PL EN


2008 | 55 | 3 | 71-84
Article title

PSEUDODISTRIBUTION AS A GENERALIZATION OF DISTRIBUTION

Authors
Title variants
Languages of publication
PL
Abstracts
EN
Some properties of the distribution indicate the possibility of treating it analogically to the numbers because of the introduction of addition and multiplication operators. As a addition operator the convolution of two distributions can be used. In such situation it is compulsory to create a fuli set of all elements that can be added using the convolution. The analysis which was conducted is showing, that not all of them are distributions. To use a convolution as an addition operator in the meaning of arithmetical operator it is necessary to generalize the conception of the distribution. In the article the conception of pseudodistribution is introduced. It includes all objects of the created full set. The definition of addition is the entry point for the definition of multiplication. We can distinguish two kinds of multiplication - using the extraction and using the composition. In the classical arithmetic both ways are leading to the same results, but for the distributions they give different results. In the article the way of addition and whole number multiplication for the composition is shown. It enables the multiplication of distributions and rational numbers in the meaning of composition.
Keywords
Year
Volume
55
Issue
3
Pages
71-84
Physical description
Document type
ARTICLE
Contributors
author
  • M. Borawski, Politechnika Szczecinska, Wydzial Informatyki, ul. Zolnierska 49, 70-210 Szczecin, Poland
References
Document Type
Publication order reference
Identifiers
CEJSH db identifier
08PLAAAA05249936
YADDA identifier
bwmeta1.element.2c9c5f1c-2ecb-334b-a6aa-88a20801c2d7
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