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The coordinates are simply defined and measured and their use results, for a non-reactive solute, in a non-linear diffusion equation, solutions of which are available for many practically important initial and boundary conditions.
But it also requires thoughtful solutions, of which many more are needed.
The pharmaceuticals industry presents chemical engineering problems, the solutions of which have been essential to the availability of modern drugs.
A manipulation of the four equations for the electric and magnetic fields led Maxwell to wave equations for the fields, the solutions of which are traveling harmonic waves.
I mean, they've completely disenfranchised the very people we've actually elected!" But what she's particularly keen on is that people pay attention to her solutions, of which there are a few.
The fictitious charge −q′ behaves somewhat, but not exactly, like the image of q in a spherical mirror, and hence this way of constructing solutions, of which there are many examples, is called the method of images.
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"In your case, I was intrigued by a simple problem, the solution of which seemed to be stalled.
Create an informational poster in which you provide at least one real-world problem (for each field) the solution of which requires the use of probability.
The resulting wave equations are of Boussinesq type, the solution of which being elliptic functions.
LMI conditions are analytically derived solution of which gives the observer design matrices.
The method yields linear algebraic equations, solution of which gives the controller parameters.
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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