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(In the worst mathematical case, he would fall to 19th, though that is improbable).
First, a mathematical case study presents an empirical proof for the feasibility of the Iterative Sampling and Fitting Algorithm.
A mathematical case is presented to demonstrate the use of the FORM in the estimation of failure probability, and the results are validated using the Latin hypercube sampling theories, including the Iman and Stein methods.
A good mathematical case can be made for diversification.
However the mathematical case does not fully parallel the moral one.
It is now time to turn to a concrete mathematical case where such structural connections have been found.
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Heinz was a mathematician who mathema- Hopf recognized important tical ideas and new mathematical cases.
(see Wright 1999, Horwich 2000 for further discussion) The problem here becomes even more obvious in non-mathematical cases.
Software can be verified by mathematical analysis, case analysis, extensive testing or a combination of the three, according to Parnas.
We present rigorous mathematical analysis, case studies to illustrate the issues, and insights which can prove useful in design.
MGDA is here briefly reviewed to outline its principal theoretical properties and applied first to a classical mathematical test-case for illustration.
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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