Category:Definitions/Measure Theory
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This category contains definitions related to Measure Theory.
Related results can be found in Category:Measure Theory.
Measure theory is the subfield of analysis concerned with the properties of measures, particularly the Lebesgue measure.
Subcategories
This category has the following 23 subcategories, out of 23 total.
B
C
D
- Definitions/Dynkin Systems (3 P)
L
M
- Definitions/Measurable Sets (7 P)
- Definitions/Measure Spaces (4 P)
N
- Definitions/Null Sets (4 P)
P
R
S
T
Pages in category "Definitions/Measure Theory"
The following 122 pages are in this category, out of 122 total.
A
B
C
- Definition:Cauchy in Measure
- Definition:Co-Countable Measure
- Definition:Complete Measure Space
- Definition:Completion (Measure Space)
- Definition:Conjugate Exponents
- Definition:Conjugate Exponents/General Definition
- Definition:Convergence Almost Everywhere
- Definition:Convergence in Mean
- Definition:Convergence in Measure
- Definition:Convolution (Measure Theory)
- Definition:Convolution of Measurable Function and Measure
- Definition:Convolution of Measurable Functions
- Definition:Convolution of Measures
- Definition:Countably Additive Function
- Definition:Countably Subadditive Function
- Definition:Counting Measure
F
H
I
- Definition:Independent Sigma-Algebras
- Definition:Induced Outer Measure
- Definition:Infinite Measure
- Definition:Integrable Function on Measure Space
- Definition:Integrable Function/Lebesgue
- Definition:Integrable Function/Measure Space
- Definition:Integrable Function/p-Integrable
- Definition:Integral of Integrable Function
- Definition:Integral of Integrable Function over Measurable Set
- Definition:Integral of Positive Measurable Function
- Definition:Integral of Positive Measurable Function over Measurable Set
- Definition:Integral of Positive Simple Function
- Definition:Integral Sign
K
L
M
- Definition:Marginal of Measure on Product Space
- Definition:Measurable Function
- Definition:Measurable Mapping
- Definition:Measurable Set
- Definition:Measurable Space
- Definition:Measure (Measure Theory)
- Definition:Measure of Finite Stieltjes Function
- Definition:Measure Space
- Definition:Measure Theory
- Definition:Measure with Density
- Definition:Measure Zero
P
- Definition:P-Integrable Function
- Definition:Pi-System
- Definition:Positive Measurable Function
- Definition:Positive Simple Function
- Definition:Pre-Measure
- Definition:Pre-Measure of Finite Stieltjes Function
- Definition:Probability Function
- Definition:Probability Measure
- Definition:Probability Space
- Definition:Probability Space/Continuous
- Definition:Probability Space/Discrete
- Definition:Probability Theory
- Definition:Product Measurable Space
- Definition:Product Measure
- Definition:Product Measure Space
- Definition:Pushforward Measure
S
- Definition:Series of Measures
- Definition:Sigma-Additive Function
- Definition:Sigma-Algebra
- Definition:Sigma-Finite Measure
- Definition:Sigma-Finite Measure Space
- Definition:Simple Function
- Definition:Space of Integrable Functions
- Definition:Space of Positive Measurable Functions
- Definition:Space of Positive Simple Functions
- Definition:Space of Simple Functions
- Definition:Standard Representation of Simple Function
- Definition:Stieltjes Function
- Definition:Stieltjes Function of Measure
- Definition:Stieltjes Function of Measure on Real Numbers
- Definition:Strongly Additive Function
- Definition:Subadditive Function (Measure Theory)
- Definition:Supremum Seminorm
- Definition:Survival Function