One can, for example, take $A$ to be the rationals in $X$.
The parameter interval was here taken to be $(0,1)$.
Let us take $B$ as our range space.
Take as base for a topology on $X$ the sets of the form ......
The constant $C$ may be taken as double the constant appearing in (5).
Take for $H$ the set ......
Taking $y=x$ we get ......
......where the sup is taken over all intervals $I$.
It turns out that this is independent of the representations taken (as long as they are faithful).
The map $f$ takes $a$ to $f(a)$.
The map $f$ takes the value 1 for $t=1$.
The function $g$ takes its maximum at $x=5$.
The MR algorithm takes $n$ steps to solve the problem.
Following the same lines we find that it takes $k$ prolongations to get an immersed curve.
We take the same approach as in .
This procedure can be extended to take care of any number of terms.
Let us now take a look at the class $N$, with the purpose of determining how ......
A linear transformation takes us back to the case in which ......
Then (5) takes on the form ...... [Or: takes the form]
Here $f$ takes over the role of the time parameter.
The first 15 chapters should be taken up in the order in which they are presented, except for Chapter 9, which may be postponed.
First we take up the trivial case $h=0$.
In closing this section we take up a result which will play a pivotal role in the characterization of ......