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Pi represents a mathematical limit: an aspiration toward the perfect curve, steady progress toward the unreachable star.
Yet the biggest problem was the strict mathematical limit on the Internet's size, as written into the forerunner to BGP, called EGP, for Exterior Gateway Protocol.
The correspondence between this mathematical limit and the experimental reality has been investigated by using a number of data sets taken from the literature and generated under uniaxial as well as under multiaxial fatigue loadings.
For this purpose, we used general mathematical limit theorems, namely, the theorems of EVT.
The latter being the so-called repeated-powers function obtained in the mathematical limit p 2 → p 1 (Royston and Sauerbrei 2005).
Although they call this limit "Bohr's correspondence principle", they note that Bohr was able to obtain the correct classical orbital frequency precisely "because he did not take the mathematical limit as the quantum number goes to infinity.
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Olympics: are the fastest and strongest reaching their mathematical limits?
Additional mathematical limits on the envelope parameters are also considered.
Assumptions like this place powerful mathematical limits on the behavior of the model, and this accurately simulates the single spike shapes that the data shows.
Numerical application to a lumped parameter structure is employed to validate the mathematical limits taking into account different subsets of mode shapes.
This paper demonstrates that the case of slow chemical reactions is not a simple mathematical limiting case of already known equations of electrochemical mechanisms but one which has actually a physical singular behaviour, relevant of a true homogeneous regime of the mass transport and chemical kinetic competition.
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