#LyX 2.4 created this file. For more info see https://www.lyx.org/ \lyxformat 620 \begin_document \begin_header \save_transient_properties true \origin /systemlyxdir/examples/Books/ \textclass amsbook \use_default_options false \begin_modules theorems-ams eqs-within-sections figs-within-sections theorems-ams-extended \end_modules \maintain_unincluded_children no \begin_local_layout ### Inserted by lyx2lyx (ams extended theorems) ### ### This requires theorems-ams-extended module to be loaded Style Acknowledgement CopyStyle Remark LatexName acknowledgement LabelString "Acknowledgement \thetheorem." Preamble \theoremstyle{remark} \newtheorem{acknowledgement}[thm]{\protect\acknowledgementname} EndPreamble LangPreamble \providecommand{\acknowledgementname}{_(Acknowledgement)} EndLangPreamble BabelPreamble \addto\captions$$lang{\renewcommand{\acknowledgementname}{_(Acknowledgement)}} EndBabelPreamble DocBookTag para DocBookAttr role="acknowledgement" DocBookItemTag "" End \end_local_layout \language english \language_package default \inputencoding utf8 \fontencoding auto \font_roman "lmodern" "default" \font_sans "default" "default" \font_typewriter "default" "default" \font_math "auto" "auto" \font_default_family default \use_non_tex_fonts false \font_sc false \font_roman_osf false \font_sans_osf false \font_typewriter_osf false \font_sf_scale 100 100 \font_tt_scale 100 100 \use_microtype false \use_dash_ligatures false \graphics default \default_output_format default \output_sync 0 \bibtex_command default \index_command default \float_placement class \float_alignment class \paperfontsize default \spacing single \use_hyperref false \papersize default \use_geometry false \use_package amsmath 1 \use_package amssymb 1 \use_package cancel 1 \use_package esint 1 \use_package mathdots 1 \use_package mathtools 1 \use_package mhchem 1 \use_package stackrel 1 \use_package stmaryrd 1 \use_package undertilde 1 \cite_engine basic \cite_engine_type default \biblio_style plain \use_bibtopic false \use_indices false \paperorientation portrait \suppress_date false \justification true \use_refstyle 0 \use_minted 0 \use_lineno 0 \index Index \shortcut idx \color #008000 \end_index \secnumdepth 3 \tocdepth 3 \paragraph_separation indent \paragraph_indentation default \is_math_indent 0 \math_numbering_side default \quotes_style english \dynamic_quotes 0 \papercolumns 1 \papersides 2 \paperpagestyle default \tablestyle default \tracking_changes false \output_changes false \change_bars false \postpone_fragile_content false \html_math_output 0 \html_css_as_file 0 \html_be_strict false \docbook_table_output 0 \docbook_mathml_prefix 1 \end_header \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, \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash newline \end_layout \end_inset Lehigh University, 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 \begin_inset Newline newline \end_inset \backslash numberwithin{section}{chapter} \family default \begin_inset Newline newline \end_inset 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 \SpecialChar 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 \begin_inset CommandInset bibitem LatexCommand bibitem key "1" literal "true" \end_inset Johnson, D. L. \emph on Out of my head \end_layout \begin_layout Bibliography \begin_inset CommandInset bibitem LatexCommand bibitem key "2" literal "true" \end_inset American Mathematical Society, \emph on Instructions for preparation of papers and monographs: AMS-\SpecialChar LaTeX \emph default , (1997). \end_layout \begin_layout Bibliography \begin_inset CommandInset bibitem LatexCommand bibitem key "3" literal "true" \end_inset American Mathematical Society, \end_layout \begin_layout Standard \end_layout \end_body \end_document