diff --git a/Mathematics/3rd/Differential_equations/Differential_equations.tex b/Mathematics/3rd/Differential_equations/Differential_equations.tex
index 86046e5..c1a101e 100644
--- a/Mathematics/3rd/Differential_equations/Differential_equations.tex
+++ b/Mathematics/3rd/Differential_equations/Differential_equations.tex
@@ -746,7 +746,7 @@
       \item If $\alpha(\vf{\gamma})\subseteq\vf{\gamma}\implies\alpha(\vf{\gamma})=\vf{\gamma}$, then $\vf{\gamma}$ is either a critical point or a period orbit.
     \end{itemize}
   \end{proposition}
-  \begin{definition}
+  \begin{definition}\label{DE:stability}
     Let $(\RR,\RR^n,\vf{\Psi})$ be a dynamical system and $K\subset \RR^n$ be a compact set. We say that $K$ is \emph{positively stable} if for all neighbourhood $U$ of $K$, there exists a neighbourhood $V$ of $K$ with $V\subseteq U$ and such that $\forall \vf{x}\in V$, ${\vf{\gamma}}^+(\vf{x})\subset U$. Analogously, we say that $K$ is \emph{negatively stable} if for all neighbourhood $U$ of $K$, there exists a neighbourhood $V$ of $K$ with $V\subseteq U$ and such that $\forall \vf{x}\in V$, ${\vf{\gamma}}^-(\vf{x})\subset U$.
   \end{definition}
   \begin{definition}
diff --git a/Mathematics/5th/Introduction_to_control_theory/Images/unstable_attractor.ipynb b/Mathematics/5th/Introduction_to_control_theory/Images/unstable_attractor.ipynb
new file mode 100644
index 0000000..4d8802f
--- /dev/null
+++ b/Mathematics/5th/Introduction_to_control_theory/Images/unstable_attractor.ipynb
@@ -0,0 +1,99 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import matplotlib.pyplot as plt\n",
+    "import numpy as np"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 20,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "# use latex for font rendering\n",
+    "plt.rc('text', usetex=True)\n",
+    "\n",
+    "# scale ticks and labels\n",
+    "plt.rc('xtick', labelsize=16)\n",
+    "plt.rc('ytick', labelsize=16)\n",
+    "\n",
+    "L=3\n",
+    "numpoints = 20\n",
+    "\n",
+    "X, Y = np.meshgrid(np.arange(-L,L, 2*L/numpoints), np.arange(-1,L, 2*L/numpoints))\n",
+    "U = X ** 2*(Y-X) +Y**5\n",
+    "V = Y**2*(Y-2*X)\n",
+    "\n",
+    "# normalize arrows\n",
+    "N = np.sqrt(U**2 + V**2)\n",
+    "U = U/N\n",
+    "V = V/N\n",
+    "\n",
+    "fig, ax = plt.subplots()\n",
+    "q = ax.quiver(X, Y, U, V)\n",
+    "ax.quiverkey(q, X=0.3, Y=1.1, U=10,\n",
+    "             label='Quiver key, length = 10', labelpos='E')\n",
+    "\n",
+    "# plot a point at the origin\n",
+    "ax.plot(0,0, 'ro')\n",
+    "\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# save the figure\n",
+    "fig.savefig('unstable_attractor.pdf', bbox_inches='tight')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.11.6"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/Mathematics/5th/Introduction_to_control_theory/Images/unstable_attractor.pdf b/Mathematics/5th/Introduction_to_control_theory/Images/unstable_attractor.pdf
new file mode 100644
index 0000000..6e49bbd
Binary files /dev/null and b/Mathematics/5th/Introduction_to_control_theory/Images/unstable_attractor.pdf differ
diff --git a/Mathematics/5th/Introduction_to_control_theory/Introduction_to_control_theory.tex b/Mathematics/5th/Introduction_to_control_theory/Introduction_to_control_theory.tex
new file mode 100644
index 0000000..c200c11
--- /dev/null
+++ b/Mathematics/5th/Introduction_to_control_theory/Introduction_to_control_theory.tex
@@ -0,0 +1,113 @@
+\documentclass[../../../main_math.tex]{subfiles}
+
+\begin{document}
+\changecolor{ICT}
+\begin{multicols}{2}[\section{Introduction to control theory}]
+  \subsection{Control theory in ODEs}
+  \subsubsection{Stability}
+  \begin{definition}
+    A function $\alpha: \RR_{\geq 0} \to \RR_{\geq 0}$ is said to be of \emph{class $\mathcal{K}$} if it is continuous, strictly increasing and $\alpha(0) = 0$. If, moreover, $\displaystyle \lim_{s \to \infty} \alpha(s) = \infty$, then $\alpha$ is said to be of \emph{class $\mathcal{K}^\infty$}.
+  \end{definition}
+  \begin{definition}
+    A function $\beta: \RR_{\geq 0} \times \RR_{\geq 0} \to \RR_{\geq 0}$ is said to be of \emph{class $\mathcal{KL}$} if, for each fixed $t \geq 0$, the function $\beta(\cdot, t)$ is of class $\mathcal{K}$ and, for each fixed $s \geq 0$, the function $\beta(s, \cdot)$ is decreasing and $\displaystyle \lim_{t \to \infty} \beta(s, t) = 0$.
+  \end{definition}
+  \begin{remark}
+    An example of a function class $\mathcal{K}$ not in $\mathcal{K}^\infty$ is for example $\alpha(s)=\arctan(s)$. Examples of functions of class $\mathcal{KL}$ are for instance $\beta(s, t) = s\exp{-t}$ or $\beta(s, t) = \arctan(s/(t+1))$.
+  \end{remark}
+  \begin{definition}
+    Let $E\subseteq \RR^n$ be a neighbourhood of the origin and $V: E \to \RR_{\geq 0}$ be a function. We say that $V$ is \emph{positive definite} on $E$ if $\{V=0\} = \{0\}$. We say that $V$ is \emph{negative definite} on $E$ if $-V$ is positive definite on $E$.
+  \end{definition}
+  \begin{lemma}
+    Let $E\subseteq \RR^n$ be a neighbourhood of the origin and $V: E \to \RR_{\geq 0}$ be positive definite on $E$. Then, for any compact set $K \subseteq E$ with $0\in \Int K$, there exists $\alpha \in \mathcal{K}$ such that $\alpha(\norm{\vf{x}}) \leq V(\vf{x})$ for all $\vf{x} \in K$.
+  \end{lemma}
+  \begin{remark}
+    If $V$ is continuous, then it is uniformly continuous on compact sets, and so we have:
+    $$
+      \abs{V(\vf{x}) - V(\vf{y})} \leq \omega(\norm{\vf{x}-\vf{y}})
+    $$
+    where $\omega$ is a modulus of continuity of $V$. Then, we can find $\alpha_1 \in \mathcal{K}$ such that $\alpha_1\geq \omega$ and so we have an upper bound for $V(x)\leq \alpha_1(\norm{\vf{x}})$.
+  \end{remark}
+  \begin{definition}
+    Let $E\subseteq \RR^n$ be a neighbourhood of the origin. We defined the \emph{penalized norm} on $E$ as the function:
+    $$
+      \function{\omega_E}{E}{\RR_{\geq 0}}{\vf{x}}{\norm{\vf{x}}\left(1+\frac{1}{d(\vf{x}, \Fr{E})}\right)}
+    $$
+  \end{definition}
+  From now on, we will consider that the system
+  \begin{equation}\label{ICT:ode}
+    \begin{cases}
+      \dot{\vf{x}} = \vf{f}(\vf{x}) \\
+      \vf{x}(0) = \vf{x}_0
+    \end{cases}
+  \end{equation}
+  has an equilibrium point at the origin. We will denote by $\vf{X}(\vf{x}_0, t)$ a solution of the system with initial condition $\vf{X}(\vf{x}_0, 0) = \vf{x}_0\in \mathcal{O}\subseteq \RR^n$.
+  \begin{definition}
+    The equilibrium $\vf{X}(0, t)=0$ of \mcref{ICT:ode} is said to be:
+    \begin{itemize}
+      \item \emph{stable} if $\exists\mu>0$ and $\alpha\in\mathcal{K}$ such that $\forall\norm{\vf{x}_0}<\mu$ any solution $\vf{X}(\vf{x}_0, \cdot)$ exists for all $t\geq 0$ and satisfies:
+            $$
+              \norm{\vf{X}(\vf{x}_0, t)}\leq \alpha(\norm{\vf{x}_0})\quad\forall t\geq 0
+            $$
+      \item \emph{attractive} if $\exists\mu>0$ such that $\forall\norm{\vf{x}_0}<\mu$ any solution $\vf{X}(\vf{x}_0, \cdot)$ exists for all $t\geq 0$ and satisfies:
+            $$
+              \lim_{t\to\infty}\norm{\vf{X}(\vf{x}_0, t)}=0
+            $$
+      \item \emph{asymptotically stable} if $\exists \mu>0$ and $\beta\in \mathcal{KL}$ such that $\forall\norm{\vf{x}_0}<\mu$ any solution $\vf{X}(\vf{x}_0, \cdot)$ exists for all $t\geq 0$ and satisfies:
+            $$
+              \norm{\vf{X}(\vf{x}_0, t)}\leq \beta(\norm{\vf{x}_0}, t)\quad\forall t\geq 0
+            $$
+      \item \emph{exponentially stable} if $\exists k,\lambda,\mu>0$ such that $\forall\norm{\vf{x}_0}<\mu$ any solution $\vf{X}(\vf{x}_0, \cdot)$ exists for all $t\geq 0$ and satisfies:
+            $$
+              \norm{\vf{X}(\vf{x}_0, t)}\leq k\norm{\vf{x}_0} \exp{-\lambda t}\quad\forall t\geq 0
+            $$
+    \end{itemize}
+    Moreover, in the last two cases, if $\mu$ can be picked as large as we want, then the equilibrium is said to be \emph{globally stable}.
