diff --git a/tex/analysis_2/4_calculus_nvals.tex b/tex/analysis_2/4_calculus_nvals.tex
index b6089d2..ef14dbf 100644
--- a/tex/analysis_2/4_calculus_nvals.tex
+++ b/tex/analysis_2/4_calculus_nvals.tex
@@ -143,15 +143,31 @@ \section{Teorema di Dini}
 \begin{proof}
     [Dimostrazione per $n=2$ e $k=1$.]
     La dimostrazione si articola in tre passaggi: innanzitutto si costruisce $f$, poi ne si verifica la continuità e infine si calcola la sua derivata.
-
-
-    Per ipotesi, $\partial_yg(x_0,y_0) \neq 0$. Ai fini della dimostrazione, si supponga che $\partial_yg(x_0,y_0) > 0$. Per il teorema di permanenza del segno (Thm. \ref{thm:sign}, Cap. \ref{chap:functions}), esiste una scatola $W=[x_0-\delta,x_0+\delta]\times[y_0-\varepsilon,y_0+\varepsilon]\with \delta,\varepsilon>0 \tc \partial_yg(x,y)>0\ \forall (x,y)\in W$. Sia $h(y)=g(x_0,y)\in\C{1}$. Per quanto appena detto, $h(y)$ è una funzione strettamente crescente nell'intervallo $[y_0-\varepsilon, y_0+\varepsilon]$, per cui $h(y_0-\varepsilon)<0=h(y_0)<h(y_0+\varepsilon)$. Si è appena dimostrato che nel punto medio delle basi del rettangolo la funzione $g$ assume segni discordi. Applicando nuovamente il teorema di permanenza del segno, questa volta alla funzione $g(x,y)$ sulle basi del rettangolo, si ha che esiste un intervallo $[x_0-\delta ', x_0+\delta ']$ all'interno del quale $g(x,y_0-\varepsilon)<0<g(x,y_0+\varepsilon)$. Si noti che $\delta$ potrebbe non coincidere con $\delta '$, quindi, detto $\delta=\min\{\delta,\delta '\}$, per comodità la base del rettangolo sarà ancora $[x_0-\delta,x_0+\delta]$.
+    
+    \begin{figure}[ht]
+		\centering
+		\begin{minipage}[t]{0.45\textwidth}
+			\def\svgwidth{\textwidth}
+		  	\input{graphics/thm_dini_1.pdf_tex}
+		  	\caption{Rappresentazione della prima parte della dimostrazione. Le lunghezze \(\delta \) e \(\varepsilon \) indicano la larghezza del pluri-intervallo centrato in \((x_0,y_0)\) in cui \(\partial _y g(x,y) >0\). I segni \(+\) e \(-\) indicano gli intervalli sulle basi in cui \(g(x,y)>0\).}
+            \label{fig:thm_dini_1}
+		\end{minipage}
+		\hfill
+		\begin{minipage}[t]{0.45\textwidth}
+			\def\svgwidth{\textwidth}
+			\input{graphics/thm_dini_2.pdf_tex}
+		  	\caption{Rappresentazione della seconda parte della dimostrazione. Il ragionamento è analogo al precedente.}
+            \label{fig:thm_dini_2}
+		\end{minipage}
+	\end{figure}
+
+    Per ipotesi, $\partial_yg(x_0,y_0) \neq 0$. Ai fini della dimostrazione, si supponga che $\partial_yg(x_0,y_0) > 0$. Per il teorema di permanenza del segno (Thm. \ref{thm:sign}, Cap. \ref{chap:functions}), esiste una scatola $W=[x_0-\delta,x_0+\delta]\times[y_0-\varepsilon,y_0+\varepsilon]\with \delta,\varepsilon>0 \tc \partial_yg(x,y)>0\ \forall (x,y)\in W$ (Fig. \ref{fig:thm_dini_1}). Sia $h(y)=g(x_0,y)\in\C{1}$. Per quanto appena detto, $h(y)$ è una funzione strettamente crescente nell'intervallo $[y_0-\varepsilon, y_0+\varepsilon]$, per cui $h(y_0-\varepsilon)<0=h(y_0)<h(y_0+\varepsilon)$. Si è appena dimostrato che nel punto medio delle basi del rettangolo la funzione $g$ assume segni discordi. Applicando nuovamente il teorema di permanenza del segno, questa volta alla funzione $g(x,y)$ sulle basi del rettangolo, si ha che esiste un intervallo $[x_0-\delta ', x_0+\delta ']$ all'interno del quale $g(x,y_0-\varepsilon)<0<g(x,y_0+\varepsilon)$. Si noti che $\delta$ potrebbe non coincidere con $\delta '$, quindi, detto $\delta=\min\{\delta,\delta '\}$, per comodità la base del rettangolo sarà ancora $[x_0-\delta,x_0+\delta]$.
