New invariants and dimensionless numbers: futile renaissance of old fallacies?

The necessity of the mathematical description of living processes and the recent advances in theoretical syntheses that fit surprisingly well with real data have led many scientists to experiment with new "generalizations," beginning with allometric equations. I present here, briefly, why...

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Main Author: ROBERTO F NESPOLO
Format: Article
Language:English
Published: BMC 2005-01-01
Series:Biological Research
Subjects:
Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-97602005000100004&lng=en&tlng=en
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spelling doaj-ba3b989513684a2dbfeabfa4bd72fd482020-11-24T20:49:03ZengBMCBiological Research0716-97602005-01-01381272910.4067/S0716-97602005000100004S0716-97602005000100004New invariants and dimensionless numbers: futile renaissance of old fallacies?ROBERTO F NESPOLO0Universidad Austral de ChileThe necessity of the mathematical description of living processes and the recent advances in theoretical syntheses that fit surprisingly well with real data have led many scientists to experiment with new "generalizations," beginning with allometric equations. I present here, briefly, why caution is needed when allometric equations are multiplied or divided to make new ones. This practice is flawed by old and recognized problems, such as the fallacy of averages combined with misunderstandings that include error propagation, misuse of statistics and confounding scale.http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-97602005000100004&lng=en&tlng=enFallacy of averagesdimensional analysisinvariantsallometric equationserror term
collection DOAJ
language English
format Article
sources DOAJ
author ROBERTO F NESPOLO
spellingShingle ROBERTO F NESPOLO
New invariants and dimensionless numbers: futile renaissance of old fallacies?
Biological Research
Fallacy of averages
dimensional analysis
invariants
allometric equations
error term
author_facet ROBERTO F NESPOLO
author_sort ROBERTO F NESPOLO
title New invariants and dimensionless numbers: futile renaissance of old fallacies?
title_short New invariants and dimensionless numbers: futile renaissance of old fallacies?
title_full New invariants and dimensionless numbers: futile renaissance of old fallacies?
title_fullStr New invariants and dimensionless numbers: futile renaissance of old fallacies?
title_full_unstemmed New invariants and dimensionless numbers: futile renaissance of old fallacies?
title_sort new invariants and dimensionless numbers: futile renaissance of old fallacies?
publisher BMC
series Biological Research
issn 0716-9760
publishDate 2005-01-01
description The necessity of the mathematical description of living processes and the recent advances in theoretical syntheses that fit surprisingly well with real data have led many scientists to experiment with new "generalizations," beginning with allometric equations. I present here, briefly, why caution is needed when allometric equations are multiplied or divided to make new ones. This practice is flawed by old and recognized problems, such as the fallacy of averages combined with misunderstandings that include error propagation, misuse of statistics and confounding scale.
topic Fallacy of averages
dimensional analysis
invariants
allometric equations
error term
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-97602005000100004&lng=en&tlng=en
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