Wiki source code of bell-number

Last modified by Administrator on 2020/08/13 18:56

Show last authors
1 h1. The Bell Number Notations
2
3 The number of ways a set of {html}\\(n\\){html} elements can be partitioned into nonempty subsets is called a Bell number.
4
5 h3. Semantic
6
7 - OpenMath's [combinat1/Bell|http://www.openmath.org/cd/combinat1.xhtml#Bell]
8
9 ----
10 h3. Observations of the Bell Number
11
12 Put your observations here...
13
14 h4. English USA
15 !bell-en.png|align=right! As found in [Bibliography|Census.Bibliography#discrete-math-ThomasKoshy], Bell is defined recursively in the English book as follows
16 [Preview direct google-book-link|http://books.google.com.eg/books?id=lUyet9XvDAIC&lpg=PP1&dq=Discrete%20Mathematics%20with%20Applications&hl=en&pg=PA397#v=onepage&q=the%20bell%20number&f=false]
17
18 \\
19
20 h4. Germany
21 !bell-de.png|align=right!
22 In [Bibliography|Census.Bibliography#diskrete-math-deEdition], The German book shows the example in page 117
23 [Preview direct google-book-link|http://books.google.com/books?id=Ss3wkCjLWEIC&lpg=PA117&dq=bell%20zahlen&lr=&pg=PA117#v=onepage&q=bell%20zahlen&f=false]
24
25 \\
26
27 \\
28
29 ----
30
31 h3. Encoding observations of The Bell number
32 [See encodings|http://devdemo.activemath.org/mathbridge/tools/symbolpresentation.cmd?order=by+Theory&lang=x-all&fmt=html&clipCoordinate=40&noApplet=true&omsource=++%3COMOBJ%3E%0D%0A++++++++++%3COMA%3E%0D%0A++++++++++++%3COMS+name%3D%22Bell%22+cd%3D%22combinat1%22%2F%3E%0D%0A++++++++++++%3COMV+name%3D%22B%22%2F%3E%0D%0A++++++++++++%3COMV+name%3D%22n%22%2F%3E%0D%0A++++++++++%3C%2FOMA%3E%0D%0A++++++++%3C%2FOMOBJ%3E&submit=View]
33
34 \\
35
36 ----