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Assuming an instantaneous attitude motion simplifies greatly the problem and provides an analytical solution.
It should, however, be noted that the above model simplifies greatly the real situation.
The theory is formulated for general three-dimensional deformations, but simplifies greatly when specialised to the case of plane stress.
Using the trigonometrical relations sinphi=frac{tanphi}{sqrt{1+ tanphi)^{2}}}, qquad cosphi=frac{1}{sqrt {1+ tanphi)^{2}}} simplifies greatly the calculations.
The concept simplifies greatly the calculation of statistical parameters and the results obtained are very close to those derived directly from the original functional relation.
PVDF forms the shell of the nanofiber, whereas the core is conductive material, such as polyaniline, which simplifies greatly the fabrication of electrodes on single nanofiber.
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The company said it intended to simplify greatly the task of installing Linux and other open source software.
For the musical stage the tale has been simplified greatly and altered, too, with characters subtracted and added.
A federal law will simplify greatly the notification requirements, as it will allow for the standardization of the process and will help in setting expectations.
First, the physical world needs to be simplified greatly in some cases in order to provide a workable amount of data.
These are products of Bessel and trigonometrical functions, and so the required integrals simplify greatly, with a new recursion formula used to generate some Bessel function integrals.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com