     
 
     Sia ora la funzione $\tilde{h}(y)=g(\overline{x},y) \in \C{1} \with \overline{x} \in [x_0-\delta,x_0+\delta]$ definita per $y \in [y_0-\varepsilon,y_0+\varepsilon]$. Per quanto detto in precedenza, $\tilde{h}(y_0-\varepsilon)<0<\tilde{h}(y_0+\varepsilon)$. Di conseguenza, per il teorema degli zeri, $\exists!\ \overline{y} \in [y_0-\varepsilon,y_0+\varepsilon] \tc \tilde{h}(\overline{y})=g(\overline{x},\overline{y})=0$. È quindi possibile definire $f:[x_0-\delta,x_0+\delta]\to[y_0-\varepsilon,y_0+\varepsilon] \tc f(\overline{x})=\overline{y} \ \forall\, \overline{x} \in [x_0-\delta,x_0+\delta]$.
 
 
-    Sia $(\overline{x},f(\overline{x}))\in W$. Per verificare la continuità di $f$, si fissi $\overline{\varepsilon}>0$. Allora, per lo stesso ragionamento applicato in precedenza, $g(\overline{x},f(\overline{x})-\overline{\varepsilon})<0=g(\overline{x},f(\overline{x}))<g(\overline{x}, f(\overline{x})+\overline{\varepsilon})$. Per questo motivo, $\exists \overline{\delta} \tc g(x,f(\overline{x})-\overline{\varepsilon}) < 0 < g(x,f(\overline{x})+\overline{\varepsilon}) \ \forall x \in [\overline{x}-\overline{\delta},\overline{x}+\overline{\delta}]\cap[x_0-\delta,x_0+\delta]$. Questo garantisce che $f(\overline{x})-\overline{\varepsilon} < f(x) < f(\overline{x})+\overline{\varepsilon}$, che è esattamente la definizione di continuità (Def. \ref{def:f_cont}, Cap. \ref{chap:functions}).
+    Sia $(\overline{x},f(\overline{x}))\in W$ (Fig. \ref{fig:thm_dini_2}). Per verificare la continuità di $f$, si fissi $\overline{\varepsilon}>0$. Allora, per lo stesso ragionamento applicato in precedenza, $g(\overline{x},f(\overline{x})-\overline{\varepsilon})<0=g(\overline{x},f(\overline{x}))<g(\overline{x}, f(\overline{x})+\overline{\varepsilon})$. Per questo motivo, $\exists \overline{\delta} \tc g(x,f(\overline{x})-\overline{\varepsilon}) < 0 < g(x,f(\overline{x})+\overline{\varepsilon}) \ \forall x \in [\overline{x}-\overline{\delta},\overline{x}+\overline{\delta}]\cap[x_0-\delta,x_0+\delta]$. Questo garantisce che $f(\overline{x})-\overline{\varepsilon} < f(x) < f(\overline{x})+\overline{\varepsilon}$, che è esattamente la definizione di continuità (Def. \ref{def:f_cont}, Cap. \ref{chap:functions}).
