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authorSebastiano Tronto <sebastiano.tronto@gmail.com>2021-05-25 17:10:49 +0200
committerSebastiano Tronto <sebastiano.tronto@gmail.com>2021-05-25 17:10:49 +0200
commitd6c61d988bfa4255baf9cdae42db59ebee38363f (patch)
tree118ff3c2424e735149c145524965a4a337e50beb /src/Lecture3/slides
parent46eef66b1e1571c77dc828d7e950b129b4c8bfd0 (diff)
downloadmathsoftware-d6c61d988bfa4255baf9cdae42db59ebee38363f.tar.gz
mathsoftware-d6c61d988bfa4255baf9cdae42db59ebee38363f.zip
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1\documentclass[11pt]{beamer}
2\usetheme{Madrid}
3\usepackage[utf8]{inputenc}
4\usepackage{amsmath, amssymb, amsfonts, amsthm}
5\usepackage{xcolor}
6
7\usepackage{tikz-cd}
8%\usepackage{enumitem}
9
10\newcommand{\ti}{Ti\emph{k}Z}
11
12\author[\texttt{sebastiano.tronto@uni.lu}]{Sebastiano Tronto}
13\title{The {\ti } graphics package}
14\logo{\includegraphics[scale=0.1]{img/unilu.jpg}}
15%\institute{University of Luxembourg}
16
17\newcommand{\bs}{\textbackslash}
18
19\date{2021-03-26}
20
21\begin{document}
22
23\begin{frame}
24 \titlepage
25\end{frame}
26
27
28\begin{frame}{\ti}
29 \begin{center}
30 ``{\ti } ist \emph{kein} Zeichenprogramm''
31 \end{center}
32
33 \vspace{1cm}
34 \begin{itemize}
35 \item ``Writing'' graphics as you write text and formulas in LaTeX
36 \begin{align*}
37 \text{\ti} : \text{graphics} = \text{LaTeX} : \text{text}
38 \end{align*}
39 \item Draw shapes, paths, diagrams...
40 \item Countless extension packages
41 \end{itemize}
42\end{frame}
43
44\begin{frame}{References}
45 \begin{itemize}
46 \item Wikibooks, short introduction:
47 \url{https://en.wikibooks.org/wiki/LaTeX/PGF/TikZ}
48
49 \vspace{0.2cm}
50 \item Official manual:
51 {\small\url{http://ctan.cs.uu.nl/graphics/pgf/base/doc/pgfmanual.pdf}}
52
53 (Too long, but nice examples in part \textrm{I})
54
55 \vspace{0.2cm}
56 \item Extension packages and their documentation:
57 \url{https://www.ctan.org/topic/pgf-tikz}
58 \end{itemize}
59\end{frame}
60
61\begin{frame}{Using {\ti}}
62 \begin{itemize}
63 \item In preamble:
64
65 \vspace{0.2cm}
66 \texttt{\bs usepackage\{tikz\}}
67
68 \texttt{\bs usetikzlibrary\{something\} \% if needed}
69
70 \vspace{0.2cm}
71 \item In document body:
72
73 \vspace{0.2cm}
74 \texttt{\bs begin\{tikzpicture\} (\dots) \bs end\{tikzpicture\}}
75
76 \vspace{0.2cm}
77 \item Use \texttt{[scale=\emph{n},rotate=\emph{angle}]} to scale or rotate
78 the whole picture.
79 \end{itemize}
80\end{frame}
81
82
83\begin{frame}{Coordinates}
84 \begin{itemize}
85 \item $3$ ways to express coordinates:
86
87 \vspace{0.2cm}
88 \begin{itemize}
89 \item Cartesian, no unit = cm
90
91 Example: \texttt{(2cm,11pt)}
92
93 \vspace{0.2cm}
94 \item Polar
95
96 Example: \texttt{(180:7cm)}
97
98 \vspace{0.2cm}
99 \item Intersection of vertical line through $p_1$ and horizontal line
100 through $p_2$, points expressed as above (no parenthesis)
101
102 Example: \texttt{(0,1 |- 30:2)}
103 \end{itemize}
104 \item More intersections: \texttt{\bs usetikzlibrary\{intersections\}}
105 \item Give names to points: \texttt{\bs coordinate (X) at (1,-4);}
106 \end{itemize}
107\end{frame}
108
109\begin{frame}{Drawing straight lines}
110 \begin{center}
111 \texttt{\bs draw (P1) -- (P2) -- ... -- (Pn);}
112 \end{center}
113
114 \vspace{0.5cm}
115 \begin{itemize}
116 \item Points expressed in coordinates as before.
