Difference between revisions of "Site projects:Patrolling measure theory/Task list"
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* [[A collection of subsets is a sigma-algebra iff it is a Dynkin system and closed under finite intersections]] | * [[A collection of subsets is a sigma-algebra iff it is a Dynkin system and closed under finite intersections]] | ||
* [[A function is a measure iff it measures the empty set as 0, disjoint sets add, and it is continuous from below (with equiv. conditions)]] | * [[A function is a measure iff it measures the empty set as 0, disjoint sets add, and it is continuous from below (with equiv. conditions)]] | ||
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* [[Conditions for a generated Dynkin system to be a sigma-algebra]] | * [[Conditions for a generated Dynkin system to be a sigma-algebra]] | ||
* [[Conditions for a map to be a measurable map]] | * [[Conditions for a map to be a measurable map]] | ||
| + | * [[D-system]] '''DONE''' [[User:Alec|Alec]] ([[User talk:Alec|talk]]) 01:54, 19 March 2016 (UTC) | ||
* [[Derivative]] | * [[Derivative]] | ||
| + | * [[Dynkin system]] '''DONE''' [[User:Alec|Alec]] ([[User talk:Alec|talk]]) 01:54, 19 March 2016 (UTC) | ||
* [[Dynkin system generated by]] {{C|Work required}} | * [[Dynkin system generated by]] {{C|Work required}} | ||
| + | * [[Dynkin system/Definition 1]] '''DONE''' [[User:Alec|Alec]] ([[User talk:Alec|talk]]) 01:54, 19 March 2016 (UTC) | ||
| + | * [[Dynkin system/Definition 2]] '''DONE''' [[User:Alec|Alec]] ([[User talk:Alec|talk]]) 01:54, 19 March 2016 (UTC) | ||
| + | * [[Dynkin system/Proof that definitions 1 and 2 are equivalent]] '''DONE''' [[User:Alec|Alec]] ([[User talk:Alec|talk]]) 01:54, 19 March 2016 (UTC) | ||
* [[Extended real value]] | * [[Extended real value]] | ||
* [[Function terminology]] | * [[Function terminology]] | ||
* [[Generator]] {{C|Work required}} | * [[Generator]] {{C|Work required}} | ||
| + | * [[Generator (sigma-algebra)]] '''DONE''' [[User:Alec|Alec]] ([[User talk:Alec|talk]]) 01:58, 19 March 2016 (UTC) | ||
* [[Index of common sigma-algebras]] | * [[Index of common sigma-algebras]] | ||
| + | * [[Integral]] '''DONE''' [[User:Alec|Alec]] ([[User talk:Alec|talk]]) 02:01, 19 March 2016 (UTC) | ||
| + | * [[Integral (measure theory)]] '''DONE''' [[User:Alec|Alec]] ([[User talk:Alec|talk]]) 02:01, 19 March 2016 (UTC) | ||
* [[Integral of a positive function (measure theory)]] {{C|Work required}} | * [[Integral of a positive function (measure theory)]] {{C|Work required}} | ||
* [[Integral of a positive function (measure theory)/Definition]] {{C|Work required}} | * [[Integral of a positive function (measure theory)/Definition]] {{C|Work required}} | ||
| + | * [[Integral of a simple function (measure theory)]] '''DONE''' [[User:Alec|Alec]] ([[User talk:Alec|talk]]) 02:01, 19 March 2016 (UTC) | ||
| + | * [[Integral of a simple function (measure theory)/Definition]] '''DONE''' [[User:Alec|Alec]] ([[User talk:Alec|talk]]) 02:01, 19 March 2016 (UTC) | ||
* [[Lebesgue measure]] | * [[Lebesgue measure]] | ||
* [[Limit of increasing sequence of sets]] | * [[Limit of increasing sequence of sets]] | ||
| + | * [[Measurable function]] '''DONE''' [[User:Alec|Alec]] ([[User talk:Alec|talk]]) 01:58, 19 March 2016 (UTC) | ||
* [[Measurable map]] {{C|Work required}} | * [[Measurable map]] {{C|Work required}} | ||
* [[Measurable space]] {{C|Work required}} | * [[Measurable space]] {{C|Work required}} | ||
| Line 38: | Line 49: | ||
* [[Monotonic set function]] | * [[Monotonic set function]] | ||
* [[Outer-measure]] | * [[Outer-measure]] | ||
| + | * [[P-system]] '''DONE''' [[User:Alec|Alec]] ([[User talk:Alec|talk]]) 01:58, 19 March 2016 (UTC) | ||
* [[Positive and negative parts of a function]] | * [[Positive and negative parts of a function]] | ||
| + | * [[Pre-image sigma-algebra]] '''DONE''' [[User:Alec|Alec]] ([[User talk:Alec|talk]]) 00:42, 19 March 2016 (UTC) | ||
| + | * [[Pre-image sigma-algebra/Definition]] '''DONE''' [[User:Alec|Alec]] ([[User talk:Alec|talk]]) 00:42, 19 March 2016 (UTC) | ||
| + | * [[Pre-image sigma-algebra/Proof of claim: it is a sigma-algebra]] '''DONE''' [[User:Alec|Alec]] ([[User talk:Alec|talk]]) 00:42, 19 March 2016 (UTC) | ||
* [[Pre-measurable space]] | * [[Pre-measurable space]] | ||
* [[Pre-measure]] | * [[Pre-measure]] | ||
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* [[Ring of sets]] | * [[Ring of sets]] | ||
