1 #LyX 1.4.0cvs created this file. For more info see http://www.lyx.org/
10 \paperfontsize default
17 \paperorientation portrait
20 \paragraph_separation indent
22 \quotes_language english
26 \paperpagestyle default
27 \tracking_changes false
46 Department of Mathematics
53 \begin_layout Current Address
65 http://www.lehigh.edu/~dlj0/dlj0.html
68 \begin_layout Keywords
75 To Emmanuel, for forcing me to fix this, and Jean-Marc, for making it possible,
77 Also to Mate, who suggested numerous improvements.
80 \begin_layout Dedicatory
85 \begin_layout Translator
90 \begin_layout Subjectclass
92 Primary: 12G34, Secondary: 09G87
95 \begin_layout Abstract
97 This is not very abstract.
98 Note that the abstract must be part of the title stuff for AMS.
99 LyX is aware of that since version 0.12.1.
104 \begin_layout Section
109 \begin_layout Standard
111 This file, and any amsart-* LyX file, can be converted to either of the
112 numbering schemes by simply changing the document class in the
127 \begin_layout Enumerate
129 amsart - The standard AMS-article format.
130 All results and similar statements are numbered as
131 \begin_inset Formula $(n.m)$
134 , where the first number refers to the section, and the second refers to
135 the total number of results (Theorems, Corollaries, Propositions, Definitions
136 and Remarks, etc.) in that section.
137 There are also many (but not all) environments available unnumbered, which
138 is occasionally needed.
139 Unnumbered environments indicated by an asterisk at the end.
142 \begin_layout Enumerate
144 amsart-seq - Here, numbering for each type of statement is in its own sequence,
145 with no reference to the section number.
146 There are also many (but not all) environments available unnumbered, which
147 is occasionally needed.
150 \begin_layout Theorem
152 This is a numbered theorem
166 \begin_layout Standard
169 Note that two occurrences of the same environment, like two definitions,
170 need to be separated somehow.
171 For the moment, the best way is to include a paragraph with a %, in the
172 LaTeX environment, if you really want two definitions (or whatever) together,
173 with no intervening text of another sort.
176 \begin_layout Theorem*
178 This is an unnumbered theorem
191 \begin_layout Corollary
201 \begin_layout Corollary*
203 Unnumbered corollary.
207 \begin_layout Standard
213 \begin_layout Standard
222 \begin_layout Corollary*
224 A second, with no intervening text.
225 Note the % to force a separation.
233 \begin_layout Proposition
238 \begin_layout Proposition*
243 \begin_layout Conjecture
248 \begin_layout Conjecture*
250 So wild I didn't number it.
253 \begin_layout Criterion
258 \begin_layout Algorithm
260 first this, then the next
270 Bald statement of fact.
271 Unnumbered environments are often used for emphasis, or in a short presentation
272 that doesn't require numbered results.
281 \begin_layout Definition
283 a word means exactly what I say it means.
286 \begin_layout Definition*
291 \begin_layout Standard
306 \begin_layout Example
308 This should be an example.
311 \begin_layout Standard
329 \begin_layout Condition
334 \begin_layout Problem
336 I don't know what to write is the problem.
341 I think this will be useful.
346 I did it the way the documentation said to.
351 It may need more work yet.
354 \begin_layout Standard
356 More plain text, in standard format.
359 \begin_layout Theorem
361 This is a second numbered theorem
369 \begin_layout Standard
374 \begin_layout Corollary
389 \begin_layout Proposition
394 \begin_layout Conjecture
399 \begin_layout Criterion
404 \begin_layout Notation
407 \begin_inset Formula $S=\mathbb{R}$
413 \begin_layout Summary
415 In the end, will it matter?
418 \begin_layout Acknowledgement
420 Thanks to Mattias Ettrich.
421 Without him I never would have learned LaTeX.
426 If this works, then the rest will.
429 \begin_layout Conclusion
436 Here goes another proof.
439 \begin_layout Standard
444 \begin_layout Section
449 \begin_layout Standard
451 This tries out the section environments.
454 \begin_layout Theorem
464 \begin_layout Standard
469 \begin_layout Corollary
472 First one of this section.
485 \begin_layout Proposition
490 \begin_layout Conjecture
495 \begin_layout Criterion
500 \begin_layout Subsection
505 \begin_layout Standard
507 With more results therein.
510 \begin_layout Theorem
512 This is a theorem, maybe the fourth one.
520 \begin_layout Standard
525 \begin_layout Corollary
540 \begin_layout Proposition
545 \begin_layout Conjecture
550 \begin_layout Criterion
555 \begin_layout Standard
560 \begin_layout Theorem
570 \begin_layout Standard
577 I believe this is true.
590 \begin_layout Proposition
595 \begin_layout Conjecture
600 \begin_layout Criterion
605 \begin_layout Subsubsection
607 This is the subsection with results.
610 \begin_layout Standard
612 The quick, brown fox jumped over the lazy dog.
615 \begin_layout Theorem
617 This is a theorem - sixth in the series
625 \begin_layout Standard
630 \begin_layout Corollary
645 \begin_layout Proposition
650 \begin_layout Conjecture
655 \begin_layout Criterion
660 \begin_layout Bibliography
670 \begin_layout Bibliography
673 American Mathematical Society,
675 Instructions for preparation of papers and monographs: AMS-LaTeX
680 \begin_layout Bibliography
683 American Mathematical Society,