117 \item Add \texttt{-- cycle} to close the path.
118 \end{itemize}
119\end{frame}
120
121\begin{frame}{Curved lines and other shapes}
122 \begin{tabular}{c|l}
123 \tikz \draw (0,0) arc [start angle=30, end angle=120, radius=2cm];
124 & \begin{tabular}{c}
125 \texttt{\bs draw (0,0) arc [start angle=30,} \\
126 \texttt{end angle=120, radius=2cm];}
127 \end{tabular} \\
128 \hline
129 \begin{tikzpicture}
130 \draw[white] (2,1) -- (2,1.2); % Just for spacing the table
131 \draw (0,0) rectangle (2,1);
132 \end{tikzpicture} &
133 \texttt{\bs draw (0,0) rectangle (2,1);} \\
134 \hline
135 \begin{tikzpicture}
136 \draw[white] (0,0) -- (0,0.7); % Just for spacing the table
137 \draw (0,0) circle [radius=0.5];
138 \end{tikzpicture} &
139 \texttt{\bs draw (0,0) circle [radius=0.5];} \\
140 \hline
141 \begin{tikzpicture}
142 \draw[white] (0,0) -- (0,0.7); % Just for spacing the table
143 \draw (0,0) circle [x radius=1,y radius=0.5];
144 \end{tikzpicture} &
145 \texttt{\dots [x radius=1,y radius=0.5];} \\
146 \end{tabular}
147\end{frame}
148
149\begin{frame}[fragile]{Bezier curves}
150 \texttt{\bs draw (P1) ..controls (C1) and (C2).. (P2);}
151
152 \vspace{0.5cm}
153 \begin{columns}
154 \column{0.6\textwidth}
155 A curve from \texttt{P1} to \texttt{P2}, starting in direction of
156 \texttt{C1} and arriving from the direction of \texttt{C2} (usually not
157 touching the control points).
158
159 \vspace{0.5cm}
160 \href{https://en.wikipedia.org/wiki/B\%C3\%A9zier\_curve}
161 {https://en.wikipedia.org/wiki/Bézier\_curve}
162 \column{0.4\textwidth}
163 \begin{tikzpicture}
164 \coordinate (P1) at (0,0);
165 \coordinate (P2) at (4,1);
166 \coordinate (C1) at (0,3);
167 \coordinate (C2) at (3,2);
168
169 \draw[lightgray] (P1) foreach \p in {P1,C1,C2,P2} {-- (\p)};
170 \foreach \p in {P1,C1,C2,P2} {
171 \fill[blue] (\p) circle[radius=0.1] node[label=\p] {};
172 };
173 \draw[thick] (P1) ..controls (C1) and (C2).. (P2);
174 \end{tikzpicture}
175 \end{columns}
176\end{frame}
177
178\begin{frame}{Colors}
179 \begin{itemize}
180 \item Color names already defined: \texttt{red, green, blue, yellow,}
181 \texttt{black, white, gray, darkgray, lightgray, brown, pink\dots}
182
183 \vspace{0.2cm}
184 \item Specify intensity: \texttt{color!n} with $0\leq n \leq 100$.
185
186 \vspace{0.2cm}
187 \item Mix colors: \texttt{color1!n1!color2!n2!\dots}
188
189 \vspace{0.2cm}
190 \item Example:
191 \begin{center}
192 \texttt{blue!50!red!50!green}
193 \end{center}
194 is 50\% blue, 25\% red and 25\% green.
195 \end{itemize}
196\end{frame}
197
198\begin{frame}{Filldraw, change color and line style}
199 \begin{itemize}
200 \item \texttt{\bs draw[\emph{colorname}]} to specify color.
