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This is an example of the general rule for finding components of vectors.
The introduction of a special reference frame or coordinate system establishes a correspondence between vectors and sets of numbers representing the components of vectors in that frame, and it induces definite rules of operation on these sets of numbers that follow from the rules for operations on the line segments.
The components of vectors and tensors are given in normalized bases.
We use yk for indexing of individual components of vectors and individual components of tuples of functions, where y k ∈ Y k.
where the components of vectors, s1 and s2 are, respectively, the NQ samples of the baseband signals s1 t) and s2 t) in the block (7).
where (varepsilon _{ik}^{0}) are the components of strain tensor for a solid elastic material without cracks, n i are the components of vectors normal to the faces of cracks, F(Z) is the function of set of parameters Z such as characteristic size of crack R and its orientation, and U i are the components of the jump of displacement averaged over the faces of cracks.
Similar(53)
Integration goes over all the components of vector u.
which gives the estimated position of the node as the first and second components of vector.
We then calculated the divergence and rotation components of vector motion from these derivatives of the three-component seismograms.
where ( {p}_0left overrightarrow{y}right) ), ( {p}_1left overrightarrow{y}right) ) … ( {p}_mleft overrightarrow{y}right) ) are 0 to m components of vector ( overrightarrow{p} ) and q 0, q 1…q m are 0 to m components of vector ( overrightarrow{q} ).
This result is not always physically meaningful, but (subsets of) the components of vector s ^ are often much more readable than the original multispectral image.
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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