+  \end{definition}
+  \begin{remark}
+    Note that exponential stability implies asymptotic stability, which implies stability, which implies attractivity. Moreover, it can be seen that asymptotically stability is equivalent to stability and attractivity.
+  \end{remark}
+  \begin{remark}
+    An equivalent definition for stability is the following: $\forall \varepsilon>0$ $\exists \delta>0$ such that if $\norm{\vf{x}_0}<\delta$ then $\norm{\vf{X}(\vf{x}_0, t)}<\varepsilon$ for all $t\geq 0$.
+  \end{remark}
+  \begin{definition}
+    The equilibrium $\vf{X}(0, t)=0$ of \mcref{ICT:ode} is said to be unstable if $\exists \varepsilon>0$ such that $\forall \delta>0$ $\exists \vf{x_0}\in B(\vf{0},\delta)$ and a solution $\vf{X}(\vf{x}_0, \cdot)$ such that $\norm{\vf{X}(\vf{x}_0, t^*)}\geq \varepsilon$ for some $t^*\geq 0$.
+  \end{definition}
+  \begin{remark}
+    A solution may be unstable and attractive at the same time. For example, the system
+    $$
+      \begin{cases}
+        \dot{x} = x^2(y-x) + y^5 \\
+        \dot{y} = y^2(y-2x)
+      \end{cases}
+    $$
+    exhibits the behaviour shown in \mcref{ICT:unstable_attractor}.
+    \begin{figure}[H]
+      \centering
+      \includestandalone[mode=image|tex,width=0.5\linewidth]{Images/unstable_attractor}
+      \caption{Unstable attractor}
+      \label{ICT:unstable_attractor}
+    \end{figure}
+  \end{remark}
+  \begin{definition}
+    We define the \emph{basin of attraction} of the origin as the set $\mathcal{A}$ of all initial conditions $\vf{x}_0$ such that the solution $\vf{X}(\vf{x}_0, \cdot)$ exists for all $t\geq 0$ and satisfies $\displaystyle\lim_{t\to\infty}\vf{X}(\vf{x}_0, t)=0$.
+  \end{definition}
+  \begin{theorem}
+    If the origin is asymptotically stable, then its basin of attraction is an open set included in $\mathcal{O}$. Besides, $\exists \beta_\mathcal{A}\in \mathcal{KL}$ such that $\forall \vf{x}_0\in\mathcal{A}$, any solution $\vf{X}(\vf{x}_0, \cdot)$ exists for all $t\geq 0$ and satisfies $\omega_{\mathcal{A}}(\norm{\vf{X}(\vf{x}_0, t)})\leq \beta_\mathcal{A}(\norm{\vf{x}_0}, t)$ for all $t\geq 0$.
+  \end{theorem}
+  \subsubsection{Sufficient conditions for stability}
+  \begin{theorem}
+    Assume that $\vf{f}\in\mathcal{C}^1$. Then:
+    \begin{enumerate}
+      \item The zero solution is exponentially stable if and only if the zero solution of the system $\dot{\vf{y}}=\vf{Df}(\vf{0}) \vf{y}$ is exponentially stable.
+      \item If $\vf{Df}(\vf{0})$ has an eigenvalue with positive real part, then the origin is unstable.
+    \end{enumerate}
+  \end{theorem}
+  \begin{remark}
+    In linear dynamics exponentially stability is equivalent to global exponentially stability, which in turn is equivalent to global asymptotic stability which is equivalent to asymptotic stability.
+  \end{remark}
+  \begin{corollary}
+    If $\vf{f}\in\mathcal{C}^1$ and $\vf{Df}(\vf{0})$ has all its eigenvalues with negative real part, then the origin is asymptotically stable.
+  \end{corollary}
+  \subsection{Control theory in PDEs}
+\end{multicols}
+\end{document}
\ No newline at end of file
diff --git a/main_math.idx b/main_math.idx
index cb3b813..644f8ef 100644
--- a/main_math.idx
+++ b/main_math.idx
@@ -2662,7 +2662,7 @@
 \indexentry{conditional consistency|hyperpage}{269}
 \indexentry{upwind condition|hyperpage}{269}
 \indexentry{stable|hyperpage}{269}
-\indexentry{Courant-Friedrichs-Lewy condition|hyperpage}{270}
+\indexentry{Courant-Friedrichs-Lewy condition|hyperpage}{269}
 \indexentry{Semidiscrete Fourier transform|hyperpage}{270}
 \indexentry{semidiscrete Fourier transform|hyperpage}{270}
 \indexentry{inverse semidiscrete Fourier transform|hyperpage}{270}
@@ -2679,7 +2679,7 @@
 \indexentry{elliptic|hyperpage}{273}
 \indexentry{hyperbolic|hyperpage}{273}
 \indexentry{parabolic|hyperpage}{273}
-\indexentry{stable|hyperpage}{274}
+\indexentry{stable|hyperpage}{273}
 \indexentry{Forward-time central-space|hyperpage}{274}
 \indexentry{Backward-time central-space|hyperpage}{274}
 \indexentry{Crank-Nicolson scheme|hyperpage}{274}
@@ -2849,7 +2849,7 @@
 \indexentry{Lebesgue differentiation theorem|hyperpage}{299}
 \indexentry{section|hyperpage}{299}
 \indexentry{Tonelli's theorem|hyperpage}{299}
-\indexentry{Fubini's theorem|hyperpage}{300}
+\indexentry{Fubini's theorem|hyperpage}{299}
 \indexentry{change of variables|hyperpage}{300}
 \indexentry{Change of variables|hyperpage}{300}
 \indexentry{distance|hyperpage}{300}
@@ -2861,17 +2861,17 @@
 \indexentry{normed vector space|hyperpage}{300}
 \indexentry{convergent series|hyperpage}{300}
 \indexentry{absolutely convergent|hyperpage}{300}
-\indexentry{Banach space|hyperpage}{301}
-\indexentry{Banach space|hyperpage}{301}
+\indexentry{Banach space|hyperpage}{300}
+\indexentry{Banach space|hyperpage}{300}
 \indexentry{uniform norm|hyperpage}{301}
 \indexentry{total subset|hyperpage}{301}
 \indexentry{separable|hyperpage}{301}
-\indexentry{quotient space|hyperpage}{302}
+\indexentry{quotient space|hyperpage}{301}
 \indexentry{Young's inequality for products|hyperpage}{302}
 \indexentry{Hölder conjugates|hyperpage}{302}
 \indexentry{Hölder's inequality|hyperpage}{302}
-\indexentry{Hölder's inequality|hyperpage}{303}
-\indexentry{Interpolation inequality|hyperpage}{303}
+\indexentry{Hölder's inequality|hyperpage}{302}
+\indexentry{Interpolation inequality|hyperpage}{302}
 \indexentry{Minkowski inequality|hyperpage}{303}
 \indexentry{uniform norm|hyperpage}{303}
 \indexentry{uniform norm|hyperpage}{303}
@@ -2879,8 +2879,8 @@
 \indexentry{subalgebra|hyperpage}{303}
 \indexentry{separating set|hyperpage}{303}
 \indexentry{separate the points|hyperpage}{303}
-\indexentry{vanishes nowhere|hyperpage}{304}
-\indexentry{self-conjugate|hyperpage}{304}
+\indexentry{vanishes nowhere|hyperpage}{303}
+\indexentry{self-conjugate|hyperpage}{303}
 \indexentry{Stone-Weierstra\ss \ theorem|hyperpage}{304}
 \indexentry{pointwise bounded|hyperpage}{304}
 \indexentry{locally bounded|hyperpage}{304}
@@ -2892,7 +2892,7 @@
 \indexentry{Arzelà-Ascoli theorem|hyperpage}{304}
 \indexentry{operator|hyperpage}{305}
 \indexentry{norm|hyperpage}{305}
-\indexentry{sublinear|hyperpage}{306}
+\indexentry{sublinear|hyperpage}{305}
 \indexentry{Marcinkiewicz interpolation theorem|hyperpage}{306}
 \indexentry{topological homeomorphism|hyperpage}{306}
 \indexentry{isomorphic|hyperpage}{306}
@@ -2909,7 +2909,7 @@
 \indexentry{Volterra operator with kernel $K$|hyperpage}{307}
 \indexentry{Hilbert-Schmidt operator with kernel $K$|hyperpage}{307}
 \indexentry{finite-rank operator|hyperpage}{307}
-\indexentry{Neumann series|hyperpage}{308}
+\indexentry{Neumann series|hyperpage}{307}
 \indexentry{convex functional|hyperpage}{308}
 \indexentry{Hahn-Banach theorem|hyperpage}{308}
 \indexentry{extension|hyperpage}{308}
@@ -2927,7 +2927,7 @@
 \indexentry{Baire's theorem|hyperpage}{309}
 \indexentry{Open mapping theorem|hyperpage}{309}
 \indexentry{Closed graph theorem|hyperpage}{309}
-\indexentry{Banach-Steinhaus theorem|hyperpage}{310}
+\indexentry{Banach-Steinhaus theorem|hyperpage}{309}
 \indexentry{semilinear|hyperpage}{310}
 \indexentry{inner product|hyperpage}{310}
 \indexentry{pre-Hilbert space|hyperpage}{310}
