Criterion
(Redirected from criterion)
A Criterion is a condition that set of conditions that must hold for a result to be true.
- AKA: Criterium, Mathematical Criterion.
- Context:
- It can be a theorem.
- It can range from being Sufficient Condition, to being a Necessary Condition, to being a Necessary and Sufficient Condition.
- …
- Example(s)
- Abel criterion.
- Brown's Criterion
- Cauchy Criterion.
- D'Alembert Criterion.
- Dirichlet Criterion.
- Dini-Lipschitz Criterion.
- Divisibility Criterion.
- Du Bois-Reymond Criterion.
- Eisenstein's Criterion.
- Euler's Criterion
- Euler-MacLaurin Criterion.
- Gauss's Criterion.
- Hardy criterion.
- Korselt's Criterion.
- Kummer Criterion.
- Leibniz Criterion.
- Lienard-Chipart Criterion.
- Logarithmic Convergence Criterion.
- Luzin criterion.
- Maximin Criterion.
- Mikhailov Criterion.
- Nyquist criterion.
- Pocklington's Criterion.
- Raabe Criterion.
- Routh-Hurwitz Criterion.
- Vandiver's Criteria.
- Weyl's Criterion.
- Counter-Example(s)
- See: Optimality Criterion, Multi-Criterion Problem.
References
2017a
- (Weisstein, 2017) ⇒ Retrieved on 2017-05-21 from Weisstein, Eric W. “Criterion." From MathWorld -- A Wolfram Web Resource. http://mathworld.wolfram.com/Criterion.html
- A requirement necessary for a given statement or theorem to hold. Also called a condition.
2017b
- (Wikipedia, 2017) ⇒ Retrieved on 2017-05-07 from http://en.wikipedia.org/wiki/Criterion#Science_and_mathematics
- Criterion validity, in psychometrics, a measure of how well one variable or set of variables predicts an outcome
- Criterion-referenced test, translates a test score into a statement about the behavior to be expected of a person
- Eisenstein's criterion, in mathematics, gives sufficient conditions for a polynomial to be irreducible over the rational numbers
- Euler's criterion, in number theory concerning primes
- Problem of the criterion, in epistemology, an issue regarding the starting point of knowledge
- Weyl's criterion, used in mathematics in the theory of diophantine approximation.