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008 220601s2017 sz | s |||| 0|eng d
020 _a9783031798924
024 7 _a10.1007/978-3-031-79892-4
_2doi
040 _aES-MaUEC
_bspa
_cES-MaUEC
_dES-MaUEC
050 4 _aQA304
_b2017 EB
100 1 _aSteinbach, Bernd
_eautor
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_9686481
245 1 0 _aBoolean Differential Calculus
_cby Bernd Steinbach, Christian Posthoff
250 _a1st edition 2017
264 1 _aCham
_bSpringer International Publishing
_c2017
300 _a1 recurso en línea (XII, 203 páginas)
336 _atexto
_btxt
_2rdacontent
337 _aelectrónico
_bc
_2rdamedia
338 _arecurso electrónico
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
490 0 _aSynthesis Lectures on Digital Circuits & Systems
_x1932-3174
505 0 _aIntroduction -- Basics of Boolean Structures -- Derivative Operations of Boolean Functions -- Derivative Operations of Lattices of Boolean Functions -- Differentials and Differential Operations -- Applications -- Solutions of the Exercises -- Bibliography -- Authors' Biographies -- Index.
520 _aThe 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 ���� and ����ⁿ, Boolean operations, and basic structures such as Boolean Algebras and Boolean Rings, Boolean functions, Boolean equations, Boolean inequalities, incompletely specified Boolean functions, and Boolean lattices of Boolean functions. These basics, sometimes also called switching theory, are widely used in many modern information processing applications. The BDC extends the known concepts and allows the consideration of changes of function values. Such changes can be explored for pairs of function values as well as for whole subspaces. The BDC defines a small number of derivative and differential operations. Many existing theorems are very welcome and allow new insights due to possible transformations of problems. The available operations of the BDC have been efficiently implemented in several software packages. The common use of the basic concepts and the BDC opens a very wide field of applications. The roots of the BDC go back to the practical problem of testing digital circuits. The BDC deals with changes of signals which are very important in applications of the analysis and the synthesis of digital circuits. The comprehensive evaluation and utilization of properties of Boolean functions allow, for instance, to decompose Boolean functions very efficiently; this can be applied not only in circuit design, but also in data mining. Other examples for the use of the BDC are the detection of hazards or cryptography. The knowledge of the BDC gives the scientists and engineers an extended insight into Boolean problems leading to new applications, e.g., the use of Boolean lattices of Boolean functions.
988 _aSynthesis Collection of Technology_2017
650 7 _2embne
_9139218
_aCálculo diferencial
650 7 _2embne
_9405096
_aBoole, Álgebra de
700 1 _aPosthoff, Christian
_eautor
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_9686482
776 0 8 _iPrinted edition:
_z9783031798917
776 0 8 _iPrinted edition:
_z9783031798931
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-031-79892-4
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942 _2lcc
_cLE
998 _b03/2023
_dz
_esc
_zSI