 
 
     Per calcolare la derivata di $f$ in $x_1$, che è $\displaystyle\lim_{x_2\to x_1}\frac{f(x_2)-f(x_1)}{x_2-x_1}$, si introduce la funzione ausiliaria $\bm \varphi=(\varphi_1,\varphi_2):[0,1]\to W$ definita come segue:
diff --git a/tex/analysis_2/graphics/thm_dini_1.pdf b/tex/analysis_2/graphics/thm_dini_1.pdf
new file mode 100644
index 0000000..d0c0326
Binary files /dev/null and b/tex/analysis_2/graphics/thm_dini_1.pdf differ
diff --git a/tex/analysis_2/graphics/thm_dini_1.pdf_tex b/tex/analysis_2/graphics/thm_dini_1.pdf_tex
new file mode 100644
index 0000000..d6925a0
--- /dev/null
+++ b/tex/analysis_2/graphics/thm_dini_1.pdf_tex
@@ -0,0 +1,71 @@
+%% Creator: Inkscape 1.3.2 (091e20e, 2023-11-25, custom), www.inkscape.org
+%% PDF/EPS/PS + LaTeX output extension by Johan Engelen, 2010
+%% Accompanies image file 'thm_dini_1.pdf' (pdf, eps, ps)
+%%
+%% To include the image in your LaTeX document, write
+%%   \input{<filename>.pdf_tex}
+%%  instead of
+%%   \includegraphics{<filename>.pdf}
+%% To scale the image, write
+%%   \def\svgwidth{<desired width>}
+%%   \input{<filename>.pdf_tex}
+%%  instead of
+%%   \includegraphics[width=<desired width>]{<filename>.pdf}
+%%
+%% Images with a different path to the parent latex file can
+%% be accessed with the `import' package (which may need to be
+%% installed) using
+%%   \usepackage{import}
+%% in the preamble, and then including the image with
+%%   \import{<path to file>}{<filename>.pdf_tex}
+%% Alternatively, one can specify
+%%   \graphicspath{{<path to file>/}}
+%% 
+%% For more information, please see info/svg-inkscape on CTAN:
+%%   http://tug.ctan.org/tex-archive/info/svg-inkscape
+%%
+\begingroup%
+  \makeatletter%
+  \providecommand\color[2][]{%
+    \errmessage{(Inkscape) Color is used for the text in Inkscape, but the package 'color.sty' is not loaded}%
+    \renewcommand\color[2][]{}%
+  }%
+  \providecommand\transparent[1]{%
+    \errmessage{(Inkscape) Transparency is used (non-zero) for the text in Inkscape, but the package 'transparent.sty' is not loaded}%
+    \renewcommand\transparent[1]{}%
+  }%
+  \providecommand\rotatebox[2]{#2}%
+  \newcommand*\fsize{\dimexpr\f@size pt\relax}%
+  \newcommand*\lineheight[1]{\fontsize{\fsize}{#1\fsize}\selectfont}%
+  \ifx\svgwidth\undefined%
+    \setlength{\unitlength}{278.65597222bp}%
+    \ifx\svgscale\undefined%
+      \relax%
+    \else%
+      \setlength{\unitlength}{\unitlength * \real{\svgscale}}%
+    \fi%
+  \else%
+    \setlength{\unitlength}{\svgwidth}%
+  \fi%
+  \global\let\svgwidth\undefined%
+  \global\let\svgscale\undefined%
+  \makeatother%
+  \begin{picture}(1,0.93634992)%
+    \lineheight{1}%
+    \setlength\tabcolsep{0pt}%
+    \put(0,0){\includegraphics[width=\unitlength,page=1]{thm_dini_1.pdf}}%
+    \put(0.03939815,0.91149567){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$y$\end{tabular}}}}%
+    \put(0.94205932,0.06897639){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$x$\end{tabular}}}}%
+    \put(0,0){\includegraphics[width=\unitlength,page=2]{thm_dini_1.pdf}}%
+    \put(0.37518212,0.63496091){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$+++++++++$\end{tabular}}}}%
+    \put(0.29845941,0.34706817){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$----------$\end{tabular}}}}%
+    \put(0,0){\includegraphics[width=\unitlength,page=3]{thm_dini_1.pdf}}%
+    \put(0.32428352,0.28872758){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$\delta$\end{tabular}}}}%
+    \put(0.66104636,0.28872758){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$\delta$\end{tabular}}}}%
+    \put(0.14438378,0.58487389){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$\varepsilon$\end{tabular}}}}%
+    \put(0.14438378,0.40621296){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$\varepsilon$\end{tabular}}}}%
+    \put(0.49178957,0.0405042){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$x_0$\end{tabular}}}}%
+    \put(0.01886501,0.49685364){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$y_0$\end{tabular}}}}%
