[see also: selection
Thus F is independent of the choice of the family S.
Indeed, it is routine to verify that the index so constructed is independent of the choices made.
The choice of A is clearly irrelevant, so assume A=0.
With this choice of b,......
Corresponding to each choice of V there is a function f such that......
The problem is that, whatever the choice of F, there is always another function f such that......
This just amounts to a choice of units.
There are O(1) possible choices for x.
By choice of V,......
Our choice of V shows that......
Where there is a choice of several acceptable forms, that form is selected which......
It is the freedom of choice of D in this construction that enables us to......
On the other hand, there is enormous ambiguity about the choice of M.
In order to carry out the construction, we must make a judicious choice of P.