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The general coordinate system.
The obtained representations are invariant under general coordinate transformations.
We next state the strong conservation form for time-dependent general coordinate systems.
2, we consider a general coordinate transformation, which recasts the dynamics of a system in terms of phase-amplitude coordinates.
Remark 3. The FRW metric is a solution of EGR which is invariant under general coordinate transformations.
Two general coordinate systems have been used extensively in computational fluid dynamics: the Eulerian and the Lagrangian.
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"After discussions with other regulators and authorities, we have concluded that it is in the interests of the company to seek a more general coordinated settlement," it said in a statement.
The commander of each of these zones, a four-star general, coordinates all DoD activities in that area.
However, a generalization of this expression useful for general coordinates (not just Cartesian) and general spaces (not just Euclidean) takes the form: :ds^2 = \sum_{i,j}^n g_{ij}\, dx_i\, dx_j where gij is called the metric tensor.
Our initial motivation to study more general coordinates comes from the idea to generate problem-oriented coordinate systems for astrophysical numerical calculations.
All the strain measures discussed here are formulated in the general coordinate-free form.
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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