Page 113 - ISCI’2017

Fig. 5 – Dependence of the function r u and r n from the space dimension
n for normal and uniform noise

The main conclusions from the

results of the statistical experiment
and analysis of the illustrations are

following:
1) the spheres of normal and

uniform noise have approximately

equal average radii, while the value

r u tends to limiting and normalized

value slightly faster than r n . This

phenomenon is illustrated in Fig. 5;

2) the dispersion of scattering of
Fig. 6 – The dispersion of the radii of uncertainty spheres the radius values for the sphere of
for the normal and uniform noise as a function of
the dimension of space uniform noise is smaller than the
dispersion for the sphere of normal
noise (the contours of the spheres on the right is more defined), and calculations yield the following

limit ratio:

lim (D r n D r u , (52)
[ ] [ ]) 2,5=
n→∞

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