PDF Lattice Functions and Equations (Discrete Mathematics and Theoretical Computer Science) Full Books Books detail ●
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Title : PDF Lattice Functions and Equations (Discrete Mathematics and Theoretical Computer Science) Full Books isbn : 1852332662
Book synopsis Lattice (Boolean) functions are algebraic functions defined over an arbitrary lattice (Boolean algebra), while lattice (Boolean) equations are equations expressed in terms of lattice (Boolean) functions.This self-contained monograph surveys recent developments of Boolean functions and equations, as well as lattice functions and equations in more general classes of lattices; a special attention is paid to consistency conditions and reproductive general solutions.The contents include:- equational compactness in semilattices and Boolean algebras;- the theory of Post functions and equations (which is very close to that of Boolean functions and equations);- a revision of Boolean fundamentals;- closure operators on Boolean functions;- the decomposition of Boolean functions;- quadratic truth equations;- Boolean differential calculus;- Boolean geometry and other topics.There is also a chapter on equations in a very general sense. Applications refer to graph theory, automata theory, synthesis of circuits, fault detection, databases, marketing and others.
There is also a chapter on equations in a very general sense. Applications refer to graph theory, automata theory, synthesis of circuits, fault detection, databases, ...
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Extension to continuous domains. â Application: proximal operator for non-convex regularizers. ⢠Preprint available on ArXiv, second version (Bach, 2015) ...
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