+    \put(0.85910798,0.66820398){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$W$\end{tabular}}}}%
+  \end{picture}%
+\endgroup%
diff --git a/tex/analysis_2/graphics/thm_dini_1.svg b/tex/analysis_2/graphics/thm_dini_1.svg
new file mode 100644
index 0000000..183735e
--- /dev/null
+++ b/tex/analysis_2/graphics/thm_dini_1.svg
@@ -0,0 +1,230 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
+
+<svg
+   width="210mm"
+   height="297mm"
+   viewBox="0 0 210 297"
+   version="1.1"
+   id="svg1"
+   inkscape:export-filename="thm_dini_1.pdf"
+   inkscape:export-xdpi="96"
+   inkscape:export-ydpi="96"
+   inkscape:version="1.3.2 (091e20e, 2023-11-25, custom)"
+   sodipodi:docname="thm_dini_1.svg"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns="http://www.w3.org/2000/svg"
+   xmlns:svg="http://www.w3.org/2000/svg">
+  <sodipodi:namedview
+     id="namedview1"
+     pagecolor="#ffffff"
+     bordercolor="#000000"
+     borderopacity="0.25"
+     inkscape:showpageshadow="2"
+     inkscape:pageopacity="0.0"
+     inkscape:pagecheckerboard="0"
+     inkscape:deskcolor="#d1d1d1"
+     inkscape:document-units="mm"
+     inkscape:zoom="1.3843855"
+     inkscape:cx="141.57906"
+     inkscape:cy="645.4127"
+     inkscape:window-width="1920"
+     inkscape:window-height="991"
+     inkscape:window-x="-9"
+     inkscape:window-y="-9"
+     inkscape:window-maximized="1"
+     inkscape:current-layer="layer1" />
+  <defs
+     id="defs1">
+    <marker
+       style="overflow:visible"
+       id="ArrowWideRounded"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Wide, rounded arrow"
+       markerWidth="1"
+       markerHeight="1"
+       viewBox="0 0 1 1"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         style="fill:none;stroke:context-stroke;stroke-width:1;stroke-linecap:round"
+         d="M 3,-3 0,0 3,3"
+         transform="rotate(180,0.125,0)"
+         sodipodi:nodetypes="ccc"
+         id="path2" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="ArrowWideRounded-0"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Wide, rounded arrow"
+       markerWidth="1"
+       markerHeight="1"
+       viewBox="0 0 1 1"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         style="fill:none;stroke:context-stroke;stroke-width:1;stroke-linecap:round"
+         d="M 3,-3 0,0 3,3"
+         transform="rotate(180,0.125,0)"
+         sodipodi:nodetypes="ccc"
+         id="path2-8" />
+    </marker>
+  </defs>
+  <g
+     inkscape:label="Layer 1"
+     inkscape:groupmode="layer"
+     id="layer1">
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.265;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#ArrowWideRounded)"
+       d="M 52.315471,184.58982 V 93.301362"
+       id="path1" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.265;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#ArrowWideRounded-0)"
+       d="M 44.289177,176.83635 H 135.57765"
+       id="path1-0" />
+    <text
+       xml:space="preserve"
+       style="font-size:3.175px;fill:#000000;stroke-width:0.264999;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none"
+       x="48.162159"
+       y="94.986481"
+       id="text2"><tspan
+         sodipodi:role="line"
+         id="tspan2"
+         style="stroke-width:0.265"
+         x="48.162159"
+         y="94.986481">$y$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:3.175px;fill:#000000;stroke-width:0.264999;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none"
+       x="136.89703"
+       y="177.80919"
+       id="text2-4"><tspan
+         sodipodi:role="line"
+         id="tspan2-3"
+         style="stroke-width:0.265"
+         x="136.89703"
+         y="177.80919">$x$</tspan></text>
+    <rect
+       style="fill:none;stroke-width:0.264999;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke:#000000;stroke-opacity:1"
+       id="rect2"
+       width="64.407333"
+       height="33.445942"
+       x="62.68726"
+       y="118.30309" />
+    <text
+       xml:space="preserve"
