Explicit measures for the homogeneous transform
Hubert Holin
TL;DR
This paper investigates how measures transform under the homogeneous transform, providing insights into handling uncertainties in practical applications like chemical substance proportions.
Contribution
It introduces results on measure transformation under the homogeneous transform, addressing uncertainty considerations in practical contexts.
Findings
Derived measure transformation formulas
Addressed uncertainty in measure transformations
Applicable to chemical and other proportional data
Abstract
The homogeneous transform has many practical applications outside the realm of mathematics, for instance to represent the proportions of several chemical substances. We aim here to present results about the transformation of measures, which could be used to take into account the uncertainties of the quantities to be homogeneously transformed.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Matrix Theory and Algorithms · Statistical and numerical algorithms