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95 Department of Mathematics
96 \begin_inset Newline newline
100 \begin_inset Newline newline
106 \begin_layout Current Address
115 http://www.lehigh.edu/~dlj0/dlj0.html
118 \begin_layout Keywords
123 To Emmanuel, for forcing me to fix this, and Jean-Marc, for making it possible,
125 Also to Mate, who suggested numerous improvements.
128 \begin_layout Dedicatory
132 \begin_layout Translator
136 \begin_layout Subjectclass
137 Primary: 12G34, Secondary: 09G87
140 \begin_layout Abstract
141 This is not very abstract.
142 Note that the abstract must be part of the title stuff for AMS.
144 is aware of that since version 0.12.1.
149 \begin_layout Section
153 \begin_layout Standard
154 This file, and any amsart-* \SpecialChar LyX
155 file, can be converted to either of the numbering
156 schemes by simply changing the document class in the
171 \begin_layout Enumerate
172 amsart - The standard AMS-article format.
173 All results and similar statements are numbered as
174 \begin_inset Formula $(n.m)$
177 , where the first number refers to the section, and the second refers to
178 the total number of results (Theorems, Corollaries, Propositions, Definitions
179 and Remarks, etc.) in that section.
180 There are also many (but not all) environments available unnumbered, which
181 is occasionally needed.
182 Unnumbered environments indicated by an asterisk at the end.
185 \begin_layout Enumerate
186 amsart-seq - Here, numbering for each type of statement is in its own sequence,
187 with no reference to the section number.
188 There are also many (but not all) environments available unnumbered, which
189 is occasionally needed.
192 \begin_layout Theorem
193 This is a numbered theorem
206 \begin_layout Standard
208 Note that two occurrences of the same environment, like two definitions,
209 need to be separated somehow.
210 For the moment, the best way is to include a paragraph with a %, in the
212 environment, if you really want two definitions (or whatever) together,
213 with no intervening text of another sort.
216 \begin_layout Theorem*
217 This is an unnumbered theorem
229 \begin_layout Corollary
237 \begin_layout Corollary*
238 Unnumbered corollary.
242 \begin_layout Standard
246 \begin_layout Plain Layout
256 \begin_layout Corollary*
257 A second, with no intervening text.
258 Note the % to force a separation.
265 \begin_layout Proposition
269 \begin_layout Proposition*
273 \begin_layout Conjecture
277 \begin_layout Conjecture*
278 So wild I didn't number it.
281 \begin_layout Criterion
285 \begin_layout Algorithm
286 first this, then the next
294 Bald statement of fact.
295 Unnumbered environments are often used for emphasis, or in a short presentation
296 that doesn't require numbered results.
304 \begin_layout Definition
305 a word means exactly what I say it means.
308 \begin_layout Definition*
312 \begin_layout Standard
326 \begin_layout Example
327 This should be an example.
330 \begin_layout Standard
347 \begin_layout Condition
351 \begin_layout Problem
352 I don't know what to write is the problem.
356 I think this will be useful.
360 I did it the way the documentation said to.
364 It may need more work yet.
367 \begin_layout Standard
368 More plain text, in standard format.
371 \begin_layout Theorem
372 This is a second numbered theorem
379 \begin_layout Standard
383 \begin_layout Corollary
395 \begin_layout Proposition
399 \begin_layout Conjecture
403 \begin_layout Criterion
407 \begin_layout Notation
408 \begin_inset Formula $S=\mathbb{R}$
414 \begin_layout Summary
415 In the end, will it matter?
418 \begin_layout Acknowledgement
419 Thanks to Mattias Ettrich.
420 Without him I never would have learned \SpecialChar LaTeX
425 If this works, then the rest will.
428 \begin_layout Conclusion
433 Here goes another proof.
436 \begin_layout Standard
440 \begin_layout Section
444 \begin_layout Standard
445 This tries out the section environments.
448 \begin_layout Theorem
456 \begin_layout Standard
460 \begin_layout Corollary
462 First one of this section.
473 \begin_layout Proposition
477 \begin_layout Conjecture
481 \begin_layout Criterion
485 \begin_layout Subsection
489 \begin_layout Standard
490 With more results therein.
493 \begin_layout Theorem
494 This is a theorem, maybe the fourth one.
501 \begin_layout Standard
505 \begin_layout Corollary
517 \begin_layout Proposition
521 \begin_layout Conjecture
525 \begin_layout Criterion
529 \begin_layout Standard
533 \begin_layout Theorem
541 \begin_layout Standard
546 I believe this is true.
557 \begin_layout Proposition
561 \begin_layout Conjecture
565 \begin_layout Criterion
569 \begin_layout Subsubsection
570 This is the subsection with results.
573 \begin_layout Standard
574 The quick, brown fox jumped over the lazy dog.
577 \begin_layout Theorem
578 This is a theorem - sixth in the series
585 \begin_layout Standard
589 \begin_layout Corollary
601 \begin_layout Proposition
605 \begin_layout Conjecture
609 \begin_layout Criterion
613 \begin_layout Bibliography
614 \begin_inset CommandInset bibitem
628 \begin_layout Bibliography
629 \begin_inset CommandInset bibitem
636 American Mathematical Society,
638 Instructions for preparation of papers and monographs: AMS-\SpecialChar LaTeX
644 \begin_layout Bibliography
645 \begin_inset CommandInset bibitem
652 American Mathematical Society,