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Positivist methods and mathematical modelling do not operate in a sterile world rid of political dynamics and influence (Bell 1976; Bayer and Edington 2009; Granich et al. 2009; Wagner and Blower 2009).
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The mathematical models don't tell us that we can't change our weight.
O'Neil's book explains how other mathematical models do a similar thing – such as the ones used to measure the likelihood an individual will relapse into criminal behavior.
The system is too complex to be run on error-strewn hunches and gut feelings, but current mathematical models don't represent reality adequately.
(Exactly how sand moves in water is a matter that even the most complex mathematical models don't really explain. Einstein reportedly advised his son Hans not to pursue a career in sedimentary transport, because it was too complicated).
People who try to do economics without any kind of mathematical modeling do indeed say things like that — and it's very hard to explain why it's self-contradictory nonsense without a bit of math.
Fractals are multiscale objects, which often describe such phenomena better than traditional mathematical models do.
Traditional mathematical models do not allow mechatronic systems to be described at all levels on common formal basis.
Existing mathematical models do not account explicitly for solute recycling during irrigation on a daily scale, which is considered as an important salinization input.
Indeed, physics, mechanics, and other natural sciences have been developed greatly during the last 50 years, and today they investigate such processes and phenomena that those mathematical models do not fit into the frames of the classical differential problem.
In some cases where mathematical models do exist and lead to satisfactory results, fuzzy logic may still be used either to improve or simplify the process or to compare with a benchmark.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com