#LyX 2.2 created this file. For more info see http://www.lyx.org/
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\end_header

\begin_body

\begin_layout Title
Sample Article Title
\end_layout

\begin_layout Abbreviated Title
Abbreviated Article Title
\end_layout

\begin_layout Author
Woodrow Wilson and Herbert Hoover
\end_layout

\begin_layout Abstract
An abstract should not contain concrete mathematics, but rather should be
 discrete.
 Be brief and avoid using mathematical notation except where absolutely
 necessary, since this brief synopsis will be used by search engines to
 identify your article!
\end_layout

\begin_layout Standard
The 
\emph on
American Mathematical Monthly
\emph default
 style incorporates the following 
\begin_inset ERT
status open

\begin_layout Plain Layout


\backslash
LaTeX
\backslash
 
\end_layout

\end_inset

 packages.
 These styles should 
\emph on
not
\emph default
 be included in the document header.
\end_layout

\begin_layout Itemize
times
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\begin_layout Itemize
pifont
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\begin_layout Itemize
graphicx
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\begin_layout Itemize
color
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\begin_layout Itemize
AMS styles: amsmath, amsthm, amsfonts, amssymb
\end_layout

\begin_layout Itemize
url
\end_layout

\begin_layout Standard
Use of other 
\begin_inset ERT
status open

\begin_layout Plain Layout


\backslash
LaTeX
\backslash
 
\end_layout

\end_inset

packages should be minimized as much as possible.
 Math notation, like 
\begin_inset Formula $c=\sqrt{a^{2}+b^{2}}$
\end_inset

, can be left in 
\begin_inset ERT
status open

\begin_layout Plain Layout


\backslash
TeX
\end_layout

\end_inset

's default Computer Modern typefaces for manuscript preparation; or, if
 you have the appropriate fonts installed, the 
\family typewriter
mathtime
\family default
 or 
\family typewriter
mtpro
\family default
 packages may be used, which will better approximate the finished article.
\end_layout

\begin_layout Standard
Web links can be embedded using the 
\begin_inset ERT
status open

\begin_layout Plain Layout


\backslash
verb~
\backslash
url{...}~
\end_layout

\end_inset

 command, which will result in something like 
\begin_inset Flex URL
status open

\begin_layout Plain Layout

http://www.maa.org
\end_layout

\end_inset

.
 These links will be active and stylized in the online publication.
\end_layout

\begin_layout Section
First-level section heading.
\end_layout

\begin_layout Standard
Section headings use an initial capital letter on the first word, with subsequen
t words lowercase.
 In general, the style of the journal is to leave all section headings unnumbere
d.
 Consult the journal editor if you wish to depart from this and other convention
s.
\end_layout

\begin_layout Subsection
Second-level heading.
\end_layout

\begin_layout Standard
The same goes for second-level headings.
 It is not necessary to add font commands to make the math within heads
 bold and sans serif; this change will occur automatically when the production
 style is applied.
\end_layout

\begin_layout Section
Graphics.
\end_layout

\begin_layout Standard
Figures for the 
\shape smallcaps
Monthly
\shape default
 can be submitted as either color or black & white graphics.
 Generally, color graphics will be used for the online publication, and
 converted to black & white images for the print journal.
 We recommend using whatever graphics program you are most comfortable with,
 so long as the submitted graphic is provided as a separate file using a
 standard file format.
\end_layout

\begin_layout Standard
For best results, please follow the following guidelines:
\end_layout

\begin_layout Enumerate
Bitmapped file formats---preferably TIFF or JPEG, but not BMP---are appropriate
 for photographs, using a resolution of at least 300 dpi at the final scaled
 size of the image.
\end_layout

\begin_layout Enumerate
Line art will reproduce best if provided in vector form, preferably EPS.
\end_layout

\begin_layout Enumerate
Alternatively, both photographs and line art can be provided as PDF files.
 Note that creating a PDF does not affect whether the graphic is a bitmap
 or vector; saving a scanned piece of line art as PDF does not convert it
 to scalable line art.
\end_layout

\begin_layout Enumerate
If you generating graphics using a 
\begin_inset ERT
status open

\begin_layout Plain Layout


\backslash
TeX
\backslash
 
\end_layout

\end_inset

package, please be sure to provide a PDF of the manuscript.
 In the production process, 
\begin_inset ERT
status open

