-#LyX 2.2 created this file. For more info see http://www.lyx.org/
-\lyxformat 508
+#LyX 2.4 created this file. For more info see https://www.lyx.org/
+\lyxformat 614
\begin_document
\begin_header
\save_transient_properties true
-\origin /buildlyxdir/templates/Articles/
+\origin /systemlyxdir/templates/Articles/
\textclass maa-monthly
\use_default_options true
-\maintain_unincluded_children false
+\maintain_unincluded_children no
\language english
\language_package default
-\inputencoding auto
-\fontencoding global
+\inputencoding utf8
+\fontencoding auto
\font_roman "default" "default"
\font_sans "default" "default"
\font_typewriter "default" "default"
\font_default_family default
\use_non_tex_fonts false
\font_sc false
-\font_osf false
+\font_roman_osf false
+\font_sans_osf false
+\font_typewriter_osf false
\font_sf_scale 100 100
\font_tt_scale 100 100
+\use_microtype false
+\use_dash_ligatures false
\graphics default
\default_output_format default
\output_sync 0
\suppress_date false
\justification true
\use_refstyle 1
+\use_minted 0
+\use_lineno 0
\index Index
\shortcut idx
\color #008000
\tocdepth 3
\paragraph_separation indent
\paragraph_indentation default
-\quotes_language english
+\is_math_indent 0
+\math_numbering_side default
+\quotes_style english
+\dynamic_quotes 0
\papercolumns 1
\papersides 1
\paperpagestyle default
+\tablestyle default
\tracking_changes false
\output_changes false
+\change_bars false
+\postpone_fragile_content false
\html_math_output 0
\html_css_as_file 0
\html_be_strict false
+\docbook_table_output 0
+\docbook_mathml_prefix 1
\end_header
\begin_body
\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!
+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
\end_layout
\begin_layout Itemize
-AMS styles: amsmath, amsthm, amsfonts, amssymb
+AMS styles:
+ amsmath,
+ amsthm,
+ amsfonts,
+ amssymb
\end_layout
\begin_layout Itemize
\end_inset
packages should be minimized as much as possible.
- Math notation, like
+ Math notation,
+ like
\begin_inset Formula $c=\sqrt{a^{2}+b^{2}}$
\end_inset
-, can be left in
+,
+ can be left in
\begin_inset ERT
status open
\end_inset
-'s default Computer Modern typefaces for manuscript preparation; or, if
- you have the appropriate fonts installed, the
+'s default Computer Modern typefaces for manuscript preparation;
+ or,
+ if you have the appropriate fonts installed,
+ the
\family typewriter
mathtime
\family default
\family typewriter
mtpro
\family default
- packages may be used, which will better approximate the finished article.
+ packages may be used,
+ which will better approximate the finished article.
\end_layout
\begin_layout Standard
\end_inset
- command, which will result in something like
+ command,
+ which will result in something like
\begin_inset Flex URL
status open
\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.
+Section headings use an initial capital letter on the first word,
+ with subsequent words lowercase.
+ In general,
+ the style of the journal is to leave all section headings unnumbered.
+ Consult the journal editor if you wish to depart from this and other conventions.
\end_layout
\begin_layout Subsection
\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.
+ 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
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.
+ 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.
+ 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:
+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.
+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.
+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.
+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
\end_inset
-package, please be sure to provide a PDF of the manuscript.
- In the production process,
+package,
+ please be sure to provide a PDF of the manuscript.
+ In the production process,
+
\begin_inset ERT
status open
\end_inset
--generated graphics will eventually be converted to more conventional graphics
- so the
+-generated graphics will eventually be converted to more conventional graphics so the
\shape smallcaps
Monthly
\shape default
\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.
+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.
+Theorems,
+ definitions,
+ proofs,
+ and all that.
\end_layout
\begin_layout Standard
\family typewriter
amsthm
\family default
- package, styling is provided for
+ package,
+ styling is provided for
\family typewriter
theorem
\family default
-,
+,
+
\family typewriter
definition
\family default
-, and
+,
+ and
\family typewriter
remark
\family default
- styles, although the latter two use the same styling.
+ styles,
+ although the latter two use the same styling.
\end_layout
\begin_layout Theorem
\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.
+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
+Proofs set in roman (upright) text,
+ and conclude with an
\begin_inset Quotes eld
\end_inset
\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
+ When the proof ends with an equation or other non-text element,
+ you need to add
\begin_inset ERT
status open
\end_inset
- to the element to set the end of proof symbol; see the
+ to the element to set the end of proof symbol;
+ see the
\family typewriter
amsthm
\family default
\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.
+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*
\end_inset
-The authors wish to thank the Greek polymath Anonymous, whose prolific works
- are an endless source of inspiration.
+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"
+literal "true"
\end_inset
-Adam Parker, Who solved the Bernoulli equation and how did they do it?
+Adam Parker,
+ Who solved the Bernoulli equation and how did they do it?
+
\emph on
Coll.
Math.
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "hopkins"
+literal "true"
\end_inset
-Brian Hopkins, ed.,
+Brian Hopkins,
+ ed.,
+
\emph on
Resources for Teaching Discrete Mathematics
\emph default
-, Mathematical Association of America, Washington DC, 2009.
+,
+ Mathematical Association of America,
+ Washington DC,
+ 2009.
\end_layout
\begin_layout Standard
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.
+ 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
+Office of the President,
+ Princeton University,
+ Princeton NJ 08544
\begin_inset Newline newline
\end_inset
\end_inset
-entered Stanford University in 1891, after failing all of the entrance exams
- except mathematics.
+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.
+ 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
+Hoover Institution,
+ Stanford University,
+ Stanford CA 94305
\begin_inset Newline newline
\end_inset