@@ -2937,19 +2937,19 @@
 \indexentry{orthogonal|hyperpage}{310}
 \indexentry{orthogonal complement|hyperpage}{310}
 \indexentry{Pythagorean theorem|hyperpage}{310}
-\indexentry{Parallelogram law|hyperpage}{311}
-\indexentry{Hilbert space|hyperpage}{311}
-\indexentry{Hilbert space|hyperpage}{311}
+\indexentry{Parallelogram law|hyperpage}{310}
+\indexentry{Hilbert space|hyperpage}{310}
+\indexentry{Hilbert space|hyperpage}{310}
 \indexentry{minimizer|hyperpage}{311}
 \indexentry{Projection theorem|hyperpage}{311}
 \indexentry{orthogonal projection on $F$|hyperpage}{311}
 \indexentry{Riesz representation theorem|hyperpage}{312}
 \indexentry{adjoint operator|hyperpage}{312}
 \indexentry{self-adjoint|hyperpage}{312}
-\indexentry{orthogonal system|hyperpage}{313}
-\indexentry{orthonormal system|hyperpage}{313}
-\indexentry{complete|hyperpage}{313}
-\indexentry{Hilbert basis|hyperpage}{313}
+\indexentry{orthogonal system|hyperpage}{312}
+\indexentry{orthonormal system|hyperpage}{312}
+\indexentry{complete|hyperpage}{312}
+\indexentry{Hilbert basis|hyperpage}{312}
 \indexentry{Fourier coefficients|hyperpage}{313}
 \indexentry{Fourier series|hyperpage}{313}
 \indexentry{Gram-Schmidt process|hyperpage}{313}
@@ -2959,7 +2959,7 @@
 \indexentry{Riesz-Fischer theorem|hyperpage}{313}
 \indexentry{Parseval identity|hyperpage}{313}
 \indexentry{Spectral theorem|hyperpage}{313}
-\indexentry{Hilbert-Schmidt spectral representation theorem|hyperpage}{314}
+\indexentry{Hilbert-Schmidt spectral representation theorem|hyperpage}{313}
 \indexentry{Fredholm alternative|hyperpage}{314}
 \indexentry{Law of total probability|hyperpage}{315}
 \indexentry{Substitution principle|hyperpage}{315}
@@ -3064,34 +3064,36 @@
 \indexentry{expansion map|hyperpage}{335}
 \indexentry{hyperbolicity|hyperpage}{336}
 \indexentry{mixing|hyperpage}{336}
-\indexentry{$\mathcal  {C}^0$-close|hyperpage}{336}
-\indexentry{$\mathcal  {C}^1$-close|hyperpage}{336}
+\indexentry{$\mathcal  {C}^0$-$\varepsilon $-close|hyperpage}{336}
+\indexentry{$\mathcal  {C}^1$-$\varepsilon $-close|hyperpage}{336}
 \indexentry{Structal stability|hyperpage}{336}
 \indexentry{conjugacy equation|hyperpage}{336}
-\indexentry{sensitive dependence on initial conditions|hyperpage}{336}
-\indexentry{Lyapunov exponent|hyperpage}{336}
+\indexentry{sensitive dependence on initial conditions|hyperpage}{337}
+\indexentry{Lyapunov exponent|hyperpage}{337}
 \indexentry{chaotic|hyperpage}{337}
 \indexentry{Hamiltonian vector field|hyperpage}{337}
 \indexentry{circle|hyperpage}{337}
 \indexentry{Existence of a lift|hyperpage}{337}
 \indexentry{lift|hyperpage}{337}
 \indexentry{preserves orientation|hyperpage}{337}
-\indexentry{Arnold family|hyperpage}{337}
+\indexentry{Arnold family|hyperpage}{338}
 \indexentry{subadditive|hyperpage}{338}
 \indexentry{superadditive|hyperpage}{338}
 \indexentry{Existence of the rotation number|hyperpage}{338}
 \indexentry{rotation number|hyperpage}{338}
-\indexentry{rotation number|hyperpage}{338}
-\indexentry{semi-conjugate|hyperpage}{338}
-\indexentry{conjugate|hyperpage}{338}
+\indexentry{rotation number|hyperpage}{339}
+\indexentry{semi-conjugate|hyperpage}{339}
+\indexentry{conjugate|hyperpage}{339}
 \indexentry{measure on $\mathcal  {C}(\ensuremath  {\mathbb  {T}}^1)$|hyperpage}{339}
 \indexentry{probability measure|hyperpage}{339}
 \indexentry{push-forward measure|hyperpage}{339}
 \indexentry{invariant|hyperpage}{339}
 \indexentry{$F$-invariant|hyperpage}{339}
-\indexentry{orbit|hyperpage}{339}
-\indexentry{positive orbit|hyperpage}{339}
-\indexentry{negative orbit|hyperpage}{339}
+\indexentry{orbit|hyperpage}{340}
+\indexentry{positive orbit|hyperpage}{340}
+\indexentry{negative orbit|hyperpage}{340}
+\indexentry{omega limit|hyperpage}{340}
+\indexentry{alpha limit|hyperpage}{340}
 \indexentry{positively invariant|hyperpage}{340}
 \indexentry{negatively invariant|hyperpage}{340}
 \indexentry{invariant|hyperpage}{340}
@@ -3100,105 +3102,82 @@
 \indexentry{wandering point|hyperpage}{340}
 \indexentry{wandering domain|hyperpage}{340}
 \indexentry{non-wandering|hyperpage}{340}
-\indexentry{minimal|hyperpage}{340}
-\indexentry{minimal|hyperpage}{340}
-\indexentry{measure of $U$|hyperpage}{340}
-\indexentry{measure of $A$|hyperpage}{340}
-\indexentry{support of $\mu $|hyperpage}{340}
-\indexentry{Cantor set|hyperpage}{341}
-\indexentry{uniquely ergodic|hyperpage}{341}
-\indexentry{bounded variation|hyperpage}{342}
-\indexentry{Denjoy-Koksma inequality|hyperpage}{342}
-\indexentry{Denjoy theorem|hyperpage}{343}
-\indexentry{$\sigma $-algebra|hyperpage}{344}
-\indexentry{$\sigma $-algebra|hyperpage}{344}
-\indexentry{measurable space|hyperpage}{344}
-\indexentry{$\sigma $-algebra generated by $\mathcal  {F}$|hyperpage}{344}
-\indexentry{measurable|hyperpage}{344}
-\indexentry{Measure|hyperpage}{344}
-\indexentry{measure|hyperpage}{344}
-\indexentry{measure space|hyperpage}{344}
-\indexentry{integral of $f$ with respect to $\mu $|hyperpage}{344}
-\indexentry{integral of $f$ with respect to $\mu $|hyperpage}{344}
-\indexentry{Monotone convergence theorem|hyperpage}{344}
-\indexentry{Fatou's lemma|hyperpage}{344}
-\indexentry{Dominated convergence theorem|hyperpage}{344}
-\indexentry{Product measure|hyperpage}{344}
-\indexentry{product measure|hyperpage}{344}
-\indexentry{$\sigma $-finite|hyperpage}{344}
-\indexentry{Fubini|hyperpage}{344}
-\indexentry{density|hyperpage}{345}
-\indexentry{absolutely continuous|hyperpage}{345}
-\indexentry{Radon-Nikodym|hyperpage}{345}
-\indexentry{probability space|hyperpage}{345}
-\indexentry{events|hyperpage}{345}
-\indexentry{Random variable|hyperpage}{345}
-\indexentry{$E$-valued random variable|hyperpage}{345}
-\indexentry{Expectation|hyperpage}{345}
-\indexentry{expectation of $X$|hyperpage}{345}
-\indexentry{law of $X$|hyperpage}{345}
-\indexentry{$\sigma $-algebra generated by $X$|hyperpage}{345}
-\indexentry{Jensen's inequality|hyperpage}{345}
-\indexentry{conditional expectation of $X$ given $\mathcal  {G}$|hyperpage}{345}
-\indexentry{Tower property|hyperpage}{346}
-\indexentry{conditional expectation of $X$ given $Y$|hyperpage}{346}
-\indexentry{probability kernel|hyperpage}{346}
-\indexentry{conditional law of $X$ given $Y$|hyperpage}{346}
-\indexentry{filtration|hyperpage}{346}
-\indexentry{filtered probability space|hyperpage}{346}
-\indexentry{adapted|hyperpage}{346}
-\indexentry{martingale|hyperpage}{346}
-\indexentry{submartingale|hyperpage}{346}
-\indexentry{supermartingale|hyperpage}{346}
-\indexentry{stopping time|hyperpage}{346}
-\indexentry{stopped process|hyperpage}{346}
-\indexentry{uniformly integrable|hyperpage}{346}
-\indexentry{converges weakly|hyperpage}{347}
-\indexentry{converges strongly|hyperpage}{347}
-\indexentry{converges weakly-*|hyperpage}{347}
-\indexentry{Banach-Alaoglu theorem|hyperpage}{347}
-\indexentry{strongly lower-semicontinuous|hyperpage}{347}
-\indexentry{weakly lower-semicontinuity|hyperpage}{347}
-\indexentry{weak-* lower-semicontinuity|hyperpage}{347}
-\indexentry{support plane|hyperpage}{347}
-\indexentry{Sobolev spaces|hyperpage}{348}
-\indexentry{Sobolev spaces|hyperpage}{348}
-\indexentry{Poincaré's inequality|hyperpage}{348}
