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Exact(6)
Note that for continuous random variables it is necessarily dependent upon the exact partition of the distribution into a histogram of values that can be summed.
Our study hypothesis was not necessarily dependent upon a causal link between increasing ACR and onset of diabetes.
We propose that a microbiome's interaction with its human host is not necessarily dependent upon the presence or absence of particular bacterial species, but instead is dependent on its community metabolome; an emergent property of the microbiome.
Thus, by using the ERβ selective ligand, the anti-inflammatory effect from the neuroprotective effect of oestrogen treatment were dissociated and it was shown that neuroprotective effects of oestrogen treatment were not necessarily dependent upon anti-inflammatory properties.
Therefore, these data suggest that the mutant forms of p53 may have sexually antagonistic effects on Drosophila life span that are not necessarily dependent upon the presence of a wild-type p53.
These benefits are not necessarily dependent upon the loss of a prior job.
Similar(52)
A body no longer necessarily depends upon its original system of organs; meanwhile, within certain tolerances, organs and systems of organs are no longer necessarily dependent on the body that used to maintain them.
Our talk turns to philosophy and the book Nomadology: the War Machine by Gilles Deleuze and Felix Guattari comes up, which Tate admired for its "sense of cultural solidarity expressed without necessarily being dependent upon property or a standing army", of understanding "that one's sense of power is being able to improvise existence with whatever is at hand".
The assumption of maximal rates of biomass production involves an objective at the cellular level, whereas in multicellular organisms a given cell's objective is likely to be realised via survival at the organism level, which may not necessarily be dependent upon the growth of the cell.
All creation is necessarily and eternally dependent upon God.
This will necessarily differ depending upon the question.
Related(13)
obviously dependent upon
really dependent upon
always dependent upon
absolutely dependent upon
strictly dependent upon
entirely dependent upon
essentially dependent upon
certainly dependent upon
inherently dependent upon
intrinsically dependent upon
necessary dependent upon
necessarily transferrable upon
necessarily contingent upon
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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