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Note that without of the description of the needle of Sciadopitys in the notation of CIT, it would not be obvious that the two treatments are equal in terms of simplicity.
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For example, the bending strength under a positive field of 20 kV/cm is only one half of that without application of any electric field.
Mr Howard might reflect that without years of frothing Tory Europhobia, there would be no UKIP.
Case 2. Suppose that, without loss of generality we let.
We observe that, without loss of generality, one can assume that (S_{d}subseteqmathcal{R}_{d,tilde{delta}}).
"This was kind of our way of doing that without spending a lot of money".
That is without, of course, infringing on the laws of each country.
Some of that, without question, is about race.
Now you can do all of that without talking.
I can do all of that without breaking the bank".
He could never have done any of that without it".
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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