#This file was created by Sun Dec 14 14:56:10 1997 #LyX 0.11 (C) 1995-1997 Matthias Ettrich and the LyX Team \lyxformat 2.15 \textclass amsbook \language default \inputencoding default \fontscheme default \graphics default \paperfontsize default \spacing single \papersize Default \paperpackage a4 \use_geometry 0 \use_amsmath 0 \paperorientation portrait \secnumdepth 3 \tocdepth 3 \paragraph_separation indent \defskip medskip \quotes_language english \quotes_times 2 \papercolumns 1 \papersides 2 \paperpagestyle default \layout Title Test of AMS-Book Style \layout Author David L. Johnson \layout Address Department of Mathematics \newline Lehigh University \newline Bethlehem, PA 18015 \layout Current Address Home \layout Email dlj0@lehigh.edu \layout URL http://www.lehigh.edu/~dlj0/dlj0.html \layout Keywords Test \layout Thanks To Emmanuel, for forcing me to fix this, and Jean-Marc, for making it possible, and necessary. \layout Dedicatory To my wife. \layout Translator Joe \layout Subjectclass Primary: 12G34, Secondary: 09G87 \layout Chapter Beginning. \layout Section Introduction \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. \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 . \layout Theorem This is a theorem \layout Proof Here is its proof. \layout Standard More text. \layout Corollary First corollary. \layout Proof Its proof. \layout Lemma Lemma number 1 \layout Proposition First proposition. \layout Conjecture A wild guess. \layout Criterion Need some criteria \layout Algorithm first this, then the next \layout Fact Not fiction. \layout Axiom It stands to reason. \layout Definition a word means exactly what I say it means. \layout Example This should be an example. \layout Standard Plain text. \layout Condition If you say so. \layout Problem I don't know what to write is the problem. \layout Remark I think this will be useful. \layout Claim I did it the way the documentation said to. \layout Note It may need more work yet. \layout Standard More plain text, in standard format. \layout Theorem This is a second theorem \layout Proof Here is its proof. \layout Standard More text. \layout Corollary Second corollary. \layout Proof Its proof. \layout Lemma Lemma number 2 \layout Proposition Second proposition. \layout Conjecture A wild guess. \layout Criterion Need some criteria \layout Notation \begin_inset Formula \( S=\mathbb {R} \) \end_inset . \layout Summary In the end, will it matter? \layout Acknowledgement Thanks to Mattias Ettrich. Without him I never would have learned LaTeX. \layout Case If this works, then the rest will. \layout Conclusion It seems to work. \layout Proof Here goes another proof. \layout Standard Plain text \layout Chapter Exercises Exercise 1 \layout Chapter Exercises Exercise 2 \layout Chapter Exercises These should not be italicised! \layout Section Next try. \layout Standard This tries out the section environments. \layout Theorem This is a theorem \layout Proof Here is its proof. \layout Standard More text. \layout Corollary Third corollary. First one of this section. \layout Proof Its proof. \layout Lemma Lemma number 3 \layout Proposition Third proposition. \layout Conjecture A wild guess. \layout Criterion Need some criteria \layout Subsection This is a subsection \layout Standard With more results therein. \layout Theorem This is a theorem, maybe the fourth one. \layout Proof Here is its proof. \layout Standard More text. \layout Chapter Next one. \layout Section Next Section \layout Corollary Fourth corollary. \layout Proof Its proof. \layout Lemma Lemma number 4 \layout Proposition Fourth proposition. \layout Conjecture A wild guess. \layout Criterion Need some criteria \layout Standard More random text. \layout Section Another section \layout Theorem This is a theorem \layout Proof Here is its proof. \layout Standard More text. \layout Corollary Fifth corollary. \layout Proof Its proof. \layout Lemma Lemma number 5 \layout Proposition Fifth proposition. \layout Conjecture A wild guess. \layout Criterion Need some criteria \layout Subsubsection This is the subsection with results. \layout Standard The quick, brown fox jumped over the lazy dog. \layout Theorem This is a theorem - sixth in the series \layout Proof Here is its proof. \layout Standard More text. \layout Corollary Sixth corollary. \layout Proof Its proof. \layout Lemma Lemma number 6 \layout Proposition Sixth proposition. \layout Conjecture A wild guess. \layout Criterion Need some criteria \layout Bibliography \bibitem {1} Johnson, D. L. \emph on Out of my head \layout Bibliography \bibitem {2} American Mathematical Society, \emph on Instructions for preparation of papers and monographs: AMS-LaTeX \emph default , (1997). \layout Bibliography \bibitem {3} American Mathematical Society, \layout Standard \the_end