Mathematical English Usage - a Dictionary

by Jerzy Trzeciak

however

[see also: but, though, nevertheless, matter

1
In this section, however, we shall not use it explicitly.

That approach was used earlier in [2]. There, however, it was applied in simply connected regions only.

[Do not use “however'' as a simple substitute for but.]

2
This implies that however we choose the points y_i, the intersection point will be their limit point. [= no matter how we choose]

However small a neighbourhood of x we take, the image will be......

Then M_n(x)=0 for every x, however large.