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1\message{ !name(lesson1.tex)}% LESSON ONE 2% Text following a percentage sign (%) is ignored by the typesetter. 3% In this manual, we will use such text for comments and notes. 4% You do not need to type out these comments. 5 6\documentclass{amsart} 7% Almost all commands start with a backslash (\). 8% amsart is short for American Mathematical Society article. 9 10\thispagestyle{empty} 11%We use this to prevent a page number from appearing. 12 13\begin{document} 14 15\message{ !name(lesson1.tex) !offset(-3) } 16 17\begin{center} 18 \textbf{Lesson One: The Basics} 19\end{center} 20 21\textbf{Font Families} 22 23% One or more blank lines end a paragraph and put the typesetter on a new line. 24I \textbf{love} math! 25 26\LaTeX\ does \emph{not} rhyme with ``paychecks''!\\ 27% The \ after \LaTeX creates a small horizontal space. Try leaving it out. 28% The \\ at the end creates additional vertical space between lines. 29% See Lesson Six for more on spacing. 30% In most cases, \emph and \textit look the same. 31 32\textbf{Math Enviroments, Superscripts, and Subscripts} 33 34The numbers 3, 4, and 5 are a Pythagorean triple because $3^2+4^2=5^2$.\\ 35% The dollar signs ($) open and close the inline math environment. 36 37We all know that $(x^n)'=nx^{n-1}$, but what is $(x^x)'$?\\ 38% Note that the typesetter ignores multiple spaces as above. 39 40The recursive definition for the Fibonacci numbers is 41 42$F_1=1$, $F_2=1$, and $F_n=F_{n-1}+F_{n-2}$ for all integers $n>2$.\\ 43 44Compare $\frac{1}{a+b}\neq\frac{1}{a}+\frac{1}{b}$ to the following. 45 46$$\frac{1}{a+b}\neq\frac{1}{a}+\frac{1}{b}$$ 47%The double dollar signs ($$) open and close the displayed math environment. 48 49We can also display it midline by using ``display-style'': 50$\displaystyle\frac{1}{a+b}\neq\frac{1}{a}+\frac{1}{b}$.\\ 51% Make sure your typeset quotation marks look right! 52 53% To force a page break at any place in your document, you can use 54% \pagebreak or \newpage. 55 56\end{document} 57 58\message{ !name(lesson1.tex) !offset(-58) }