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In mathematics, particularly measure theory, a 𝜎-ideal, or sigma ideal, of a σ-algebra (𝜎, read "sigma") is a subset with certain desirable closure properties. It is a special type of ideal . Its most frequent application is in probability theory .
In mathematics, by sigma function one can mean one of the following: The sum-of-divisors function σ a ( n ), an arithmetic function Weierstrass sigma function , related to elliptic functions
In mathematical analysis and in probability theory, a σ-algebra ("sigma algebra"; also σ-field, where the σ comes from the German "Summe" [1]) on a set X is a nonempty collection Σ of subsets of X closed under complement, countable unions, and countable intersections. The ordered pair (,) is called a measurable space.
In general mathematics, uppercase Σ is used as an operator for summation. When used at the end of a letter-case word (one that does not use all caps ), the final form (ς) is used. In Ὀδυσσεύς (Odysseus), for example, the two lowercase sigmas (σ) in the center of the name are distinct from the word-final sigma (ς) at the end.
"Sigma” is a slang word for “the best” or someone who is a humble alpha male. ... (assigning) math problems (to solve) with an online game,” he says, adding that in his classroom, “Sigma ...
In mathematics, a positive or a signed measure μ on a set X is called σ-finite if X equals the union of a sequence of measurable sets A 1, A 2, A 3, … of finite measure μ(A n) < ∞. Similarly, a subset of X is called σ-finite if it equals such a countable union.
“They say, ‘Are you sigma Mr. Lindsay?’ or ‘Yo, that’s so sigma’ when I do something that pleases them like (assigning) math problems (to solve) with an online game,” he says, adding ...
A five-sigma level translates to one chance in 3.5 million that a random fluctuation would yield the result. This level of certainty was required in order to assert that a particle consistent with the Higgs boson had been discovered in two independent experiments at CERN , [ 11 ] also leading to the declaration of the first observation of ...