Download - 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