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\language english
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\begin_body

\begin_layout Title

Test of AMS-Book Style
\end_layout

\begin_layout Author

David L.
 Johnson
\end_layout

\begin_layout Address

Department of Mathematics
\newline
Lehigh University
\newline
Bethlehem, PA 18015
\end_layout

\begin_layout Current Address

Home
\end_layout

\begin_layout Email

dlj0@lehigh.edu
\end_layout

\begin_layout URL

http://www.lehigh.edu/~dlj0/dlj0.html
\end_layout

\begin_layout Keywords

Test
\end_layout

\begin_layout Thanks

To Emmanuel, for forcing me to fix this, and Jean-Marc, for making it possible,
 and necessary.
\end_layout

\begin_layout Dedicatory

To my wife.
\end_layout

\begin_layout Translator

Joe
\end_layout

\begin_layout Subjectclass

Primary: 12G34, Secondary: 09G87
\end_layout

\begin_layout Chapter

Beginning.
\end_layout

\begin_layout Section

Introduction
\end_layout

\begin_layout Standard

This file, using the amsbook layout, numbers all results, Theorems, Definitions,
 etc., using 
\begin_inset Formula $(m.n.p)$
\end_inset

 where the 
\begin_inset Formula $m$
\end_inset

 is the chapter number, the 
\begin_inset Formula $n$
\end_inset

 is the section number, and, finally, the 
\begin_inset Formula $p$
\end_inset

 is the result number in that section.
\end_layout

\begin_layout Standard

This can be changed by modifying the layout file, removing the line 
\family typewriter

\newline

\backslash
numberwithin{section}{chapter} 
\family default

\newline
from the 
\family typewriter
Preamble
\family default
 .
\end_layout

\begin_layout Theorem

This is a theorem
\end_layout

\begin_layout Proof

Here is its proof.
\end_layout

\begin_layout Standard

More text.
\end_layout

\begin_layout Corollary

First corollary.
\end_layout

\begin_layout Proof

Its proof.
\end_layout

\begin_layout Lemma

Lemma number 1
\end_layout

\begin_layout Proposition

First proposition.
\end_layout

\begin_layout Conjecture

A wild guess.
\end_layout

\begin_layout Criterion

Need some criteria
\end_layout

\begin_layout Algorithm

first this, then the next
\end_layout

\begin_layout Fact

Not fiction.
\end_layout

\begin_layout Axiom

It stands to reason.
\end_layout

\begin_layout Definition

a word means exactly what I say it means.
\end_layout

\begin_layout Example

This should be an example.
\end_layout

\begin_layout Standard

Plain text.
\end_layout

\begin_layout Condition

If you say so.
\end_layout

\begin_layout Problem

I don't know what to write is the problem.
\end_layout

\begin_layout Remark

I think this will be useful.
\end_layout

\begin_layout Claim

I did it the way the documentation said to.
\end_layout

\begin_layout Note

It may need more work yet.
\end_layout

\begin_layout Standard

More plain text, in standard format.
\end_layout

\begin_layout Theorem

This is a second theorem
\end_layout

\begin_layout Proof

Here is its proof.
\end_layout

\begin_layout Standard

More text.
\end_layout

\begin_layout Corollary

Second corollary.
\end_layout

\begin_layout Proof

Its proof.
\end_layout

\begin_layout Lemma

Lemma number 2
\end_layout

\begin_layout Proposition

Second proposition.
\end_layout

\begin_layout Conjecture

A wild guess.
\end_layout

\begin_layout Criterion

Need some criteria
\end_layout

\begin_layout Notation


\begin_inset Formula $S=\mathbb{R}$
\end_inset

.
\end_layout

\begin_layout Summary

In the end, will it matter?
\end_layout

\begin_layout Acknowledgement

Thanks to Mattias Ettrich.
 Without him I never would have learned LaTeX.
\end_layout

\begin_layout Case

If this works, then the rest will.
\end_layout

\begin_layout Conclusion

It seems to work.
\end_layout

\begin_layout Proof

Here goes another proof.
\end_layout

\begin_layout Standard

Plain text
\end_layout

\begin_layout Chapter Exercises

Exercise 1
\end_layout

\begin_layout Chapter Exercises

Exercise 2
\end_layout

\begin_layout Chapter Exercises

These should not be italicised!
\end_layout

\begin_layout Section

Next try.
\end_layout

\begin_layout Standard

This tries out the section environments.
\end_layout

\begin_layout Theorem

This is a theorem
\end_layout

\begin_layout Proof

Here is its proof.
\end_layout

\begin_layout Standard

More text.
\end_layout

\begin_layout Corollary

Third corollary.
 First one of this section.
\end_layout

\begin_layout Proof

Its proof.
\end_layout

\begin_layout Lemma

Lemma number 3
\end_layout

\begin_layout Proposition

Third proposition.
\end_layout

\begin_layout Conjecture

A wild guess.
\end_layout

\begin_layout Criterion

Need some criteria
\end_layout

\begin_layout Subsection

This is a subsection
\end_layout

\begin_layout Standard

With more results therein.
\end_layout

\begin_layout Theorem

This is a theorem, maybe the fourth one.
\end_layout

\begin_layout Proof

Here is its proof.
\end_layout

\begin_layout Standard

More text.
\end_layout

\begin_layout Chapter

Next one.
\end_layout

\begin_layout Section

Next Section
\end_layout

\begin_layout Corollary

Fourth corollary.
\end_layout

\begin_layout Proof

Its proof.
\end_layout

\begin_layout Lemma

Lemma number 4
\end_layout

\begin_layout Proposition

Fourth proposition.
\end_layout

\begin_layout Conjecture

A wild guess.
\end_layout

\begin_layout Criterion

Need some criteria
\end_layout

\begin_layout Standard

More random text.
\end_layout

\begin_layout Section

Another section
\end_layout

\begin_layout Theorem

This is a theorem
\end_layout

\begin_layout Proof

Here is its proof.
\end_layout

\begin_layout Standard

More text.
\end_layout

\begin_layout Corollary

Fifth corollary.
\end_layout

\begin_layout Proof

Its proof.
\end_layout

\begin_layout Lemma

Lemma number 5
\end_layout

\begin_layout Proposition

Fifth proposition.
\end_layout

\begin_layout Conjecture

A wild guess.
\end_layout

\begin_layout Criterion

Need some criteria
\end_layout

\begin_layout Subsubsection

This is the subsection with results.
\end_layout

\begin_layout Standard

The quick, brown fox jumped over the lazy dog.
\end_layout

\begin_layout Theorem

This is a theorem - sixth in the series
\end_layout

\begin_layout Proof

Here is its proof.
\end_layout

\begin_layout Standard

More text.
\end_layout

\begin_layout Corollary

Sixth corollary.
\end_layout

\begin_layout Proof

Its proof.
\end_layout

\begin_layout Lemma

Lemma number 6
\end_layout

\begin_layout Proposition

Sixth proposition.
\end_layout

\begin_layout Conjecture

A wild guess.
\end_layout

\begin_layout Criterion

Need some criteria
\end_layout

\begin_layout Bibliography
\bibitem {1}

Johnson, D.
 L.
 
\emph on
Out of my head
\end_layout

\begin_layout Bibliography
\bibitem {2}

American Mathematical Society, 
\emph on
Instructions for preparation of papers and monographs: AMS-LaTeX
\emph default
, (1997).
\end_layout

\begin_layout Bibliography
\bibitem {3}

American Mathematical Society, 
\end_layout

\begin_layout Standard

\end_layout

\end_body
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