Lots of tweaks.

This commit is contained in:
Igal Tabachnik 2017-10-31 09:55:37 +02:00
parent 45b72af377
commit 3715b32a06
12 changed files with 17 additions and 17 deletions

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@ -3,7 +3,7 @@ their structure.
\begin{wrapfigure}[13]{R}{0pt}
\raisebox{0pt}[\dimexpr\height-0.75\baselineskip\relax]{
\fbox{\includegraphics[width=60mm]{images/1_functors.jpg}}}%
\includegraphics[width=60mm]{images/1_functors.jpg}}%
\end{wrapfigure}
\noindent
@ -114,7 +114,7 @@ commuting naturality square in $\cat{D}$ for every morphism in $\cat{C}$.
\begin{figure}[H]
\centering
\fbox{\includegraphics[width=60mm]{images/naturality.jpg}}
\includegraphics[width=60mm]{images/naturality.jpg}
\end{figure}
\noindent

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@ -501,8 +501,7 @@ bool f() {
\end{Verbatim}
\item
\begin{Verbatim}
int f(int x)
{
int f(int x) {
static int y = 0;
y += x;
return y;

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@ -257,8 +257,8 @@ adders follows from the second interpretation of the type signature of
tells us that \code{mappend} maps an element of a monoid set to a
function acting on that set.
\begin{wrapfigure}[11]{R}{0pt}
\raisebox{0pt}[\dimexpr\height-0.75\baselineskip\relax]{
\begin{wrapfigure}[12]{R}{0pt}
\raisebox{0pt}[\dimexpr\height-0.85\baselineskip\relax]{
\includegraphics[width=40mm]{images/monoid.jpg}}
\end{wrapfigure}

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@ -21,7 +21,7 @@ Library.
\begin{figure}
\centering
\fbox{\includegraphics[width=1.56250in]{images/pair.jpg}}
\includegraphics[width=1.56250in]{images/pair.jpg}
\end{figure}
\noindent

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@ -71,7 +71,7 @@ each argument separately to be able to define a bifunctor.
\begin{figure}[H]
\centering
\fbox{\includegraphics[width=40mm]{images/bimap.jpg}}
\includegraphics[width=40mm]{images/bimap.jpg}
\caption{bimap}
\end{figure}

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@ -237,7 +237,7 @@ characteristic of a \emph{contravariant} functor.
\begin{figure}[H]
\centering
\fbox{\includegraphics[width=2.59375in]{images/homsetmapping.jpg}}
\includegraphics[width=2.59375in]{images/homsetmapping.jpg}
\end{figure}
\noindent

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@ -32,7 +32,7 @@ various other (co-)limits, exponential objects, free monoids, etc.
\begin{wrapfigure}[9]{R}{0pt}
\raisebox{0pt}[\dimexpr\height-0.75\baselineskip\relax]{
\fbox{\includegraphics[width=1.78125in]{images/productranking.jpg}}}%
\includegraphics[width=1.78125in]{images/productranking.jpg}}%
\end{wrapfigure}
The product is a simple example of a universal construction. We pick two
@ -73,7 +73,7 @@ you up and down or back and forth --- so to speak. You can visualize the
transformation maps one such sheet corresponding to F, to another,
corresponding to G.
\begin{wrapfigure}[10]{R}{0pt}
\begin{wrapfigure}[13]{R}{0pt}
\raisebox{0pt}[\dimexpr\height-0.75\baselineskip\relax]{
\includegraphics[width=60mm]{images/sheets.png}}%
\end{wrapfigure}

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@ -264,8 +264,7 @@ join :: Monoid w => Writer w (Writer w a) -> Writer w a
join (Writer ((Writer (a, w')), w)) = Writer (a, w `mappend` w')
\end{Verbatim}
\section{\texorpdfstring{The \code{do}
Notation}{The do Notation}}
\section{The \texttt{do} Notation}
One way of writing code using monads is to work with Kleisli arrows ---
composing them using the fish operator. This mode of programming is the

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@ -454,11 +454,11 @@ As you can see, continuations are composed inside out. The final handler
\code{hb} is called from the innermost layer of the computation.
Here's the full instance:
\begin{Verbatim}
\begin{minted}[breaklines,fontsize=\small]{text}
instance Monad (Cont r) where
ka >>= kab = Cont (\hb -> runCont ka (\a -> runCont (kab a) hb))
return a = Cont (\ha -> ha a)
\end{Verbatim}
\end{minted}
\subsection{Interactive Input}

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@ -4,7 +4,7 @@ combining algebras with monads we not only gain a lot of functionality
but we can also answer a few interesting questions.
\begin{wrapfigure}[8]{R}{0pt}
\raisebox{0pt}[\dimexpr\height-0.75\baselineskip\relax]{
\fbox{\includegraphics[width=1.27083in]{images/pigalg.png}}}%
\includegraphics[width=1.27083in]{images/pigalg.png}}%
\end{wrapfigure}
One such question

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@ -13,7 +13,7 @@ Bartosz Milewski\\
\vspace{1.26em}
\noindent
Version 0.2, October 2017\\
Version 0.3, October 2017\\
\vspace{1.6em}
\noindent

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@ -10,6 +10,8 @@
% ********************************************************** %
% HISTORY:
% * Version 0.3 (October, 2017) - Made code font smaller. Various fixes.
%
% * Version 0.2 (October, 2017) - Math typesetting and lots of tweaks!
%
% * Version 0.1 (September, 2017) by Igal Tabachnik.