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The results are presented in exact form for an elliptic inclusion and numerically simulated for a finite number of terms for purposes of verification.
An exact form for the distribution density of the phase difference measured at two space points is obtained, and from second order phase statistics the spatial phase correlation function is derived.
The fact that we have an exact form for the distribution allows us to make further important observations about some of its characteristics.
A coffin certainly seems to have existed; John Evelyn recorded it on a visit in 1654, and Celia Fiennes wrote in 1700 that she had seen "a piece of his tombstone [sic] he lay in, which was cut out in exact form for his body to lie in; it remains to be seen at ye Greyhound [ Inn in Leicester but is partly broken".
We leave U, the rate of testosterone influx into the intracellular prostate compartment, an unspecified function of the serum testosterone level, The exact form for this function is determined empirically in the section on parametrization.
I think it is important to determine the exact form for this type of law - as has already been done jointly by the European Parliament, the Commission and the Council in Community provisions.
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As one part of this ongoing work, we reconsidered in this paper products of generalized inverses of two matrices, established a group of exact forms for calculating the ranks of the products, and described many performances of the products via the rank formulas.
Because the employed real-time listening test is a new procedure and because the exact form of the test for the evaluation of the noise reduction algorithms is not yet available, we developed a test procedure according to the perceptual evaluation preparation process suggested in [74].
Baywatch A league of their own Tony Blair's Waterloo Pot on prescription Waiting for news The gong show Not so slick About turn ReprintsThe exact form of public-private partnership for air-traffic control is still to be decided.
Moreover, there are many choices for the exact form of the network equations once the network is fixed.
If the exact form of f is known (for example, if f is convex and its derivative is known), then the optimization procedure would be much simpler.
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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