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searching for Indicator function (complex analysis) 11 found (12 total)

alternate case: indicator function (complex analysis)

Lebesgue integral (5,918 words) [view diff] no match in snippet view article find links to article

non-negative measurable functions. To assign a value to the integral of the indicator function 1S of a measurable set S consistent with the given measure μ, the

Simple function (845 words) [view diff] no match in snippet view article find links to article

}_{A_{k}}(x),} where 1 A {\displaystyle {\mathbf {1} }_{A}} is the indicator function of the set A. The sum, difference, and product of two simple functions

Support (mathematics) (2,721 words) [view diff] no match in snippet view article

, {\displaystyle x\in X,} where I C {\displaystyle I_{C}} is the indicator function of C . {\displaystyle C.} Every continuous function on a compact topological

Uniform integrability (2,519 words) [view diff] no match in snippet view article find links to article

{\mathcal {C}}} , where I | X | ≥ K {\displaystyle I_{|X|\geq K}} is the indicator function I | X | ≥ K = { 1 if | X | ≥ K , 0 if | X | < K . {\displaystyle

Glossary of real and complex analysis (4,377 words) [view diff] no match in snippet view article find links to article

This is a glossary of concepts and results in real analysis and complex analysis in mathematics. In particular, it includes those in measure theory (as

Lp space (12,206 words) [view diff] no match in snippet view article find links to article

{\displaystyle \mathbf {1} _{(t_{n+1}<f\leq t_{n})}} denotes the indicator function of the set ( t n + 1 < f ≤ t n ) := { s ∈ S : t n + 1 < f ( s ) ≤

Dirac delta function (14,418 words) [view diff] no match in snippet view article find links to article

\end{cases}}} This means that H(x) is the integral of the cumulative indicator function 1(−∞, x] with respect to the measure δ; to wit, H ( x ) = ∫ R 1 (

Reproducing kernel Hilbert space (6,325 words) [view diff] no match in snippet view article find links to article

x\in X} , the reproducing kernel K x {\displaystyle K_{x}} is the indicator function of the one point set { x } ⊂ X {\displaystyle \{x\}\subset X} . Nontrivial

Glossary of calculus (10,926 words) [view diff] no match in snippet view article find links to article

relations define an implicit function, namely relations defined as the indicator function of the zero set of some continuously differentiable multivariate function

Monotone convergence theorem (5,328 words) [view diff] no match in snippet view article find links to article

}_{X_{2}},} where 1 X i {\displaystyle {\mathbf {1} }_{X_{i}}} is the indicator function of X i {\displaystyle X_{i}} , are easily seen to be measurable and

Fourier transform (21,313 words) [view diff] no match in snippet view article find links to article

WIT Press, ISBN 978-1-84564-564-9 Rudin, Walter (1987), Real and Complex Analysis (3rd ed.), Singapore: McGraw Hill, ISBN 978-0-07-100276-9 Simonen,