Advanced latex

Advanced LaTeX

Aubry Verret

October 22, 2013

Macros

Definition

A shorthand command used to abbreviate anothercommand or series of commands.

Fact: LATEX is comprised of numerous macros builton the TEX language.

How to write a Macro

Define a macro in the Preamble using:

\newcommand{command name}{definition}

Example:

\newcommand{\uva}{University of Virginia}

Whenever you want ”University of Virginia” to appear you usethe \uva command.

How to write a Macro

Define a macro in the Preamble using:

\newcommand{command name}{definition}

Example:

\newcommand{\uva}{University of Virginia}

Whenever you want ”University of Virginia” to appear you usethe \uva command.

How to write a Macro

Define a macro in the Preamble using:

\newcommand{command name}{definition}

Example:

\newcommand{\uva}{University of Virginia}

Whenever you want ”University of Virginia” to appear you usethe \uva command.

Macros with Arguments

Specify the number of arguments in square braces:

\newcommand{command name}[# args]{definition}

Refer to the arguments as #1, #2, #3, #4 etc. in thedefinition.

Example:

\newcommand{\shout}[1]{{\Huge{\bf {#1}}}

Pay Attention!\shout{Pay Attention!}

Macros with Arguments

Specify the number of arguments in square braces:

\newcommand{command name}[# args]{definition}

Refer to the arguments as #1, #2, #3, #4 etc. in thedefinition.

Example:

\newcommand{\shout}[1]{{\Huge{\bf {#1}}}

Pay Attention!\shout{Pay Attention!}

Macros with Arguments

Specify the number of arguments in square braces:

\newcommand{command name}[# args]{definition}

Refer to the arguments as #1, #2, #3, #4 etc. in thedefinition.

Example:

\newcommand{\shout}[1]{{\Huge{\bf {#1}}}

Pay Attention!

\shout{Pay Attention!}

Macros with Arguments

Specify the number of arguments in square braces:

\newcommand{command name}[# args]{definition}

Refer to the arguments as #1, #2, #3, #4 etc. in thedefinition.

Example:

\newcommand{\shout}[1]{{\Huge{\bf {#1}}}

Pay Attention!\shout{Pay Attention!}

Macros with Math

$$\sum_{i=0}^n i^n$$

n∑i=0

in

\newcommand{sums}{$$\sum {i=0}ˆn iˆn$$}

\sums

\newcommand{sums}[1]{$$\sum {i=0}ˆ#1 iˆ#1$$}

\sums{5}5∑

i=0

i5

Macros with Math

$$\sum_{i=0}^n i^n$$

n∑i=0

in

\newcommand{sums}{$$\sum {i=0}ˆn iˆn$$}

\sums

\newcommand{sums}[1]{$$\sum {i=0}ˆ#1 iˆ#1$$}

\sums{5}5∑

i=0

i5

Macros with Math

$$\sum_{i=0}^n i^n$$

n∑i=0

in

\newcommand{sums}{$$\sum {i=0}ˆn iˆn$$}

\sums

\newcommand{sums}[1]{$$\sum {i=0}ˆ#1 iˆ#1$$}

\sums{5}5∑

i=0

i5

Renewcommand

Use \renewcommand to redefine an existing command

Example:

The \emph command italicizes its input.

Suppose you want to use it instead of the shout command:

\renewcommand{\emph}[1]{{\Huge{\bf {#1}}}

\emph{Pay Attention!}

Pay Attention!

Renewcommand

Use \renewcommand to redefine an existing command

Example:

The \emph command italicizes its input.

Suppose you want to use it instead of the shout command:

\renewcommand{\emph}[1]{{\Huge{\bf {#1}}}

\emph{Pay Attention!}

Pay Attention!

Renewcommand

Use \renewcommand to redefine an existing command

Example:

The \emph command italicizes its input.

Suppose you want to use it instead of the shout command:

\renewcommand{\emph}[1]{{\Huge{\bf {#1}}}

\emph{Pay Attention!}

Pay Attention!

Renewcommand

Use \renewcommand to redefine an existing command

Example:

The \emph command italicizes its input.

Suppose you want to use it instead of the shout command:

\renewcommand{\emph}[1]{{\Huge{\bf {#1}}}

\emph{Pay Attention!}

Pay Attention!

Renewcommand

Use \renewcommand to redefine an existing command

Example:

The \emph command italicizes its input.