201
202 \vspace{0.2cm}
203 \item \texttt{\bs filldraw[fill=\emph{fillcolor}, draw=\emph{bordercolor}]}
204 to fill path or \texttt{\bs fill} for no border.
205
206 \vspace{0.2cm}
207 \item Line width: \texttt{\bs draw[\emph{thickness}]}, where
208 \texttt{\emph{thickness}} can be \texttt{very thin, thin, thick, very
209 thick\dots} or \texttt{\bs draw[line width=\emph{length}]} where
210 \texttt{\emph{length}} can be \texttt{3pt, 0.1mm\dots}
211
212 \vspace{0.2cm}
213 \item Line style: \texttt{[dashed]} for dashed,
214 \texttt{[->]} or \texttt{[<-]} for arrow.
215 \end{itemize}
216\end{frame}
217
218
219\begin{frame}{Example}
220 \begin{center}
221 \begin{tikzpicture}[scale=0.6]
222 \colorlet{coscolor}{blue}
223 \colorlet{sincolor}{red}
224 \tikzset{anglefill/.style={draw=green,fill=green!30}}
225
226 \pgfmathsetmacro{\r}{4}
227 \pgfmathsetmacro{\a}{60}
228
229 \draw[lightgray!30] (-5,-5) grid[step=1] (5,5);
230 \draw[thick,->] (0,-5) -- (0,5);
231 \draw[thick,->] (-5,0) -- (5,0);
232
233 \filldraw[anglefill] (0,0) -- node[above]{$\a^\circ$}
234 (\r/3,0) arc [start angle=0,end angle=\a,radius=\r/3] -- cycle;
235 \draw[thick] (0,0) circle[radius=\r] -- (\a:\r);
236 \draw[very thick,coscolor] (0,0) --
237 node[below]{$\cos(\a^\circ)$} (\r*cos{\a},0);
238 \draw[very thick,sincolor] (\r*cos{\a},0) --
239 node[right]{$\sin\a^\circ$}(\a:\r);
240 \end{tikzpicture}
241 \end{center}
242\end{frame}
243
244\begin{frame}{Adding text: nodes}
245 \texttt{\bs draw (P1) {\color{red}--} node[\emph{position}]
246 \{\emph{text}\} (P2) \dots}
247
248 \vspace{0.5cm}
249 \texttt{\bs draw {\color{red}(P1)} node[\emph{position}]
250 \{\emph{text}\} -- (P2) \dots}
251
252 \vspace{0.5cm}
253 \begin{itemize}
254 \item A node can refer to a line or to a point
255 \item \texttt{\emph{position}} can be \texttt{above, below, left} or
256 \texttt{right}
257 \item \texttt{\emph{text}} can also be \texttt{\$math\$}
258 \end{itemize}
259\end{frame}
260
261\begin{frame}{Macros}
262 \texttt{\bs pgfmathsetmacro\{\bs x\}\{\emph{value}\}}
263
264 %\texttt{\bs colorlet\{\emph{colorname}\}\{\emph{color}\}}
265
266 \vspace{0.5cm}
267 Examples:
268
269 \vspace{0.2cm}
270 \texttt{\bs pgfmathsetmacro\{\bs r\}\{4\}}
271
272 \texttt{\bs pgfmathsetmacro\{\bs a\}\{30\}}
273\end{frame}
274
275\begin{frame}[fragile,shrink]{Example - {\ti } code}
276 \begin{verbatim}
277 \begin{tikzpicture}
278 \colorlet{coscolor}{blue}
279 \colorlet{sincolor}{red}
280 \tikzset{anglefill/.style={draw=green,fill=green!30}}
281 \pgfmathsetmacro{\r}{4}
282 \pgfmathsetmacro{\a}{60}
283
284 \draw[lightgray!30] (-5,-5) grid[step=1] (5,5);
285 \draw[thick,->] (0,-5) -- (0,5);
286 \draw[thick,->] (-5,0) -- (5,0);
287
288 \filldraw[anglefill] (0,0) -- node[above]{$\a^\circ$}
289 (\r/3,0) arc [start angle=0,end angle=\a,radius=\r/3] -- cycle;
290 \draw[thick] (0,0) circle[radius=\r] -- (\a:\r);
291 \draw[very thick,coscolor] (0,0) --