-\indexentry{Poincaré-Wirtinger's inequality|hyperpage}{348}
-\indexentry{embedded|hyperpage}{349}
-\indexentry{compactly embedded|hyperpage}{349}
-\indexentry{Gagliardo, Nirengerg and Sobolev's inequality|hyperpage}{349}
-\indexentry{Hölder continuity|hyperpage}{349}
-\indexentry{$\mathcal  {C}^{k,\theta }$-Hölder continuous|hyperpage}{349}
-\indexentry{Morrey's embedding|hyperpage}{349}
-\indexentry{extension|hyperpage}{349}
-\indexentry{extension operator|hyperpage}{349}
-\indexentry{first order reflection|hyperpage}{350}
-\indexentry{Reillich-Kondrachov's compactness theorem|hyperpage}{350}
-\indexentry{trace operator|hyperpage}{350}
-\indexentry{Gradient descent algorithm|hyperpage}{351}
-\indexentry{gradient descent algorithm|hyperpage}{351}
-\indexentry{Armijo-type rule|hyperpage}{351}
-\indexentry{Frank-Wolfe-type method|hyperpage}{351}
-\indexentry{$L$-co-coercive|hyperpage}{351}
-\indexentry{firmly non-expansive|hyperpage}{351}
-\indexentry{Baillon-Haddad|hyperpage}{351}
-\indexentry{strongly convex|hyperpage}{351}
-\indexentry{$\gamma $-convex|hyperpage}{351}
-\indexentry{Newton method|hyperpage}{352}
-\indexentry{Newton method|hyperpage}{352}
-\indexentry{multistep method|hyperpage}{352}
-\indexentry{Heavy ball method|hyperpage}{352}
-\indexentry{Conjugate gradient|hyperpage}{352}
-\indexentry{conjugate gradient method|hyperpage}{352}
-\indexentry{Nesterov's accelerated gradient method|hyperpage}{352}
-\indexentry{Nesterov's method|hyperpage}{352}
-\indexentry{subgradient descent method|hyperpage}{352}
-\indexentry{implicit descent|hyperpage}{352}
-\indexentry{nonexpansive|hyperpage}{352}
-\indexentry{avergaed|hyperpage}{352}
-\indexentry{Opial's lemma|hyperpage}{352}
-\indexentry{Krasnoselskii-Mann's convergence theorem|hyperpage}{353}
+\indexentry{minimal|hyperpage}{341}
+\indexentry{minimal|hyperpage}{341}
+\indexentry{measure of $U$|hyperpage}{341}
+\indexentry{measure of $A$|hyperpage}{341}
+\indexentry{support of $\mu $|hyperpage}{341}
+\indexentry{Cantor set|hyperpage}{342}
+\indexentry{uniquely ergodic|hyperpage}{342}
+\indexentry{bounded variation|hyperpage}{343}
+\indexentry{Denjoy-Koksma inequality|hyperpage}{344}
+\indexentry{Denjoy theorem|hyperpage}{344}
+\indexentry{$\sigma $-algebra|hyperpage}{346}
+\indexentry{$\sigma $-algebra|hyperpage}{346}
+\indexentry{measurable space|hyperpage}{346}
+\indexentry{$\sigma $-algebra generated by $\mathcal  {F}$|hyperpage}{346}
+\indexentry{measurable|hyperpage}{346}
+\indexentry{Measure|hyperpage}{346}
+\indexentry{measure|hyperpage}{346}
+\indexentry{measure space|hyperpage}{346}
+\indexentry{integral of $f$ with respect to $\mu $|hyperpage}{346}
+\indexentry{integral of $f$ with respect to $\mu $|hyperpage}{346}
+\indexentry{Monotone convergence theorem|hyperpage}{346}
+\indexentry{Fatou's lemma|hyperpage}{346}
+\indexentry{Dominated convergence theorem|hyperpage}{346}
+\indexentry{Product measure|hyperpage}{346}
+\indexentry{product measure|hyperpage}{346}
+\indexentry{$\sigma $-finite|hyperpage}{346}
+\indexentry{Fubini|hyperpage}{346}
+\indexentry{density|hyperpage}{347}
+\indexentry{absolutely continuous|hyperpage}{347}
+\indexentry{Radon-Nikodym|hyperpage}{347}
+\indexentry{probability space|hyperpage}{347}
+\indexentry{events|hyperpage}{347}
+\indexentry{Random variable|hyperpage}{347}
+\indexentry{$E$-valued random variable|hyperpage}{347}
+\indexentry{Expectation|hyperpage}{347}
+\indexentry{expectation of $X$|hyperpage}{347}
+\indexentry{law of $X$|hyperpage}{347}
+\indexentry{$\sigma $-algebra generated by $X$|hyperpage}{347}
+\indexentry{Jensen's inequality|hyperpage}{347}
+\indexentry{conditional expectation of $X$ given $\mathcal  {G}$|hyperpage}{347}
+\indexentry{Tower property|hyperpage}{348}
+\indexentry{conditional expectation of $X$ given $Y$|hyperpage}{348}
+\indexentry{probability kernel|hyperpage}{348}
+\indexentry{conditional law of $X$ given $Y$|hyperpage}{348}
+\indexentry{filtration|hyperpage}{348}
+\indexentry{filtered probability space|hyperpage}{348}
+\indexentry{adapted|hyperpage}{348}
+\indexentry{martingale|hyperpage}{348}
+\indexentry{submartingale|hyperpage}{348}
+\indexentry{supermartingale|hyperpage}{348}
+\indexentry{stopping time|hyperpage}{348}
+\indexentry{stopped process|hyperpage}{348}
+\indexentry{uniformly integrable|hyperpage}{348}
+\indexentry{converges weakly|hyperpage}{349}
+\indexentry{converges strongly|hyperpage}{349}
+\indexentry{converges weakly-*|hyperpage}{349}
+\indexentry{Banach-Alaoglu theorem|hyperpage}{349}
+\indexentry{strongly lower-semicontinuous|hyperpage}{349}
+\indexentry{weakly lower-semicontinuity|hyperpage}{349}
+\indexentry{weak-* lower-semicontinuity|hyperpage}{349}
+\indexentry{support plane|hyperpage}{349}
+\indexentry{Sobolev spaces|hyperpage}{350}
+\indexentry{Sobolev spaces|hyperpage}{350}
+\indexentry{Poincaré's inequality|hyperpage}{350}
+\indexentry{Poincaré-Wirtinger's inequality|hyperpage}{350}
+\indexentry{embedded|hyperpage}{351}
+\indexentry{compactly embedded|hyperpage}{351}
+\indexentry{Gagliardo, Nirengerg and Sobolev's inequality|hyperpage}{351}
+\indexentry{Hölder continuity|hyperpage}{351}
+\indexentry{$\mathcal  {C}^{k,\theta }$-Hölder continuous|hyperpage}{351}
+\indexentry{Morrey's embedding|hyperpage}{351}
+\indexentry{extension|hyperpage}{351}
+\indexentry{extension operator|hyperpage}{351}
+\indexentry{first order reflection|hyperpage}{352}
+\indexentry{Reillich-Kondrachov's compactness theorem|hyperpage}{352}
+\indexentry{trace operator|hyperpage}{352}
 \indexentry{linear second-order PDE|hyperpage}{354}
 \indexentry{non-divergence form|hyperpage}{354}
 \indexentry{divergence form|hyperpage}{354}
@@ -3219,147 +3198,169 @@
 \indexentry{Abstract Fredholm alternative|hyperpage}{356}
 \indexentry{formal adjoint|hyperpage}{356}
 \indexentry{homogeneous adjoint problem|hyperpage}{356}
-\indexentry{resolvent set|hyperpage}{356}
-\indexentry{spectrum|hyperpage}{356}
+\indexentry{resolvent set|hyperpage}{357}
+\indexentry{spectrum|hyperpage}{357}
+\indexentry{precompact|hyperpage}{357}
 \indexentry{Inner regularity|hyperpage}{357}
 \indexentry{Regularity up to the boundary|hyperpage}{357}
-\indexentry{Weak maximum principle|hyperpage}{357}
 \indexentry{Weak maximum principle|hyperpage}{358}
 \indexentry{Weak maximum principle|hyperpage}{358}
-\indexentry{Hopf's lemma|hyperpage}{358}
-\indexentry{interior ball condition|hyperpage}{358}
-\indexentry{Strong maximum principle|hyperpage}{358}
-\indexentry{Continuation method|hyperpage}{359}
-\indexentry{Brower fixed point|hyperpage}{359}
-\indexentry{Schauder fixed point|hyperpage}{359}
-\indexentry{Schaefer fixed point|hyperpage}{359}
-\indexentry{Montecarlo estimator|hyperpage}{360}
-\indexentry{seed|hyperpage}{360}
-\indexentry{Mersenne Twister algorithm|hyperpage}{360}
-\indexentry{Acceptance-rejection method|hyperpage}{360}
-\indexentry{Box-Muller method|hyperpage}{361}
-\indexentry{Polar method|hyperpage}{361}
-\indexentry{antithetic method|hyperpage}{361}
-\indexentry{control variate|hyperpage}{361}
-\indexentry{multiple control variate estimator|hyperpage}{362}
-\indexentry{equivalent|hyperpage}{362}
-\indexentry{importance sampling estimator|hyperpage}{362}
