1 #This file was created by <larsbj> Sun Dec 5 17:48:49 1999
2 #LyX 1.0 (C) 1995-1999 Matthias Ettrich and the LyX Team
15 \paperorientation portrait
18 \paragraph_separation indent
20 \quotes_language english
24 \paperpagestyle default
35 Department of Mathematics
40 \layout Current Address
48 http://www.lehigh.edu/~dlj0/dlj0.html
54 To Emmanuel, for forcing me to fix this, and Jean-Marc, for making it possible,
56 Also to Mate, who suggested numerous improvements.
65 Primary: 12G34, Secondary: 09G87
68 This is not very abstract.
69 Note that the abstract must be part of the title stuff for AMS.
70 LyX is aware of that since version 0.12.1.
78 This file, and any amsart-* LyX file, can be converted to either of the
79 numbering schemes by simply changing the document class in the
94 amsart - The standard AMS-article format.
95 All results and similar statements are numbered as
96 \begin_inset Formula \( (n.m) \)
99 , where the first number refers to the section, and the second refers to
100 the total number of results (Theorems, Corollaries, Propositions, Definitions
101 and Remarks, etc.) in that section.
102 There are also many (but not all) environments available unnumbered, which
103 is occasionally needed.
104 Unnumbered environments indicated by an asterisk at the end.
107 amsart-seq - Here, numbering for each type of statement is in its own sequence,
108 with no reference to the section number.
109 There are also many (but not all) environments available unnumbered, which
110 is occasionally needed.
113 This is a numbered theorem
126 Note that two occurrences of the same environment, like two definitions,
127 need to be separated somehow.
128 For the moment, the best way is to include a paragraph with a %, in the
129 LaTeX environment, if you really want two definitions (or whatever) together,
130 with no intervening text of another sort.
133 This is an unnumbered theorem
150 Unnumbered corollary.
157 A second, with no intervening text.
158 Note the % to force a separation.
173 So wild I didn't number it.
179 first this, then the next
185 Bald statement of fact.
186 Unnumbered environments are often used for emphasis, or in a short presentation
187 that doesn't require numbered results.
194 a word means exactly what I say it means.
213 This should be an example.
235 I don't know what to write is the problem.
238 I think this will be useful.
241 I did it the way the documentation said to.
244 It may need more work yet.
247 More plain text, in standard format.
250 This is a second numbered theorem
278 \begin_inset Formula \( S=\mathbb {R} \)
284 In the end, will it matter?
285 \layout Acknowledgement
287 Thanks to Mattias Ettrich.
288 Without him I never would have learned LaTeX.
291 If this works, then the rest will.
297 Here goes another proof.
306 This tries out the section environments.
319 First one of this section.
340 With more results therein.
343 This is a theorem, maybe the fourth one.
382 I believe this is true.
398 \layout Subsubsection
400 This is the subsection with results.
403 The quick, brown fox jumped over the lazy dog.
406 This is a theorem - sixth in the series
442 American Mathematical Society,
444 Instructions for preparation of papers and monographs: AMS-LaTeX
450 American Mathematical Society,