+       style="font-size:3.175px;fill:none;stroke:#000000;stroke-width:0.264999;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1"
+       x="81.170944"
+       y="122.17085"
+       id="text3"><tspan
+         sodipodi:role="line"
+         id="tspan3"
+         style="stroke-width:0.265"
+         x="81.170944"
+         y="122.17085">$+++++++++$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:3.175px;fill:none;stroke:#000000;stroke-width:0.264999;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1"
+       x="73.628822"
+       y="150.47176"
+       id="text4"><tspan
+         sodipodi:role="line"
+         id="tspan4"
+         style="stroke-width:0.265"
+         x="73.628822"
+         y="150.47176">$----------$</tspan></text>
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.257606px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;stroke-dasharray:1.030424,1.030424;stroke-dashoffset:0"
+       d="M 52.315471,134.97383 H 94.890926"
+       id="path4" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.255833px;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:1.02333, 1.02333;stroke-dashoffset:0;stroke-opacity:1"
+       d="m 95.019729,134.84503 v 41.99132"
+       id="path4-6" />
+    <text
+       xml:space="preserve"
+       style="font-size:3.175px;fill:none;stroke:#000000;stroke-width:0.264999;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
+       x="76.167427"
+       y="156.20685"
+       id="text5"><tspan
+         sodipodi:role="line"
+         id="tspan5"
+         style="stroke-width:0.265;stroke-dasharray:none"
+         x="76.167427"
+         y="156.20685">$\delta$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:3.175px;fill:none;stroke:#000000;stroke-width:0.264999;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
+       x="109.27244"
+       y="156.20685"
+       id="text5-7"><tspan
+         sodipodi:role="line"
+         id="tspan5-9"
+         style="stroke-width:0.265;stroke-dasharray:none"
+         x="109.27244"
+         y="156.20685">$\delta$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:3.175px;fill:none;stroke:#000000;stroke-width:0.264999;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
+       x="58.482628"
+       y="127.09459"
+       id="text6"><tspan
+         sodipodi:role="line"
+         id="tspan6"
+         style="stroke-width:0.265"
+         x="58.482628"
+         y="127.09459">$\varepsilon$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:3.175px;fill:none;stroke:#000000;stroke-width:0.264999;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
+       x="58.482628"
+       y="144.65761"
+       id="text6-5"><tspan
+         sodipodi:role="line"
+         id="tspan6-9"
+         style="stroke-width:0.265"
+         x="58.482628"
+         y="144.65761">$\varepsilon$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:3.175px;fill:none;stroke:#000000;stroke-width:0.264999;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
+       x="92.633881"
+       y="180.60811"
+       id="text7"><tspan
+         sodipodi:role="line"
+         id="tspan7"
+         style="stroke-width:0.265"
+         x="92.633881"
+         y="180.60811">$x_0$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:3.175px;fill:none;stroke:#000000;stroke-width:0.264999;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
+       x="46.143677"
+       y="135.7473"
+       id="text8"><tspan
+         sodipodi:role="line"
+         id="tspan8"
+         style="stroke-width:0.265"
+         x="46.143677"
+         y="135.7473">$y_0$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:3.175px;fill:none;stroke:#000000;stroke-width:0.264999;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
+       x="128.74261"
+       y="118.90294"
+       id="text9"><tspan
+         sodipodi:role="line"
+         id="tspan9"
+         style="stroke-width:0.265"
+         x="128.74261"
+         y="118.90294">$W$</tspan></text>
+  </g>
+</svg>
diff --git a/tex/analysis_2/graphics/thm_dini_2.pdf b/tex/analysis_2/graphics/thm_dini_2.pdf
