2.4 Boolean functions A Boolean function consists of a number of Boolean variables joined by the Boolean connectives AND and OR. For example f(A, B, C, D)=ABC¯+CD+B¯org(A, B, C, D)=(A+B+C
in-depth study of special classes of Boolean functions (quadratic, Horn, shellable, regular, threshold, read-once functions and their characterization by functional equations) and two fruitful generalizations of the concept of Boolean functions (partially defined functions and pseudo-Boolean functions)....
In Boolean equations, NOT has the highest precedence, followed by AND, then OR. Just as in ordinary equations, products are performed before sums. Therefore, the equation is read as Y = A OR (B AND C). Equation 2.1 gives another example of order of operations. (2.1)A¯B+BCD¯=(...
BooleanFunctions:Theory,Algorithms,andApplications作者 Yves Crama著Peter L. Hammer著 出版社 CambridgeUniversityPress 出版时间 2011年5月 ISBN 9780521847513 定价 1950.20 内容简介 Overthelast50yearsthetheoryofp-adicdifferentialequationshasgrownintoanactiveareaofresearchinitsownright,andhasimportantapplications...
The Wolfram Language represents Boolean expressions in symbolic form, so they can not only be evaluated, but also be symbolically manipulated and transformed. Incorporating state-of-the-art quantifier elimination, satisfiability, and equational logic the
Analysis of Boolean Functions Administrivia Me: Ryan O’Donnell; email: odonnell@cs.cmu.edu Office hours: Wean 7121, by appointment Web site: http://.cs.cmu.edu/~odonnell/boolean-analysis Mailing list: Please sign up! Instructions on web page. ...
Tips and notes Parameters Since 16.0 Overview ¶ This node can perform several different functions according to the Operation parameter. The common operations are: Boolean operations (union, intersect, subtract) between two “solid” models: Shattering a solid model using cutting surfaces: You...
Friedgut, E.: Boolean functions with low average sensitivity depend on few coordinates. Combinatorica 18(1), 27–35 (1998) MathSciNet Google Scholar Fagnola, F., Rebolledo, R., Saavedra, C.: Quantum flows associated to a class of laser master equations. J. Math. Phys. 1(35), 1–...
(). So far, the attempt in designing Boolean functions with required algebraic immunity was only ad-hoc, i.e., the functions were designed keeping in mind the other cryptographic criteria, and then it has been checked whether it can provide good algebraic immunity too. For the first time, ...
I'm not sure if Matlab has some built in functions that I can use for the following problem, so I need so help. I have n nodes. The relationship between these n nodes is given by nxn matrix of coefficients. I need to divide these n nodes into k groups (clusters), such that...