Commit 513c937d authored by Niklas Rieken's avatar Niklas Rieken

minor changes

parent 45ae10b2
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......@@ -106,7 +106,7 @@ Hence, the condition for a function $f$ to be convex is that any straight line s
ymin=0,ymax=4,
xtick={\empty},ytick={\empty}, axis on top
]
\addplot[thick,domain=0.25:7,blue,name path=A] {-x/3 + 2.75} coordinate[pos=0.4] (m) ;
\addplot[thick,domain=.25:7,blue,name path=A] {-x/3 + 2.75} coordinate[pos=0.4] (m) ;
\draw[thick,blue,name path=B] (0.15,4) .. controls (1,1) and (4,0) .. (6,2) coordinate[pos=0.075] (a1) coordinate[pos=0.95] (a2);
\path[name intersections={of=A and B, by={a,b}}];
\draw[densely dashed] (0,0) -| node[pos=0.5, color=black, below] {$a$}(a);
......
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......@@ -19,7 +19,6 @@
\usepackage{float}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usetikzlibrary{calc}
\usepackage{listings}
\usepackage{enumitem}
\usepackage{wrapfig}
......@@ -28,7 +27,7 @@
\newcommand*\circled[1]{\tikz[baseline=(char.base)]{
\node[shape=circle,draw,inner sep=2pt] (char) {#1};}}
\usepackage[justification=centering]{caption}
\usetikzlibrary{arrows, automata, graphs, shapes, petri, decorations.pathmorphing}
\usetikzlibrary{calc, arrows, automata, graphs, shapes, petri, decorations.pathmorphing}
\parindent = 0pt
\frenchspacing
\let\emptyset\varnothing
......
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