-\indexentry{Euler method|hyperpage}{363}
-\indexentry{continuous Euler scheme|hyperpage}{363}
-\indexentry{Strong error of the Euler scheme|hyperpage}{363}
-\indexentry{Weak error of the Euler scheme|hyperpage}{363}
-\indexentry{Romberg Extrapolation|hyperpage}{363}
-\indexentry{Romberg Extrapolation|hyperpage}{363}
-\indexentry{finite difference estimator|hyperpage}{364}
-\indexentry{Black-Scholes model|hyperpage}{364}
-\indexentry{tangent process|hyperpage}{364}
-\indexentry{price of an American option|hyperpage}{365}
-\indexentry{risk-free interest rate|hyperpage}{365}
-\indexentry{discretization method|hyperpage}{365}
-\indexentry{naive approach|hyperpage}{365}
-\indexentry{Tsitsiklis-Van Roy method|hyperpage}{365}
-\indexentry{Tsitsiklis-Van Roy method|hyperpage}{365}
-\indexentry{Longstaff-Schwartz method|hyperpage}{366}
-\indexentry{Longstaff-Schwartz method|hyperpage}{366}
-\indexentry{Rogers's lemma|hyperpage}{366}
-\indexentry{Dirichlet boundary conditions|hyperpage}{367}
-\indexentry{Neumann boundary conditions|hyperpage}{367}
-\indexentry{Robin boundary conditions|hyperpage}{367}
-\indexentry{conforming Galerkin method|hyperpage}{367}
-\indexentry{Céa's lemma|hyperpage}{367}
-\indexentry{finite element|hyperpage}{367}
-\indexentry{basis functions|hyperpage}{368}
-\indexentry{local interpolant|hyperpage}{368}
-\indexentry{subdivision|hyperpage}{368}
-\indexentry{global interpolant|hyperpage}{368}
-\indexentry{triangulation|hyperpage}{368}
-\indexentry{affinely equivalent|hyperpage}{368}
-\indexentry{Bramble-Hilbert lemma|hyperpage}{368}
-\indexentry{diameter|hyperpage}{368}
-\indexentry{insphere diameter|hyperpage}{368}
-\indexentry{condition number|hyperpage}{368}
-\indexentry{Local interpolation error|hyperpage}{369}
-\indexentry{regular|hyperpage}{369}
-\indexentry{Global interpolation error|hyperpage}{369}
-\indexentry{spectral methods|hyperpage}{369}
-\indexentry{trial functions|hyperpage}{369}
-\indexentry{globally smooth|hyperpage}{369}
-\indexentry{Galerkin methods|hyperpage}{369}
-\indexentry{Collocation methods|hyperpage}{369}
-\indexentry{collocation points|hyperpage}{369}
-\indexentry{$\tau $ methods|hyperpage}{369}
-\indexentry{interpolant|hyperpage}{369}
-\indexentry{interpolant|hyperpage}{370}
-\indexentry{jointly Gaussian|hyperpage}{371}
-\indexentry{Brownian motion|hyperpage}{371}
-\indexentry{Strong law of large numbers for Brownian motion|hyperpage}{371}
-\indexentry{Markov property for Brownian motion|hyperpage}{371}
-\indexentry{natural filtration|hyperpage}{371}
-\indexentry{Martingale|hyperpage}{371}
-\indexentry{martingale|hyperpage}{371}
-\indexentry{adapted|hyperpage}{371}
-\indexentry{sub-martingale|hyperpage}{371}
-\indexentry{super-martingale|hyperpage}{371}
-\indexentry{hitting time|hyperpage}{372}
-\indexentry{Doob's optional sampling theorem|hyperpage}{372}
-\indexentry{stopped process|hyperpage}{372}
-\indexentry{Orthogonality of martingales|hyperpage}{372}
-\indexentry{Doob's maximal inequality|hyperpage}{372}
-\indexentry{absoulte variation|hyperpage}{372}
-\indexentry{finite variation|hyperpage}{372}
-\indexentry{Quadratic variation|hyperpage}{372}
-\indexentry{mesh|hyperpage}{372}
-\indexentry{continuous local martingale|hyperpage}{373}
-\indexentry{localizing sequence|hyperpage}{373}
-\indexentry{Doob's optional sampling theorem for local martingales|hyperpage}{373}
-\indexentry{Levy's characterization of Brownian motion|hyperpage}{374}
-\indexentry{isometry|hyperpage}{374}
-\indexentry{partial isometry|hyperpage}{374}
-\indexentry{Wiener integral|hyperpage}{374}
-\indexentry{Wiener isometry|hyperpage}{374}
-\indexentry{Wiener integral|hyperpage}{374}
-\indexentry{Wiener integral|hyperpage}{374}
-\indexentry{Chasles relation|hyperpage}{374}
-\indexentry{progressive|hyperpage}{375}
-\indexentry{Itô integral|hyperpage}{376}
-\indexentry{Itô isometry|hyperpage}{376}
-\indexentry{Itô integral|hyperpage}{376}
-\indexentry{generalized Itô integral|hyperpage}{376}
-\indexentry{Stochastic dominated convergence theorem|hyperpage}{376}
-\indexentry{Itô process|hyperpage}{377}
-\indexentry{martingale term|hyperpage}{377}
-\indexentry{drift term|hyperpage}{377}
-\indexentry{stochastic differential|hyperpage}{377}
-\indexentry{quadratic variation|hyperpage}{377}
-\indexentry{Stochastic integration by parts|hyperpage}{378}
-\indexentry{Itô term|hyperpage}{378}
-\indexentry{Itô's formula|hyperpage}{378}
-\indexentry{Doléans-Dade exponential|hyperpage}{378}
-\indexentry{Novikov's condition|hyperpage}{378}
-\indexentry{Giranov's theorem|hyperpage}{379}
-\indexentry{drift|hyperpage}{379}
-\indexentry{diffusion|hyperpage}{379}
-\indexentry{stochastic differential equation|hyperpage}{379}
-\indexentry{SDE|hyperpage}{379}
-\indexentry{solution of the SDE|hyperpage}{379}
-\indexentry{Gronwall's lemma|hyperpage}{379}
-\indexentry{Existence and uniqueness of solutions of SDEs|hyperpage}{379}
-\indexentry{Langevin equation|hyperpage}{379}
-\indexentry{Geometric Brownian motion|hyperpage}{380}
-\indexentry{Black-Scholes process|hyperpage}{380}
-\indexentry{homogeneous SDE|hyperpage}{380}
-\indexentry{diffusions|hyperpage}{380}
-\indexentry{Invariance under time shift|hyperpage}{380}
-\indexentry{Generator|hyperpage}{380}
-\indexentry{generator|hyperpage}{380}
-\indexentry{Kolmogorov's equation|hyperpage}{380}
-\indexentry{Feynman-Kac's formula|hyperpage}{381}
-\indexentry{Itô's formula|hyperpage}{382}
-\indexentry{Flow property|hyperpage}{382}
-\indexentry{Dynamic programming principle|hyperpage}{382}
-\indexentry{Fokker-Planck equation|hyperpage}{382}
-\indexentry{control parameter|hyperpage}{383}
-\indexentry{Finite horizon problem|hyperpage}{383}
-\indexentry{running cost|hyperpage}{383}
-\indexentry{terminal cost|hyperpage}{383}
-\indexentry{Infinte horizon problem|hyperpage}{383}
+\indexentry{Weak minimum principle|hyperpage}{358}
+\indexentry{Schauder estimates|hyperpage}{359}
+\indexentry{Weak maximum principle|hyperpage}{359}
+\indexentry{Weak minimum principle|hyperpage}{360}
+\indexentry{Hopf's lemma|hyperpage}{360}
+\indexentry{interior ball condition|hyperpage}{360}
+\indexentry{Strong maximum principle|hyperpage}{360}
+\indexentry{Strong minimum principle|hyperpage}{360}
+\indexentry{A priori estimate|hyperpage}{360}
+\indexentry{Continuation method|hyperpage}{360}
+\indexentry{Brower fixed point|hyperpage}{361}
+\indexentry{Schauder fixed point|hyperpage}{361}
+\indexentry{convex hull|hyperpage}{361}
+\indexentry{Schaefer fixed point|hyperpage}{361}
+\indexentry{Without constraints|hyperpage}{362}
+\indexentry{With constraints|hyperpage}{362}
+\indexentry{Carathéodory|hyperpage}{363}
+\indexentry{Superposition operator|hyperpage}{363}
+\indexentry{superposition operator|hyperpage}{363}
+\indexentry{Fréchet differentiable|hyperpage}{363}
+\indexentry{Fréchet derivative|hyperpage}{363}
+\indexentry{Gâteaux differentiable|hyperpage}{363}
+\indexentry{Gâteaux derivative|hyperpage}{363}
+\indexentry{Without constraints|hyperpage}{364}
+\indexentry{coercive|hyperpage}{364}
+\indexentry{Bootstrap|hyperpage}{364}
+\indexentry{Lagrange multipliers|hyperpage}{364}
+\indexentry{Lagrange multiplier|hyperpage}{365}
