an additive set function is a function μ {\textstyle \mu } mapping sets to numbers, with the property that its value on a union of two disjoint sets equals...

of a statistical trial or experiment Sigma-additive set function – Mapping function Sigma-ring – Family of sets closed under countable unions "11. Measurable...

{\displaystyle X} be a set and Σ {\displaystyle \Sigma } a σ {\displaystyle \sigma } -algebra over X . {\displaystyle X.} A set function μ {\displaystyle \mu...

mathematics, especially measure theory, a set function is a function whose domain is a family of subsets of some given set and that (usually) takes its values...

is no prime number that divides both of them. Then an arithmetic function a is additive if a(mn) = a(m) + a(n) for all coprime natural numbers m and n;...

may appear reasonable. However the closest generalization to mass is sigma additivity, which gives rise to the Lebesgue measure. It assigns a measure of...

addition operation Additive set-function see Sigma additivity Additive category, a preadditive category with finite biproducts Additive inverse, an arithmetic...

Harish-Chandra's σ function Weierstrass sigma function Sigma additivity Sigma (album) Sigma (DJs), a British drum and bass duo Sigma AZ (band), punk rock...

density function is f ( x ) = 1 2 π σ 2 e − ( x − μ ) 2 2 σ 2 {\displaystyle f(x)={\frac {1}{\sqrt {2\pi \sigma ^{2}}}}e^{-{\frac {(x-\mu )^{2}}{2\sigma ^{2}}}}}...

generalized additive model (GAM) is a generalized linear model in which the linear response variable depends linearly on unknown smooth functions of some...

Delta-sigma (ΔΣ; or sigma-delta, ΣΔ) modulation is an oversampling method for encoding signals into low bit depth digital signals at a very high sample-frequency...

field of measure theory, τ-additivity is a certain property of measures on topological spaces. A measure or set function μ {\displaystyle \mu } on a...

{y-\mu }{\sigma }}} . Other definitions of the Q-function, all of which are simple transformations of the normal cumulative distribution function, are also...

In statistics, an additive model (AM) is a nonparametric regression method. It was suggested by Jerome H. Friedman and Werner Stuetzle (1981) and is an...

\sigma {\sqrt {2\ \pi \ }}\ }}\exp \left(-{\frac {\ (\ln x-\mu )^{2}\ }{2\ \sigma ^{2}}}\right)~.\end{aligned}}} The cumulative distribution function is...

E\in \Sigma } Definition 1.3. The variation (also called absolute variation) of the signed measure μ {\displaystyle \mu } is the set function | μ | (...

dual: the additive form. If Y is reproductive, then Z = λ Y {\displaystyle Z=\lambda Y} with λ = 1 σ 2 {\displaystyle \lambda ={\frac {1}{\sigma ^{2}}}}...

{\displaystyle ba(\Sigma )} of an algebra of sets Σ {\displaystyle \Sigma } is the Banach space consisting of all bounded and finitely additive signed measures...

particularly norms and square roots. Additive maps are special cases of subadditive functions. A subadditive function is a function f : A → B {\displaystyle f\colon...

In economics, additive utility is a cardinal utility function with the sigma additivity property.: 287–288  Additivity (also called linearity or modularity)...

γ(n) = (−1)ω(n), where the additive function ω(n) is the number of distinct primes dividing n. τ(n): the Ramanujan tau function. All Dirichlet characters...

processing and statistics, a window function (also known as an apodization function or tapering function) is a mathematical function that is zero-valued outside...

algebra 𝜎-ring – Family of sets closed under countable unions Sigma additivity – Mapping functionPages displaying short descriptions of redirect targets Bauer...

{B(\alpha _{t}+i\sigma _{t}u,\beta _{t}-i\sigma u)}{B(\alpha _{t},\beta _{t})}}\right)^{\delta _{t}}e^{i\mu _{t}u}\;\;.} Two subcases of additive logistic process...

called DFSS (design for Six Sigma) is also practiced in many organizations. In the PCB design process, DFM leads to a set of design guidelines that attempt...

not a result. A cylinder set measure can be intuitively understood as defining a finitely additive function on the cylinder sets of the topological vector...

{\frac {\sigma (n)}{n}}={\frac {k}{2}},} where k {\displaystyle k} is odd, and σ ( n ) {\displaystyle \sigma (n)} is the sum-of-divisors function. The first...

_{i}f(X_{i})} . The set of fractionally subadditive functions equals the set of functions that can be expressed as the maximum of additive functions, as in the...

function defined by ν A ( S ) = μ ( A ∩ S ) {\displaystyle \nu _{A}(S)=\mu (A\cap S)} is countably additive for all A ∈ Σ {\displaystyle A\in \Sigma }...

arbitrary functions. Substitution of the completely separated solution S = S σ ( σ ) + S τ ( τ ) + S z ( z ) − E t + constant {\displaystyle S=S_{\sigma }(\sigma...