1 #LyX 1.3 created this file. For more info see http://www.lyx.org/
15 \use_numerical_citations 0
16 \paperorientation portrait
19 \paragraph_separation indent
21 \quotes_language english
25 \paperpagestyle default
36 Department of Mathematics
41 \layout Current Address
49 http://www.lehigh.edu/~dlj0/dlj0.html
55 To Emmanuel, for forcing me to fix this, and Jean-Marc, for making it possible,
57 Also to Mate, who suggested numerous improvements.
66 Primary: 12G34, Secondary: 09G87
69 This is not very abstract.
70 Note that the abstract must be part of the title stuff for AMS.
71 LyX is aware of that since version 0.12.1.
79 This file, and any amsart-* LyX file, can be converted to either of the
80 numbering schemes by simply changing the document class in the
95 amsart - The standard AMS-article format.
96 All results and similar statements are numbered as
97 \begin_inset Formula $(n.m)$
100 , where the first number refers to the section, and the second refers to
101 the total number of results (Theorems, Corollaries, Propositions, Definitions
102 and Remarks, etc.) in that section.
103 There are also many (but not all) environments available unnumbered, which
104 is occasionally needed.
105 Unnumbered environments indicated by an asterisk at the end.
108 amsart-seq - Here, numbering for each type of statement is in its own sequence,
109 with no reference to the section number.
110 There are also many (but not all) environments available unnumbered, which
111 is occasionally needed.
114 This is a numbered theorem
127 Note that two occurrences of the same environment, like two definitions,
128 need to be separated somehow.
129 For the moment, the best way is to include a paragraph with a %, in the
130 LaTeX environment, if you really want two definitions (or whatever) together,
131 with no intervening text of another sort.
134 This is an unnumbered theorem
151 Unnumbered corollary.
166 A second, with no intervening text.
167 Note the % to force a separation.
182 So wild I didn't number it.
188 first this, then the next
194 Bald statement of fact.
195 Unnumbered environments are often used for emphasis, or in a short presentation
196 that doesn't require numbered results.
203 a word means exactly what I say it means.
222 This should be an example.
244 I don't know what to write is the problem.
247 I think this will be useful.
250 I did it the way the documentation said to.
253 It may need more work yet.
256 More plain text, in standard format.
259 This is a second numbered theorem
287 \begin_inset Formula $S=\mathbb{R}$
293 In the end, will it matter?
294 \layout Acknowledgement
296 Thanks to Mattias Ettrich.
297 Without him I never would have learned LaTeX.
300 If this works, then the rest will.
306 Here goes another proof.
315 This tries out the section environments.
328 First one of this section.
349 With more results therein.
352 This is a theorem, maybe the fourth one.
391 I believe this is true.
407 \layout Subsubsection
409 This is the subsection with results.
412 The quick, brown fox jumped over the lazy dog.
415 This is a theorem - sixth in the series
451 American Mathematical Society,
453 Instructions for preparation of papers and monographs: AMS-LaTeX
459 American Mathematical Society,