292 node[below]{$\cos(\a^\circ)$} (\r*cos{\a},0);
293 \draw[very thick,sincolor] (\r*cos{\a},0) --
294 node[right]{$\sin\a^\circ$}(\a:\r);
295 \end{tikzpicture}
296 \end{verbatim}
297\end{frame}
298
299\begin{frame}{The \texttt{\bs foreach} command}
300 \texttt{\bs foreach \bs i in \{\emph{list}\} \{ \emph{commands} \};}
301
302 \vspace{0.5cm}
303 \begin{itemize}
304 \item \texttt{\emph{list}} can be fully explicit (like
305 \texttt{\{1,7.2,-42\}}) or partially implicit
306 (like \texttt{\{1.5,1.6,\dots,5.0\}})
307 \item \texttt{\emph{commands}} will be repeated with \texttt{\bs i}
308 varying in \texttt{\emph{list}}
309 \item One can use \texttt{foreach} inside a \texttt{\bs draw}
310 \end{itemize}
311\end{frame}
312
313\begin{frame}{\texttt{\bs foreach} examples}
314 \begin{tabular}{c|l}
315 \tikz \foreach \i in {1,2,3,4} {\draw (\i,0) circle [radius=0.4];}; &
316 \begin{tabular}{l}
317 \texttt{\bs foreach \bs i in \{1,2,3,4\}} \\
318 \texttt{\{\bs draw (\bs i,0) circle [radius=0.4];\}}
319 \end{tabular} \\
320 \tikz[scale=2]\draw (0,0) \foreach\i in {0.0,0.3,...,1.5} {-- (\i,\i^2)}; &
321 \begin{tabular}{l}
322 \texttt{\bs draw (0,0) \bs foreach \bs i in} \\
323 \texttt{ \{0.0,0.3,...,1.5\} \{-- (\bs i,\bs i\^{}2)\};}
324 \end{tabular}
325 \end{tabular}
326\end{frame}
327
328\begin{frame}{External packages}
329 Many external packages, include with \texttt{\bs usepackage}:
330 \url{https://www.ctan.org/topic/pgf-tikz}
331
332 \vspace{0.3cm}
333 \begin{itemize}
334 \item Graphs and similar: \texttt{tikz-cd, adigraph, binarytree\dots}
335 \item Diagrams: \texttt{pgf-pie, bchart, venndiagram\dots}
336 \item Other sciences: \texttt{chemfig, CircuiTikZ\dots}
337 \item Fun: \texttt{battleship, TikZducks, tikz-among-us\dots}
338 \end{itemize}
339\end{frame}
340
341\begin{frame}[fragile]{Commutative diagrams}
342 \begin{center}
343 \begin{tikzcd}
344 T \arrow[drr, bend left, "x"] \arrow[ddr, bend right, "y"']
345 \arrow[dr, dotted, "{(x,y)}" description] & & \\
346 & X \times_Z Y \arrow[r, "p"] \arrow[d, "q"] & X \arrow[d, "f"] \\
347 & Y \arrow[r, "g"] & Z
348 \end{tikzcd}
349 \end{center}
350\end{frame}
351
352\begin{frame}{tikz-cd}
353
354 Reference:
355 {\footnotesize
356 \url{http://ctan.cs.uu.nl/graphics/pgf/contrib/tikz-cd/tikz-cd-doc.pdf}}
357
358 \vspace{0.7cm}
359 \texttt{\bs usepackage\{tikz-cd\}}
360
361 \vspace{0.2cm}
362 \texttt{\bs begin\{tikzcd\}\dots \bs end\{tikzcd\}}
363
364 \vspace{0.5cm}
365 \begin{itemize}
366 \item Works as a \texttt{tabular} or \texttt{matrix} (with \texttt{\&} and
367 \texttt{\bs\bs})
368 \item Everything is in math mode by default
369 \end{itemize}
370\end{frame}
371
372\begin{frame}{Arrows}
373 \texttt{\bs arrow[\emph{direction},"label",other options]}
374
375 \vspace{0.5cm}
376 \begin{itemize}
377 \item \texttt{\emph{direction}} can be any combination of the letters
