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Using the equivalent assertions to the above, we obtain (y^in operatorname {GMEP}(G,S,varphi)).
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To the vast majority, however, it, or an equivalent assertion, has become an indispensable and commonplace tool.
The study – carried out over the past three years at the University of Kansas in the US grain belt – has found that GM soya produces about 10 per cent less food than its conventional equivalent, contradicting assertions by advocates of the technology that it increases yields.
For as we can now see, the assertion \ \textbf{PH} = \Sigma^P_k\) for some \ k\) is equivalent to the assertion that the problem of determining whether Verifier has a winning strategy for \(n\ -round verification\ -rounds no harder than that of deciding this question for \(k\)-round games for all \(n \geq k\).
From this we can see that the assertion that an inertial frame exists imposes a global structure on spacetime; it is equivalent to the assertion that spacetime is flat.
Among other theorems Lambert proved is that the parallel axiom is equivalent to the assertion that the sum of the angles of a triangle is equal to two right angles.
Since and is equivalent to the assertion follows.
Since and is equivalent to the assertion follows. .
AFA is equivalent to the assertion that (V, j) is a final coalgebra for ℘ on Class.
In a semimetric space, the assumption (W) is equivalent to the assertion that limits are unique.
This is equivalent to the assertion that 2 n + 1 ≥ n ( n + 1 ).
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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