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To this purpose, Carman Kozeny equation is rewritten in a differential form suitable for the peculiar characteristics of two-component systems.
If the equation is rewritten in the form OP2 = 1 V1 2 + 0V1V2 + 0V2V1 + 1 V2 2,the full set of components (1, 0, 0, 1) of the metrical tensor is apparent.
In the first, the differential equation is rewritten in a form that does not contain the square-root expression, while in the second the differential equation is solved directly.
To solve the nonlinear differential equation, firstly we make a change of variable and secondly the differential equation is rewritten in a form that does not contain the square-root expression.
In the first the differential equation is rewritten in a form that does not contain the y−1 expression, while in the second the differential equation is solved directly.
In this approach the classical wave equation (e.g., Maxwell's equations, acoustic equation, elastic equation) is rewritten in Schrödinger form, leading to the study of the spectral theory of its classical wave operator, a self-adjoint, partial differential operator on a Hilbert space of vector-valued, square integrable functions.
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The Scatchard equation
In the first approach Maxwell equations are rewritten in their mixed-potential form.
The corresponding equations are rewritten in terms of new variables adapted for numerical studies.
The Maxwell equations are rewritten, by means of the Lorentz potentials, in a form which conserves these divergences.
In the first stage, the multi-layered shallow water equations are rewritten in a non-conservative form and the intermediate solutions are calculated using the method of characteristics.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com