Suppose you want to use it instead of the shout command:

\renewcommand{\emph}[1]{{\Huge{\bf {#1}}}

\emph{Pay Attention!}

Pay Attention!

PerlTeX

PerlTeX allows you to define macros using the Perl programminglanguage

Download:

http://www.ctan.org/tex-archive/macros/latex/contrib/

perltex/

User Manual:http:

//www.tug.org/TUGboat/Articles/tb25-2/tb81pakin.pdf

Ams-LaTeX

Ams-LaTeX is a collection of extensions for LATEX in the form ofdocument classes and packages designed to enhance thetypesetting of mathematics.

The Amsmath package is an extension of AMS-LaTeX thatprovides:

I Superior equation formatting

I Support for multiline equations

I Support for better equation numbering

I Auxilliary packages that provide additional support fordisplayed equations

Additional Packages

The Amsthm package provides extensions to theLATEX \newtheorem command which include:

I Various theorem styles

I More control over numbering

I A proof environment

The Amssymb package provides additional fonts and symbols:

Additional Packages

The Amsthm package provides extensions to theLATEX \newtheorem command which include:

I Various theorem styles

I More control over numbering

I A proof environment

The Amssymb package provides additional fonts and symbols:

Additional Packages

The Amsthm package provides extensions to theLATEX \newtheorem command which include:

I Various theorem styles

I More control over numbering

I A proof environment

The Amssymb package provides additional fonts and symbols:

Amsmath Equation Environments - Align 1

\begin{align}

x^2 + y^2 & = z^2 \nonumber \\

x^3 + y^3 & < z^3

\end{align}

x2 + y2 = z2

x3 + y3 < z3 (1)

Facts:

I Better spacing than the LATEX eqnarray environment

I Use the ”∗” to suppress numbering - \begin{array∗}I Use \nonumber to suppress numbering of individual equations

1This and all following Amsmath slides adapted fromhttp://www.icms.org.uk/downloads/pgcourses/15october/Zachary.pdf

Amsmath Equation Environments - Multline

\begin{multline}

\lim_{x\to\infty}\frac{P(M>x)}{\overline{F^s}(x)} \\

\le \limsup_{x\to\infty}

\frac{P(M>x,\,S_{\tau_1}>x-R+a-\epsilon)}%

{\overline{F^s}(x)} \\

+\gamma

\left(\frac{2-\gamma}{(a-\epsilon)(1-\gamma)^2}\right)

\end{multline}

limx→∞

P(M > x)

F s(x)

≤ lim supx→∞

P(M > x , Sτ1 > x − R + a− ε)F s(x)

+ γ

(2− γ

(a− ε)(1− γ)2

)(2)

Amsmath Equation Environments - Cases

\begin{equation*}

I_A =

\begin{cases}

1 & \text{if $x\in A$}\\

0 & \text{otherwise}

\end{cases}

\end{equation*}

IA =

{1 if x ∈ A

0 otherwise

More Environments

I Equation - single equation on a single line

I Gather - multiple equations with no alignment

I Flalign - horizontally spread version of align

I Split - split single equations with alignment

\begin{equation}

\begin{split}

(a + b)^3 &= (a + b) (a + b)^2 \\

&= (a + b)(a^2 + 2ab + b^2) \\

&= a^3 + 3a^2b + 3ab^2 + b^3

\end{split}

\end{equation}

(a + b)3 = (a + b)(a + b)2

= (a + b)(a2 + 2ab + b2)

= a3 + 3a2b + 3ab2 + b3(3)

Matrix Environments

\begin{equation}

\begin{matrix}

1 & 0 \\

0 & 1

\end{matrix}

\end{equation}

1 00 1

(4)

More Matrix Environments

I pmatrix (1 00 1

)(5)

I bmatrix [1 00 1

](6)

I Bmatrix {1 00 1

}(7)

I vmatrix ∣∣∣∣1 00 1

∣∣∣∣ (8)

I Vmatrix ∥∥∥∥1 00 1

∥∥∥∥ (9)

AMS-LaTeX Assistance

For info on AMS-LaTeX:

http://www.ams.org/tex/amslatex.html

For info on the Amsmath package:

ftp://ftp.ams.org/pub/tex/doc/amsmath/amsldoc.pdf

For info on Amsthm:

ftp://ftp.ams.org/pub/tex/doc/amscls/amsthdoc.pdf

Headers and Footers

Fancyhdr package creates customizable headers andfooters:

