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Page 1: An introduction to the BEAMER classAn introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 6 / 1. Help! Ask Renate to install Beamer (if not installed in your computer)

An introduction to the BEAMER class

Rodrigo B. Platte

SCHOOL OF MATHEMATICAL AND STATISTICAL SCIENCES

Page 2: An introduction to the BEAMER classAn introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 6 / 1. Help! Ask Renate to install Beamer (if not installed in your computer)

Outline

An introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 2 / 1

Page 3: An introduction to the BEAMER classAn introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 6 / 1. Help! Ask Renate to install Beamer (if not installed in your computer)

Presentation tools

Transparencies – out of fashion

PowerPoint (texpoint ?) – may have to use this if collaborating withothers.Latex – you may already have your paper written ...

slide classProsperBeamer

An introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 3 / 1

Page 4: An introduction to the BEAMER classAn introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 6 / 1. Help! Ask Renate to install Beamer (if not installed in your computer)

Presentation tools

Transparencies – out of fashion

PowerPoint (texpoint ?) – may have to use this if collaborating withothers.

Latex – you may already have your paper written ...slide classProsperBeamer

An introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 3 / 1

Page 5: An introduction to the BEAMER classAn introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 6 / 1. Help! Ask Renate to install Beamer (if not installed in your computer)

Presentation tools

Transparencies – out of fashion

PowerPoint (texpoint ?) – may have to use this if collaborating withothers.Latex – you may already have your paper written ...

slide classProsperBeamer

An introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 3 / 1

Page 6: An introduction to the BEAMER classAn introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 6 / 1. Help! Ask Renate to install Beamer (if not installed in your computer)

Main Features

± Created like any other LaTex document.

+ The final output is a PDF file – easy to share. Uses pdflatex.

+ Structure: section, subsection, and table of contents.

+ Easy to create overlays and dynamic effects.

+ Themes allow you to change the appearance of your presentation.

+ Layout , colors, and fonts can easily be changed globally.

An introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 4 / 1

Page 7: An introduction to the BEAMER classAn introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 6 / 1. Help! Ask Renate to install Beamer (if not installed in your computer)

Help!

Ask Renate to install Beamer (if not installed in your computer)

There is a well written User’s Guide (200 pages)

There is also info on the department’s website.

The internet ...

May look for a solution template (beamer/solutions/conference-talks/)

An introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 5 / 1

Page 8: An introduction to the BEAMER classAn introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 6 / 1. Help! Ask Renate to install Beamer (if not installed in your computer)

Creating a simple frame

\begin{frame} \frametitle{Help!}\begin{itemize}\item Ask Renate to install Beamer (if not installed in your computer)\item There is a well written User’s Guide (200 pages)\item There is also info on the department’s website.\item The internet ...\item May look for a solution template (beamer/solutions/conference-talks/)\end{itemize}\transdissolve

\end{frame}

An introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 6 / 1

Page 9: An introduction to the BEAMER classAn introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 6 / 1. Help! Ask Renate to install Beamer (if not installed in your computer)

Help!

Ask Renate to install Beamer (if not installed in your computer)

There is a well written User’s Guide (200 pages)

There is also info on the department’s website.

The internet ...

May look for a solution template (beamer/solutions/conference-talks/)

An introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 7 / 1

Page 10: An introduction to the BEAMER classAn introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 6 / 1. Help! Ask Renate to install Beamer (if not installed in your computer)

Creating a simple frame with overlay

\begin{frame} \frametitle{Presentation tools}\begin{itemize}

\item Transparencies -- out of fashion\item<2-> PowerPoint (texpoint ?) -- may have to use this if collaborating with others.\item<3-> Latex -- you may already have your paper written ...\begin{itemize}

\item slide class\item Prosper\item \color{red}{\bf Beamer}

\end{itemize}\end{itemize}

\end{frame}

An introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 8 / 1

Page 11: An introduction to the BEAMER classAn introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 6 / 1. Help! Ask Renate to install Beamer (if not installed in your computer)

Presentation tools

Transparencies – out of fashion

PowerPoint (texpoint ?) – may have to use this if collaborating withothers.Latex – you may already have your paper written ...

slide classProsperBeamer

An introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 9 / 1

Page 12: An introduction to the BEAMER classAn introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 6 / 1. Help! Ask Renate to install Beamer (if not installed in your computer)

Presentation tools

Transparencies – out of fashion

PowerPoint (texpoint ?) – may have to use this if collaborating withothers.

