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However, the suggestion of a equivalence between the anti-Bush voices from 2001-2008 and the anti-Obama voices of today is false.
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The sampling identity and the interpolation identity establish an equivalence between a continuous-time filtering and a discrete-time filtering involving sampling rate conversion in the LCT domain.
It is primordial to assess that there is an equivalence between an object and a set of objects.
It was shown in [4], [30] that there is an equivalence between a Poincaré inequality, the existence of some Lyapunov function and the exponential integrability of hitting times.
Ref. [28] shows that there is an equivalence between an empirical rank-value distribution and the empirical cumulative distribution of scores (or frequencies) available from the data.
Finally, we also prove an equivalence between both-sided quaternionic Hermitian monogenicity and a certain integral conservation law.
The first part of this paper is focused on an equivalence between the presence of inhibitory neurons and a reduction of the network connectivity.
The EU's draft text for a trade and sustainable development chapter also appears to draw an equivalence between the need to prevent trade distortions and the fight against climate change.
Thus we have a functor (a^*:mathcal {C}rightarrow sigma _dagger ^*sigma ^*mathcal {C}), this functor is an equivalence by Definition 5.8 (i), and this equivalence induces an equivalence between the categories of special sections.
It's an illuminating point of comparison, even if I'm hesitant to join Urback in drawing an equivalence between on-going (at the time) sexual harassment allegations and a context-less, withdrawn assault charge from years before.
As for suggesting an equivalence between new and old, "I wouldn't," he says.
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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