\ d o c u m e n t c l a s s { a r t i c l e }\ u s e p a c k a g e { f a n c y h d r }\ p a g e s t y l e { f a n c y p l a i n }

\ b e g i n {document}

\ l h e a d {Aubry W. V e r r e t }\ r h e a d {\ today }

\end{document}

Headers and Footers

Fancyhdr package creates customizable headers andfooters:

\ d o c u m e n t c l a s s { a r t i c l e }\ u s e p a c k a g e { f a n c y h d r }\ p a g e s t y l e { f a n c y p l a i n }

\ b e g i n {document}

\ l h e a d {Aubry W. V e r r e t }\ r h e a d {\ today }

\end{document}

Fancyhdr Output

Fancyhdr Help

You can get assistance with Fancyhdr here:

ftp://ctan.tug.org/tex-archive/macros/latex/

contrib/fancyhdr/fancyhdr.pdf

Minipages

The Minipage environment creates miniature pages withinpages.

\begin{minipage}...\end{minipage}

It is suitable for:

I Grouping figures or tables

I Placement of footnotes attached to images

I Placing a border around a figure and its title

Minipage example

\ b e g i n { f i g u r e } [ htbp ]\ center ing\ b e g i n {min ipage } [ b ]{5 cm}\ center ing\ i n c l u d e g r a p h i c s { image 1}\ c a p t i o n {Capt ion 1}

\end{min ipage }\ b e g i n {min ipage } [ b ]{5 cm}\ center ing\ i n c l u d e g r a p h i c s { image 2}\ c a p t i o n {Capt ion 2}

\end{min ipage }\end{ f i g u r e }

Output

Figure: Science Cat Figure: Physics Cat

Minipage Example Two\ b e g i n { f i g u r e } [ htbp ]\ center ing\ b e g i n {min ipage } [ b ] { 3 . 3 cm}\ center ing\ i n c l u d e g r a p h i c s [ s c a l e =.14]{ g r a p h i c s / s c i e n c e c a t }\ c a p t i o n { S c i e n c e Cat}

\end{min ipage }\ b e g i n {min ipage } [ b ] { 3 . 3 cm}\ center ing\ i n c l u d e g r a p h i c s [ s c a l e =.23]{ g r a p h i c s / p h y s i c s c a t }\ c a p t i o n { P h y s i c s Cat}

\end{min ipage }\ b e g i n {min ipage } [ b ] { 3 . 3 cm}\ center ing\ i n c l u d e g r a p h i c s [ s c a l e =.14]{ g r a p h i c s / s c i e n c e c a t }\ c a p t i o n { S c i e n c e Cat}

\end{min ipage }\ b e g i n {min ipage } [ b ] { 3 . 3 cm}\ center ing\ i n c l u d e g r a p h i c s [ s c a l e =.23]{ g r a p h i c s / p h y s i c s c a t }\ c a p t i o n { P h y s i c s Cat}

\end{min ipage }\end{ f i g u r e }

Figure: Science Cat Figure: Physics Cat

Figure: Science Cat Figure: Physics Cat

Fonts

Default Font: Computer modern

Default font size: 10pt

How to change the default font:

I Additional fonts are available for installation(http://www.tug.dk/FontCatalogue/)

How to change the default font size:

I \documentclass command accepts [11pt] and [12pt] as options

I fix-cm package overrides font size defaults

I special commands

Fonts

Default Font: Computer modern

Default font size: 10pt

How to change the default font:

I Additional fonts are available for installation(http://www.tug.dk/FontCatalogue/)

How to change the default font size:

I \documentclass command accepts [11pt] and [12pt] as options

I fix-cm package overrides font size defaults

I special commands

Font Size Commands

\tiny(5pt)

\scriptsize(7pt)

\footnotesize(8pt)

\small(9pt)

\normalsize(10pt)

\large(12pt)

\Large(14pt)

\LARGE(18pt)

\huge(20pt)\Huge(24pt)

Colored text

Use the xcolor package to add color to your text:

\usepackage{xcolor}

Use {\color{color name} text} to change the text color.

Predefined colors include:

black, white, red, yellow, blue, green, cyan, magenta

Example

{\color{red} This text is red!}

This text is red!

Colored Text Background

\colorbox{yellow}{This text has a yellow background!}

This text has a yellow background!

More Colors!

Use the [dvipsnames] option when you call the colorenvironment:

\usepackage[dvipsnames]{xcolor}

You can now access 68 more colors!