378 \texttt r (right), \texttt l (left), \texttt d (down) and
379 \texttt u (up)
380 \item The target must exist:
381 \begin{center}
382 \begin{tabular}{ll}
383 \texttt{X \bs arrow[r] \& Y} & \texttt{\% Ok} \\
384 \texttt{X \bs arrow[r] } & \texttt{\% Error} \\
385 \texttt{X \bs arrow[r] \& \{\}} & \texttt{\% Ok}
386 \end{tabular}
387 \end{center}
388 \item Other options describe the shape and style of the arrow
389
390 \end{itemize}
391\end{frame}
392
393\begin{frame}[fragile]{Examples}
394 \begin{tabular}{c|l}
395 \begin{tikzcd} X\arrow[r,dashed,"f"] & Y \end{tikzcd} &
396 \begin{tabular}{l}
397 \texttt{X \bs arrow[r,dashed,"f"] \& Y}
398 \end{tabular} \\
399 & \quad \\
400 \begin{tikzcd}
401 A\arrow[r,bend right,"\pi^2"] & B\arrow[r,bend left,tail] & C
402 \end{tikzcd} &
403 \begin{tabular}{l}
404 \texttt{A \bs arrow[r,bend right,"\bs pi\^{}2"] \&} \\
405 \texttt{B \bs arrow[r,bend left,tail] \& C}
406 \end{tabular} \\
407 & \quad \\
408 \begin{tikzcd}
409 A \arrow[d,"1"'] \arrow[dr,"2"] & B \\
410 C & D \arrow[l] \arrow[u,out=45,in=0]
411 \end{tikzcd} &
412 \begin{tabular}{l}
413 \texttt{A \bs arrow[d,"1"'] \bs arrow[dr,"2"] \& B \bs\bs} \\
414 \texttt{C \& D \bs arrow[l] \bs arrow[u,out=45,in=0]}
415 \end{tabular}
416 \end{tabular}
417\end{frame}
418
419\end{document}
420
diff --git a/src/Lecture3/slides/4-TikZ.toc b/src/Lecture3/slides/4-TikZ.toc
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1\frametitle{Examples}
2\begin{tabular}{c|l}
3 \begin{tikzcd} X\arrow[r,dashed,"f"] & Y \end{tikzcd} &
4 \begin{tabular}{l}
5 \texttt{X \bs arrow[r,dashed,"f"] \& Y}
6 \end{tabular} \\
7 & \quad \\
8 \begin{tikzcd}
9 A\arrow[r,bend right,"\pi^2"] & B\arrow[r,bend left,tail] & C
10 \end{tikzcd} &
11 \begin{tabular}{l}
12 \texttt{A \bs arrow[r,bend right,"\bs pi\^{}2"] \&} \\
13 \texttt{B \bs arrow[r,bend left,tail] \& C}
14 \end{tabular} \\
15 & \quad \\
16 \begin{tikzcd}
17 A \arrow[d,"1"'] \arrow[dr,"2"] & B \\
18 C & D \arrow[l] \arrow[u,out=45,in=0]
19 \end{tikzcd} &
20 \begin{tabular}{l}
21 \texttt{A \bs arrow[d,"1"'] \bs arrow[dr,"2"] \& B \bs\bs} \\
22 \texttt{C \& D \bs arrow[l] \bs arrow[u,out=45,in=0]}
23 \end{tabular}
24 \end{tabular}
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diff --git a/src/Lecture3/slides/5-Beamer.nav b/src/Lecture3/slides/5-Beamer.nav
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1\headcommand {\slideentry {0}{0}{1}{1/1}{}{0}}
2\headcommand {\beamer@framepages {1}{1}}
3\headcommand {\slideentry {0}{0}{2}{2/2}{}{0}}
4\headcommand {\beamer@framepages {2}{2}}
5\headcommand {\slideentry {0}{0}{3}{3/3}{}{0}}
6\headcommand {\beamer@framepages {3}{3}}
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29\headcommand {\beamer@sectionpages {1}{15}}
30\headcommand {\beamer@documentpages {15}}
31\headcommand {\gdef \inserttotalframenumber {13}}
diff --git a/src/Lecture3/slides/5-Beamer.out b/src/Lecture3/slides/5-Beamer.out
