Mathematical English Usage - a Glossary

by Jerzy Trzeciak

exist

Note that dim E, if it exists, is......

There exists a function f and a constant c such that...... [ Or: There exist a function f and a constant c]

The limit limx→ 0f(x) exists. [Not: “There exists a limit limx→ 0f(x).'']

What relations exist between A and B?


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