[see also: different]
Every region in the plane (other than the plane itself) is conformally equivalent to $U$.
Clearly, $A_{\infty}$ weights are sharp weights. That there are no others is the main result of Section 2.
Then $V$ has the following invariant subspaces, and no others: ......
The others being obvious, only (iv) needs proof.
It follows that the semigroup $S_t$ is none other than $e(t)T$.
The identity $p(A)=0$ is nothing other than the Cayley-Hamilton theorem.
Each vertex is adjacent to $q$ others.
The other inequality is just as easy to prove. [= the other of the two mentioned]
the other end of the interval
In this and the other theorems of this section, the $X_n$ are any independent random variables with a common distribution.
One of these lies in the union of the other two.
On combining this with our other estimates in (3.5), we deduce that ......
Any other unexplained notation is as found in Fox (1995).
The next corollary shows among other things that ...... [Not: “among others”]
Our result generalizes Urysohn's extension theorems, among others. [= among other theorems]
These $n$ disjoint boxes are translates of each other.
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