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Discover LudwigSuggestions(5)
'the equation implies' is a correct and usable phrase in written English.
It can be used when referring to a mathematical calculation to suggest what the result of the calculation means. For example, "The equation implies that the end result of the experiment was positive."
Exact(9)
The equation implies that a relative change in the molar volume (ΔV/V) of the metal leads to a change in the plateau pressure according to Eq. (3), provided that the volume compression is elastic, hence remains intact upon hydrogenation of the metal.
This together with the equation implies that (2.20).
It is expected that the diffusive nature of the equation implies that the solution goes to zero when t → + ∞.
The periodicity of the equation implies that x(n + p; φ) is likewise a solution of the equation defined for n + p ≥ d.
The equation implies that the OBUs with small dwelling time, small tolerable playback delay, larger queuing delay, and larger amount of high-priority packets will be scheduled first.
The mappings and are weakly compatible if they commute at coincidence points, that is, for each point such that, then (note that the equation implies that is a singleton).
Similar(51)
The equation implied that the constant with a value of 85.53 (see Eq. (4)) which is independent of any factor or interaction between factors suggests that the average removal of As III) by MPKSF was 85.53%.
Equal indices on one side of the equation imply a summation over the two spatial dimensions.
The use of this equation implies the use of PaCO2 as surrogate for alveolar carbon dioxide.
The nature of this equation implies that boundary conditions must be applied to solve it.
} end{aligned}which is the same since the first equation implies that the extra term in the second vanishes.
More suggestions(16)
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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