VISUALIZATION OF A THEORETICAL RESULTS OBTAINED FOR A WEIGHTED DIAPHONY OVER CERTAIN SEQUENCES

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.