#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## standard

[*see also*: common, customary, familiar, usual

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

The standard proofs proceed via the Cauchy formula.

A standard verification shows that......

It is a standard fact that......

Let us sketch the proof of the first estimate, which is a variation of standard arguments.

But the T_{n} need not be contractions in L^{1}, which is the main obstruction to applying standard arguments for densities.

Although standard, the notion of a virtual vector bundle is not particularly well known.

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