mathematics and theoretical computer science, analysis of Boolean functions is the study of real-valued functions on { 0 , 1 } n {\displaystyle \{0,1\}^{n}}...

switching function, used especially in older computer science literature, and truth function (or logical function), used in logic. Boolean functions are the...

settings (e.g., in Fourier analysis of pseudo-Boolean functions), a pseudo-Boolean function is viewed as a function f {\displaystyle f} that maps { − 1 , 1...

Ampheck Analysis of Boolean functions Balanced Boolean function Bent function Boolean algebras canonically defined Boolean function Boolean matrix Boolean-valued...

Carnegie Mellon University. He is known for his work on the analysis of Boolean functions and for authoring the textbook on this subject. He is also known...

is the dual of the function's labelled Venn diagram, which is the more common representation for n ≤ 3.) The monotonic Boolean functions are precisely...

changes of Boolean variables and Boolean functions. Boolean differential calculus concepts are analogous to those of classical differential calculus,...

Sensitivity is related to the notion of total influence from the analysis of Boolean functions, which is equal to average sensitivity over all x {\displaystyle...

latter being of the form R(l1,...,ln) for some Boolean function R and (ordinary) literals li. Different sets of allowed Boolean functions lead to different...

describes numerical operations. Boolean algebra was introduced by George Boole in his first book The Mathematical Analysis of Logic (1847), and set forth...

The Ising Hamiltonian is an example of a pseudo-Boolean function; tools from the analysis of Boolean functions can be applied to describe and study it...

of Boolean functions. The output of the parity function is the parity bit. The n {\displaystyle n} -variable parity function is the Boolean function f...

Boolean function is said to be linearly separable provided these two sets of points are linearly separable. The number of distinct Boolean functions is...

O'Donnell (2008), "Some topics in analysis of boolean functions", Proceedings of the fortieth annual ACM symposium on Theory of computing - STOC 08, pp. 569–578...

same way that Boolean functions can be composed, allowing the construction of a physical model of all of Boolean logic, and therefore, all of the algorithms...

other symmetric techniques such as message authentication codes and hash functions is often presented there. FSE has been an IACR workshop since 2002, though...

language TQBF is a formal language consisting of the true quantified Boolean formulas. A (fully) quantified Boolean formula is a formula in quantified propositional...

used) to the Boolean constants "0" and "1". The transients are ignored in this analysis, along with any slight discrepancy between the state of the device...

connection with Boolean algebra, Boolean functions, and propositional calculus—which sets out the functional values of logical expressions on each of their functional...

conjecture is a statement about Boolean functions originally conjectured by Ehud Friedgut and Gil Kalai in 1996. For a function f : { − 1 , 1 } n → { − 1 ...

that is used to represent a Boolean function. On a more abstract level, BDDs can be considered as a compressed representation of sets or relations. Unlike...

different parts Boolean analysis – a method to find deterministic dependencies between variables in a sample, mostly used in exploratory data analysis Cluster...

(complex analysis) Markov's inequality (proof of a generalization) Mean value theorem Multivariate normal distribution (to do) Holomorphic functions are analytic...

logic, and is best known as the author of The Laws of Thought (1854), which contains Boolean algebra. Boolean logic, essential to computer programming...

term one-to-one function must not be confused with one-to-one correspondence that refers to bijective functions, which are functions such that each element...

of surjective functions is always surjective. Any function can be decomposed into a surjection and an injection. A surjective function is a function whose...

incompatibility (help) Joux, Antoine (2009). "9.2: Algebraic normal forms of Boolean functions". Algorithmic Cryptanalysis. CRC Press. pp. 285–286. ISBN 9781420070033...

functions defined on these spaces and suitably respecting these structures. The historical roots of functional analysis lie in the study of spaces of...

terms of binary Boolean functions, F is functionally complete if and only if every binary Boolean function can be expressed in terms of the functions in...

the identity function λ x . x {\displaystyle \lambda x.x} . In lambda calculus, functions are taken to be 'first class values', so functions may be used...