1 #LyX 1.6.0svn created this file. For more info see http://www.lyx.org/
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36 \quotes_language english
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57 Department of Mathematics
58 \begin_inset Newline newline
62 \begin_inset Newline newline
68 \begin_layout Current Address
77 http://www.lehigh.edu/~dlj0/dlj0.html
80 \begin_layout Keywords
85 To Emmanuel, for forcing me to fix this, and Jean-Marc, for making it possible,
87 Also to Mate, who suggested numerous improvements.
90 \begin_layout Dedicatory
94 \begin_layout Translator
98 \begin_layout Subjectclass
99 Primary: 12G34, Secondary: 09G87
102 \begin_layout Abstract
103 This is not very abstract.
104 Note that the abstract must be part of the title stuff for AMS.
105 LyX is aware of that since version 0.12.1.
110 \begin_layout Section
114 \begin_layout Standard
115 This file, and any amsart-* LyX file, can be converted to either of the
116 numbering schemes by simply changing the document class in the
131 \begin_layout Enumerate
132 amsart - The standard AMS-article format.
133 All results and similar statements are numbered as
134 \begin_inset Formula $(n.m)$
137 , where the first number refers to the section, and the second refers to
138 the total number of results (Theorems, Corollaries, Propositions, Definitions
139 and Remarks, etc.) in that section.
140 There are also many (but not all) environments available unnumbered, which
141 is occasionally needed.
142 Unnumbered environments indicated by an asterisk at the end.
145 \begin_layout Enumerate
146 amsart-seq - Here, numbering for each type of statement is in its own sequence,
147 with no reference to the section number.
148 There are also many (but not all) environments available unnumbered, which
149 is occasionally needed.
152 \begin_layout Theorem
153 This is a numbered theorem
166 \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*
176 This is an unnumbered theorem
188 \begin_layout Corollary
196 \begin_layout Corollary*
197 Unnumbered corollary.
201 \begin_layout Standard
205 \begin_layout Plain Layout
215 \begin_layout Corollary*
216 A second, with no intervening text.
217 Note the % to force a separation.
224 \begin_layout Proposition
228 \begin_layout Proposition*
232 \begin_layout Conjecture
236 \begin_layout Conjecture*
237 So wild I didn't number it.
240 \begin_layout Criterion
244 \begin_layout Algorithm
245 first this, then the next
253 Bald statement of fact.
254 Unnumbered environments are often used for emphasis, or in a short presentation
255 that doesn't require numbered results.
263 \begin_layout Definition
264 a word means exactly what I say it means.
267 \begin_layout Definition*
271 \begin_layout Standard
285 \begin_layout Example
286 This should be an example.
289 \begin_layout Standard
306 \begin_layout Condition
310 \begin_layout Problem
311 I don't know what to write is the problem.
315 I think this will be useful.
319 I did it the way the documentation said to.
323 It may need more work yet.
326 \begin_layout Standard
327 More plain text, in standard format.
330 \begin_layout Theorem
331 This is a second numbered theorem
338 \begin_layout Standard
342 \begin_layout Corollary
354 \begin_layout Proposition
358 \begin_layout Conjecture
362 \begin_layout Criterion
366 \begin_layout Notation
367 \begin_inset Formula $S=\mathbb{R}$
373 \begin_layout Summary
374 In the end, will it matter?
377 \begin_layout Acknowledgement
378 Thanks to Mattias Ettrich.
379 Without him I never would have learned LaTeX.
383 If this works, then the rest will.
386 \begin_layout Conclusion
391 Here goes another proof.
394 \begin_layout Standard
398 \begin_layout Section
402 \begin_layout Standard
403 This tries out the section environments.
406 \begin_layout Theorem
414 \begin_layout Standard
418 \begin_layout Corollary
420 First one of this section.
431 \begin_layout Proposition
435 \begin_layout Conjecture
439 \begin_layout Criterion
443 \begin_layout Subsection
447 \begin_layout Standard
448 With more results therein.
451 \begin_layout Theorem
452 This is a theorem, maybe the fourth one.
459 \begin_layout Standard
463 \begin_layout Corollary
475 \begin_layout Proposition
479 \begin_layout Conjecture
483 \begin_layout Criterion
487 \begin_layout Standard
491 \begin_layout Theorem
499 \begin_layout Standard
504 I believe this is true.
515 \begin_layout Proposition
519 \begin_layout Conjecture
523 \begin_layout Criterion
527 \begin_layout Subsubsection
528 This is the subsection with results.
531 \begin_layout Standard
532 The quick, brown fox jumped over the lazy dog.
535 \begin_layout Theorem
536 This is a theorem - sixth in the series
543 \begin_layout Standard
547 \begin_layout Corollary
559 \begin_layout Proposition
563 \begin_layout Conjecture
567 \begin_layout Criterion
571 \begin_layout Bibliography
572 \begin_inset CommandInset bibitem
585 \begin_layout Bibliography
586 \begin_inset CommandInset bibitem
592 American Mathematical Society,
594 Instructions for preparation of papers and monographs: AMS-LaTeX
599 \begin_layout Bibliography
600 \begin_inset CommandInset bibitem
606 American Mathematical Society,