* [[Set function]] | * [[Set function]] | ||
| + | * [[Sigma-algebra]] '''DONE''' [[User:Alec|Alec]] ([[User talk:Alec|talk]]) 01:49, 19 March 2016 (UTC) | ||
* [[Sigma-algebra generated by]] {{C|Marked as dire}} | * [[Sigma-algebra generated by]] {{C|Marked as dire}} | ||
* [[Sigma-ring]] {{C|Work required}} | * [[Sigma-ring]] {{C|Work required}} | ||
| + | * [[Simple function (measure theory)]] '''DONE''' [[User:Alec|Alec]] ([[User talk:Alec|talk]]) 02:06, 19 March 2016 (UTC) | ||
| + | * [[Simple function (measure theory)/Definition]] '''DONE''' [[User:Alec|Alec]] ([[User talk:Alec|talk]]) 02:06, 19 March 2016 (UTC) | ||
* [[Subtractive set function]] | * [[Subtractive set function]] | ||
| + | * [[Trace sigma-algebra]] '''DONE''' [[User:Alec|Alec]] ([[User talk:Alec|talk]]) 00:58, 19 March 2016 (UTC) | ||
* [[Types of set algebras]] | * [[Types of set algebras]] | ||
[[Category:Site project logs]] | [[Category:Site project logs]] | ||
Revision as of 19:43, 19 March 2016
n=74
- A collection of subsets is a sigma-algebra iff it is a Dynkin system and closed under finite intersections
- A function is a measure iff it measures the empty set as 0, disjoint sets add, and it is continuous from below (with equiv. conditions)
- A map from two sigma-algebras, A and B,... Needs minor work
- Additive function
- Algebra (Disambiguation) Work required
- Algebra of sets Work required
- Borel sigma-algebra
- Borel sigma-algebra generated by
- Class of sets closed under complements properties
- Class of sets closed under set-subtraction properties
- Class of smooth real-valued functions on R-n
- Class of smooth real-valued functions on R-n/Structure
- Classes of continuously differentiable functions
- Composition of measurable maps is measurable Work required
- Conditions for a Dynkin system to be a sigma-algebra
- Conditions for a generated Dynkin system to be a sigma-algebra
- Conditions for a map to be a measurable map
- D-system DONE Alec (talk) 01:54, 19 March 2016 (UTC)
- Derivative
- Dynkin system DONE Alec (talk) 01:54, 19 March 2016 (UTC)
- Dynkin system generated by Work required
- Dynkin system/Definition 1 DONE Alec (talk) 01:54, 19 March 2016 (UTC)
- Dynkin system/Definition 2 DONE Alec (talk) 01:54, 19 March 2016 (UTC)
- Dynkin system/Proof that definitions 1 and 2 are equivalent DONE Alec (talk) 01:54, 19 March 2016 (UTC)
- Extended real value
- Function terminology
- Generator Work required
- Generator (sigma-algebra) DONE Alec (talk) 01:58, 19 March 2016 (UTC)
- Index of common sigma-algebras
- Integral DONE Alec (talk) 02:01, 19 March 2016 (UTC)
- Integral (measure theory) DONE Alec (talk) 02:01, 19 March 2016 (UTC)
- Integral of a positive function (measure theory) Work required
- Integral of a positive function (measure theory)/Definition Work required
- Integral of a simple function (measure theory) DONE Alec (talk) 02:01, 19 March 2016 (UTC)
- Integral of a simple function (measure theory)/Definition DONE Alec (talk) 02:01, 19 March 2016 (UTC)
- Lebesgue measure
- Limit of increasing sequence of sets
- Measurable function DONE Alec (talk) 01:58, 19 March 2016 (UTC)
- Measurable map Work required
- Measurable space Work required
- Measure Work required (lots/dire-page)
- Measure space Work required
- Measure Theory Needs rehoming
- Measure Theory (subject)
- Template:Measure theory navbox Work required
- Measures are monotonic and subtractive
- Min/max
- Monotonic set function
- Outer-measure
- P-system DONE Alec (talk) 01:58, 19 March 2016 (UTC)
- Positive and negative parts of a function
- Pre-image sigma-algebra DONE Alec (talk) 00:42, 19 March 2016 (UTC)
- Pre-image sigma-algebra/Definition DONE Alec (talk) 00:42, 19 March 2016 (UTC)
- Pre-image sigma-algebra/Proof of claim: it is a sigma-algebra DONE Alec (talk) 00:42, 19 March 2016 (UTC)
- Pre-measurable space
- Pre-measure
- Pre-measure space
- Pre-measure/Properties in common with measure
- Probability function
- Probability measure
- Probability space
- Random variable
- Real-valued function
- Ring generated by
- Ring of sets
- Set function
- Sigma-algebra DONE Alec (talk) 01:49, 19 March 2016 (UTC)
- Sigma-algebra generated by Marked as dire
- Sigma-ring Work required
- Simple function (measure theory) DONE Alec (talk) 02:06, 19 March 2016 (UTC)
- Simple function (measure theory)/Definition DONE Alec (talk) 02:06, 19 March 2016 (UTC)
- Subtractive set function
- Trace sigma-algebra DONE Alec (talk) 00:58, 19 March 2016 (UTC)
- Types of set algebras
