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89 Department of Mathematics
90 \begin_inset Newline newline
94 \begin_inset Newline newline
100 \begin_layout Current Address
109 http://www.lehigh.edu/~dlj0/dlj0.html
112 \begin_layout Keywords
117 To Emmanuel, for forcing me to fix this, and Jean-Marc, for making it possible,
119 Also to Mate, who suggested numerous improvements.
122 \begin_layout Dedicatory
126 \begin_layout Translator
130 \begin_layout Subjectclass
131 Primary: 12G34, Secondary: 09G87
134 \begin_layout Abstract
135 This is not very abstract.
136 Note that the abstract must be part of the title stuff for AMS.
137 \SpecialCharNoPassThru LyX
138 is aware of that since version 0.12.1.
143 \begin_layout Section
147 \begin_layout Standard
148 This file, and any amsart-* \SpecialCharNoPassThru LyX
149 file, can be converted to either of the
150 numbering schemes by simply changing the document class in the
165 \begin_layout Enumerate
166 amsart - The standard AMS-article format.
167 All results and similar statements are numbered as
168 \begin_inset Formula $(n.m)$
171 , where the first number refers to the section, and the second refers to
172 the total number of results (Theorems, Corollaries, Propositions, Definitions
173 and Remarks, etc.) in that section.
174 There are also many (but not all) environments available unnumbered, which
175 is occasionally needed.
176 Unnumbered environments indicated by an asterisk at the end.
179 \begin_layout Enumerate
180 amsart-seq - Here, numbering for each type of statement is in its own sequence,
181 with no reference to the section number.
182 There are also many (but not all) environments available unnumbered, which
183 is occasionally needed.
186 \begin_layout Theorem
187 This is a numbered theorem
200 \begin_layout Standard
202 Note that two occurrences of the same environment, like two definitions,
203 need to be separated somehow.
204 For the moment, the best way is to include a paragraph with a %, in the
205 \SpecialCharNoPassThru LaTeX
206 environment, if you really want two definitions (or whatever) together,
207 with no intervening text of another sort.
210 \begin_layout Theorem*
211 This is an unnumbered theorem
223 \begin_layout Corollary
231 \begin_layout Corollary*
232 Unnumbered corollary.
236 \begin_layout Standard
240 \begin_layout Plain Layout
250 \begin_layout Corollary*
251 A second, with no intervening text.
252 Note the % to force a separation.
259 \begin_layout Proposition
263 \begin_layout Proposition*
267 \begin_layout Conjecture
271 \begin_layout Conjecture*
272 So wild I didn't number it.
275 \begin_layout Criterion
279 \begin_layout Algorithm
280 first this, then the next
288 Bald statement of fact.
289 Unnumbered environments are often used for emphasis, or in a short presentation
290 that doesn't require numbered results.
298 \begin_layout Definition
299 a word means exactly what I say it means.
302 \begin_layout Definition*
306 \begin_layout Standard
320 \begin_layout Example
321 This should be an example.
324 \begin_layout Standard
341 \begin_layout Condition
345 \begin_layout Problem
346 I don't know what to write is the problem.
350 I think this will be useful.
354 I did it the way the documentation said to.
358 It may need more work yet.
361 \begin_layout Standard
362 More plain text, in standard format.
365 \begin_layout Theorem
366 This is a second numbered theorem
373 \begin_layout Standard
377 \begin_layout Corollary
389 \begin_layout Proposition
393 \begin_layout Conjecture
397 \begin_layout Criterion
401 \begin_layout Notation
402 \begin_inset Formula $S=\mathbb{R}$
408 \begin_layout Summary
409 In the end, will it matter?
412 \begin_layout Acknowledgement
413 Thanks to Mattias Ettrich.
414 Without him I never would have learned \SpecialCharNoPassThru LaTeX
419 If this works, then the rest will.
422 \begin_layout Conclusion
427 Here goes another proof.
430 \begin_layout Standard
434 \begin_layout Section
438 \begin_layout Standard
439 This tries out the section environments.
442 \begin_layout Theorem
450 \begin_layout Standard
454 \begin_layout Corollary
456 First one of this section.
467 \begin_layout Proposition
471 \begin_layout Conjecture
475 \begin_layout Criterion
479 \begin_layout Subsection
483 \begin_layout Standard
484 With more results therein.
487 \begin_layout Theorem
488 This is a theorem, maybe the fourth one.
495 \begin_layout Standard
499 \begin_layout Corollary
511 \begin_layout Proposition
515 \begin_layout Conjecture
519 \begin_layout Criterion
523 \begin_layout Standard
527 \begin_layout Theorem
535 \begin_layout Standard
540 I believe this is true.
551 \begin_layout Proposition
555 \begin_layout Conjecture
559 \begin_layout Criterion
563 \begin_layout Subsubsection
564 This is the subsection with results.
567 \begin_layout Standard
568 The quick, brown fox jumped over the lazy dog.
571 \begin_layout Theorem
572 This is a theorem - sixth in the series
579 \begin_layout Standard
583 \begin_layout Corollary
595 \begin_layout Proposition
599 \begin_layout Conjecture
603 \begin_layout Criterion
607 \begin_layout Bibliography
608 \begin_inset CommandInset bibitem
621 \begin_layout Bibliography
622 \begin_inset CommandInset bibitem
628 American Mathematical Society,
630 Instructions for preparation of papers and monographs: AMS-\SpecialCharNoPassThru LaTeX
635 \begin_layout Bibliography
636 \begin_inset CommandInset bibitem
642 American Mathematical Society,