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1\documentclass[11pt]{beamer}
2\usetheme{Madrid}
3\usepackage[utf8]{inputenc}
4\usepackage{amsmath, amssymb, amsfonts, amsthm}
5\usepackage{xcolor}
6
7\usepackage{tikz-cd}
8
9\author[\texttt{sebastiano.tronto@uni.lu}]{Sebastiano Tronto}
10\title{Presentations in LaTeX with Beamer}
11\logo{\includegraphics[scale=0.1]{img/unilu.jpg}}
12%\institute{University of Luxembourg}
13
14\newcommand{\bs}{\textbackslash}
15
16\date{2021-03-26}
17
18\begin{document}
19
20\begin{frame}
21 \titlepage
22\end{frame}
23
24\begin{frame}{Why presentation with LaTeX?}
25 Pros:
26
27 \vspace{0.2cm}
28 \begin{itemize}
29 \item Easy to include formulas and theorems
30 \item Portability: \texttt{pdf} = \textbf{portable} document format
31 \item Very fast to get ``good enough'' results (subjective)
32 \end{itemize}
33
34 \vspace{0.5cm}
35 Cons:
36
37 \vspace{0.2cm}
38 \begin{itemize}
39 \item Advanced animations not possible with pdf
40 \item Lack of other presentation-specific features
41 \end{itemize}
42\end{frame}
43
44\begin{frame}{Structure of a Beamer document}
45 \includegraphics[scale=0.35]{img/beamer.png}
46\end{frame}
47
48\begin{frame}{The \texttt{frame} environment}
49 \texttt{\bs begin\{frame\}[options]\{Title\} \,\dots\, \bs end\{frame\}}
50
51 \vspace{0.5cm}
52 Useful options:
53 \begin{itemize}
54 \item \texttt{plain}: no bars on bottom or side
55 \item \texttt{shrink}: content is shrunk to fit in the slide
56 \item \texttt{fragile}: when you have \texttt{tikzpicture},
57 \texttt{listings} or similar
58 \end{itemize}
59\end{frame}
60
61\begin{frame}{Basic animations}
62 \begin{itemize}
63 \item \texttt{\bs pause} for a simple break
64
65 \vspace{0.3cm}
66 \item \texttt{\bs only<start-(end)>\{\emph{stuff}\}} to show
67 \emph{\texttt{stuff}} only on some slides
68
69 Shortcut for lists: \texttt{\bs item<\dots>} or
70 \texttt{\bs begin\{itemize\}[<+->]}
71
72 \vspace{0.3cm}
73 \item Optional:
74 \texttt{\bs setbeamercovered\{transparent\}} (see end of slides)
75
76 \vspace{0.3cm}
77 \item \texttt{\bs uncover<\dots>} does not take space when invisible
78 \end{itemize}
79\end{frame}
80
81\begin{frame}{Theorems and lists}
82 \begin{theorem} This is a Theorem \end{theorem}
83 \begin{proof} With proof \end{proof}
84
85 \begin{itemize}
86 \item \texttt{theorem}, \texttt{proof} and \texttt{definition} already
87 included with beamer.
88 \item Define new theorems as usual (they get a box automatically)
89 \end{itemize}
90\end{frame}
91
92\begin{frame}[fragile]{Custom blocks}
93
94 {
95 \setbeamercolor{block title}{fg=blue,bg=green}
96 \setbeamercolor{block body}{fg=black,bg=pink!50}
97 \begin{block}{A custom block, with ugly colors}
98 \begin{verbatim}
99{
100 \setbeamercolor{block title}{fg=blue,bg=green}
101 \setbeamercolor{block body}{fg=black,bg=pink!50}
102
103 \begin{block}{A custom block, with ugly colors}
104 ...
