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The cubature formula not only generates unequal-weighted collocation samples, which has much faster convergent rate, but also provides the target variance of the performance function to terminate the iterative process.
When student calculates some mathematical formula; not only the final result is interesting for us but also the deduction process is important too.
For Lynch, Bryce's ability to defy the standard candidate formula not only gives a boost to Democrats, but also the party's progressive wing, which has sometimes fought for the party to get behind candidates without deep pockets and a more traditional pedigree.
Formula not only increased infants' vulnerability to disease, it could also be dangerous if mixed with unsafe water.
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The most lasting formulas not only reveal something about the culture that shaped them but in turn shape the culture that comes after them.
We also prove that these formulae not only are valuable for studying the geometric properties, such as subdivision, of the curves and surfaces constructed by this generalized Ball basis, but also can improve the computational speed of the Bézier curves and surfaces.
One might contend that the understanding of (closed) formulas not only as meaningful sentences but also as sequences of symbols on paper is as crucial to Schönfinkel's procedure as it is to Gödel's first incompleteness theorem.
The use of such formulae not only overcomes problems associated with the variable prognostic power of each individual clinicopathologic factors in the different molecular classes but also provides a way of incorporating biological and clinical variables in a scientifically and clinically relevant way (Dunkler et al, 2007).
The relationship between examination length and reliability is formalised in the Spearman-Brown formula: The Spearman-Brown formula shows not only that in order to increase the reliability of an examination it has to be made much longer, but it also shows by how much longer.
There is room to argue about the proportions and the timing, and small differences can produce large consequences, but the basic formula is not only common sense, it is mainstream economic science, tested many times in the real world.
Senna's tragically premature death due to his accident at Imola in 1994 took from Formula 1 not only its greatest star, but also the prospect of a fascinating duel between two full-blooded racers.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com