Results 21 to 30 of about 4,554,873 (311)
Boolean Differential Operators
We consider four combinatorial interpretations for the algebra of Boolean differential operators. We show that each interpretation yields an explicit matrix representation for Boolean differential operators.
Catumba, Jorge, Díaz, Rafael
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We consider vector mappings over the set of 0 and 1 given by the set of Boolean functions. Boolean functions included in the map are given in ANF. Having fixed the rule according to which the binary vectors are associated with the elements of a finite ...
Sergey A. Belov
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A GPU-Based Rasterization Algorithm for Boolean Operations on Polygons
This paper presents a new GPU-based rasterization algorithm for Boolean operations that handles arbitary closed polygons. We construct an efficient data structure for interoperation of CPU and GPU and propose a fast GPU-based contour extraction method to
Yi Gao +5 more
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Hierarchies of resources for measurement-based quantum computation
For certain restricted computational tasks, quantum mechanics provides a provable advantage over any possible classical implementation. Several of these results have been proven using the framework of measurement-based quantum computation (MBQC), where ...
Markus Frembs +3 more
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PolygonTailor: A Parallel Algorithm for Polygon Boolean Operations in IC Layout Processing
Polygon Boolean operations are widely used in integrated circuit (IC) layout processing tasks such as design rule checking (DRC) and optical proximity correction (OPC).
Zhirui Niu +5 more
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A Method for Determining the Affine Equivalence of Boolean Functions
Determining the affine equivalence of Boolean functions has significant applications in circuit and cryptography. Previous methods for determining this require a large amount of computation when Boolean functions are bent functions or when the truth ...
Ziyu Wang +3 more
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Rough operations on Boolean algebras [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qi, G., Liu, Weiru
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Brownian reservoir computing realized using geometrically confined skyrmion dynamics
Magnetic skyrmions, due to their strongly nonlinearity and multiscale dynamics, are promising for implementing reservoir computing. Here, the authors experimentally demonstrate skyrmion-based spatially multiplexed reservoir computing able to perform ...
Klaus Raab +7 more
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Boolean differential operators
18 páginas, 1 ...
Hernández Encinas, Luis +1 more
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Linear operators that preserve Boolean rank of Boolean matrices [PDF]
Let \(A,B,C\) be Boolean matrices such that \(A=BC\), and let \(k\) be the number of columns of \(B\) (equal to the number of rows of \(C\)). For given \(A\), the minimum \(k\) for which \(B,C\) exist is called the Boolean rank of \(A\). In [Linear Algebra Appl. 59, 55--77 (1984; Zbl 0536.20044)] \textit{L. B. Beasley} and \textit{N. J. Pullman} showed
Beasley, LeRoy B., Song, Seok-Zun
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