New Colors

Wrap figure

To wrap text around a figure use the Wrapfig package:

\usepackage{wrapfig}

Wrap the figure in the wrapfigure environment:

\begin{wrapfigure}{alignment}{width}...\end{wrapfigure}

alignment Either l (left) or r (right)

width Width of image

Wrapfig Example

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Nullamporttitor rutrum felis eget faucibus. Aliquam erat volutpat. Duiscommodo, libero nec adipiscing pellentesque, risus velit faucibusaugue, eget molestie nibh risus et augue.

\ b e g i n {w r a p f i g u r e }{ l }{40mm}\ b e g i n { c e n t e r }\ i n c l u d e g r a p h i c s { f a r s i d e }

\end{ c e n t e r }\ c a p t i o n { E i n s t e i n }

\end{w r a p f i g u r e }

Integer quis tristique est. Pellentesque lacinia mi mattis ipsumrutrum egestas. Aliquam vestibulum pharetra felis, in congue erosposuere ac.

Output

Compiling multiple .tex files

As your tex file grows, you may find that it becomes more difficultto manage (compiling starts to take a long time, it gets hard tofind things, bugs are harder to find, etc.)

The solution: write several files sepearately and compile themtoether at the end. Use the \input command to read each “child”file into your “root” document...

\input{child1.tex}

\input{child2.tex}

\input{child3.tex}

Compiling multiple .tex filesThe problem with \input is that the “child” files won’t compile ontheir own. The solution is in the subfile package.In the ”root” document the package must be loaded as:

\usepackage{subfiles}

Instead of using \input, ”child” documents must be loaded asfollows:

\subfile{child}

The ”child” documents must start with the following statements:

\documentclass[rootdocument.tex]{subfiles}

\begin{document}

and end with:

\end{document}

Alternate Output

LATEX can directly generate two formats:

dvi Generate using the latex command

pdf Generate using the pdflatex command

dvi supports only the eps image format

pdf supports jpg, png, pdf image formats

Converting from DVI to PDF

Directly (dvi → pdf):

Use dvipdfm.

There is a special button for this in most LATEXeditors.

I Use this if the original file contains postscript figures

Indirectly (dvi → ps → pdf):

Use dvips, then sp2pdf

I typically ineffecient and can produce larger files of lowerquality

Converting from DVI to PDF

Directly (dvi → pdf):

Use dvipdfm.

There is a special button for this in most LATEXeditors.

I Use this if the original file contains postscript figures

Indirectly (dvi → ps → pdf):

Use dvips, then sp2pdf

I typically ineffecient and can produce larger files of lowerquality

Converting from DVI to PDF

Directly (dvi → pdf):

Use dvipdfm.

There is a special button for this in most LATEXeditors.

I Use this if the original file contains postscript figures

Indirectly (dvi → ps → pdf):

Use dvips, then sp2pdf

I typically ineffecient and can produce larger files of lowerquality

Converting from DVI to PDF

Directly (dvi → pdf):

Use dvipdfm.

There is a special button for this in most LATEXeditors.

I Use this if the original file contains postscript figures

Indirectly (dvi → ps → pdf):

Use dvips, then sp2pdf

I typically ineffecient and can produce larger files of lowerquality

HTML output

There are several programs for converting LATEX to HTML:

Hyperlatex Actively maintained to keep up with HTMLstandards

TTH Good at formula conversion

Heava Good overall, written in O Caml

LaTeX2HTML Not well maintained

text4ht Difficult to configure but produces good output

Beamer

It is possible to create sophisticated presentations whileharnessing the power of LATEX

The Beamer class produces presentations that:

I Can be easily cutomized

I Contain overlays

I Can display sophisitcated mathematics

I Are easily converted to handouts

I Compile directly to PDF

How to Use Beamer

Use beamer as the document class:

\documentclass[style]{beamer}

Go here for examples of Beamer styles:

http://mike.depalatis.net/beamerthemes/

Frames

Beamer uses the Frame environment:

\begin{frame}[options]...\end{frame}

Options include:

I fragile allows you to include text using the verbatim orlistings packages on a slide

I allowframebreaks allows Beamer to create extra slides tohandle overflow text

I shrink shrinks contents to fit on one slide

Frames

Beamer uses the Frame environment:

\begin{frame}[options]...\end{frame}

Options include:

I fragile allows you to include text using the verbatim orlistings packages on a slide

I allowframebreaks allows Beamer to create extra slides tohandle overflow text

I shrink shrinks contents to fit on one slide

Example of Frame

How to Make A Table

To make a table in LATEX use the tabular environment:

\begin{tabular}...\end{tabular}

Separate columns with the ”&” symbol

Separate rows with the double backslash ”\\”

How to Make A Table

To make a table in LATEX use the tabular environment:

\begin{tabular}...\end{tabular}

Separate columns with the ”&” symbol

Separate rows with the double backslash ”\\”

Tabular Layout

Specify the column layout when you call tabular:

\begin{tabular}{l|l|l}

Vertical bars produce vertical lines between columns.

