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93 Department of Mathematics
94 \begin_inset Newline newline
98 \begin_inset Newline newline
104 \begin_layout Current Address
113 http://www.lehigh.edu/~dlj0/dlj0.html
116 \begin_layout Keywords
121 To Emmanuel, for forcing me to fix this, and Jean-Marc, for making it possible,
123 Also to Mate, who suggested numerous improvements.
126 \begin_layout Dedicatory
130 \begin_layout Translator
134 \begin_layout Subjectclass
135 Primary: 12G34, Secondary: 09G87
138 \begin_layout Abstract
139 This is not very abstract.
140 Note that the abstract must be part of the title stuff for AMS.
142 is aware of that since version 0.12.1.
147 \begin_layout Section
151 \begin_layout Standard
152 This file, and any amsart-* \SpecialChar LyX
153 file, can be converted to either of the numbering
154 schemes by simply changing the document class in the
169 \begin_layout Enumerate
170 amsart - The standard AMS-article format.
171 All results and similar statements are numbered as
172 \begin_inset Formula $(n.m)$
175 , where the first number refers to the section, and the second refers to
176 the total number of results (Theorems, Corollaries, Propositions, Definitions
177 and Remarks, etc.) in that section.
178 There are also many (but not all) environments available unnumbered, which
179 is occasionally needed.
180 Unnumbered environments indicated by an asterisk at the end.
183 \begin_layout Enumerate
184 amsart-seq - Here, numbering for each type of statement is in its own sequence,
185 with no reference to the section number.
186 There are also many (but not all) environments available unnumbered, which
187 is occasionally needed.
190 \begin_layout Theorem
191 This is a numbered theorem
204 \begin_layout Standard
206 Note that two occurrences of the same environment, like two definitions,
207 need to be separated somehow.
208 For the moment, the best way is to include a paragraph with a %, in the
210 environment, if you really want two definitions (or whatever) together,
211 with no intervening text of another sort.
214 \begin_layout Theorem*
215 This is an unnumbered theorem
227 \begin_layout Corollary
235 \begin_layout Corollary*
236 Unnumbered corollary.
240 \begin_layout Standard
244 \begin_layout Plain Layout
254 \begin_layout Corollary*
255 A second, with no intervening text.
256 Note the % to force a separation.
263 \begin_layout Proposition
267 \begin_layout Proposition*
271 \begin_layout Conjecture
275 \begin_layout Conjecture*
276 So wild I didn't number it.
279 \begin_layout Criterion
283 \begin_layout Algorithm
284 first this, then the next
292 Bald statement of fact.
293 Unnumbered environments are often used for emphasis, or in a short presentation
294 that doesn't require numbered results.
302 \begin_layout Definition
303 a word means exactly what I say it means.
306 \begin_layout Definition*
310 \begin_layout Standard
324 \begin_layout Example
325 This should be an example.
328 \begin_layout Standard
345 \begin_layout Condition
349 \begin_layout Problem
350 I don't know what to write is the problem.
354 I think this will be useful.
358 I did it the way the documentation said to.
362 It may need more work yet.
365 \begin_layout Standard
366 More plain text, in standard format.
369 \begin_layout Theorem
370 This is a second numbered theorem
377 \begin_layout Standard
381 \begin_layout Corollary
393 \begin_layout Proposition
397 \begin_layout Conjecture
401 \begin_layout Criterion
405 \begin_layout Notation
406 \begin_inset Formula $S=\mathbb{R}$
412 \begin_layout Summary
413 In the end, will it matter?
416 \begin_layout Acknowledgement
417 Thanks to Mattias Ettrich.
418 Without him I never would have learned \SpecialChar LaTeX
423 If this works, then the rest will.
426 \begin_layout Conclusion
431 Here goes another proof.
434 \begin_layout Standard
438 \begin_layout Section
442 \begin_layout Standard
443 This tries out the section environments.
446 \begin_layout Theorem
454 \begin_layout Standard
458 \begin_layout Corollary
460 First one of this section.
471 \begin_layout Proposition
475 \begin_layout Conjecture
479 \begin_layout Criterion
483 \begin_layout Subsection
487 \begin_layout Standard
488 With more results therein.
491 \begin_layout Theorem
492 This is a theorem, maybe the fourth one.
499 \begin_layout Standard
503 \begin_layout Corollary
515 \begin_layout Proposition
519 \begin_layout Conjecture
523 \begin_layout Criterion
527 \begin_layout Standard
531 \begin_layout Theorem
539 \begin_layout Standard
544 I believe this is true.
555 \begin_layout Proposition
559 \begin_layout Conjecture
563 \begin_layout Criterion
567 \begin_layout Subsubsection
568 This is the subsection with results.
571 \begin_layout Standard
572 The quick, brown fox jumped over the lazy dog.
575 \begin_layout Theorem
576 This is a theorem - sixth in the series
583 \begin_layout Standard
587 \begin_layout Corollary
599 \begin_layout Proposition
603 \begin_layout Conjecture
607 \begin_layout Criterion
611 \begin_layout Bibliography
612 \begin_inset CommandInset bibitem
626 \begin_layout Bibliography
627 \begin_inset CommandInset bibitem
634 American Mathematical Society,
636 Instructions for preparation of papers and monographs: AMS-\SpecialChar LaTeX
642 \begin_layout Bibliography
643 \begin_inset CommandInset bibitem
650 American Mathematical Society,