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"on general grounds" is correct and usable in written English.
You can use it to indicate that you are considering a position or opinion based on broad and general principles, rather than specific details or facts. For example, "On general grounds, I believe that all children should have access to quality education."
Exact(11)
On general grounds one expects that the experimental signal can be decomposed into two contributions: (1) where ISP(c) is the specific signal due to the hybridization of the surface-bound probe sequence with a complementary target sequence.
The justification for this assumption was provided by Phillips [36], who argued on general grounds that metal ligand overlap gives rise to the "nonorthogonality" and "renormalization" terms.
On general grounds, fitting the low-energy portion of the phonon density of state as a parabola, as commonly done, might lead to an underestimation of the Debye velocity (Chumakov, 2014).
Regarding his social thought, the importance of individuals' behaviour in explaining the nature and operation of social movements and institutions would require investigation, rather than a pronouncement based purely on general grounds.
This section considers a final possibility: accepting ethical supervenience, but denying on general grounds that it can play a significant role in the sorts of arguments discussed in Sections 3 and 4. Consider two ways of implementing this idea.
We are taking it as given that the leap year fact is not a moral reason, but the objection insists on general grounds that it is implausible to suppose that there is no explanation of its failure to be a reason.
Similar(47)
We present a general algorithm for the construction of long-range string and brane orders in general systems with entangled ground states; this algorithm relies on general ground states selection rules and becomes of the broadest applicability in gapped systems in arbitrary dimensions.
Feyerabend suggested that the two theories in question were incommensurable, but that nevertheless we ought to prefer the materialistic one on general methodological grounds.
Suppose that Sally has reason to believe, on purely general grounds, that there is exactly one person at Disneyland and that whoever is at Disneyland is a happy person.
The decision to do so was, however, taken on more general grounds.
I ranked states by the McCain margin in 2008, and decided to define the swing states as the range in that ranking from Missouri to New Mexico, on the general grounds that Obama ain't gonna take Montana, and despite our loud governor, I very much doubt that Romney can take New Jersey.
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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