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[Here, we accept the proposition and other presented propositions without proof. For considering the complete proof and further reading of these propositions, please refer to Azevedo and Paxson (2010, 2014) and Nishihara (2011)].
Proof For simplicity, consider the monomial P ( D q ) = D q, x m.
This is my six-point guide for considering the science R&D settlement 1) Consider only real terms figures These are inflation-proof.
But to have closed politics and closed minds together is a recipe for disaster; for proof, consider the current fate of the Arab states.
For proof, consider Ernesto Bertarelli, chief executive of Serono, Europe's biggest biotechnology firm.
For proof, consider what might be called the first Afghan coalition: the so-called United Nations "six plus two" group.
For proof, consider this summer's haul: a whole bunch of books about tough women who swing on that tired spectrum between sociological victim and reactionary rebel -- but sometimes, happily, manage to break free.
For proof, consider the following strange assortment of TV cartoons: Japanese anime; shows that were canceled by networks; a cheap original or two; and second-rate Hanna-Barbera action series that have been cut up and repurposed.
For proof, consider the 2016 Republican presidential candidates – almost all favouring a more assertive US policy overseas – who now queue up to say how they would have opposed the 2003 invasion, had they known the facts about Saddam's non-existent WMD.
For proof, consider a $50 million (annual sales) manufacturing family business I started working with in 2008.
For proof, consider this Virtual Reality Karaoke video from 1993.
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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