[see also: arrangement, organization]
Comparisons are done in left-to-right order.
They are numbered in order of increasing diameter.
The diagram of $L+M$ is obtained by taking the rows of the diagrams of $L$ and $M$ and reassembling them in order of decreasing length.
in reverse order
arranged in increasing order
The interchange in the order of integration was legitimate, since ......
One is tempted to reverse the order of integrations but that is illegitimate here.
The first 15 chapters should be taken up in the order in which they are presented, except for Chapter 9, which may be postponed.
an element of order a power of $p$
an element of prime power order
Then $F$ has continuous $y$-derivatives of all orders $\langle$up to order $k\rangle$.
Thus $F$ vanishes to order 3 $\langle$to infinite order$\rangle$ at $x$.
Unfortunately, the details of the calculations were omitted, and there is some doubt on whether the result is correct since our analysis suggests that $P_2$ must vanish to third order; the presence of $L^{-2}$ is also suspect.
In all our analysis, only the order of magnitude of $P$ will be significant.
A form of the central limit theorem is used to show that for large $n$,$E(R_{n})$ is on the order of $c\sqrt{n}$, from which it follows that $E(R_{n}−S_{n})$ does not drop below the order of $n^{4/3}$.
First, some remarks concerning the term `closure' are in order.
In order to make our description of this process precise, we define ......
We partially order $M$ by declaring $X<Y$ to mean that ......
Let $P$ be the set of all intervals in $J$ ordered by inclusion.
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