Analysis of geophysical signals by using hilbert space geometry

The contribution presents some results achieved by the authors during several years of research of the process of rotary drilling of rocks by using metric spaces. The authors successfully apply this approach in the solution of specific problems in geophysics and also metallurgy. The authors use abst...

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Bibliographic Details
Published inMetalurgija Vol. 58; no. 1-2; pp. 120 - 122
Main Authors I. Leššo, B. Pandula, P. Flegner, J. Baulovič, K. Feriančikova
Format Journal Article
LanguageEnglish
Published Croatian Metallurgical Society 01.01.2019
Subjects
geophysical signal
inner product operation
rocks disintegration
rotary drilling
the Hilbert space
visualization of process
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Summary:The contribution presents some results achieved by the authors during several years of research of the process of rotary drilling of rocks by using metric spaces. The authors successfully apply this approach in the solution of specific problems in geophysics and also metallurgy. The authors use abstract structures – so called Hilbert spaces - for the implementation of process signals as algebraic vectors. The geometric structure of these spaces enables mutual metric comparisons of geophysical signals in relation to the rock type and the mode of drilling. Some space is also given to the visualization of the degree of divergence between geophysical or process signals being analyzed.
ISSN:0543-5846
1334-2576