Alignment Symbols

I l - align left

I r - align right

I c - centered

Tables

\begin{tabular}{ l | l | l }

Class & Species & Lays eggs? \\

mammal & lion & \XSolidBrush \\

mammal & tiger & \XSolidBrush \\

mammal & platypus & \Checkmark \\

reptile & iguana & \Checkmark \\

reptile & snake & \Checkmark \\

aves & flamingo & \Checkmark \\

\end{tabular}

Class Species Lays eggs?

mammal lion %

mammal tiger %

mammal platypus !

reptile iguana !

reptile snake !

aves flamingo !

TablesChange alignments:

\begin{tabular}{| l | r | c | }

Class & Species & Lays eggs? \\

mammal & lion & \XSolidBrush \\

mammal & tiger & \XSolidBrush \\

mammal & platypus & \Checkmark \\

reptile & iguana & \Checkmark \\

reptile & snake & \Checkmark \\

aves & flamingo & \Checkmark \\

\end{tabular}

Class Species Lays eggs?

mammal lion %

mammal tiger %

mammal platypus !

reptile iguana !

reptile snake !

aves flamingo !

TablesAdd horizontal lines:

\begin{tabular}{| l | r | c | } \hline

Class & Species & Lays eggs? \\ \hline\hline

mammal & lion & \XSolidBrush \\ \hline

mammal & tiger & \XSolidBrush \\ \hline

mammal & platypus & \Checkmark \\ \hline

reptile & iguana & \Checkmark \\ \hline

reptile & snake & \Checkmark \\ \hline

aves & flamingo & \Checkmark \\ \hline

\end{tabular}

Class Species Lays eggs?

mammal lion %

mammal tiger %

mammal platypus !

reptile iguana !

reptile snake !

aves flamingo !

TablesNot so many:

\begin{tabular}{| l | r | c | } \hline

Class & Species & Lays eggs? \\ \hline\hline

mammal & lion & \XSolidBrush \\

& tiger & \XSolidBrush \\

& platypus & \Checkmark \\ \hline

reptile & iguana & \Checkmark \\

& snake & \Checkmark \\ \hline

aves & flamingo & \Checkmark \\ \hline

\end{tabular}

Class Species Lays eggs?

mammal lion %

tiger %

platypus !

reptile iguana !

snake !

aves flamingo !

TablesPartial hlines

\begin{tabular}{| l | r | c | } \hline

Class & Species & Lays eggs? \\ \hline\hline

mammal & lion & \XSolidBrush \\ \cline{2-3}

& tiger & \XSolidBrush \\ \cline{2-3}

& platypus & \Checkmark \\ \hline

reptile & iguana & \Checkmark \\ \cline{2-3}

& snake & \Checkmark \\ \hline

aves & flamingo & \Checkmark \\ \hline

\end{tabular}

Class Species Lays eggs?

mammal lion %

tiger %

platypus !

reptile iguana !

snake !

aves flamingo !

TablesMultirow

\begin{tabular}{| l | r | c | } \hline

Class & Species & Lays eggs? \\ \hline\hline

\multirow{3}{*}{mammal} & lion & \XSolidBrush \\ \cline{2-3}

& tiger & \XSolidBrush \\ \cline{2-3}

& platypus & \Checkmark \\ \hline

\multirow{2}{*}{reptile} & iguana & \Checkmark \\ \cline{2-3}

& snake & \Checkmark \\ \hline

aves & flamingo & \Checkmark \\ \hline

\end{tabular}

Class Species Lays eggs?

mammallion %

tiger %

platypus !

reptileiguana !

snake !

aves flamingo !

