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The world's doomsayers – including Harold Camping – who have predicted the end of the world on various dates were collectively awarded the mathematics Ig Nobel "for teaching the world to be careful when making mathematical assumptions and calculations".
They rely on very specialized mathematical assumptions.
But, though the Standard Model works, it depends on many arbitrary mathematical assumptions.
These are considered as examples of mathematical assumptions that may not always reflect biological reality.
The Standard Model relies on a number of mathematical assumptions to make its predictions, and the next phase is to explain these.
Further, once such seemingly obvious assumptions as the commensurability of all lines turned out to be in fact false, then in principle all mathematical assumptions were rendered suspect.
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For 65 years, most information-theoretic analyses of cryptographic systems have made a mathematical assumption that turns out to be wrong.
The proposed method improves the precision of parameter estimates, and has wide application in modelling and control engineering without strict mathematical assumption.
It is shown that their basic mathematical assumption for the rate of earthquake-induced excess pore pressure generation overlooks sand fabric evolution effects during cyclic loading and eventually leads to underestimation of the drain effectiveness.
But ((A_{4})) is a mathematical assumption.
The assumption (2.24) is a mathematical assumption which allows us to prove the well posedness of the models.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com