[linux-l] [OT] Gewichtete Wahrscheinlichkeit, Random

[Mike Dornberger]

Hi,

On Fri, Mar 30, 2007 at 01:25:45AM +0200, Volker Grabsch wrote:
> ----------------------------------------------------------------------
> 
> # maple
>     |\^/|     Maple 9 (IBM INTEL LINUX)
> ._|\|   |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc.
> 2003
>  \  MAPLE  /  All rights reserved. Maple is a trademark of
>  <____ ____>  Waterloo Maple Inc.
>       |       Type ? for help.

wenn wir schon dabei sind...

> exp(x)
>     = 1/0! + x/1! + x^2/2! + x^3/3! + ...
> 
> exp(-x^2)
>     = 1/0! - x^2/1! + x^4/2! - x^6/3! +- ...
> 
> Integral(exp(-x^2))
>     = x/0! - x^3/(3*1!) + x^5/(5*2!) - x^7/(7*3!) +- ...

...laß doch maple gleich die Taylorreihen ausspucken:

> series(erf(x),x=0);    
                     2          2     3      1     5      7
                   ----- x - ------- x  + ------- x  + O(x )
                     1/2         1/2          1/2
                   Pi        3 Pi         5 Pi

> series(erf(x),x=0,20); 
  2          2     3      1     5      1      7       1      9       1      11
----- x - ------- x  + ------- x  - -------- x  + --------- x  - --------- x
  1/2         1/2          1/2           1/2            1/2            1/2
Pi        3 Pi         5 Pi         21 Pi         108 Pi         660 Pi

           1       13        1       15        1        17         1        19
     + ---------- x   - ----------- x   + ------------ x   - ------------- x
              1/2               1/2                1/2                 1/2
       4680 Pi          37800 Pi          342720 Pi          3447360 Pi

          21
     + O(x  )

Gruß,
 Mike