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CHAPTER 1: Linear Systems

CHAPTER 2: Vector Spaces

CHAPTER 3: Maps Between Spaces

CHAPTER 4: Determinants

CHAPTER 5: Similarity

Apendix

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wfy: Perl script to help wikify Linearalgebra

#!/usr/bin/perl

# section and base number
$S = 1;
$X = 4;

while (<>)
{
# $..$ ==> {$..$}
	s/\$([^\$]+)\$/{\$$1\$}/g;
# \begin{eq..} ==> \n=|[$ $$\n\begin{equation*}
	s/(\\begin\{eq.+\})/\n=|[\$ \$\$\n$1/;
# \end{eq..} ==> \n=|[$ $$\n\end{equation*}
	s/(\\end\{eq.+\})/$1\n\$\$ \$]\n/;
# \( ==> {$
	s/\\\(/{\$/g;
# \) ==> $}
	s/\\\)/\$}/g;
# \begin{definition} ===> "\n>>bgcolor=lightblue<<\n!!!! X.X Definition"
	if (/\\begin{def.+}/) {
	s/(\\begin{def.+})/\n>>bgcolor=lightblue<<\n!!!! $S.$X Definition/;
	$X = $X + 1;
	}
# \end{definition} ==> >><<
	s/\\end{definition}/>><<\n/;

# \begin{example} ===> !!!! X.X Example
	if (/\\begin{example}/) {
	    s/(\\begin{example})/\n!!!! $S.$X Example/;
	    ++$X;
	}
# \end{example} ==> \n
	s/\\end{example}/\n/;

# \begin{theorem} ==> "\n>>bgcolor=lightblue<<\n!!!! X.X Theorem"
	if (/\\begin{theorem}/) {
	    s/(\\begin{theorem})/\n>>bgcolor=lightblue<<\n!!!! $S.$X Theorem/;
	    ++$X;
	}
# \end{theorem} ==> >><<
	s/\\end{theorem}/>><<\n/;

# \begin{lemma} ==> !!!! x.x Lemma
	if (/\\begin{lemma}/) {
	    s/\\begin{lemma}/\n!!!! $S.$X Lemma/;
	    ++$X;
	}
# \end{lemma} ==> \n
	s/\\end{lemma}/\n/;

# \begin{proof} ==> !!!!! PROOF: 
	s/\\begin{proof}/\n!!!!! PROOF:\n/;

# \end{proof} ==> '''''QED'''''
	s/\\end{proof}/'''''QED'''''/;

# \vec{u} ==> \vec{ $u$ }
	s/\\vec{u}/\\vec{ \$u\$ }/g;
# \vec{a} ==> \vec{ $a$ }
	s/\\vec{a}/\\vec{ \$a\$ }/g;
# \Dash ==> --
	s/\\Dash/--/g;

# \begin{align*} ==> \n=|[$ $$\n\begin{align*}
	s/(\\begin{ali.+})/\n=|[\$ \$\$\n$1/;
# \end{ali.} ==> \end{ali.}\n$ $$]\n
	s/(\\end{ali.+})/$1\n\$\$ \$]\n/;

# \begin{multl.} ==> \n=|[$ $$\n\begin{multl.}
	s/(\\begin{multl.+})/\n=|[\$ \$\$\n$1/;
# \end{multl.} ==> \end{multl.}\n$ $$]\n
	s/(\\end{multl.+})/$1\n\$\$ \$]\n/;

# \index{...} ==>
	s/\\index{.+}/ /;
# \definend{...} ==> ''...''
	s/\\definend{(.+)}/''$1''/;

# \noindent ==>
	s/\\noindent//;

# \begin{corollary} ==> !!!! x.x Corollary
	if (/\\begin{corollary}/) {
	    s/\\begin{corollary}/\n!!!! $S.$X Corollary/;
	    ++$X;
	}
# \end{corollary} ==> \n
	s/\\end{corollary}/\n/;


	print;

}


wex: Perl Script to wikify Exercises

#!/usr/bin/perl

# Chapter, Section, Subsection, Number
$C = "One";
$S = "IV";
$B = 4;
$N = 1;
$M = "TOPICS--Analyzing Networks";
$CSB = "$C.$S.$B";

