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Then the resulting expressions have the same forms as Eqs.
The solutions assume that the approximate solutions for the power-law type of kinetics are of the same forms as those for pseudo first order reaction under otherwise similar reaction conditions.
It is shown that a reference state often used to define relative availability or exergy yields relative energy and relative entropy balance equations that do not have the same forms as the corresponding balance equations for absolute energy and entropy.
In this scheme, the formulas used to compute these quantities can be expressed in the same forms as in the original material point method, but with the gradient of the shape function modified.
U ˜ n and V ˜ n have the same forms as U n and V n, respectively, except replacing M n with M ˜ n, then we can obtain a new solution M ˜ n from the old one M n of (1).
Theorem 1 Matrices U ˜ n and V ˜ n determined by (23) and (24) have the same forms as U n and V n respectively, where the transformation from the old potential M n into the new one M ˜ n is given by M ˜ n = M n a n + 1 ( − 2 N − 1 ) − b n + 1 ( − 2 N ).
Similar(52)
This has the same form as the Sanskrit poem, though a different emphasis.
Pendleton had already indicated, though, that she does not have the same form as 2008.
The sport that has grabbed the world is in the same form as 1888 [when the Football League was founded].
The vapour pressure curve of water has the same form as the curves for many other substances.
The distribution, which will begin this spring, will enable Times readers to see the newspaper on their computers in the same form as it appears on newsstands.
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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