Generatingfunctionology Cards in LaTeX

Herbert S. Wilf, in his book Generatingfunctionolgy, uses cards as a great way to teach combinatorics. cards.tex is a LaTeX package that allows to create such cards in an easy way.

Here is an example followed by the self-explanatory LaTeX code.

% First row
\Card[0.6]{n}{S}{ Picture }      \Deck{n}{S}{2}{ Picture }      \Deck{n}{S}{5}{ \Rabbit }      \Deck{n}{S}{a}{ Picture }

% Second row
\Card{n}{S}{ \Connected[0.7]{3} }      \Card{n}{S}{ \Connected[0.7]{n} }      \Card{n}{S}{\Cycle[0.7]{ undirected}{3} }      \Card{n}{S}{ \Cycle[0.7]{}{n} }

Examples

In this section, using cards.tex, we produce some cheat sheets of important topics contained in Wilf's book.

Card Structures

The LaTeX code to produce this table is contained in Resources/Card Structures.tex.

The Main Counting Theorems

The LaTeX code to produce this table is contained in Resources/The Main Counting Theorems.tex.

The Exponential Families

The LaTeX code to produce this table is contained in Resources/The Exponential Families.tex.