Glyoxylic acid: Difference between revisions

From formulasearchengine
Jump to navigation Jump to search
← Older edit
en>ThunderSkunk
m →Phenol derivatives: Sentences were missing or had too many spaces. A link referred to sub-component of a compound when an article exists for the whole chemical.
en>DePiep
Temperatures (melting, boiling, autoignite, flash) use convert template to calculate (m: rm setting imagesize to dflt). using AWB
 
(One intermediate revision by one other user not shown)
Line 1: Line 1:
In [[mathematics]], the '''Cramér–Wold theorem''' in [[measure theory]] states that a [[Borel measure|Borel]] [[probability measure]] on <math>R^k</math> is uniquely determined by the totality of its one-dimensional projections. It is used as a method for proving joint convergence results. The theorem is named after [[Harald Cramér]] and [[Herman Ole Andreas Wold]].
The writer is known as Irwin. She is a librarian but she's usually wanted her personal company. One of the things she enjoys most is to read comics and she'll be beginning something else along with it. South Dakota is where me and my spouse reside and my family members enjoys it.<br><br>Here is my weblog - [http://www.articlestunner.com/cures-for-the-yeast-infection-suggestions-to-use-now/ std home test]
 
Let
 
:<math> \overline{X}_n = (X_{n1},\dots,X_{nk}) \; </math>
 
and  
 
:<math> \; \overline{X} = (X_1,\dots,X_k) </math>
 
be [[random vector]]s of dimension&nbsp;''k''. Then <math> \overline{X}_n </math> [[converges in distribution]] to <math> \overline{X} </math> if and only if:
 
:<math> \sum_{i=1}^k t_iX_{ni} \overset{D}{\underset{n\rightarrow\infty}{\rightarrow}} \sum_{i=1}^k t_iX_i. </math>
 
for each <math> (t_1,\dots,t_k)\in \mathbb{R}^k </math>, that is, if every fixed [[linear combination]] of the coordinates of <math> \overline{X}_n</math> converges in distribution to the correspondent linear combination of coordinates of <math> \overline{X} </math>.
 
{{PlanetMath attribution|id=3711|title=Cramér-Wold theorem}}
 
== External links ==
* Project Euclid: [http://projecteuclid.org/Dienst/UI/1.0/Summarize/euclid.aop/1024404418 "When is a probability measure determined by infinitely many projections?"]
 
{{DEFAULTSORT:Cramer-Wold theorem}}
[[Category:Theorems in measure theory]]
 
 
{{Mathanalysis-stub}}

Latest revision as of 20:21, 30 November 2014

The writer is known as Irwin. She is a librarian but she's usually wanted her personal company. One of the things she enjoys most is to read comics and she'll be beginning something else along with it. South Dakota is where me and my spouse reside and my family members enjoys it.

Here is my weblog - std home test

Retrieved from "https://en.formulasearchengine.com/index.php?title=Glyoxylic_acid&oldid=243930"