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Long division solves the mathematics of inverse convolution

Authors: B. J. Evans;

Long division solves the mathematics of inverse convolution

Abstract

From time to time during my lecturing in geophysics, I have to explain the logical understanding and application of seismic exploration. Occasionally, I come across seismic processing methods which I cannot simply explain, apart from having to refer students to appropriate mathematical literature. On one recent occasion, I had the opportunity to explain the basic mathematical process of convolution. I simply explained that by convolving two waves together as discrete time series, we could produce their convolved response. The mathematical treatment is very simple and found in many books.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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