new file mode 100644
index 0000000..a076d8e
Binary files /dev/null and b/tex/analysis_2/graphics/thm_dini_2.pdf differ
diff --git a/tex/analysis_2/graphics/thm_dini_2.pdf_tex b/tex/analysis_2/graphics/thm_dini_2.pdf_tex
new file mode 100644
index 0000000..e24c8db
--- /dev/null
+++ b/tex/analysis_2/graphics/thm_dini_2.pdf_tex
@@ -0,0 +1,72 @@
+%% Creator: Inkscape 1.3.2 (091e20e, 2023-11-25, custom), www.inkscape.org
+%% PDF/EPS/PS + LaTeX output extension by Johan Engelen, 2010
+%% Accompanies image file 'thm_dini_2.pdf' (pdf, eps, ps)
+%%
+%% To include the image in your LaTeX document, write
+%%   \input{<filename>.pdf_tex}
+%%  instead of
+%%   \includegraphics{<filename>.pdf}
+%% To scale the image, write
+%%   \def\svgwidth{<desired width>}
+%%   \input{<filename>.pdf_tex}
+%%  instead of
+%%   \includegraphics[width=<desired width>]{<filename>.pdf}
+%%
+%% Images with a different path to the parent latex file can
+%% be accessed with the `import' package (which may need to be
+%% installed) using
+%%   \usepackage{import}
+%% in the preamble, and then including the image with
+%%   \import{<path to file>}{<filename>.pdf_tex}
+%% Alternatively, one can specify
+%%   \graphicspath{{<path to file>/}}
+%% 
+%% For more information, please see info/svg-inkscape on CTAN:
+%%   http://tug.ctan.org/tex-archive/info/svg-inkscape
+%%
+\begingroup%
+  \makeatletter%
+  \providecommand\color[2][]{%
+    \errmessage{(Inkscape) Color is used for the text in Inkscape, but the package 'color.sty' is not loaded}%
+    \renewcommand\color[2][]{}%
+  }%
+  \providecommand\transparent[1]{%
+    \errmessage{(Inkscape) Transparency is used (non-zero) for the text in Inkscape, but the package 'transparent.sty' is not loaded}%
+    \renewcommand\transparent[1]{}%
+  }%
+  \providecommand\rotatebox[2]{#2}%
+  \newcommand*\fsize{\dimexpr\f@size pt\relax}%
+  \newcommand*\lineheight[1]{\fontsize{\fsize}{#1\fsize}\selectfont}%
+  \ifx\svgwidth\undefined%
+    \setlength{\unitlength}{278.65597222bp}%
+    \ifx\svgscale\undefined%
+      \relax%
+    \else%
+      \setlength{\unitlength}{\unitlength * \real{\svgscale}}%
+    \fi%
+  \else%
+    \setlength{\unitlength}{\svgwidth}%
+  \fi%
+  \global\let\svgwidth\undefined%
+  \global\let\svgscale\undefined%
+  \makeatother%
+  \begin{picture}(1,0.93634992)%
+    \lineheight{1}%
+    \setlength\tabcolsep{0pt}%
+    \put(0,0){\includegraphics[width=\unitlength,page=1]{thm_dini_2.pdf}}%
+    \put(0.03939815,0.91149567){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$y$\end{tabular}}}}%
+    \put(0.94205932,0.06897639){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$x$\end{tabular}}}}%
+    \put(0,0){\includegraphics[width=\unitlength,page=2]{thm_dini_2.pdf}}%
+    \put(0.32024304,0.44068987){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$++++$\end{tabular}}}}%
+    \put(0.31583523,0.35754543){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$----$\end{tabular}}}}%
+    \put(0,0){\includegraphics[width=\unitlength,page=3]{thm_dini_2.pdf}}%
+    \put(0.32918773,0.28432644){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$\overline{\delta}$\end{tabular}}}}%
+    \put(0.44741546,0.28432644){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$\overline{\delta}$\end{tabular}}}}%
+    \put(0.25333115,0.36589865){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$\overline{\varepsilon}$\end{tabular}}}}%
+    \put(0.25333115,0.43940682){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$\overline{\varepsilon}$\end{tabular}}}}%
+    \put(0.3859481,0.03787072){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$\overline{x}$\end{tabular}}}}%
+    \put(0.02963098,0.40534419){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$\overline{y}$\end{tabular}}}}%
+    \put(0.85910798,0.66820398){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$W$\end{tabular}}}}%
+    \put(0,0){\includegraphics[width=\unitlength,page=4]{thm_dini_2.pdf}}%
+  \end{picture}%
+\endgroup%
diff --git a/tex/analysis_2/graphics/thm_dini_2.svg b/tex/analysis_2/graphics/thm_dini_2.svg
