diff options
Diffstat (limited to 'Master/texmf-dist/doc/latex/halloweenmath/halloweenexample.tex')
-rw-r--r-- | Master/texmf-dist/doc/latex/halloweenmath/halloweenexample.tex | 206 |
1 files changed, 206 insertions, 0 deletions
diff --git a/Master/texmf-dist/doc/latex/halloweenmath/halloweenexample.tex b/Master/texmf-dist/doc/latex/halloweenmath/halloweenexample.tex new file mode 100644 index 00000000000..d6e30050822 --- /dev/null +++ b/Master/texmf-dist/doc/latex/halloweenmath/halloweenexample.tex @@ -0,0 +1,206 @@ +\documentclass[12pt,a4paper]{article} +\usepackage[T1]{fontenc} % not necessary, but recommended +\usepackage{halloweenmath} +\usepackage{hyperref} % just for "\hypersetup" + +\title{Sample Halloween Math} +\author{A.~U.~Thor} +\date{January~6, 2017} + +\hypersetup{ + pdftitle = {Sample Halloween Math}, + pdfauthor = {A. U. Thor}, + pdfsubject = {Sample source file for the halloweenmath package}, + pdfkeywords = {Halloween, math, scary mathematical symbols}, + pdfcreationdate = {D:20170106000000}, + pdfmoddate = {D:20170106000000} +} + + + +\begin{document} + +\maketitle + +A reduction my students are likely to make: +\[\mathwitch \frac{\sin x}{s} = x\,\mathrm{in}\] +The same reduction as an in-line formula: +\(\mathwitch \frac{\sin x}{s} = x\,\mathrm{in}\). + +Now with limits: +\[ + \mathwitch_{i=1}^{n} \frac + {\text{$i$-th magic term}} + {\text{$2^{i}$-th wizardry}} +\] +And repeated in-line: \( \mathwitch_{i=1}^{n} x_{i}y_{i} \). + +The \texttt{bold} math version is honored:\mathversion{bold} +\[ + \mathwitch* + \genfrac{<}{>}{0pt}{} + {\textbf{something terribly}}{\textbf{complicated}} + = 0 +\] +Compare it with \texttt{normal} math\mathversion{normal}: +\[ + \mathwitch* + \genfrac{<}{>}{0pt}{} + {\text{something terribly}}{\text{complicated}} + = 0 +\] +In-line math comparison: +{\boldmath $\mathwitch* f(x)$} versus $\mathwitch* f(x)$. + +There is also a left-facing witch: +\[\reversemathwitch \frac{\sin x}{s} = x\,\mathrm{in}\] +And here is the in-line version: +\(\reversemathwitch \frac{\sin x}{s} = x\,\mathrm{in}\). + +Test for \verb|\dots|: +\[ + \mathwitch_{i_{1}=1}^{n_{1}} \dots \mathwitch_{i_{p}=1}^{n_{p}} + \frac + {\text{$i_{1}$-th magic factor}} + {\text{$2^{i_{1}}$-th wizardry}} + \pumpkin\dots\pumpkin + \frac + {\text{$i_{p}$-th magic factor}} + {\text{$2^{i_{p}}$-th wizardry}} +\] +And repeated in-line: \( \mathwitch\dots\mathwitch_{i=1}^{n} x_{i}y_{i} \). + +\bigbreak + +Now the pumpkins. First the \texttt{bold} math version:\mathversion{bold}: +\[ \bigoplus_{h=1}^{m}\bigpumpkin_{k=1}^{n} P_{h,k} \] +Then the \texttt{normal} one\mathversion{normal}: +\[ \bigoplus_{h=1}^{m}\bigpumpkin_{k=1}^{n} P_{h,k} \] +In-line math comparison: +{\boldmath \( \bigpumpkin_{i=1}^{n} P_{i} \neq \bigoplus_{i=1}^{n} P_{i} \)} +versus \( \bigpumpkin_{i=1}^{n} P_{i} \neq \bigoplus_{i=1}^{n} P_{i} \). + +Close test: {\boldmath $\bigoplus$}$\bigoplus$. +And against the pumpkins: +{\boldmath $\bigpumpkin$}$\bigpumpkin\bigoplus${\boldmath $\bigoplus$}. + +In-line, but with \verb|\limits|: +\( \bigoplus\limits_{h=1}^{m}\bigpumpkin\limits_{k=1}^{n} P_{h,k} \). + +Binary: \( x\pumpkin y \neq x\oplus y \). And in display: +\[ a\pumpkin\frac{x\pumpkin y}{x\oplus y}\otimes b \] +Close test: {\boldmath $\oplus$}$\oplus$. +And with the pumpkins too: +{\boldmath $\pumpkin$}$\pumpkin\oplus${\boldmath $\oplus$}. + +In general, +\[ \bigpumpkin_{i=1}^{n} P_{i} = P_{1}\pumpkin\dots\pumpkin P_{n} \] + +\begingroup + +\bfseries\boldmath + +The same in bold: +\[ \bigpumpkin_{i=1}^{n} P_{i} = P_{1}\pumpkin\dots\pumpkin P_{n} \] + +\endgroup + +Other styles: \( \frac{x\pumpkin y}{2} \), exponent~$Z^{\pumpkin}$, +subscript~$W_{\!x\pumpkin y}$, double script \( 2^{t_{x\pumpkin y}} \). + +\bigbreak + +Clouds. A hypothetical identity: +\( \frac{\sin^{2}x + \cos^{2}x}{\cos^{2}x} = \mathcloud \). +Now the same identity set in display: +\[ \frac{\sin^{2}x + \cos^{2}x}{\cos^{2}x} = \mathcloud \] +Now in smaller size: \( \frac{\sin x+\cos x}{\mathcloud} = 1 \). + +Specular clouds, \texttt{bold}\ldots\mathversion{bold} +\[ \reversemathcloud \longleftrightarrow \mathcloud \] +\ldots and in \texttt{normal} math.