Latex – you may already have your paper written ...slide classProsperBeamer

An introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 9 / 1

Page 13: An introduction to the BEAMER classAn introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 6 / 1. Help! Ask Renate to install Beamer (if not installed in your computer)

Presentation tools

Transparencies – out of fashion

PowerPoint (texpoint ?) – may have to use this if collaborating withothers.Latex – you may already have your paper written ...

slide classProsperBeamer

An introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 9 / 1

Page 14: An introduction to the BEAMER classAn introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 6 / 1. Help! Ask Renate to install Beamer (if not installed in your computer)

More overlay specifications

\begin{frame} \frametitle{Presentation tools}\begin{itemize}

\item Transparencies -- out of fashion\only<2->{\item PowerPoint (texpoint ?) }\only<3->{\item Latex --\begin{itemize}

\item slide class\item Prosper\item \color{red}{\bf Beamer}

\end{itemize}}

\end{itemize}\end{frame}

An introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 10 / 1

Page 15: An introduction to the BEAMER classAn introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 6 / 1. Help! Ask Renate to install Beamer (if not installed in your computer)

Presentation tools

Transparencies – out of fashion

An introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 11 / 1

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Presentation tools

Transparencies – out of fashion

PowerPoint (texpoint ?)

An introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 11 / 1

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Presentation tools

Transparencies – out of fashionLatex –

slide classProsperBeamer

An introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 11 / 1

Page 18: An introduction to the BEAMER classAn introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 6 / 1. Help! Ask Renate to install Beamer (if not installed in your computer)

Graphs

\begin{frame} \frametitle{The Hybrid method: A simple example}\begin{center}\includegraphics<1>[height=6cm]{intro1.pdf}\includegraphics<2>[height=6cm]{intro2.pdf}\includegraphics<3>[height=6cm]{intro3.pdf}\includegraphics<4>[height=6cm]{intro4.pdf}\end{center}\end{frame}

An introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 12 / 1

Page 19: An introduction to the BEAMER classAn introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 6 / 1. Help! Ask Renate to install Beamer (if not installed in your computer)

The Hybrid method: A simple example

−3 −1 1 30

0.5

1

1.5

2

2.5

3

x

y

u

An introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 13 / 1

Page 20: An introduction to the BEAMER classAn introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 6 / 1. Help! Ask Renate to install Beamer (if not installed in your computer)

The Hybrid method: A simple example

−3 −1 1 30

0.5

1

1.5

2

2.5

3

x

y

u

An introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 13 / 1

Page 21: An introduction to the BEAMER classAn introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 6 / 1. Help! Ask Renate to install Beamer (if not installed in your computer)

The Hybrid method: A simple example

−3 −1 1 30

0.5

1

1.5

2

2.5

3

x

y

uw

An introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 13 / 1

Page 22: An introduction to the BEAMER classAn introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 6 / 1. Help! Ask Renate to install Beamer (if not installed in your computer)

The Hybrid method: A simple example

−3 −1 1 30

0.5

1

1.5

2

2.5

3

x

y

FN [uw]w

An introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 13 / 1

Page 23: An introduction to the BEAMER classAn introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 6 / 1. Help! Ask Renate to install Beamer (if not installed in your computer)

Four figures in one frame

−3 −1 1 30

0.5

1

1.5

2

2.5

3

x

y

u

−3 −1 1 30

0.5

1

1.5

2

2.5

3

x

y

u

−3 −1 1 30

0.5

1

1.5

2

2.5

3

x

y

uw

−3 −1 1 30

0.5

1

1.5

2

2.5

3

x

y

FN [uw]w

An introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 14 / 1

Page 24: An introduction to the BEAMER classAn introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 6 / 1. Help! Ask Renate to install Beamer (if not installed in your computer)

Theorems

Accuracy depends on the analyticity of the product uw.

Theorem (Tadmor 1986)

Complex plane:

|f (z)| ≤ M (η)

f is analytic inside thestrip of width 2η

The error in a Fourier approximation of f is bounded by

M(η)sinh(η)

exp(−Nη)

An introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 15 / 1

Page 25: An introduction to the BEAMER classAn introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 6 / 1. Help! Ask Renate to install Beamer (if not installed in your computer)

Error estimate

|w(z)| < 10 if

|=z| ≤ η = ±π(

ln 1040

)1/(2λ)

sin( π

)→ π2

4λ+ O(1/λ2)

M(η)sinh(η)

exp(−Nη)→ 40λπ2 exp(−π2N/(4λ))

Choosing −π2N/(4λ) < −30 leads to λ = π2N/120 ≈ 0.08N.

An introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 16 / 1

Page 26: An introduction to the BEAMER classAn introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 6 / 1. Help! Ask Renate to install Beamer (if not installed in your computer)

A frame with a movie

\begin{frame}\frametitle{Wave equation in 2D - $100x100$ Grid}\movie[label=cells,width=9.5cm,

height=7cm,poster,showcontrols,duration=30s]{}{wave_green.avi}

\end{frame}

Note: Movies currently won’t play in Linux.

An introduction to the BEAMER class R. Platte MATHEMATICS AND STATISTICS 17 / 1