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Discover LudwigThe phrase "as the equation implies" is correct and usable in written English.
It can be used when you want to refer to a conclusion or result that logically follows from a given equation or mathematical statement.
Example: "The solution to the problem can be found by substituting the values into the equation, as the equation implies that the result will yield the correct answer."
Alternatives: "as suggested by the equation" or "as indicated by the equation".
Exact(1)
As the equation implies, the item is assumed to precisely measure the construct.
Similar(59)
This together with the equation implies that (2.20).
Equal indices on one side of the equation imply a summation over the two spatial dimensions.
The HETGS-measured wavelength depends, as the grating equation implies, on knowing the diffraction angle, the diffraction order, and the grating average period.
As is known, the Poisson equation implies that the width of space-charge region in the diode structure is determined by the spatial distribution of space charge due to band bending.
The first equation implies that the subspaces can be built from Pm whilst the second and third equation specify that these projectors do not overlap and that they cover the whole Hilbert space.
The second equation implies.
Now, the first equation implies.
The second equation implies that (3.72).
Furthermore, simple inspection of the above equation implies strict positivity.
By (2.1) with, the previous equation implies that (2.11).
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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