\mathversion{normal} +\[ \reversemathcloud \longleftrightarrow \mathcloud \] +In-line math comparison: +{\boldmath \( \reversemathcloud \leftrightarrow \mathcloud \)} +versus \( \reversemathcloud \leftrightarrow \mathcloud \). +Abutting: {\boldmath $\mathcloud$}$\mathcloud$. + +\bigbreak + +Ghosts: \( \mathleftghost \mathghost \mathrightghost \mathghost \mathleftghost +\mathghost \mathrightghost \). Now with letters: \( H \mathghost H \mathghost h +\mathghost ab \mathghost f \mathghost wxy \mathghost \), and also \( +2\mathghost^{3} + 5\mathleftghost^{\!2}-3\mathrightghost_{i} = +12\mathrightghost_{j}^{4} \). Then, what about~$x^{2\mathghost}$ and \( +z_{\!\mathrightghost+1} = z_{\!\mathrightghost}^{2} + z_{\mathghost} \)? + +In subscripts: +\begin{align*} + F_{\mathghost+2} &= F_{\mathghost+1} + F_{\mathghost} \\ + F_{\!\mathrightghost+2} &= F_{\!\mathrightghost+1} + F_{\!\mathrightghost} +\end{align*} +Another test: \( \mathghost | \mathrightghost | \mathghost | \mathleftghost | +\mathghost | \mathrightghost | \mathghost | \mathleftghost | \mathghost \). We +should also try this: \( \mathrightghost \mathleftghost \mathrightghost +\mathleftghost \). + +Extensible arrows: +\begin{gather*} + A \xrightwitchonbroom[a\star f(t)]{x_{1}+\dots+x_{n}} B + \xrightwitchonbroom{x+z} C \xrightwitchonbroom{} D \\ + A \xrightwitchonbroom*[a\star f(t)]{x_{1}+\dots+x_{n}} B + \xrightwitchonbroom*{x+z} C \xrightwitchonbroom*{} D \\ + A \xleftwitchonbroom*[a\star f(t)]{x_{1}+\dots+x_{n}} B + \xleftwitchonbroom*{x+z} C \xleftwitchonbroom*{} D \\ + A \xleftwitchonbroom[a\star f(t)]{x_{1}+\dots+x_{n}} B + \xleftwitchonbroom{x+z} C \xleftwitchonbroom{} D +\end{gather*} +And \( \overrightwitchonbroom*{x_{1}+\dots+x_{n}}=0 \) versus \( +\overrightwitchonbroom{x_{1}+\dots+x_{n}}=0 \); or \( +\overleftwitchonbroom*{x_{1}+\dots+x_{n}}=0 \) versus \( +\overleftwitchonbroom{x_{1}+\dots+x_{n}}=0 \). + +Hovering ghosts: \( \overrightswishingghost{x_{1}+\dots+x_{n}}=0 \). You might +wonder whether there is enough space left for the swishing ghost; let's try +again: \( \overrightswishingghost{(x_{1}+\dots+x_{n})y}=0 \). As you can see, +there is enough room. Lorem ipsum dolor sit amet consectetur adipisci elit. +And \( \overrightswishingghost{\mathstrut} \) too. +\begin{gather*} + A \xrightswishingghost[a\star f(t)]{x_{1}+\dots+x_{n}} B + \xrightswishingghost{x+z} C \xrightswishingghost{} D \\ + A \xleftswishingghost[a\star f(t)]{x_{1}+\dots+x_{n}} B + \xleftswishingghost{x+z} C \xleftswishingghost{} D +\end{gather*} +Another hovering ghost: \( \overleftswishingghost{x_{1}+\dots+x_{n}}=0 \).. +Lorem ipsum dolor sit amet consectetur adipisci elit. Ulla rutrum, vel sivi sit +anismus oret, rubi sitiunt silvae. Let's see how it looks like when the ghost +hovers on a taller formula, as in \( +\overrightswishingghost{H_{1}\oplus\dots\oplus H_{k}} \). Mmmh, it's +suboptimal, to say the least.\footnote{We'd better try \( +\underleftswishingghost{y_{1}+\dots+y_{n}} \), too; well, this one looks good!} + +Under ``arrow-like'' symbols: \( \underleftswishingghost{x_{1}+\dots+x_{n}}=0 \) +and \( \underrightswishingghost{x+y+z} \). There are \( +\underleftwitchonbroom*{x_{1}+\dots+x_{n}}=0 \) and \( +\underrightwitchonbroom*{x+y+z} \) as well. + +\bigbreak + +A comparison between the ``standard'' and the ``script-style'' over\slash under +extensible arrows: +\begin{align*} + \overrightarrow{f_{1}+\dots+f_{n}} + &\neq\overscriptrightarrow{f_{1}+\dots+f_{n}} \\ + \overleftarrow{f_{1}+\dots+f_{n}} + &\neq\overscriptleftarrow{f_{1}+\dots+f_{n}} \\ + \overleftrightarrow{f_{1}+\dots+f_{n}} + &\neq\overscriptleftrightarrow{f_{1}+\dots+f_{n}} \\ + \underrightarrow{f_{1}+\dots+f_{n}} + &\neq\underscriptrightarrow{f_{1}+\dots+f_{n}} \\ + \underleftarrow{f_{1}+\dots+f_{n}} + &\neq\underscriptleftarrow{f_{1}+\dots+f_{n}} \\ + \underleftrightarrow{f_{1}+\dots+f_{n}} + &\neq\underscriptleftrightarrow{f_{1}+\dots+f_{n}} +\end{align*} + +\end{document} |