+\indexentry{Lagrange multipliers in several variables|hyperpage}{365}
+\indexentry{Lagrange multipliers|hyperpage}{365}
+\indexentry{Aplication|hyperpage}{365}
+\indexentry{Nehari manifold method|hyperpage}{365}
+\indexentry{Nehari manifold method|hyperpage}{365}
+\indexentry{Palais-Smale condition at level $c$|hyperpage}{366}
+\indexentry{Ambrosetti-Rabinowitz theorem|hyperpage}{366}
+\indexentry{Palais-Smale sequence|hyperpage}{366}
+\indexentry{Mountain pass theorem|hyperpage}{366}
+\indexentry{superquadradicity condition|hyperpage}{366}
+\indexentry{Montecarlo estimator|hyperpage}{368}
+\indexentry{seed|hyperpage}{368}
+\indexentry{Mersenne Twister algorithm|hyperpage}{368}
+\indexentry{Acceptance-rejection method|hyperpage}{368}
+\indexentry{Box-Muller method|hyperpage}{369}
+\indexentry{Polar method|hyperpage}{369}
+\indexentry{antithetic method|hyperpage}{369}
+\indexentry{control variate|hyperpage}{369}
+\indexentry{multiple control variate estimator|hyperpage}{370}
+\indexentry{equivalent|hyperpage}{370}
+\indexentry{importance sampling estimator|hyperpage}{370}
+\indexentry{Euler method|hyperpage}{371}
+\indexentry{continuous Euler scheme|hyperpage}{371}
+\indexentry{Strong error of the Euler scheme|hyperpage}{371}
+\indexentry{Weak error of the Euler scheme|hyperpage}{371}
+\indexentry{Romberg Extrapolation|hyperpage}{371}
+\indexentry{Romberg Extrapolation|hyperpage}{371}
+\indexentry{finite difference estimator|hyperpage}{372}
+\indexentry{Black-Scholes model|hyperpage}{372}
+\indexentry{tangent process|hyperpage}{372}
+\indexentry{price of an American option|hyperpage}{373}
+\indexentry{risk-free interest rate|hyperpage}{373}
+\indexentry{discretization method|hyperpage}{373}
+\indexentry{naive approach|hyperpage}{373}
+\indexentry{Tsitsiklis-Van Roy method|hyperpage}{373}
+\indexentry{Tsitsiklis-Van Roy method|hyperpage}{373}
+\indexentry{Longstaff-Schwartz method|hyperpage}{374}
+\indexentry{Longstaff-Schwartz method|hyperpage}{374}
+\indexentry{Rogers's lemma|hyperpage}{374}
+\indexentry{Dirichlet boundary conditions|hyperpage}{375}
+\indexentry{Neumann boundary conditions|hyperpage}{375}
+\indexentry{Robin boundary conditions|hyperpage}{375}
+\indexentry{conforming Galerkin method|hyperpage}{375}
+\indexentry{Céa's lemma|hyperpage}{375}
+\indexentry{finite element|hyperpage}{375}
+\indexentry{basis functions|hyperpage}{376}
+\indexentry{local interpolant|hyperpage}{376}
+\indexentry{subdivision|hyperpage}{376}
+\indexentry{global interpolant|hyperpage}{376}
+\indexentry{triangulation|hyperpage}{376}
+\indexentry{affinely equivalent|hyperpage}{376}
+\indexentry{Bramble-Hilbert lemma|hyperpage}{376}
+\indexentry{diameter|hyperpage}{376}
+\indexentry{insphere diameter|hyperpage}{376}
+\indexentry{condition number|hyperpage}{376}
+\indexentry{Local interpolation error|hyperpage}{377}
+\indexentry{regular|hyperpage}{377}
+\indexentry{Global interpolation error|hyperpage}{377}
+\indexentry{spectral methods|hyperpage}{377}
+\indexentry{trial functions|hyperpage}{377}
+\indexentry{globally smooth|hyperpage}{377}
+\indexentry{Galerkin methods|hyperpage}{377}
+\indexentry{Collocation methods|hyperpage}{377}
+\indexentry{collocation points|hyperpage}{377}
+\indexentry{$\tau $ methods|hyperpage}{377}
+\indexentry{interpolant|hyperpage}{377}
+\indexentry{interpolant|hyperpage}{378}
+\indexentry{jointly Gaussian|hyperpage}{379}
+\indexentry{Brownian motion|hyperpage}{379}
+\indexentry{Strong law of large numbers for Brownian motion|hyperpage}{379}
+\indexentry{Markov property for Brownian motion|hyperpage}{379}
+\indexentry{natural filtration|hyperpage}{379}
+\indexentry{Martingale|hyperpage}{379}
+\indexentry{martingale|hyperpage}{379}
+\indexentry{adapted|hyperpage}{379}
+\indexentry{sub-martingale|hyperpage}{379}
+\indexentry{super-martingale|hyperpage}{379}
+\indexentry{hitting time|hyperpage}{380}
+\indexentry{Doob's optional sampling theorem|hyperpage}{380}
+\indexentry{stopped process|hyperpage}{380}
+\indexentry{Orthogonality of martingales|hyperpage}{380}
+\indexentry{Doob's maximal inequality|hyperpage}{380}
+\indexentry{absoulte variation|hyperpage}{380}
+\indexentry{finite variation|hyperpage}{380}
+\indexentry{Quadratic variation|hyperpage}{380}
+\indexentry{mesh|hyperpage}{380}
+\indexentry{continuous local martingale|hyperpage}{381}
+\indexentry{localizing sequence|hyperpage}{381}
+\indexentry{Doob's optional sampling theorem for local martingales|hyperpage}{381}
+\indexentry{Levy's characterization of Brownian motion|hyperpage}{382}
+\indexentry{isometry|hyperpage}{382}
+\indexentry{partial isometry|hyperpage}{382}
+\indexentry{Wiener integral|hyperpage}{382}
+\indexentry{Wiener isometry|hyperpage}{382}
+\indexentry{Wiener integral|hyperpage}{382}
+\indexentry{Wiener integral|hyperpage}{382}
+\indexentry{Chasles relation|hyperpage}{382}
+\indexentry{progressive|hyperpage}{383}
+\indexentry{Itô integral|hyperpage}{384}
+\indexentry{Itô isometry|hyperpage}{384}
+\indexentry{Itô integral|hyperpage}{384}
+\indexentry{generalized Itô integral|hyperpage}{384}
+\indexentry{Stochastic dominated convergence theorem|hyperpage}{384}
+\indexentry{Itô process|hyperpage}{385}
+\indexentry{martingale term|hyperpage}{385}
+\indexentry{drift term|hyperpage}{385}
+\indexentry{stochastic differential|hyperpage}{385}
+\indexentry{quadratic variation|hyperpage}{385}
+\indexentry{Stochastic integration by parts|hyperpage}{386}
+\indexentry{Itô term|hyperpage}{386}
+\indexentry{Itô's formula|hyperpage}{386}
+\indexentry{Doléans-Dade exponential|hyperpage}{386}
+\indexentry{Novikov's condition|hyperpage}{386}
+\indexentry{Giranov's theorem|hyperpage}{387}
+\indexentry{drift|hyperpage}{387}
+\indexentry{diffusion|hyperpage}{387}
+\indexentry{stochastic differential equation|hyperpage}{387}
+\indexentry{SDE|hyperpage}{387}
+\indexentry{solution of the SDE|hyperpage}{387}
+\indexentry{Gronwall's lemma|hyperpage}{387}
+\indexentry{Existence and uniqueness of solutions of SDEs|hyperpage}{387}
+\indexentry{Langevin equation|hyperpage}{387}
+\indexentry{Geometric Brownian motion|hyperpage}{388}
+\indexentry{Black-Scholes process|hyperpage}{388}
+\indexentry{homogeneous SDE|hyperpage}{388}
+\indexentry{diffusions|hyperpage}{388}
+\indexentry{Invariance under time shift|hyperpage}{388}
+\indexentry{Generator|hyperpage}{388}
+\indexentry{generator|hyperpage}{388}
+\indexentry{Kolmogorov's equation|hyperpage}{388}
+\indexentry{Feynman-Kac's formula|hyperpage}{389}
diff --git a/main_math.ilg b/main_math.ilg
index 0f87c9c..83d0e68 100644
--- a/main_math.ilg
+++ b/main_math.ilg
@@ -1,6 +1,6 @@
 This is makeindex, version 2.17 [TeX Live 2023] (kpathsea + Thai support).
-Scanning input file main_math.idx.......done (3365 entries accepted, 0 rejected).
-Sorting entries................................done (42220 comparisons).
-Generating output file main_math.ind.......done (2868 lines written, 0 warnings).
+Scanning input file main_math.idx.......done (3366 entries accepted, 0 rejected).
+Sorting entries.................................done (43903 comparisons).
+Generating output file main_math.ind.......done (2866 lines written, 0 warnings).
 Output written in main_math.ind.
 Transcript written in main_math.ilg.
