VISUALIZATION OF A THEORETICAL RESULTS OBTAINED FOR A WEIGHTED DIAPHONY OVER CERTAIN SEQUENCES
Date Issued
2010
Author(s)
Abstract
In this paper the authors give a visualization of a theoretical
results obtained for a weighted diaphony over certain
sequences: sequence of Van der Corput and net of Zaremba -
Halton.
It is observed weighted diaphony as a numerical measure
for uniform distribution of sequences with dimensions s=1
and s=2. The certain values of parameters and the certain
choice of sequences are given.
The obtained theoretical results given by the
examinations for the weighted diaphony‘s values are
numerically tested and verified, with high level of accuracy.
Visualization of the theoretical results is made in the
mathematical software Mathematica.
The high and low estimations of the weighted diaphony‘s
values are verified.
results obtained for a weighted diaphony over certain
sequences: sequence of Van der Corput and net of Zaremba -
Halton.
It is observed weighted diaphony as a numerical measure
for uniform distribution of sequences with dimensions s=1
and s=2. The certain values of parameters and the certain
choice of sequences are given.
The obtained theoretical results given by the
examinations for the weighted diaphony‘s values are
numerically tested and verified, with high level of accuracy.
Visualization of the theoretical results is made in the
mathematical software Mathematica.
The high and low estimations of the weighted diaphony‘s
values are verified.
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