#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## this

[*see also*: it

This is because the factor M satisfies......

This is why no truncation is required here.

(This is where the local convexity of E is needed.)

This says that the real part of g is......

We shall assume that this is the case.

For K, this is no longer true. [* Compare*: For K, it is no longer
true that......]

In order to justify this, we now show that......

We leave this as an exercise.

In this and the other theorems of this section, the X_{n} are any independent random variables
with a common distribution.

In more detail, the assertion is this: if......

Adding over n=0,1,... leads to this result:......

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