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Boolean function

In mathematics, a Boolean function is a function whose arguments and result assume values from a two-element set (usually {true, false}, {0,1} or {−1,1}). Alternative names are switching function, used especially in older computer science literature, and truth function (or logical function), used in logic. Boolean functions are the subject of Boolean…

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Boolean function

Nodes106
Edges105
Triples113
Avg. degree1.98
Density0.018868
Components1

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Boolean function

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related to Further reading · 36
Boolean function → Algorithms, Applications, Arithmetic, Arnold, Boolean, Boolean Algebra, Boolean Functions, Bradford Henry, Cambridge University Press, CBO9780511852008, Ciletti, Claudio, Courier Corporation, Crama, Digital Design, Dragan, Electrical Engineering, EMS Press, Encyclopedia, Hammer
related to On the unit hypercube · 14
Boolean function → AND, Any Boolean, Boolean, Boolean Möbius, Direct, For, In, Möbius, OR, Some, Taken, When, XOR, Zhegalkin
related to Properties · 14
Boolean function → Balanced, Bent, Boolean, Can, Constant, Correlation, Is, Linear, Monotone, Read-once, Sheffer, Symmetric, The, The Hamming
related to Examples · 10
Boolean function → AND, Boolean, NAND, NOR, NOT, OR, Sheffer, The, XNOR, XOR
related to Cryptographic analysis · 9
Boolean function → Boolean, For, Fourier, Hamming, If, Its, The, The Walsh, Walsh
related to On the symmetric hypercube · 9
Boolean function → Analysis, Boolean, Fourier, Often, The, This, Using, Walsh, XOR
related to Derived functions · 8
Boolean function → Boole's, Boolean, Muller, Reed, Shannon, The, The Boolean, XOR
is a · 5
Boolean function → function whose arguments and result assume values from a two-element set, k-ary integer-valued function giving the coefficients of a decomposition into linear functions, k-ary integer-valued function giving the correlation between a certain set of changes in the inputs and the function output, set of coefficients of its polynomial, Sheffer function if it can be used to create
related to Representation · 4
Boolean function → Binary, Boolean, Karnaugh, Truth
has application · 2
Boolean function → Boolean, The

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Important terminology

boolean function functions displaystyle polynomial form coefficients linear arguments walsh set truth autocorrelation symmetric transform known table output number xor

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Boolean functionis afunction whose arguments and result assume values from a two-element set0.90text
Boolean functionis aSheffer function if it can be used to create0.90text
Boolean functionis aset of coefficients of its polynomial0.90text
Boolean functionis ak-ary integer-valued function giving the coefficients of a decomposition into linear functions0.90text
Boolean functionis ak-ary integer-valued function giving the correlation between a certain set of changes in the inputs and the function output0.90text
Boolean functionhas applicationBoolean0.60section
Boolean functionhas applicationThe0.60section
Boolean functionrelated to Cryptographic analysisThe Walsh0.60section
Boolean functionrelated to Cryptographic analysisBoolean0.60section
Boolean functionrelated to Cryptographic analysisWalsh0.60section
Boolean functionrelated to Cryptographic analysisFourier0.60section
Boolean functionrelated to Cryptographic analysisIts0.60section

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