diff --git a/main_math.ind b/main_math.ind
index eeb866e..bf461d8 100644
--- a/main_math.ind
+++ b/main_math.ind
@@ -1,13 +1,12 @@
 \begin{theindex}
 
   \item $(G,\cdot )$-space, \hyperpage{211}
-  \item $E$-valued random variable, \hyperpage{345}
+  \item $E$-valued random variable, \hyperpage{347}
   \item $F$-distribution with degrees of freedom $d_1$ and $d_2$, 
 		\hyperpage{252}
   \item $F$-invariant, \hyperpage{339}
   \item $F$-linearly independent, \hyperpage{170}
   \item $K$-field morphism, \hyperpage{165}
-  \item $L$-co-coercive, \hyperpage{351}
   \item $N$-th partial sum of $Sf$, \hyperpage{83}
   \item $N$-th partial sum of the series, \hyperpage{76}, 
 		\hyperpage{105}
@@ -25,24 +24,23 @@
   \item $\alpha $-limit set, \hyperpage{131}
   \item $\ensuremath  {\mathbb  {C}}$-differentiable, \hyperpage{109}
   \item $\ensuremath  {\mathbb  {R}}$-differentiable, \hyperpage{110}
-  \item $\gamma $-convex, \hyperpage{351}
-  \item $\mathcal  {C}^0$-close, \hyperpage{336}
-  \item $\mathcal  {C}^1$-close, \hyperpage{336}
-  \item $\mathcal  {C}^{k,\theta }$-Hölder continuous, \hyperpage{349}
+  \item $\mathcal  {C}^0$-$\varepsilon $-close, \hyperpage{336}
+  \item $\mathcal  {C}^1$-$\varepsilon $-close, \hyperpage{336}
+  \item $\mathcal  {C}^{k,\theta }$-Hölder continuous, \hyperpage{351}
   \item $\omega $-limit point, \hyperpage{131}
   \item $\omega $-limit set, \hyperpage{131}
   \item $\sigma $-additivity, \hyperpage{173}, \hyperpage{291}
   \item $\sigma $-algebra, \hyperpage{172}, \hyperpage{291}, 
-		\hyperpage{344}
+		\hyperpage{346}
   \item $\sigma $-algebra generated, \hyperpage{172}
-  \item $\sigma $-algebra generated by $X$, \hyperpage{345}
+  \item $\sigma $-algebra generated by $X$, \hyperpage{347}
   \item $\sigma $-algebra generated by $\boldsymbol  {\mathrm  {X}}$, 
 		\hyperpage{321}
-  \item $\sigma $-algebra generated by $\mathcal  {F}$, \hyperpage{344}
+  \item $\sigma $-algebra generated by $\mathcal  {F}$, \hyperpage{346}
   \item $\sigma $-algebra of all Lebesgue measurable sets in $\ensuremath  {\mathbb  {R}}^n$, 
 		\hyperpage{175}
-  \item $\sigma $-finite, \hyperpage{344}
-  \item $\tau $ methods, \hyperpage{369}
+  \item $\sigma $-finite, \hyperpage{346}
+  \item $\tau $ methods, \hyperpage{377}
   \item $d$-dimensional standard Brownian motion, \hyperpage{332}
   \item $i$-th pivot, \hyperpage{14}
   \item $k$-linear map, \hyperpage{155}
@@ -80,6 +78,7 @@
 
   \indexspace
 
+  \item A priori estimate, \hyperpage{360}
   \item A-stable, \hyperpage{261}
   \item a.e., \hyperpage{293}
   \item Abel's summation formula, \hyperpage{77}, \hyperpage{106}
@@ -93,13 +92,13 @@
   \item Absolute geometry, \hyperpage{64}
   \item absolute value, \hyperpage{25}
   \item absolutely continuous, \hyperpage{178}, \hyperpage{180}, 
-		\hyperpage{345}
+		\hyperpage{347}
   \item absolutely convergent, \hyperpage{77}, \hyperpage{106}, 
 		\hyperpage{117}, \hyperpage{300}
   \item absolutely stable, \hyperpage{261}
-  \item absoulte variation, \hyperpage{372}
+  \item absoulte variation, \hyperpage{380}
   \item Abstract Fredholm alternative, \hyperpage{356}
-  \item Acceptance-rejection method, \hyperpage{360}
+  \item Acceptance-rejection method, \hyperpage{368}
   \item acceptation region, \hyperpage{199}
   \item ACCP, \hyperpage{46}
   \item accumulation point, \hyperpage{26}, \hyperpage{54}
@@ -107,7 +106,7 @@
   \item Adams method, \hyperpage{262}
   \item Adams-Bashforth method, \hyperpage{262}
   \item Adams-Moulton method, \hyperpage{262}
-  \item adapted, \hyperpage{346}, \hyperpage{371}
+  \item adapted, \hyperpage{348}, \hyperpage{379}
   \item adherence, \hyperpage{54}
   \item adherent point, \hyperpage{54}, \hyperpage{207}
   \item adjacency matrix, \hyperpage{50}
@@ -122,7 +121,7 @@
   \item affine plane, \hyperpage{66}
   \item affine space, \hyperpage{69}
   \item affine subvariety, \hyperpage{70}
-  \item affinely equivalent, \hyperpage{368}
+  \item affinely equivalent, \hyperpage{376}
   \item affinely independents, \hyperpage{69}
   \item affinity, \hyperpage{70}
   \item AIC, \hyperpage{257}
@@ -139,10 +138,12 @@
   \item algebraically closed field, \hyperpage{21}
   \item almost everywhere, \hyperpage{293}
   \item Almost orthogonality lemma, \hyperpage{306}
+  \item alpha limit, \hyperpage{340}
   \item alternating, \hyperpage{155}
   \item alternating group, \hyperpage{42}
   \item alternating series, \hyperpage{77}
   \item alternative hypothesis, \hyperpage{199}
+  \item Ambrosetti-Rabinowitz theorem, \hyperpage{366}
   \item amplification factor, \hyperpage{270}
   \item amplification polynomial, \hyperpage{273}
   \item Ampère's law, \hyperpage{278}
@@ -155,8 +156,9 @@
   \item angle-preserving, \hyperpage{149}
   \item anisotropic, \hyperpage{74}
   \item annihilator, \hyperpage{19}
-  \item antithetic method, \hyperpage{361}
+  \item antithetic method, \hyperpage{369}
   \item aperiodic, \hyperpage{320}
+  \item Aplication, \hyperpage{365}
   \item approximation of identity, \hyperpage{79}, \hyperpage{241}
   \item approximations of the identity, \hyperpage{235}
   \item arc length, \hyperpage{60}
@@ -167,8 +169,7 @@
   \item Archimedean property, \hyperpage{25}
   \item argument, \hyperpage{104}
   \item Argument principle, \hyperpage{118}
-  \item Armijo-type rule, \hyperpage{351}
-  \item Arnold family, \hyperpage{337}
+  \item Arnold family, \hyperpage{338}
   \item Artin's lemma, \hyperpage{169}
   \item Arzelà-Ascoli theorem, \hyperpage{121}, \hyperpage{125}, 
 		\hyperpage{304}
@@ -192,7 +193,6 @@
   \item autonomous, \hyperpage{122}
   \item average, \hyperpage{289}
   \item average response, \hyperpage{253}
-  \item avergaed, \hyperpage{352}
   \item Axiom of Archimedes, \hyperpage{63}
   \item Axiom of choice, \hyperpage{213}
   \item Axiom of completeness, \hyperpage{63}
@@ -205,14 +205,13 @@
 
   \item backward Euler method, \hyperpage{258}
   \item Backward-time central-space, \hyperpage{268}, \hyperpage{274}
-  \item Baillon-Haddad, \hyperpage{351}
   \item Baire's theorem, \hyperpage{309}
   \item balance equation, \hyperpage{329}
   \item ball, \hyperpage{205}
   \item Banach fixed-point theorem, \hyperpage{125}
-  \item Banach space, \hyperpage{301}
-  \item Banach-Alaoglu theorem, \hyperpage{347}
-  \item Banach-Steinhaus theorem, \hyperpage{310}
+  \item Banach space, \hyperpage{300}
+  \item Banach-Alaoglu theorem, \hyperpage{349}
+  \item Banach-Steinhaus theorem, \hyperpage{309}
   \item bandlimited, \hyperpage{239}
   \item Barrow's law, \hyperpage{298}
   \item barycenter, \hyperpage{69}
@@ -221,7 +220,7 @@
   \item basic feasible solutions, \hyperpage{51}
   \item basin, \hyperpage{131}
   \item basis, \hyperpage{16}, \hyperpage{206}
-  \item basis functions, \hyperpage{368}
+  \item basis functions, \hyperpage{376}
   \item Bautin's theorem, \hyperpage{226}
   \item Bayes estimate, \hyperpage{203}
   \item Bayes' formula, \hyperpage{174}
@@ -254,8 +253,8 @@
   \item bipartite, \hyperpage{50}
   \item birth and death process, \hyperpage{329}
   \item Bisection method, \hyperpage{90}
-  \item Black-Scholes model, \hyperpage{364}
-  \item Black-Scholes process, \hyperpage{380}
+  \item Black-Scholes model, \hyperpage{372}
+  \item Black-Scholes process, \hyperpage{388}
   \item block matrix, \hyperpage{15}
   \item blow-down, \hyperpage{225}
   \item Blow-up in cartesian coordinates, \hyperpage{226}
@@ -269,6 +268,7 @@
   \item Bonferroni's method, \hyperpage{252}
   \item Bonnet's theorem, \hyperpage{152}
   \item Boolean ring, \hyperpage{42}
+  \item Bootstrap, \hyperpage{364}
   \item bootstrap distribution, \hyperpage{202}
   \item Bootstrap-t confidence interval, \hyperpage{202}
   \item bootstrap-t confidence interval, \hyperpage{202}
@@ -284,15 +284,15 @@
   \item bounded from above, \hyperpage{25, 26}
   \item bounded from below, \hyperpage{25, 26}
   \item bounded set, \hyperpage{54}
-  \item bounded variation, \hyperpage{342}
+  \item bounded variation, \hyperpage{343}
   \item box topology, \hyperpage{209}
   \item Box-Cox transformation, \hyperpage{257}
-  \item Box-Muller method, \hyperpage{361}
-  \item Bramble-Hilbert lemma, \hyperpage{368}
+  \item Box-Muller method, \hyperpage{369}
+  \item Bramble-Hilbert lemma, \hyperpage{376}
   \item bridge, \hyperpage{50}
   \item Brouwer's fixed-point theorem, \hyperpage{215}
-  \item Brower fixed point, \hyperpage{359}
-  \item Brownian motion, \hyperpage{330}, \hyperpage{371}
+  \item Brower fixed point, \hyperpage{361}
+  \item Brownian motion, \hyperpage{330}, \hyperpage{379}
   \item Broyden's method, \hyperpage{263}
   \item Broyden-Fletcher-Goldfarb-Shanno method, \hyperpage{264}
   \item BTCS, \hyperpage{268}
@@ -308,9 +308,10 @@
 		\hyperpage{51}
   \item canonical form of a linear programming to minimize, 
 		\hyperpage{51}
-  \item Cantor set, \hyperpage{209}, \hyperpage{341}
+  \item Cantor set, \hyperpage{209}, \hyperpage{342}
   \item Cantor's theorem, \hyperpage{9}
   \item Cantor-Bernstein theorem, \hyperpage{9}
+  \item Carathéodory, \hyperpage{363}