105 \end{block}
106}
107 \end{verbatim}
108 \end{block}
109 }
110\end{frame}
111
112
113\begin{frame}{Multiple columns}
114 \begin{columns}
115 \column{0.3\textwidth}
116 \texttt{\bs begin\{columns\}}
117
118 \texttt{\qquad\bs column\{\emph{width}\}}
119
120 \texttt{\qquad(stuff)}
121
122 \texttt{\qquad\bs column\{\emph{width}\}}
123
124 \texttt{\qquad(more stuff)}
125
126 \texttt{\qquad\qquad\vdots}
127
128 \texttt{\bs end\{columns\}}
129 \column{0.7\textwidth}
130 \begin{itemize}
131 \item \texttt{\emph{width}} is a length (example:
132 \texttt{0.7\bs textwidth})
133 \item Example: picture on the left, text on the right
134 \item Not specific to Beamer
135 \item Alternative: \texttt{tabular}
136 \end{itemize}
137 \end{columns}
138
139\end{frame}
140
141\begin{frame}{Some advice}
142 \begin{itemize}
143 \item Do not prepare too many slides (1-2 minutes per slide)
144 \item Do not write too much in each slide (split if necessary)
145 \item Pictures and \texttt{itemize}s are great, sentences are not
146 \item Animations are ok (but are they worth the effort?)
147 \end{itemize}
148\end{frame}
149
150\begin{frame}{Examples}
151 Three examples will follow:
152 \begin{itemize}
153 \item A horrible slide
154 \item A better slide with the same content
155 \item A better better slide that took a little more time to write
156 \end{itemize}
157\end{frame}
158
159\begin{frame}{Diophantine equations (bad)}
160 Diophantine equations are a very old problem, dating back to Diophantus of
161 Alexandria (III century A.D.).
162
163 Despite this, they are still today a very hard problem, and there is
164 no general method or algorithm to solve them.
165
166 A notable example is \emph{Fermat's Last Theorem}, stated for the first time
167 in 1637 but proved to be true only in 1995, after more than 350 years!
168\end{frame}
169
170
171\begin{frame}{Diophantine Equations (better)}
172 \begin{itemize}
173 \item Very old problem
174
175 \vspace{0.3cm}
176 \item Very simple formulation, but very hard to solve!
177
178 \vspace{0.3cm}
179 \item ``Fermat's Last Theorem'': stated in 1637 - proved in 1995
180 \end{itemize}
181\end{frame}
182
183\setbeamercovered{transparent}
184\begin{frame}{Diophantine Equations (better better)}
185 \begin{columns}
186 \column{0.45\textwidth}
187 \begin{figure}
188 \begin{center}
189 \includegraphics[scale=0.2]{img/diophantus.jpg}
190 {\footnotesize Diophantus of Alexandria\\ (III century A.D.)}
191 \end{center}
192 \end{figure}
193 \column{0.55\textwidth}
194 \begin{itemize}
195 \item<1-> Very old problem
196 \item<2-> Very simple formulation, but very hard to solve!
197 \item<3-> \emph{Fermat's Last Theorem}: stated in 1637 - proved in 1995
198 \end{itemize}
199 \end{columns}
200\end{frame}
201
202
203\end{document}
diff --git a/src/Lecture3/slides/5-Beamer.toc b/src/Lecture3/slides/5-Beamer.toc
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1\frametitle{Custom blocks}
2
3 {
4 \setbeamercolor{block title}{fg=blue,bg=green}
5 \setbeamercolor{block body}{fg=black,bg=pink!50}
6 \begin{block}{A custom block, with ugly colors}
7 \begin{verbatim}
8{
9 \setbeamercolor{block title}{fg=blue,bg=green}
10 \setbeamercolor{block body}{fg=black,bg=pink!50}
11
12 \begin{block}{A custom block, with ugly colors}
13 ...
14 \end{block}
15}
16 \end{verbatim}
17 \end{block}
18 }
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