Zobrazeno 1 - 10
of 2 076
pro vyhledávání: '"Two-element Boolean algebra"'
Autor:
Dominique Jeulin
Publikováno v:
Interdisciplinary Applied Mathematics ISBN: 9783030754518
Stochastic Geometry, Spatial Statistics and Random Fields ISBN: 9783319100630
Stochastic Geometry, Spatial Statistics and Random Fields ISBN: 9783319100630
The notion of Boolean random functions is considered which is a generalization of Boolean random closed sets. Their construction is based on the combination of a sequence of primary random functions by the operation ∨ (supremum) or ∧ (infimum), a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5454c436bf10ff6a8e3f98891f29a205
https://doi.org/10.1007/978-3-030-75452-5_9
https://doi.org/10.1007/978-3-030-75452-5_9
Publikováno v:
Fuzzy Sets and Systems. 332:78-92
We introduce and discuss duality operators on the set of binary extended Boolean functions, i.e., on the set of binary operations on the real interval [ 0 , 1 ] whose restrictions to Boolean inputs yield Boolean functions. These dualities have been d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dc3594a19f7222d08588fce12d64fab0
https://doi.org/10.1016/j.fss.2017.04.008
https://doi.org/10.1016/j.fss.2017.04.008
Autor:
A.N. Shurupov
Publikováno v:
Prikladnaya diskretnaya matematika. Prilozhenie. :56-59
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1731f5bcad2031c88b11f962f6159225
https://doi.org/10.17223/2226308x/10/24
https://doi.org/10.17223/2226308x/10/24
Publikováno v:
Eastern-European Journal of Enterprise Technologies. 4:50-62
Application of neuromorphic structures in various spheres of human activity on the basis of generalized neural elements will become possible if effective methods for verifying realizability of the logic algebra functions by one neuron element with a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3449669e46419e6aeb5fea5023abb5ed
https://doi.org/10.15587/1729-4061.2017.108404
https://doi.org/10.15587/1729-4061.2017.108404
Autor:
Mirko Navara
Publikováno v:
International Journal of Theoretical Physics. 56:4126-4132
We correct a mistake in the description of orthoalgebras as pastings of Boolean algebras. We present a corrected structural theorem.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f2a748276e84d864c0b5c7acf9117db9
https://doi.org/10.1007/s10773-017-3479-3
https://doi.org/10.1007/s10773-017-3479-3
Autor:
Xian-Da Zhang, Yanyi Rao
Publikováno v:
IEEE Transactions on Neural Networks and Learning Systems. 28:1542-1549
In this paper, we present a novel approach for studying Boolean function in a graph-theoretic perspective. In particular, we first transform a Boolean function $f$ of $n$ variables into an induced subgraph $H_{f}$ of the $n$ -dimensional hypercube, a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1b898d7ce116cfedecdcb997a87c0e3b
https://doi.org/10.1109/tnnls.2016.2542205
https://doi.org/10.1109/tnnls.2016.2542205
Autor:
ChristianPosthoff, BerndSteinbach
Publikováno v:
Synthesis Lectures on Digital Circuits and Systems. 12:1-215
The Boolean Differential Calculus (BDC) is a very powerful theory that extends the basic concepts of Boolean Algebras significantly. Its applications are based on Boolean spaces 𝔹 and 𝔹ⁿ, Boolean operations, and basic structures such as Boole
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9ff66bc9f3a387773feee383be107557
https://doi.org/10.2200/s00766ed1v01y201704dcs052
https://doi.org/10.2200/s00766ed1v01y201704dcs052
Autor:
Aleksandr V. Chashkin
Publikováno v:
Discrete Mathematics and Applications. 27:137-142
We consider average-case complexity of computing monotone Boolean functions by straight-line programs with a conditional stop over the basis of all Boolean functions of at most two variables. For the set of all n-ary monotone Boolean functions new Sh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9287b275db615691bf4efa968d8a9a16
https://doi.org/10.1515/dma-2017-0017
https://doi.org/10.1515/dma-2017-0017
Autor:
A. V. Chashkin
Publikováno v:
Moscow University Mathematics Bulletin. 72:102-106
The mean computing time for computation of values of Boolean operators by straight-line programs with a conditional stop and the storage of at most D is studied. An asymptotically exact formula for the mean computation time is obtained for growing nu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c3fcea0799f14d6a7a055e0452954eeb
https://doi.org/10.3103/s0027132217030032
https://doi.org/10.3103/s0027132217030032
Publikováno v:
Journal of Discrete Mathematical Sciences and Cryptography. 20:725-745
In this paper, a Boolean determinant is introduced, and some properties of the determinants are discussed in Boolean algebra. Next, applying with the properties of characteristic determinant of directed graph, a new Hamiltonian-cycles decision theore
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::664b7b6adcbc099af8561ca38fdb05c6
https://doi.org/10.1080/09720529.2016.1226618
https://doi.org/10.1080/09720529.2016.1226618