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To the vast majority, however, it, or an equivalent assertion, has become an indispensable and commonplace tool.
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Using the equivalent assertions to the above, we obtain (y^in operatorname {GMEP}(G,S,varphi)).
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.
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 ).
AC1 is then equivalent to the assertion AC2: Any indexed collection of sets has a choice function.
Proposition 1 In a semimetric space, Axiom III is equivalent to the assertion that limits are unique.
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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