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In Section 2, we have derived an explicit expression in formulas (23), (24), and (25) for the dependence which produces valuable insights.
Time reversal, in physics, mathematical operation of replacing the expression for time with its negative in formulas or equations so that they describe an event in which time runs backward or all the motions are reversed.
I do not believe in formulas.
This expression is determined by the penetration thickness variation in the depletion layer shown in Formulas 2 and 3.
Algebraic manipulation of these expressions results in explicit formulae linking the model's biological parameters which generalise those in [ 10].
Comparative analysis shows that the results of the present formulas agree with the numerical flume results as well as available experimental data, and the present formulas are superior to the existing empirical and analytical expressions in estimating the transmission coefficient.
These expressions are general formulas which allow to measure in-band distortion at the PA output.
Most strikingly, our new formulae for bi-materials preserve the same simplicity as the classical expressions in the full space.
Thus, when interpreting a bound variable, we must assume that it ranges over a specific type of entity, and so types must be assigned to the other entities represented by expressions in the formula, in observance with the theory of types.
Such features included boolean expressions, formulas and table subscripts (indices).
They will be filled in with formulas.
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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