and reduced microbial diversity [PDF]
Frontiers in MedicineIntroductionCritical illness disrupts gut microbiota homeostasis, potentially exacerbating systemic inflammation and adverse outcomes. This study investigates gut dysbiosis patterns in ICU patients, with a focus on Enterobacteriaceae enrichment and ...
Dan Wang +6 more
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Implementation of Boolean Functions through Multiplexers with the help of Shannon Expansion Theorem
International Journal of Computer Applications, 2013 Implementation of Boolean function through multiplexer can be done by various multiplexers depending upon the select lines. Implementation of Boolean functions can be done by various methods, but in this particular paper stress is more on multiplexers.
Saurabh Rawat +2 more
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Scientific AfricanRapid urban expansion in developing countries has intensified land use and land cover (LULC) changes, resulting in significant environmental impacts that challenge sustainable urban development.
Betelhem Zemenu +3 more
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Integral representations and asymptotic expansions for Shannon and Renyi entropies
Applied Mathematics Letters, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Charles Knessl
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Spectral decomposition and high-accuracy Greens functions: Overcoming the Nyquist-Shannon limit via complex-time Krylov expansion [PDF]
5+8 pages, 2+1 ...
Sebastian Paeckel
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An efficient NPN Boolean matching algorithm based on structural signature and Shannon expansion [PDF]
Cluster Computing, 2018 An efficient pairwise Boolean matching algorithm for solving the problem of matching single-output specified Boolean functions under input negation and/or input permutation and/or output negation (NPN) is proposed in this paper. We present the structural signature (SS) vector, which comprises a first-order signature value, two symmetry marks, and a ...
Juling Zhang +4 more
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Dissimilarities of reduced density matrices and eigenstate thermalization hypothesis
Journal of High Energy Physics, 2017 We calculate various quantities that characterize the dissimilarity of reduced density matrices for a short interval of length ℓ in a two-dimensional (2D) large central charge conformal field theory (CFT).
Song He, Feng-Li Lin, Jia-ju Zhang
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Truncation Errors for Multi-Dimensional Whittaker-Shannon Sampling Expansion
Advances in Applied Mathematics, 2018 桐心 王
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