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This book brings together five topics on the application of Boolean functions. They are 1. Equivalence classes of Boolean functions: The number of n-variable functions is large, even for values as small as n = 6, and there has been much research on classifying functions. There are many classifications, each with their own distinct merit. 2. Boolean functions for cryptography: The process of encrypting/decrypting plaintext messages often depends on Boolean functions with specific properties. For example, highly nonlinear functions are valued because they are less susceptible to linear attacks. 3. Boolean differential calculus: An operation analogous to taking the derivative of a real-valued function offers important insight into the properties of Boolean functions. One can determine tests or susceptibility to hazards. 4. Reversible logic: Most logic functions are irreversible; it is impossible to reconstruct the input, given the output. However, Boolean functions that are reversible are necessary for quantum computing, and hold significant promise for low-power computing. 5. Data mining: The process of extracting subtle patterns from enormous amounts of data has benefited from the use of a graph-based representation of Boolean functions. This has use in surveillance, fraud detection, scientific discovery including bio-informatics, genetics, medicine, and education. Written by experts, these chapters present a tutorial view of new and emerging technologies in Boolean functions. Table of Contents: Equivalence Classes of Boolean Functions / Boolean Functions for Cryptography / Boolean Differential Calculus / Synthesis of Boolean Functions in Reversible Logic / Data Mining Using Binary Decision Diagrams
In his view of Britain's mainland American colonies after 1680, Butler reveals a strikingly "modern" character belying the quaintness fixed in history. Multinational, profit-driven, materialistic, politically self-conscious, power-hungry, religiously plural-the colonies became a "new order of the ages" anticipating the American Revolution.
Challenging the formidable tradition that places early New England Puritanism at the center of the American religious experience, Yale historian Jon Butler offers a new interpretation of three hundred years of religious and cultural development.
The letters page of Old Git magazine continues to offer its readers an opportunity to ask and provide answers to the most pressing questions of our times. Questions such as:Would it help global warming if I left my fridge door open?What's the riskiest game of risk ever played? If I fell down a disused mineshaft would Lassie really run and get help, or just sit there licking his balls?Do Bats Have Bollocks? features a host of completely new and untrue questions and answers. With bags more rude jokes, shaggy dog stories and the odd entry from a new, bewildered editor who's wondering what the hell he's got himself into, this book is every bit as laugh-out-loud funny as last year's hugely successful volume Do Ants Have Arseholes?
How easy is it to fall off a log? Where is the middle of nowhere? Do we really have no bananas? The readers of OLD GIT magazine are a batty, befuddled, potty-mouthed bunch, who seem to spend a significant chunk of their spare time corresponding with the publication's popular letters page. DO ANTS HAVE ARSEHOLES? is a very funny, very silly collection of questions and answers taken from this column, none of which has any basis whatsoever in fact. A must for all those who relish a heady mixture of shaggy-dog stories, toilet humour and utter lack of insight.
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