Next: Information from outside the
Up: The identification of strange
Previous: CONCLUSIONS AND SUGGESTIONS
Contents
Nearest neighbour distances are assumed to scale as
(see Section 3.2):

(A.1) 
where

(A.2) 
For the estimation of the dimension function
and the constant , the derivatives of the nearest
neighbour scaling function are required with respect to these parameters.
We used, for the different fit methods (section 3.3)
 Nmethod
 :
For this method, is fixed and the scaling function is

(A.3) 
so

(A.4) 
and

(A.5) 
 kmethod
 :

(A.6) 
so

(A.7) 
and

(A.8) 
Here

(A.9) 
 k(N)method
 :

(A.10) 
so

(A.11) 
and

(A.12) 
The correction function is considered to be inappropriate
when
; its implementation then returns
the value 1. The derivatives are returned as zero under that condition.
For the exact evaluation of the correction function, see
[Olofsen, 1987,van de Water, 1987].
Next: Information from outside the
Up: The identification of strange
Previous: CONCLUSIONS AND SUGGESTIONS
Contents
webmaster@rullf2.xs4all.nl