$abc = "a";

while (<>)
{
# \begin{answer}...\end{answer} ==> delete
    if (/\\begin{answer}/) {
	while(!/\\end{answer}/) {
	    $_ = <>;
	}
	$_ = <>;
    }

# \begin{exercises} ==> !Exercises: C.S.B M
    s/\\begin{exercises}/(:title Exercises $CSB --- $M:)\nColor codes: %red%recommended%%, %blue%basic%%, %purple%puzzle%%\n/;
# \end{exercises} ==> 
    s/\\end{exercises}//;

# \recommended \item ==> red
    if (/\\recommended\s?\\item/) {
	s/^.*\\recommended\s?\\item/* %red%$CSB%%.$N /;
	++$N;
    }
# \puzzle \item ==> purple
    if (/\\puzzle\s?\\item/) {
	s/^.*\\puzzle\s?\\item/*.%purple%$CSB%%.$N /;
	++$N;
    }

# \item ==> blue
    if (/\\item/) {
	s/^.*\\item/* %blue%$CSB%%.$N /;
	++$N;
    }

# $..$ ==> {$..$}
	s/\$([^\$]+)\$/{\$$1\$}/g;
# \begin{exparts*} ==>  re-start $abc
    if (/\\begin{ex.+}/) {
	$abc = "a";
	s/(\\begin\{exp.+\})//;
    }
# \end{exparts*} ==>
    s/\\end{exp.+}/ /;

# \partsitem ==> **(a)
    if (/\\partsitem/) {
	s/^.*\\partsitem(.*)/**($abc)$1/;
	++$abc;
    }
# \begin{linsys} ==> \n=|[$ $$\n\begin{linsys}...
    s/[\$]?(\\begin{linsy.+)/\n=|[\$ \$\$\n$1/;
# \end{linsys} ==> \n$$ $]\n
    s/(\\end\{linsys\}).*/$1\n\$\$ \$]\n/;



# \end{exp..} ==> \n=|[$ $$\n\end{exp..}
	s/(\\end\{exp.+\})/$1\n\$\$ \$]\n/;
# \begin{eq..} ==> \n=|[$ $$\n\begin{equation*}
	s/(\\begin\{eq.+\})/\n=|[\$ \$\$\n$1/;
# \end{eq..} ==> \n=|[$ $$\n\end{equation*}
	s/(\\end\{eq.+\})/$1\n\$\$ \$]\n/;

# \( ==> {$
	s/\\\(/{\$/g;
# \) ==> $}
	s/\\\)/\$}/g;

# \vec{u} ==> \vec{ $u$ }
	s/\\vec{u}/\\vec{ \$u\$ }/g;
# \vec{a} ==> \vec{ $a$ }
	s/\\vec{a}/\\vec{ \$a\$ }/g;
# \Dash ==> --
	s/\\Dash/--/g;

# \begin{align*} ==> \n=|[$ $$\n\begin{align*}
	s/(\\begin{ali.+})/\n=|[\$ \$\$\n$1/;
# \end{ali.} ==> \end{ali.}\n$ $$]\n
	s/(\\end{ali.+})/$1\n\$\$ \$]\n/;

# \begin{multl.} ==> \n=|[$ $$\n\begin{multl.}
	s/(\\begin{multl.+})/\n=|[\$ \$\$\n$1/;
# \end{multl.} ==> \end{multl.}\n$ $$]\n
	s/(\\end{multl.+})/$1\n\$\$ \$]\n/;

# \index{...} ==>
	s/\\index{.+}/ /;
# \definend{...} ==> ''...''
	s/\\definend{(.+)}/''$1''/;

# \noindent ==>
	s/\\noindent//;


	print;

}


inline like this \int_0^{\infty} \log x dx is inline.

$$
\begin{eqnarray*}  
 x &amp;=&amp; 2 \\
 x + y &amp;=&amp; 0
\end{eqnarray*}
$$

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Page last modified on 21 February 2006, at 08:28 AM