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For that Morris uses a different argument.
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Finally, using a different argument, we also prove that in the case p= 1, and for arbitrary weights w∈B1, ∥w∥B1 is the best constant in the corresponding inequality.
Each national argument uses a different political vocabulary and historical context, making them hard to reconcile at the best of times and harder still when the going gets tough.
The argument in [9] uses a different quantity, which involves the norm of the second fundamental form.
Pybus uses a different lens.
Quebec uses a different language.
Thus, if fictionalists are going to argue against platonism, they're going to have to use a different kind of argument.
(He used a different, though still dubious, argument).
For another opponent, who thinks that not the xs but the ys are substantial a different argument has to be used.
Built on this geometric approach, Thompson [5] extended Nudel'man and Švarcman's result by giving an even more general version of Theorem 1. (Note that Nidel'man and Švarcman as well as Thompson used a different convention in which all arguments of the eigenvalues are taken from the interval [0, 2π). Nonetheless, the convention does not affect the conclusions of Theorem 1).
Facebook used a different approach.
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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