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The linearity of the production function, or in other words the absence of decreasing returns to scale guarantees this result.
Bragman's master strategy does not mitigate the loss of a women's right to choose but rather guarantees this result.
Even if the calculated degree of empathy is high, nothing in the test guarantees that this result is indeed based on a transposition into the mindset of the other individual.
But this is no guarantee the results would have been maintained – revenues might have decreased, just as they could have risen.
While this procedure cannot guarantee the resulting dataset to be one composed exclusively of pure chromatographic peaks, it is quite conservative, because any contamination would tend to inflate the resulting x-statistics, which, in turn, would lead us to reject the validity of the GOF test.
This result guarantees the correct generalisation of the multiplicative transitivity property of reciprocal preference relations (RPRs), and it allows the multiplicative consistency (MC) property of IRPRs to be defined.
This result guarantees the bid truthfulness of the candidate relays and thereby eliminates the possibility of market manipulation.
It is important to remark the fact that this result guarantees the existence and uniqueness of non-negative and essentially bounded solutions of the particular biofilm model (11).
This result guarantees, in particular, the existence of fixed points in nearly uniformly convex spaces (because if is NUC), giving a positive answer to one of the previous open problems proposed by Xu.
This result guarantees that if a pdf f satisfies the conditions of (15), then there exists an optimal quantizer q for f in the sense that for any decreasing λ converging to 0, its optimal performance is ξ k.
This result guarantees the existence of λ 0 > 0 such that, for fixed λ ˆ ∈ ( 0, λ 0 ), system (26) has an isolated T λ ˆ -periodic solution u λ ˆ = ( u 1 λ ˆ, u 2 λ ˆ ).
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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