#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## identify

As a first step we identify the image of Δ.

Letting m→∞ identifies this limit as H.

Using the standard inner product we can identify H with H^{*}.

The tangent space to N at x is identified with M via left
translation.

The resulting metric space consists precisely of the Lebesgue integrable functions, provided we
identify any two that are equal almost everywhere.

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