#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## hypothesis

[* pl.* hypotheses; *see also*: assumption, conjecture]

We show that one can drop an important hypothesis of the saddle point
theorem without affecting the result.

The hypothesis f(0)≠ 0 causes no harm in applications, for if......

Assume, in addition to the hypotheses of Exercise 4, that......

We now bound v on <under> the hypothesis H_{m}.

We establish our results both unconditionally and on the assumption
of the Riemann Hypothesis.

In geometric language, the hypothesis is that F is......; part of the conclusion is that F satisfies......

the hypothesis of positivity [= the positivity hypothesis]

the hypothesis of F being projective\vadjust{\eject}

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