Generalised divisor sums of binary forms over number fields [PDF]
, 2016 Estimating averages of Dirichlet convolutions $1 \ast \chi$, for some real Dirichlet character $\chi$ of fixed modulus, over the sparse set of values of binary forms defined over $\mathbb{Z}$ has been the focus of extensive investigations in recent years,
Frei, Christopher, Sofos, Efthymios
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Alternative formulations to compute the binary shape Euler number
IET Computer Vision, 2014 The authors propose two equations based on the pixel geometry and connectivity properties, which can be used to compute, efficiently, the Euler number of a binary digital image with either thick or thin boundaries.
Juan Humberto Sossa Azuela +5 more
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Congruences for the Apéry numbers modulo p³ [PDF]
Notes on Number Theory and Discrete MathematicsLet {Aₙ'} be the Apéry numbers given by Aₙ'=\Σⁿₖ₌ₒ$binom{n}{k}$²$binom{n+k}{k}$. For any prime p≡3 (mod 4) we show that A'_{(p-1)/2}≡p²/3$binom{(p-3)/2}{(p-3)/4}$² (mod p³). Let {tₙ} be given by t₀=1, t₁=5 and tₙ₊₁=(8n²+12n+5)tₙ-4n²(2n+1)²tₙ₋₁ (n≥1).
Zhi-Hong Sun
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Modeling the travel distances of debris flows and debris slides: quantifying hillside morphology [PDF]
Annals of Forest Research, 2011 A travel distance model for debris flows and slides is presented based on information collected in southeast British Columbia, Canada. The model incorporates a variable that represents terrain morphology by a single number, quantification made using a ...
Bogdan Strimbu
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Complex Number Representation in RCBNS Form for Arithmetic Operations and Conversion of the Result into Standard Binary Form [PDF]
Journal of Systemics, Cybernetics and Informatics, 2004 paper introduces a novel method for complex number representation. The proposed Redundant Complex Binary Number System (RCBNS) is developed by combining a Redundant Binary Number and a complex number in base (-1+j).
Hatim Zaini, R. G. Deshmukh
doaj
Correlation properties of binary pseudorandom sequence based on residue number system
Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki, 2019 It proposed to synthesize the stochastic code structures based on residue number system, which allows to form ensembles with acceptable correlation properties, cryptographic difficulty level of formed ensembles, depending on key, and with any length of ...
V. S. Litvinov, D. M. Bildziuk
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On trees, tanglegrams, and tangled chains [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 Tanglegrams are a class of graphs arising in computer science and in biological research on cospeciation and coevolution. They are formed by identifying the leaves of two rooted binary trees. The embedding of the trees in the plane is irrelevant for this
Sara Billey +2 more
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Enumeration of Binary Trees and Universal Types [PDF]
Discrete Mathematics & Theoretical Computer Science, 2005 Binary unlabeled ordered trees (further called binary trees) were studied at least since Euler, who enumerated them. The number of such trees with n nodes is now known as the Catalan number.
Charles Knessl, Wojciech Szpankowski
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RepB C-terminus mutation of a pRi-repABC binary vector affects plasmid copy number in Agrobacterium and transgene copy number in plants. [PDF]
PLoS ONE, 2018 A native repABC replication origin from pRiA4b was previously reported as a single copy plasmid in Agrobacterium tumefaciens and can improve the production of transgenic plants with a single copy insertion of transgenes when it is used in binary vectors ...
Zarir Vaghchhipawala +7 more
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Simple binary segmentation frameworks for identifying variation in DNA copy number
BMC Bioinformatics, 2012 Background Variation in DNA copy number, due to gains and losses of chromosome segments, is common. A first step for analyzing DNA copy number data is to identify amplified or deleted regions in individuals.
Yang Tae Young
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