1 #LyX 1.5.0svn created this file. For more info see http://www.lyx.org/
10 \font_typewriter default
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25 \paperorientation portrait
28 \paragraph_separation indent
30 \quotes_language english
33 \paperpagestyle default
34 \tracking_changes false
53 Department of Mathematics
60 \begin_layout Current Address
72 http://www.lehigh.edu/~dlj0/dlj0.html
75 \begin_layout Keywords
82 To Emmanuel, for forcing me to fix this, and Jean-Marc, for making it possible,
84 Also to Mate, who suggested numerous improvements.
87 \begin_layout Dedicatory
92 \begin_layout Translator
97 \begin_layout Subjectclass
99 Primary: 12G34, Secondary: 09G87
102 \begin_layout Abstract
104 This is not very abstract.
105 Note that the abstract must be part of the title stuff for AMS.
106 LyX is aware of that since version 0.12.1.
111 \begin_layout Section
116 \begin_layout Standard
118 This file, and any amsart-* LyX file, can be converted to either of the
119 numbering schemes by simply changing the document class in the
136 \begin_layout Enumerate
138 amsart - The standard AMS-article format.
139 All results and similar statements are numbered as
140 \begin_inset Formula $(n.m)$
143 , where the first number refers to the section, and the second refers to
144 the total number of results (Theorems, Corollaries, Propositions, Definitions
145 and Remarks, etc.) in that section.
146 There are also many (but not all) environments available unnumbered, which
147 is occasionally needed.
148 Unnumbered environments indicated by an asterisk at the end.
151 \begin_layout Enumerate
153 amsart-seq - Here, numbering for each type of statement is in its own sequence,
154 with no reference to the section number.
155 There are also many (but not all) environments available unnumbered, which
156 is occasionally needed.
159 \begin_layout Theorem
161 This is a numbered theorem
175 \begin_layout Standard
178 Note that two occurrences of the same environment, like two definitions,
179 need to be separated somehow.
180 For the moment, the best way is to include a paragraph with a %, in the
181 LaTeX environment, if you really want two definitions (or whatever) together,
182 with no intervening text of another sort.
185 \begin_layout Theorem*
187 This is an unnumbered theorem
200 \begin_layout Corollary
210 \begin_layout Corollary*
212 Unnumbered corollary.
216 \begin_layout Standard
222 \begin_layout Standard
231 \begin_layout Corollary*
233 A second, with no intervening text.
234 Note the % to force a separation.
242 \begin_layout Proposition
247 \begin_layout Proposition*
252 \begin_layout Conjecture
257 \begin_layout Conjecture*
259 So wild I didn't number it.
262 \begin_layout Criterion
267 \begin_layout Algorithm
269 first this, then the next
279 Bald statement of fact.
280 Unnumbered environments are often used for emphasis, or in a short presentation
281 that doesn't require numbered results.
290 \begin_layout Definition
292 a word means exactly what I say it means.
295 \begin_layout Definition*
300 \begin_layout Standard
315 \begin_layout Example
317 This should be an example.
320 \begin_layout Standard
338 \begin_layout Condition
343 \begin_layout Problem
345 I don't know what to write is the problem.
350 I think this will be useful.
355 I did it the way the documentation said to.
360 It may need more work yet.
363 \begin_layout Standard
365 More plain text, in standard format.
368 \begin_layout Theorem
370 This is a second numbered theorem
378 \begin_layout Standard
383 \begin_layout Corollary
398 \begin_layout Proposition
403 \begin_layout Conjecture
408 \begin_layout Criterion
413 \begin_layout Notation
416 \begin_inset Formula $S=\mathbb{R}$
422 \begin_layout Summary
424 In the end, will it matter?
427 \begin_layout Acknowledgement
429 Thanks to Mattias Ettrich.
430 Without him I never would have learned LaTeX.
435 If this works, then the rest will.
438 \begin_layout Conclusion
445 Here goes another proof.
448 \begin_layout Standard
453 \begin_layout Section
458 \begin_layout Standard
460 This tries out the section environments.
463 \begin_layout Theorem
473 \begin_layout Standard
478 \begin_layout Corollary
481 First one of this section.
494 \begin_layout Proposition
499 \begin_layout Conjecture
504 \begin_layout Criterion
509 \begin_layout Subsection
514 \begin_layout Standard
516 With more results therein.
519 \begin_layout Theorem
521 This is a theorem, maybe the fourth one.
529 \begin_layout Standard
534 \begin_layout Corollary
549 \begin_layout Proposition
554 \begin_layout Conjecture
559 \begin_layout Criterion
564 \begin_layout Standard
569 \begin_layout Theorem
579 \begin_layout Standard
586 I believe this is true.
599 \begin_layout Proposition
604 \begin_layout Conjecture
609 \begin_layout Criterion
614 \begin_layout Subsubsection
616 This is the subsection with results.
619 \begin_layout Standard
621 The quick, brown fox jumped over the lazy dog.
624 \begin_layout Theorem
626 This is a theorem - sixth in the series
634 \begin_layout Standard
639 \begin_layout Corollary
654 \begin_layout Proposition
659 \begin_layout Conjecture
664 \begin_layout Criterion
669 \begin_layout Bibliography
670 \begin_inset LatexCommand bibitem
684 \begin_layout Bibliography
685 \begin_inset LatexCommand bibitem
690 American Mathematical Society,
694 Instructions for preparation of papers and monographs: AMS-LaTeX
699 \begin_layout Bibliography
700 \begin_inset LatexCommand bibitem
705 American Mathematical Society,