#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## so

[*see also*: consequently, hence, thus, therefore, way

Indeed, it is routine to verify that the index so constructed is independent of the choices made.

The constants are so adjusted in (6) that (8) holds.

......where C is so chosen <chosen so> that......

The control problem is to choose an investment strategy so as
to minimize......

The first of these was suggested by J. Serrin, who showed
how to modify my earlier treatment of...... so as to obtain stronger results with no extra effort.

The ordered pair (a,b) can be chosen in 16 ways so as not to be a
multiple of (c,d).

Thus A is compact, and hence so is B.

Consequently, A is compact. Therefore, so is B.

Since R is polynomial in x, so also is P.

We have been working under the assumption that...... Suppose now that this
is no longer so.

If this is so, we may add......

If this is not so, a linear fractional transformation will make it so.

Then F is bounded but it is not necessarily so after division by G.

A geodesic which meets bM does so either transversally or......

This shows that the sequence (1) is bounded below, and so the
definition of L(f) is meaningful.

Then a=b, so that f is not injective.

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