[see also: select
This implies that however we choose the points yi, the intersection point will be their limit point.
In fact, we are at liberty to choose the function f, so we set f=......
Where we could, we have chosen these examples from naturally occurring mathematical structures. [Not: “choosen''; also, note the double r in occurring.]
......where C is so chosen <chosen so> that......
......where C can be chosen independent of n.
Here a and b are chosen to satisfy......
Here Y is a Poisson variable suitably chosen to approximate X in distribution.
If A is such an operator (appropriately chosen) then......
However, the space Z depends crucially on the particular ambient algebra A chosen.