\begin_layout Plain Layout


\backslash
TeX
\end_layout

\end_inset

-generated graphics will eventually be converted to more conventional graphics
 so the 
\shape smallcaps
Monthly
\shape default
 can be delivered in e-reader formats.
\end_layout

\begin_layout Enumerate
For photos of contributing authors, we prefer photos that are not cropped
 tight to the author's profile, so that production staff can crop the head
 shot to an equal height and width.
 If possible, avoid photographs that have excess shadows or glare.
\end_layout

\begin_layout Section
Theorems, definitions, proofs, and all that.
\end_layout

\begin_layout Standard
Following the defaults of the 
\family typewriter
amsthm
\family default
 package, styling is provided for 
\family typewriter
theorem
\family default
, 
\family typewriter
definition
\family default
, and 
\family typewriter
remark
\family default
 styles, although the latter two use the same styling.
\end_layout

\begin_layout Theorem
\begin_inset Argument 1
status open

\begin_layout Plain Layout
Pythagorean Theorem
\end_layout

\end_inset

Theorems, lemmas, axioms, and the like are stylized using italicized text.
 These environments can be numbered or unnumbered, at the author's discretion.
\end_layout

\begin_layout Proof
Proofs set in roman (upright) text, and conclude with an 
\begin_inset Quotes eld
\end_inset

end of proof
\begin_inset Quotes erd
\end_inset

 (q.e.d.) symbol that is set automatically when you end the proof environment.
 When the proof ends with an equation or other non-text element, you need
 to add 
\begin_inset ERT
status open

\begin_layout Plain Layout


\backslash
verb~
\backslash
qedhere~
\end_layout

\end_inset

 to the element to set the end of proof symbol; see the 
\family typewriter
amsthm
\family default
 package documentation for more details.
\end_layout

\begin_layout Definition*
\begin_inset Argument 1
status open

\begin_layout Plain Layout
Secant Line
\end_layout

\end_inset

Definitions, remarks, and notation are stylized as roman text.
 They are typically unnumbered, but there are no hard-and-fast rules about
 numbering.
\end_layout

\begin_layout Remark*
Remarks stylize the same as definitions.
\end_layout

\begin_layout Acknowledgments
\begin_inset Argument 1
status open

\begin_layout Plain Layout
Acknowledgment.
\end_layout

\end_inset

The authors wish to thank the Greek polymath Anonymous, whose prolific works
 are an endless source of inspiration.
\end_layout

\begin_layout Bibliography
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "parker13"

\end_inset

Adam Parker, Who solved the Bernoulli equation and how did they do it? 
\emph on
Coll.
 Math.
 J.

\emph default
 
\series bold
44
\series default
 (2013) 89–97.
\end_layout

\begin_layout Bibliography
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "hopkins"

\end_inset

Brian Hopkins, ed., 
\emph on
Resources for Teaching Discrete Mathematics
\emph default
, Mathematical Association of America, Washington DC, 2009.
\end_layout

\begin_layout Standard
\begin_inset Separator plain
\end_inset


\end_layout

\begin_layout Biographies

\end_layout

\begin_deeper
\begin_layout Author Biography
\begin_inset Argument 1
status open

\begin_layout Plain Layout
Woodrow Wilson
\end_layout

\end_inset

received his Ph.D.
 in history and political science from Johns Hopkins University.
 He held visiting positions at Cornell and Wesleyan before joining the faculty
 at Princeton, where he was eventually appointed president of the university.
 Among his proudest accomplishments was the abolition of eating clubs at
 Princeton on the grounds that they were elitist.
\end_layout

\begin_layout Affiliation
Office of the President, Princeton University, Princeton NJ 08544
\begin_inset Newline newline
\end_inset

twoodwilson@princeton.edu
\end_layout

\begin_layout Author Biography
\begin_inset Argument 1
status open

\begin_layout Plain Layout
Herbert Hoover
\end_layout

\end_inset

entered Stanford University in 1891, after failing all of the entrance exams
 except mathematics.
 He received his B.S.
 degree in geology in 1895, spent time as a mining engineer, then was appointed
 by his co-author to the U.S.
 Food Administration and the Supreme Economic Council, where he orchestrated
 the greatest famine relief efforts of all time.
\end_layout

\begin_layout Affiliation
Hoover Institution, Stanford University, Stanford CA 94305
\begin_inset Newline newline
\end_inset

herbhoover@stanford.edu
\end_layout

\end_deeper
\end_body
\end_document
