1 #LyX 2.2 created this file. For more info see http://www.lyx.org/
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90 Department of Mathematics
91 \begin_inset Newline newline
95 \begin_inset Newline newline
101 \begin_layout Current Address
110 http://www.lehigh.edu/~dlj0/dlj0.html
113 \begin_layout Keywords
118 To Emmanuel, for forcing me to fix this, and Jean-Marc, for making it possible,
120 Also to Mate, who suggested numerous improvements.
123 \begin_layout Dedicatory
127 \begin_layout Translator
131 \begin_layout Subjectclass
132 Primary: 12G34, Secondary: 09G87
135 \begin_layout Abstract
136 This is not very abstract.
137 Note that the abstract must be part of the title stuff for AMS.
139 is aware of that since version 0.12.1.
144 \begin_layout Section
148 \begin_layout Standard
149 This file, and any amsart-* \SpecialChar LyX
150 file, can be converted to either of the numbering
151 schemes by simply changing the document class in the
166 \begin_layout Enumerate
167 amsart - The standard AMS-article format.
168 All results and similar statements are numbered as
169 \begin_inset Formula $(n.m)$
172 , where the first number refers to the section, and the second refers to
173 the total number of results (Theorems, Corollaries, Propositions, Definitions
174 and Remarks, etc.) in that section.
175 There are also many (but not all) environments available unnumbered, which
176 is occasionally needed.
177 Unnumbered environments indicated by an asterisk at the end.
180 \begin_layout Enumerate
181 amsart-seq - Here, numbering for each type of statement is in its own sequence,
182 with no reference to the section number.
183 There are also many (but not all) environments available unnumbered, which
184 is occasionally needed.
187 \begin_layout Theorem
188 This is a numbered theorem
201 \begin_layout Standard
203 Note that two occurrences of the same environment, like two definitions,
204 need to be separated somehow.
205 For the moment, the best way is to include a paragraph with a %, in the
207 environment, if you really want two definitions (or whatever) together,
208 with no intervening text of another sort.
211 \begin_layout Theorem*
212 This is an unnumbered theorem
224 \begin_layout Corollary
232 \begin_layout Corollary*
233 Unnumbered corollary.
237 \begin_layout Standard
241 \begin_layout Plain Layout
251 \begin_layout Corollary*
252 A second, with no intervening text.
253 Note the % to force a separation.
260 \begin_layout Proposition
264 \begin_layout Proposition*
268 \begin_layout Conjecture
272 \begin_layout Conjecture*
273 So wild I didn't number it.
276 \begin_layout Criterion
280 \begin_layout Algorithm
281 first this, then the next
289 Bald statement of fact.
290 Unnumbered environments are often used for emphasis, or in a short presentation
291 that doesn't require numbered results.
299 \begin_layout Definition
300 a word means exactly what I say it means.
303 \begin_layout Definition*
307 \begin_layout Standard
321 \begin_layout Example
322 This should be an example.
325 \begin_layout Standard
342 \begin_layout Condition
346 \begin_layout Problem
347 I don't know what to write is the problem.
351 I think this will be useful.
355 I did it the way the documentation said to.
359 It may need more work yet.
362 \begin_layout Standard
363 More plain text, in standard format.
366 \begin_layout Theorem
367 This is a second numbered theorem
374 \begin_layout Standard
378 \begin_layout Corollary
390 \begin_layout Proposition
394 \begin_layout Conjecture
398 \begin_layout Criterion
402 \begin_layout Notation
403 \begin_inset Formula $S=\mathbb{R}$
409 \begin_layout Summary
410 In the end, will it matter?
413 \begin_layout Acknowledgement
414 Thanks to Mattias Ettrich.
415 Without him I never would have learned \SpecialChar LaTeX
420 If this works, then the rest will.
423 \begin_layout Conclusion
428 Here goes another proof.
431 \begin_layout Standard
435 \begin_layout Section
439 \begin_layout Standard
440 This tries out the section environments.
443 \begin_layout Theorem
451 \begin_layout Standard
455 \begin_layout Corollary
457 First one of this section.
468 \begin_layout Proposition
472 \begin_layout Conjecture
476 \begin_layout Criterion
480 \begin_layout Subsection
484 \begin_layout Standard
485 With more results therein.
488 \begin_layout Theorem
489 This is a theorem, maybe the fourth one.
496 \begin_layout Standard
500 \begin_layout Corollary
512 \begin_layout Proposition
516 \begin_layout Conjecture
520 \begin_layout Criterion
524 \begin_layout Standard
528 \begin_layout Theorem
536 \begin_layout Standard
541 I believe this is true.
552 \begin_layout Proposition
556 \begin_layout Conjecture
560 \begin_layout Criterion
564 \begin_layout Subsubsection
565 This is the subsection with results.
568 \begin_layout Standard
569 The quick, brown fox jumped over the lazy dog.
572 \begin_layout Theorem
573 This is a theorem - sixth in the series
580 \begin_layout Standard
584 \begin_layout Corollary
596 \begin_layout Proposition
600 \begin_layout Conjecture
604 \begin_layout Criterion
608 \begin_layout Bibliography
609 \begin_inset CommandInset bibitem
622 \begin_layout Bibliography
623 \begin_inset CommandInset bibitem
629 American Mathematical Society,
631 Instructions for preparation of papers and monographs: AMS-\SpecialChar LaTeX
637 \begin_layout Bibliography
638 \begin_inset CommandInset bibitem
644 American Mathematical Society,