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With the help of one other mathematical assumption, it was then possible to solve the single-series prediction problem by specifying an algorithm that would determine the coefficients in the linear combination for Sk, in which k is a positive integer (see 4).
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.
In this scheme, communication is possible between the specified source and destination in VANETs under a certain mathematical assumption.
The proposed method improves the precision of parameter estimates, and has wide application in modelling and control engineering without strict mathematical assumption.
Only the real part was used to ensure consistency with the mathematical assumption that the distortion operator is a (2times 2) tensor of real-valued numbers.
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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.
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.
The Standard Model relies on a number of mathematical assumptions to make its predictions, and the next phase is to explain these.
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