Results 21 to 30 of about 4,554,873 (311)

Boolean Differential Operators

open access: yes, 2012
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
openaire   +3 more sources

CALCULATION OF THE MINIMUM DEGREE OF A POLYNOMIAL OVER A FINITE FIELD FOR A VECTOR BOOLEAN MAP GIVEN IN ANF

open access: yesСовременные информационные технологии и IT-образование, 2019
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
doaj   +1 more source

A GPU-Based Rasterization Algorithm for Boolean Operations on Polygons

open access: yesIEICE Trans. Inf. Syst., 2018
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
semanticscholar   +1 more source

Hierarchies of resources for measurement-based quantum computation

open access: yesNew Journal of Physics, 2023
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
doaj   +1 more source

PolygonTailor: A Parallel Algorithm for Polygon Boolean Operations in IC Layout Processing

open access: yesAlgorithms
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
doaj   +1 more source

A Method for Determining the Affine Equivalence of Boolean Functions

open access: yesIEEE Access, 2019
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
doaj   +1 more source

Rough operations on Boolean algebras [PDF]

open access: yesInformation Sciences, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qi, G., Liu, Weiru
openaire   +1 more source

Brownian reservoir computing realized using geometrically confined skyrmion dynamics

open access: yesNature Communications, 2022
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
doaj   +1 more source

Boolean differential operators

open access: yesTURKISH JOURNAL OF MATHEMATICS, 2018
18 páginas, 1 ...
Hernández Encinas, Luis   +1 more
openaire   +2 more sources

Linear operators that preserve Boolean rank of Boolean matrices [PDF]

open access: yesCzechoslovak Mathematical Journal, 2013
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
openaire   +2 more sources

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