new file mode 100644
index 0000000..565beb8
--- /dev/null
+++ b/tex/analysis_2/graphics/thm_dini_2.svg
@@ -0,0 +1,237 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
+
+<svg
+   width="210mm"
+   height="297mm"
+   viewBox="0 0 210 297"
+   version="1.1"
+   id="svg1"
+   inkscape:export-filename="thm_dini_2.pdf"
+   inkscape:export-xdpi="96"
+   inkscape:export-ydpi="96"
+   inkscape:version="1.3.2 (091e20e, 2023-11-25, custom)"
+   sodipodi:docname="thm_dini_2.svg"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns="http://www.w3.org/2000/svg"
+   xmlns:svg="http://www.w3.org/2000/svg">
+  <sodipodi:namedview
+     id="namedview1"
+     pagecolor="#ffffff"
+     bordercolor="#000000"
+     borderopacity="0.25"
+     inkscape:showpageshadow="2"
+     inkscape:pageopacity="0.0"
+     inkscape:pagecheckerboard="0"
+     inkscape:deskcolor="#d1d1d1"
+     inkscape:document-units="mm"
+     inkscape:zoom="2.768771"
+     inkscape:cx="399.4552"
+     inkscape:cy="559.99574"
+     inkscape:window-width="1920"
+     inkscape:window-height="991"
+     inkscape:window-x="-9"
+     inkscape:window-y="-9"
+     inkscape:window-maximized="1"
+     inkscape:current-layer="layer1" />
+  <defs
+     id="defs1">
+    <marker
+       style="overflow:visible"
+       id="ArrowWideRounded"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Wide, rounded arrow"
+       markerWidth="1"
+       markerHeight="1"
+       viewBox="0 0 1 1"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         style="fill:none;stroke:context-stroke;stroke-width:1;stroke-linecap:round"
+         d="M 3,-3 0,0 3,3"
+         transform="rotate(180,0.125,0)"
+         sodipodi:nodetypes="ccc"
+         id="path2" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="ArrowWideRounded-0"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Wide, rounded arrow"
+       markerWidth="1"
+       markerHeight="1"
+       viewBox="0 0 1 1"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         style="fill:none;stroke:context-stroke;stroke-width:1;stroke-linecap:round"
+         d="M 3,-3 0,0 3,3"
+         transform="rotate(180,0.125,0)"
+         sodipodi:nodetypes="ccc"
+         id="path2-8" />
+    </marker>
+  </defs>
+  <g
+     inkscape:label="Layer 1"
+     inkscape:groupmode="layer"
+     id="layer1">
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.265;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#ArrowWideRounded)"
+       d="M 52.315471,184.58982 V 93.301362"
+       id="path1" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.265;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#ArrowWideRounded-0)"
+       d="M 44.289177,176.83635 H 135.57765"
+       id="path1-0" />
+    <text
+       xml:space="preserve"
+       style="font-size:3.175px;fill:#000000;stroke-width:0.264999;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none"
+       x="48.162159"
+       y="94.986481"
+       id="text2"><tspan
+         sodipodi:role="line"
+         id="tspan2"
+         style="stroke-width:0.265"
+         x="48.162159"
+         y="94.986481">$y$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:3.175px;fill:#000000;stroke-width:0.264999;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none"
+       x="136.89703"
+       y="177.80919"
+       id="text2-4"><tspan
+         sodipodi:role="line"
+         id="tspan2-3"
+         style="stroke-width:0.265"
+         x="136.89703"
+         y="177.80919">$x$</tspan></text>
+    <rect
+       style="fill:none;stroke-width:0.264999;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke:#000000;stroke-opacity:1"
+       id="rect2"
+       width="64.407333"
+       height="33.445942"
+       x="62.68726"
+       y="118.30309" />
+    <text
+       xml:space="preserve"
+       style="font-size:3.175px;fill:none;stroke:#000000;stroke-width:0.264999;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1"
+       x="75.770233"
+       y="141.2684"
+       id="text3"><tspan
+         sodipodi:role="line"