TablesColor (colortbl package)

\begin{tabular}{| l | r | c | } \hline

\rowcolor[gray]{0.8} Class & Species & Lays eggs? \\ \hline\hline

\multirow{3}{*}{mammal} & lion & \XSolidBrush \\ \cline{2-3}

& tiger & \XSolidBrush \\ \cline{2-3}

& platypus & \Checkmark \\ \hline

\multirow{2}{*}{reptile} & iguana & \Checkmark \\ \cline{2-3}

& snake & \Checkmark \\ \hline

aves & flamingo & \Checkmark \\ \hline

\end{tabular}

Class Species Lays eggs?

mammallion %

tiger %

platypus !

reptileiguana !

snake !

aves flamingo !

Tables

Better horizontal lines: booktabs package

\begin{tabular}{lrc} \toprule

Class & Species & Lays eggs? \\ \toprule

\multirow{3}{*}{mammal} & lion & \XSolidBrush \\ \cmidrule{2-3}

& tiger & \XSolidBrush \\ \cmidrule{2-3}

& platypus & \Checkmark \\ \midrule

\multirow{2}{*}{reptile}& iguana& \Checkmark \\ \cmidrule{2-3}

& snake & \Checkmark \\ \midrule

aves & flamingo& \Checkmark \\ \bottomrule

\end{tabular}

Tables

Better horizontal lines: booktabs package

Class Species Lays eggs?

mammallion %

tiger %

platypus !

reptileiguana !

snake !

aves flamingo !

Tables

The table enviroment:

\begin{table} ... \end{table}

allows you to:

I Turn a table into a float

I Add a caption

I Number the table for referencing

Tables

table environment

Table: Who lays eggs?

Class Species Lays eggs?

mammallion %

tiger %

platypus !

reptileiguana !

snake !

aves flamingo !

Tables

Formatting Numbers

\begin{tabular}{c r}

Expression & Value \\ \hline

$\pi$ & 3.1416 \\ \hline

$\pi^{\pi}$ & 36.46 \\ \hline

$\pi^{\pi^{\pi}}$ & 80662.7 \\ \hline

\end{tabular}

Expression Valueπ 3.1416ππ 36.46

πππ

80662.7

Tables

One fix:

\begin{tabular}{c r @{.} l}

Expression & \multicolumn {2}{c}{Value} \\ \hline

$\pi$ & 3 & 1416 \\ \hline

$\pi^{\pi}$ & 36 & 46 \\ \hline

$\pi^{\pi^{\pi}}$ & 80662 & 7 \\ \hline

\end{tabular}

Expression Valueπ 3.1416ππ 36.46

πππ

80662.7

Tables

Another Fix (dcolumn package)

\begin{tabular}{cD{,}{.}{5.4}}

Expression & \multicolumn {1}{c}{Value} \\ \hline

$\pi$ & 3,1416 \\ \hline

$\pi^{\pi}$ & 36,46 \\ \hline

$\pi^{\pi^{\pi}}$ & 80662,7 \\ \hline

\end{tabular}

Expression Valueπ 3.1416ππ 36.46

πππ

80662.7

Tables

Another Fix (rccol package)

\begin{tabular}{cR[,][.]{5}{3}}

Expression & \multicolumn {1}{c}{Value} \\ \hline

$\pi$ & 3,1416 \\ \hline

$\pi^{\pi}$ & 36,46 \\ \hline

$\pi^{\pi^{\pi}}$ & 80662,7 \\ \hline

\end{tabular}

Expression Valueπ 3.142ππ 36.460

πππ

80662.700

Tables

Slashed Boxes (slashbox package)

\begin{tabular}{|l|>{$}c<{$}|>{$}c<{$}|} \hline

\backslashbox{Function}{Argument} & 0 & \pi/2 \\ \hline

$\sin$ & 0 & 1 \\ \hline

$\cos$ & 1 & 0 \\ \hline

\end{tabular}

````````````FunctionArgument

0 π/2

sin 0 1cos 1 0

Tables

Making tables look good...

D Pu σN5in test 1 285 lb 38.200 psi5in test 2 287 lb 38.27 psi5in test 3 230 lb 30.67 psi10in test 1 430 lb 248.67 psi10in test 2 433 lb 28.8 psi10in test 3 431 lb 28.7334 psi

Tables

...takes practice.

Table: Maximum load and nominal tension.

D Pu σN(in) (lbs) (psi)

5test 1 285 38.00test 2 287 38.27test 3 230 30.67

10test 1 430 28.67test 2 433 28.87test 3 431 28.73

Where To Get Help

I Books - LATEXConcisely by Adrian Johnstone

I Online - numerous manuals available

I Research Computing Lab -www2.lib.virginia.edu/brown/rescomp/

help/index.html