Mathematical Abbreviations

Here is a short list of mathematical abbreviations which troubled me the first time I graded students’ papers. You should be familiar with these words if you have used English as your first language in mathematics for years. But for students who has no experience of writing maths in English, this list might help.

Abbreviation Definition
ETS / ETP / STP enough to show / enough to prove / sufficient to prove
FSOC / FSOCWMA for sake of contradiction / for sake of contradiction, we may assume
NTS / WTP / WTS need to show / want to prove / want to show
TFAE the following are equivalent
W^5 which was what we want
WLOG / WALOG / WLOGWMA without loss of generality / without any loss of generality / without loss of generality, we may assume
WRT with respect to

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