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Discover LudwigThe phrase "above entail" is not correct in standard written English.
It may be intended to refer to something mentioned earlier in a text, but it lacks clarity and proper grammatical structure.
Example: "The requirements outlined above entail a thorough understanding of the subject matter."
Alternatives: "previously mentioned" or "aforementioned".
Exact(1)
If Ω' denotes the set of functions obtained by applying all polynomials of elements of {φ[f ]: f ∈Σ} onto the unique vaucuum state, then the axioms mentioned above entail that Ω' is dense in Η (asymptotic completeness) and that Ω'⊂Ω (domain axiom).
Similar(58)
But the scenario outlined above would entail increasing global production and consumption to about seven times this level.
Thus, it reveals whether it is possible to trust the data, because high values of alpha (above.70) entail an unbiased set of items and sample (Cohen and Swerdlik, 2009).
The quon string-genus relation (above) entails the Hopf algebra relation (below).
If that is also how it will continue, world without end, then Smart's so-called theory -- as formulated above -- entails that there is nothing.
Finally, each of the commitments outlined above entails that feminist researchers make reflexivity a central virtue.
It is worth noting that none of these cases of failure of transmission of justification considered above entails failure of epistemic closure.
At the end of the conference, message is known at terminals The procedure explained above entails the following constraint on the common rate: (B.1).
The humanisation process of healthcare spaces, as highlighted above, entails the adherence to a holistic approach that considers people, spaces and activities not only as individual components of a system, but rather as elements in relation to each other.
The classical view sketched above entails a violation of this: the impact of the observed data may be different depending on the probability of other samples than the observed one, because those other samples come into play when determining regions of acceptance and rejection.
How we treat people is determined by the notion of righteousness (yi), which is based on intrinsic goods such as social order (zhi), the Mohists' conception of which, as we saw above, entails that we do more for those standing in close relationships to us.
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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