| 期刊全称 | Boolean Differential Calculus | | 影响因子2023 | Bernd Steinbach,Christian Posthoff | | 视频video | http://file.papertrans.cn/190/189776/189776.mp4 | | 学科分类 | Synthesis Lectures on Digital Circuits & Systems | | 图书封面 |  | | 影响因子 | 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 ���� 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 | | Pindex | Book 2017 |
| 1 |
Front Matter |
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Abstract
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| 2 |
,Introduction, |
Bernd Steinbach,Christian Posthoff |
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Abstract
Boolean (two-valued, dual, binary) systems have a long history and tradition in science and technology. In our daily life we normally meet the decimal number system that uses ten digits which get their meaning in a number based on powers of 10. The representation by means of dual numbers only needs two digits 0 and 1. Instead of the powers of 10 now powers of 2 are taken into consideration.
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| 3 |
,Basics of Boolean Structures, |
Bernd Steinbach,Christian Posthoff |
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Abstract
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| 4 |
,Derivative Operations of Boolean Functions, |
Bernd Steinbach,Christian Posthoff |
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Abstract
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| 5 |
,Derivative Operations of Lattices of Boolean Functions, |
Bernd Steinbach,Christian Posthoff |
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Abstract
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| 6 |
,Differentials and Differential Operations, |
Bernd Steinbach,Christian Posthoff |
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Abstract
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| 7 |
,Applications, |
Bernd Steinbach,Christian Posthoff |
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Abstract
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| 8 |
,Solutions of the Exercises, |
Bernd Steinbach,Christian Posthoff |
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Abstract
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| 9 |
Back Matter |
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Abstract
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