appc.tex 5.21 KB
 John Moeller committed Jul 19, 2016 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 %%% -*-LaTeX-*- \chapter{The Third} This is an appendix. There are several books \cite{% Singh:1997:FEE,% Salomon:1995:AT,% Robbins:2005:CSS,% Randell:1982:ODC,% Olver:2010:NHM,% Mittelbach:2004:LC,% Lamport:1985:LDP,% Knuth:1999:DT,% Knuth:1986:TB,% Knuth:1986:MB,% Farmelo:2009:SMH% } listed in our bibliography. We also reference several journal articles \cite{% Wiles:1995:MEC,% Taylor:1995:RTP,% Lahiri:2002:ADA,% Kim:1999:AFC,% Johnson:1978:LDT,% Huskey:1980:LLC,% Heilbron:1969:GBA,% Hall:1994:PNE,% Goldstine:1946:ENI,% Einstein:1911:BMAb,% Einstein:1911:BMAa,% Einstein:1906:NBM,% Cody:1981:APF,% Beebe:1989:PCP,% Babbage:1910:BBA% } and three famous doctoral theses of later winners \cite{% Einstein:1905:NBM,% Dirac:1926:QM,% Bohr:1911:SME% } of the Nobel Prize in Physics (1922, 1933, and 1921): Notice that, even though those citations appeared in \LaTeX{} \verb=\cite{...}= commands with their \BibTeX{} citation labels in reverse alphabetical order, thanks to the \verb=citesort= package, their reference-list numbers have been sorted in numerically ascending order, and then range-reduced. Mention should also be made of a famous Dutch computer scientist's first publication \cite{Dijkstra:1953:FBV}. Font metrics are an important, albeit low-level, aspect of typesetting. See the \emph{Adobe Systems} manual about that company's procedures \cite{Adobe:1990:AFM}. The bibliography at the end of this thesis contains several examples of documents with non-English titles, and their \BibTeX{} entries provide title translations following the practice recommended by the American Mathematical Society and SIAM\@. Here is a sample entry that shows how to do so: % \begin{verbatim} @PhdThesis{Einstein:1905:NBM, author = "Albert Einstein", title = "{Eine Neue Bestimmung der Molek{\"u}ldimensionen}. ({German}) [{A} new determination of molecular dimensions]", type = "Inaugural dissertation", school = "Bern Wyss.", address = "Bern, Switzerland", year = "1905", bibdate = "Fri Dec 17 10:46:57 2004", bibsource = "http://www.math.utah.edu/pub/tex/bib/einstein.bib", note = "Published in \cite{Einstein:1906:NBM}.", acknowledgement = ack-nhfb, language = "German", advisor = "Alfred Kleiner (24 April 1849--3 July 1916)", URL = "http://en.wikipedia.org/wiki/Alfred_Kleiner", remark = "Received August 19, 1905 and published February 8, 1906.", Schilpp-number = "6", } \end{verbatim} The \texttt{note} field in that entry refers to another bibliography entry that need not have been directly cited in the document text. Such cross-references are common in \BibTeX{} files, especially for journal articles where there may be later comments and corrigenda that should be mentioned. Embedded \verb=\cite{}= commands ensure that those possibly-important other entries are always included in the reference list when the entry is cited. The last bibliography entry \cite{Wiles:1995:MEC} in this thesis has a long \texttt{note} field that tells more about what some may view as the most important paper in mathematics in the last century. When entries cite other entries that cite other entries that cite other entries that \ldots{}, multiple passes of \LaTeX{} and \BibTeX{} are needed to ensure consistency. That is another reason why document compilation should be guided by a \texttt{Makefile} or a batch script, rather than expecting the user to remember just how many passes are needed. \BibTeX{} entries are \emph{extensible}, in that arbitrary key\slash value pairs may be present that are not necessarily recognized by any bibliography style files. The \texttt{advisor}, \texttt{acknowledgement}, \texttt{bibdate}, \texttt{bibsource}, \texttt{language}, \texttt{remark}, and \texttt{Schilpp-number} fields are examples, and may be used by other software that processes \BibTeX{} entries, or by humans who read the entries. \texttt{DOI} and \texttt{URL} fields are currently recognized by only a few styles, but that situation will likely change as publishers demand that such important information be included in reference lists. In \BibTeX{} \texttt{title} fields, braces protect words, such as proper nouns and acronyms, that cannot be downcased if the selected bibliography style would otherwise do so. In German, all nouns are capitalized, and the simple way to ensure their protection is to brace the entire German text in the title, as we did in the entry above. The world's first significant computer program may have been that written in 1842 by Lady Augusta Ada Lovelace (1815--1852) for the computation of Bernoulli numbers \cite{Huskey:1980:LLC,Kim:1999:AFC}. She was the assistant to Charles Babbage (1791--1871), and they are the world's first computer programmers. The programming language \emph{Ada} is named after her, and is defined in the ANSI/MIL-STD-1815A Standard; its number commemorates the year of her birth. We do not discuss mathematical \emph{transforms} in this dissertation, but you can find that phrase in the index (except that this sample thesis doesn't have one!) \blah \blah \blah \blah