1 #LyX 1.5.0svn created this file. For more info see http://www.lyx.org/
10 \paperfontsize default
17 \paperorientation portrait
20 \paragraph_separation indent
22 \quotes_language english
25 \paperpagestyle default
26 \tracking_changes false
45 Department of Mathematics
52 \begin_layout Current Address
64 http://www.lehigh.edu/~dlj0/dlj0.html
67 \begin_layout Keywords
74 To Emmanuel, for forcing me to fix this, and Jean-Marc, for making it possible,
76 Also to Mate, who suggested numerous improvements.
79 \begin_layout Dedicatory
84 \begin_layout Translator
89 \begin_layout Subjectclass
91 Primary: 12G34, Secondary: 09G87
94 \begin_layout Abstract
96 This is not very abstract.
97 Note that the abstract must be part of the title stuff for AMS.
98 LyX is aware of that since version 0.12.1.
103 \begin_layout Section
108 \begin_layout Standard
110 This file, and any amsart-* LyX file, can be converted to either of the
111 numbering schemes by simply changing the document class in the
126 \begin_layout Enumerate
128 amsart - The standard AMS-article format.
129 All results and similar statements are numbered as
130 \begin_inset Formula $(n.m)$
133 , where the first number refers to the section, and the second refers to
134 the total number of results (Theorems, Corollaries, Propositions, Definitions
135 and Remarks, etc.) in that section.
136 There are also many (but not all) environments available unnumbered, which
137 is occasionally needed.
138 Unnumbered environments indicated by an asterisk at the end.
141 \begin_layout Enumerate
143 amsart-seq - Here, numbering for each type of statement is in its own sequence,
144 with no reference to the section number.
145 There are also many (but not all) environments available unnumbered, which
146 is occasionally needed.
149 \begin_layout Theorem
151 This is a numbered theorem
165 \begin_layout Standard
168 Note that two occurrences of the same environment, like two definitions,
169 need to be separated somehow.
170 For the moment, the best way is to include a paragraph with a %, in the
171 LaTeX environment, if you really want two definitions (or whatever) together,
172 with no intervening text of another sort.
175 \begin_layout Theorem*
177 This is an unnumbered theorem
190 \begin_layout Corollary
200 \begin_layout Corollary*
202 Unnumbered corollary.
206 \begin_layout Standard
212 \begin_layout Standard
221 \begin_layout Corollary*
223 A second, with no intervening text.
224 Note the % to force a separation.
232 \begin_layout Proposition
237 \begin_layout Proposition*
242 \begin_layout Conjecture
247 \begin_layout Conjecture*
249 So wild I didn't number it.
252 \begin_layout Criterion
257 \begin_layout Algorithm
259 first this, then the next
269 Bald statement of fact.
270 Unnumbered environments are often used for emphasis, or in a short presentation
271 that doesn't require numbered results.
280 \begin_layout Definition
282 a word means exactly what I say it means.
285 \begin_layout Definition*
290 \begin_layout Standard
305 \begin_layout Example
307 This should be an example.
310 \begin_layout Standard
328 \begin_layout Condition
333 \begin_layout Problem
335 I don't know what to write is the problem.
340 I think this will be useful.
345 I did it the way the documentation said to.
350 It may need more work yet.
353 \begin_layout Standard
355 More plain text, in standard format.
358 \begin_layout Theorem
360 This is a second numbered theorem
368 \begin_layout Standard
373 \begin_layout Corollary
388 \begin_layout Proposition
393 \begin_layout Conjecture
398 \begin_layout Criterion
403 \begin_layout Notation
406 \begin_inset Formula $S=\mathbb{R}$
412 \begin_layout Summary
414 In the end, will it matter?
417 \begin_layout Acknowledgement
419 Thanks to Mattias Ettrich.
420 Without him I never would have learned LaTeX.
425 If this works, then the rest will.
428 \begin_layout Conclusion
435 Here goes another proof.
438 \begin_layout Standard
443 \begin_layout Section
448 \begin_layout Standard
450 This tries out the section environments.
453 \begin_layout Theorem
463 \begin_layout Standard
468 \begin_layout Corollary
471 First one of this section.
484 \begin_layout Proposition
489 \begin_layout Conjecture
494 \begin_layout Criterion
499 \begin_layout Subsection
504 \begin_layout Standard
506 With more results therein.
509 \begin_layout Theorem
511 This is a theorem, maybe the fourth one.
519 \begin_layout Standard
524 \begin_layout Corollary
539 \begin_layout Proposition
544 \begin_layout Conjecture
549 \begin_layout Criterion
554 \begin_layout Standard
559 \begin_layout Theorem
569 \begin_layout Standard
576 I believe this is true.
589 \begin_layout Proposition
594 \begin_layout Conjecture
599 \begin_layout Criterion
604 \begin_layout Subsubsection
606 This is the subsection with results.
609 \begin_layout Standard
611 The quick, brown fox jumped over the lazy dog.
614 \begin_layout Theorem
616 This is a theorem - sixth in the series
624 \begin_layout Standard
629 \begin_layout Corollary
644 \begin_layout Proposition
649 \begin_layout Conjecture
654 \begin_layout Criterion
659 \begin_layout Bibliography
669 \begin_layout Bibliography
672 American Mathematical Society,
674 Instructions for preparation of papers and monographs: AMS-LaTeX
679 \begin_layout Bibliography
682 American Mathematical Society,