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Majority function information


In Boolean logic, the majority function (also called the median operator) is the Boolean function that evaluates to false when half or more arguments are false and true otherwise, i.e. the value of the function equals the value of the majority of the inputs.

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Majority function

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In Boolean logic, the majority function (also called the median operator) is the Boolean function that evaluates to false when half or more arguments...

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Boolean function

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An example of a more complicated function is the majority function (of an odd number of inputs). A Boolean function may be specified in a variety of ways:...

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Supermajority

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A supermajority (also called supra-majority, supramajority, qualified majority, or special majority) is a requirement for a proposal to gain a specified...

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Ternary operation

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9. In Excel formulae, the form is =if(C, x, y). Median algebra or Majority function Ternary conditional operator for a list of ternary operators in computer...

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Party leaders of the United States Senate

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the second-ranking members of each party's leadership. The main function of the majority and minority whips is to gather votes of their respective parties...

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List of Boolean algebra topics

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Lupanov representation Majority function Material conditional Minimal axioms for Boolean algebra Peirce arrow Read-once function Sheffer stroke Sole sufficient...

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Majority judgment

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Majority judgment (MJ) is a single-winner voting system proposed in 2010 by Michel Balinski and Rida Laraki. It is a kind of highest median rule, a cardinal...

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Party leaders of the United States House of Representatives

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function of the majority and minority whips is to gather votes of their respective parties on major issues. With the Republicans holding a majority of...

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Majority logic decoding

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code word to be all 1's This algorithm is a boolean function in its own right, the majority function. In a ( n , 1 ) {\displaystyle (n,1)} code, if R=[1...

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Graduated majority judgment

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highest-median voting rules. The function defined by the graduated majority judgment tie-breaking formula is a continuous function (as well as being almost-everywhere...

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Smoothness

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of a function is a property measured by the number, called differentiability class, of continuous derivatives it has over its domain. A function of class...

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Symmetric Boolean function

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Symmetric Boolean functions are used to classify Boolean satisfiability problems. A number of special cases are recognized: Majority function: their value...

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Analysis of Boolean functions

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1\}} denote the majority function on n {\displaystyle n} coordinates. Sheppard's formula gives the asymptotic noise stability of majority: Stab ρ ⁡ [ Maj...

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Tyranny of the majority

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public vote, and that the political function of rights is precisely to protect minorities from oppression by majorities and "the smallest minority on earth...

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Special functions

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physics. Symbolic computation engines usually recognize the majority of special functions. Functions with established international notations are the sine (...

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Social welfare function

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choice theory, a social welfare function—also called a social ordering, ranking, utility, or choice function—is a function that ranks a set of social states...

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Liver function tests

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Liver function tests (LFTs or LFs), also referred to as a hepatic panel, are groups of blood tests that provide information about the state of a patient's...

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Parity function

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a parity function is a Boolean function whose value is one if and only if the input vector has an odd number of ones. The parity function of two inputs...

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Carmichael function

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In number theory, a branch of mathematics, the Carmichael function λ(n) of a positive integer n is the smallest member of the set of positive integers...

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Voting in the Council of the European Union

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also states the conditions for a qualified majority, effective since 1 November 2014 (Lisbon rules): Majority of countries: 55% (comprising at least 15...

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Median algebra

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notions of medians of triples of real numbers and of the Boolean majority function. The axioms are ⟨ x , y , y ⟩ = y {\displaystyle \langle x,y,y\rangle...

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Condorcet winner criterion

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called a Condorcet (English: /kɒndɔːrˈseɪ/), beats-all, or majority-rule winner if a majority of voters would support them in a race against any other candidate...

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Circuit complexity

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is suspected that the nonuniform class ACC0 does not contain the majority function, it was only in 2010 that Williams proved that N E X P ⊈ A C C 0 {\displaystyle...

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