+         id="tspan3"
+         style="stroke-width:0.265"
+         x="75.770233"
+         y="141.2684">$++++$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:3.175px;fill:none;stroke:#000000;stroke-width:0.264999;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1"
+       x="75.336929"
+       y="149.4418"
+       id="text4"><tspan
+         sodipodi:role="line"
+         id="tspan4"
+         style="stroke-width:0.265"
+         x="75.336929"
+         y="149.4418">$----$</tspan></text>
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.220877px;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:0.883504, 0.883504;stroke-dashoffset:0;stroke-opacity:1"
+       d="m 52.315471,143.88414 h 31.30028"
+       id="path4" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.227073px;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:0.908292, 0.908292;stroke-dashoffset:0;stroke-opacity:1"
+       d="m 83.743667,143.75534 v 33.08101"
+       id="path4-6" />
+    <text
+       xml:space="preserve"
+       style="font-size:3.175px;fill:none;stroke:#000000;stroke-width:0.264999;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
+       x="76.649529"
+       y="156.6395"
+       id="text5"><tspan
+         sodipodi:role="line"
+         id="tspan5"
+         style="stroke-width:0.265;stroke-dasharray:none"
+         x="76.649529"
+         y="156.6395">$\overline{\delta}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:3.175px;fill:none;stroke:#000000;stroke-width:0.264999;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
+       x="88.271744"
+       y="156.6395"
+       id="text5-8"><tspan
+         sodipodi:role="line"
+         id="tspan5-3"
+         style="stroke-width:0.265;stroke-dasharray:none"
+         x="88.271744"
+         y="156.6395">$\overline{\delta}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:3.175px;fill:none;stroke:#000000;stroke-width:0.264999;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
+       x="69.192551"
+       y="148.62065"
+       id="text6-5"><tspan
+         sodipodi:role="line"
+         id="tspan6-9"
+         style="stroke-width:0.265"
+         x="69.192551"
+         y="148.62065">$\overline{\varepsilon}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:3.175px;fill:none;stroke:#000000;stroke-width:0.264999;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
+       x="69.192551"
+       y="141.39453"
+       id="text6-5-0"><tspan
+         sodipodi:role="line"
+         id="tspan6-9-4"
+         style="stroke-width:0.265"
+         x="69.192551"
+         y="141.39453">$\overline{\varepsilon}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:3.175px;fill:none;stroke:#000000;stroke-width:0.264999;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
+       x="82.229279"
+       y="180.86699"
+       id="text7"><tspan
+         sodipodi:role="line"
+         id="tspan7"
+         style="stroke-width:0.265"
+         x="82.229279"
+         y="180.86699">$\overline{x}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:3.175px;fill:none;stroke:#000000;stroke-width:0.264999;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
+       x="47.202011"
+       y="144.74301"
+       id="text8"><tspan
+         sodipodi:role="line"
+         id="tspan8"
+         style="stroke-width:0.265"
+         x="47.202011"
+         y="144.74301">$\overline{y}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:3.175px;fill:none;stroke:#000000;stroke-width:0.264999;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
+       x="128.74261"
+       y="118.90294"
+       id="text9"><tspan
+         sodipodi:role="line"
+         id="tspan9"
+         style="stroke-width:0.265"
+         x="128.74261"
+         y="118.90294">$W$</tspan></text>
+    <rect
+       style="fill:none;stroke:#000000;stroke-width:0.365819;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
+       id="rect9"
+       width="21.701628"
+       height="12.530684"
+       x="73.006386"
+       y="137.49001" />
+  </g>
+</svg>