Difference between revisions of "Site projects:Patrolling measure theory/Task list"

From Maths
Jump to: navigation, search
m (Marking work done)
m
Line 1: Line 1:
n=74
+
n=55
 
* [[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)]]
Line 17: Line 17:
 
* [[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 49: Line 38:
 
* [[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]]
Line 66: Line 51:
 
* [[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 02:12, 19 March 2016

n=55