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Have a question about usage of mathematical jargon...

what are the differences between usage of "so that" and "such that"?

"z is a complex numbersuch thatRe[z]>0.": correct

"z is a complex numberso thatRe[z]>0.": wrong

but what about this case:

"Define zso thatRe[z]>0"

"Define zsuch thatRe[z]>0"

I really can't embarass myself when I write mathematical papers. please help.

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# So that and such that

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