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Summability criterion information


The summability criterion is a voting system criterion, used to objectively compare electoral systems. The criterion states:

Each vote should be able to be mapped onto a summable array, such that its size at most grows polynomially with respect to the amount of candidates, the summation operation is associative and commutative and the winner could be determined from the array sum for all votes cast alone.

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Summability criterion

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The summability criterion is a voting system criterion, used to objectively compare electoral systems. The criterion states: Each vote should be able to...

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Riemann integral

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because there is no other general criterion for exchanging a limit and a Riemann integral, and without such a criterion it is difficult to approximate integrals...

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Kelly criterion

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In probability theory, the Kelly criterion (or Kelly strategy or Kelly bet) is a formula for sizing a bet. The Kelly bet size is found by maximizing the...

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Residual sum of squares

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optimality criterion in parameter selection and model selection. In general, total sum of squares = explained sum of squares + residual sum of squares...

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Overtaking criterion

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In economics, the overtaking criterion is used to compare infinite streams of outcomes. Mathematically, it is used to properly define a notion of optimality...

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Equidistributed sequence

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_{N\to \infty }{\frac {1}{N}}\sum _{n=1}^{N}f\left(s_{n}\right)={\frac {1}{b-a}}\int _{a}^{b}f(x)\,dx} This criterion leads to the idea of Monte-Carlo...

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Nyquist ISI criterion

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In communications, the Nyquist ISI criterion describes the conditions which, when satisfied by a communication channel (including responses of transmit...

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Bayesian information criterion

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statistics, the Bayesian information criterion (BIC) or Schwarz information criterion (also SIC, SBC, SBIC) is a criterion for model selection among a finite...

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Akaike information criterion

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The Akaike information criterion (AIC) is an estimator of prediction error and thereby relative quality of statistical models for a given set of data...

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Ratio test

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mathematics, the ratio test is a test (or "criterion") for the convergence of a series ∑ n = 1 ∞ a n , {\displaystyle \sum _{n=1}^{\infty }a_{n},} where each...

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Stoner criterion

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The Stoner criterion is a condition to be fulfilled for the ferromagnetic order to arise in a simplified model of a solid. It is named after Edmund Clifton...

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Mean squared error

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includes the information of estimator variance and bias. This is called MSE criterion. In regression analysis, plotting is a more natural way to view the overall...

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Compilation complexity

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representatives of the parties. Then, every citizen can verify the final outcome by summing the results from the 1000 voting stations. This verifiability is important...

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Multiple subset sum

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utility of each person is the sum of items in his/her subsets. The goal is to construct subsets that satisfy a given criterion of fairness, such as max-min...

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Avalanche effect

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before the algorithm terminates.[citation needed] The strict avalanche criterion (SAC) is a formalization of the avalanche effect. It is satisfied if,...

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Weighted sum model

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of importance of the criterion Cj and aij is the performance value of alternative Ai when it is evaluated in terms of criterion Cj. Then, the total (i...

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Carmichael number

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and equivalent definition of Carmichael numbers is given by Korselt's criterion. Theorem (A. Korselt 1899): A positive composite integer n {\displaystyle...

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Absolute convergence

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{N} } is the set of natural numbers, Lebesgue integrability, unordered summability and absolute convergence all coincide. Finally, all of the above holds...

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