   \item Cardano-Vieta's formulas, \hyperpage{114}
   \item cardinal, \hyperpage{6}
   \item Cartesian equations, \hyperpage{70}
@@ -377,7 +378,7 @@
   \item Characteristic function, \hyperpage{191}
   \item characteristic function, \hyperpage{9}, \hyperpage{191}
   \item characteristic polynomial, \hyperpage{20}, \hyperpage{49}
-  \item Chasles relation, \hyperpage{374}
+  \item Chasles relation, \hyperpage{382}
   \item Chebyshev method, \hyperpage{90}
   \item Chebyshev polynomials, \hyperpage{96}
   \item Chebyshev's inequality, \hyperpage{186}, \hyperpage{297}
@@ -429,13 +430,13 @@
   \item codimension, \hyperpage{223}
   \item coefficient of determination, \hyperpage{252}
   \item coefficients, \hyperpage{11}
-  \item coercive, \hyperpage{354}
+  \item coercive, \hyperpage{354}, \hyperpage{364}
   \item cofactor, \hyperpage{136}
   \item cofactor matrix, \hyperpage{15}
   \item Cofinite topology, \hyperpage{206}
   \item collineation, \hyperpage{66}
-  \item Collocation methods, \hyperpage{369}
-  \item collocation points, \hyperpage{369}
+  \item Collocation methods, \hyperpage{377}
+  \item collocation points, \hyperpage{377}
   \item column rank, \hyperpage{16}
   \item Combinations with repetition, \hyperpage{10}
   \item Combinations without repetition, \hyperpage{10}
@@ -446,7 +447,7 @@
   \item Compact space, \hyperpage{213}
   \item compact subset, \hyperpage{213}
   \item compact support, \hyperpage{79}
-  \item compactly embedded, \hyperpage{349}
+  \item compactly embedded, \hyperpage{351}
   \item compactness, \hyperpage{213}
   \item Comparison test, \hyperpage{76}, \hyperpage{80}, 
 		\hyperpage{183}
@@ -456,7 +457,7 @@
   \item complement, \hyperpage{6}
   \item Complementary property, \hyperpage{52}
   \item complementary subspace, \hyperpage{17}
-  \item complete, \hyperpage{54}, \hyperpage{300}, \hyperpage{313}
+  \item complete, \hyperpage{54}, \hyperpage{300}, \hyperpage{312}
   \item complete graph, \hyperpage{49}
   \item Complete pivoting, \hyperpage{102}
   \item complex conjugate, \hyperpage{24}, \hyperpage{104}
@@ -485,13 +486,13 @@
   \item computational efficiency, \hyperpage{91}
   \item concave, \hyperpage{30}
   \item Condensation test, \hyperpage{76}
-  \item condition number, \hyperpage{99}, \hyperpage{368}
+  \item condition number, \hyperpage{99}, \hyperpage{376}
   \item conditional consistency, \hyperpage{269}
   \item conditional expectation, \hyperpage{186}
   \item conditional expectation of $X$ given $\mathcal  {G}$, 
-		\hyperpage{345}
-  \item conditional expectation of $X$ given $Y$, \hyperpage{346}
-  \item conditional law of $X$ given $Y$, \hyperpage{346}
+		\hyperpage{347}
+  \item conditional expectation of $X$ given $Y$, \hyperpage{348}
+  \item conditional law of $X$ given $Y$, \hyperpage{348}
   \item conditional probability, \hyperpage{174}
   \item conditional probability density function, \hyperpage{182}
   \item conditional probability mass function, \hyperpage{182}
@@ -507,18 +508,16 @@
   \item configuration, \hyperpage{67}
   \item conformal, \hyperpage{119}, \hyperpage{149}
   \item conformal representation, \hyperpage{119}
-  \item conforming Galerkin method, \hyperpage{367}
+  \item conforming Galerkin method, \hyperpage{375}
   \item Congruence axioms, \hyperpage{63}
   \item congruence relation, \hyperpage{63}
   \item conic, \hyperpage{73}
   \item conjugacy, \hyperpage{132}
   \item conjugacy equation, \hyperpage{336}
   \item conjugate, \hyperpage{104}, \hyperpage{132}, \hyperpage{202}, 
-		\hyperpage{338}
+		\hyperpage{339}
   \item conjugate dynamical systems, \hyperpage{131}
-  \item Conjugate gradient, \hyperpage{352}
   \item Conjugate gradient method, \hyperpage{264}
-  \item conjugate gradient method, \hyperpage{352}
   \item conjugate Poisson kernel, \hyperpage{248}
   \item conjugation action, \hyperpage{41}
   \item connected, \hyperpage{50}, \hyperpage{54}, \hyperpage{214}
@@ -540,7 +539,7 @@
   \item Construction of a non-SAS geometry, \hyperpage{66}
   \item contact, \hyperpage{144}
   \item contact of order $\geq n$ at $a$, \hyperpage{31}
-  \item Continuation method, \hyperpage{359}
+  \item Continuation method, \hyperpage{360}
   \item Continuity axioms, \hyperpage{63}
   \item Continuity correction, \hyperpage{192}
   \item continuity correction, \hyperpage{192}
@@ -551,9 +550,9 @@
   \item continuous at $x_0$, \hyperpage{28}
   \item Continuous equation, \hyperpage{277}
   \item continuous equation, \hyperpage{277}
-  \item continuous Euler scheme, \hyperpage{363}
+  \item continuous Euler scheme, \hyperpage{371}
   \item Continuous function, \hyperpage{208}
-  \item continuous local martingale, \hyperpage{373}
+  \item continuous local martingale, \hyperpage{381}
   \item Continuous memorylessness property, \hyperpage{178}
   \item Continuous uniform distribution, \hyperpage{178}
   \item continuous uniform distribution, \hyperpage{178}
@@ -561,8 +560,7 @@
   \item contractible, \hyperpage{139}
   \item contraction, \hyperpage{55}, \hyperpage{90}
   \item contrast matrix, \hyperpage{201}
-  \item control parameter, \hyperpage{383}
-  \item control variate, \hyperpage{361}
+  \item control variate, \hyperpage{369}
   \item converge in mean, \hyperpage{298}
   \item converge in norm $L^p$, \hyperpage{87}
   \item convergent, \hyperpage{26}, \hyperpage{54}, \hyperpage{76}, 
@@ -576,12 +574,13 @@
   \item converges in probability, \hyperpage{187}
   \item converges in the $p$-th mean, \hyperpage{189}
   \item converges pointwise, \hyperpage{77, 78}, \hyperpage{106, 107}
-  \item converges strongly, \hyperpage{347}
+  \item converges strongly, \hyperpage{349}
   \item converges uniformly, \hyperpage{77, 78}, \hyperpage{106, 107}
-  \item converges weakly, \hyperpage{347}
-  \item converges weakly-*, \hyperpage{347}
+  \item converges weakly, \hyperpage{349}
+  \item converges weakly-*, \hyperpage{349}
   \item convex, \hyperpage{30}, \hyperpage{115}
   \item convex functional, \hyperpage{308}
+  \item convex hull, \hyperpage{361}
   \item convolution, \hyperpage{79}, \hyperpage{240}, \hyperpage{244}
   \item Cook's distance, \hyperpage{255}
   \item coordinate chart, \hyperpage{147}, \hyperpage{216}
@@ -593,7 +592,7 @@
   \item Correspondence theorem, \hyperpage{40}, \hyperpage{44}
   \item countable, \hyperpage{25}, \hyperpage{213}
   \item Countable subadditivity, \hyperpage{173}
-  \item Courant-Friedrichs-Lewy condition, \hyperpage{270}
+  \item Courant-Friedrichs-Lewy condition, \hyperpage{269}
   \item Covariance, \hyperpage{185}
   \item covariance, \hyperpage{185}, \hyperpage{249}
   \item covariance function, \hyperpage{330}
@@ -629,7 +628,7 @@
   \item cyclotomic, \hyperpage{170}
   \item càd, \hyperpage{326}
   \item càdlàg, \hyperpage{176}
-  \item Céa's lemma, \hyperpage{367}
+  \item Céa's lemma, \hyperpage{375}
 
   \indexspace
 
@@ -655,10 +654,10 @@
   \item Dehomogenization, \hyperpage{74}
   \item dehomogenization, \hyperpage{70}
   \item Delta method, \hyperpage{196}
-  \item Denjoy theorem, \hyperpage{343}
-  \item Denjoy-Koksma inequality, \hyperpage{342}
+  \item Denjoy theorem, \hyperpage{344}
+  \item Denjoy-Koksma inequality, \hyperpage{344}
   \item dense, \hyperpage{207}
-  \item density, \hyperpage{278}, \hyperpage{345}
+  \item density, \hyperpage{278}, \hyperpage{347}
   \item density function, \hyperpage{178}
   \item Dependence on $\boldsymbol  {\mathrm  {\lambda }}$, 
 		\hyperpage{129}
@@ -686,7 +685,7 @@
   \item diagonal, \hyperpage{20}
   \item diagonalizable, \hyperpage{20}
   \item Diagonalization theorem, \hyperpage{20}
-  \item diameter, \hyperpage{368}
+  \item diameter, \hyperpage{376}
   \item dicyclic group, \hyperpage{42}
   \item diffeomorphism, \hyperpage{57}
   \item Differentiability criterion, \hyperpage{56}
@@ -702,11 +701,11 @@
   \item differential operator over distributions, \hyperpage{245}
   \item differential system, \hyperpage{122}
   \item differentiation operator, \hyperpage{285}
-  \item diffusion, \hyperpage{379}
+  \item diffusion, \hyperpage{387}
   \item diffusion coefficient, \hyperpage{278}
   \item Diffusion equation, \hyperpage{278}
   \item diffusion flux, \hyperpage{278}
-  \item diffusions, \hyperpage{380}
+  \item diffusions, \hyperpage{388}
   \item diffusivity, \hyperpage{278}
   \item digital topology, \hyperpage{206}
   \item dihedral group, \hyperpage{42}
@@ -723,7 +722,7 @@
   \item director subspace, \hyperpage{70}
   \item Dirichlet, \hyperpage{274}
   \item Dirichlet boundary condition, \hyperpage{354}
-  \item Dirichlet boundary conditions, \hyperpage{367}
+  \item Dirichlet boundary conditions, \hyperpage{375}
   \item Dirichlet kernel, \hyperpage{84}, \hyperpage{233}
   \item Dirichlet problem, \hyperpage{140}, \hyperpage{288}
   \item Dirichlet problem in the disc, \hyperpage{288}
@@ -745,7 +744,7 @@
   \item Discrete topology, \hyperpage{206}
   \item Discrete uniform distribution, \hyperpage{177}
   \item discrete uniform distribution, \hyperpage{177}
-  \item discretization method, \hyperpage{365}
+  \item discretization method, \hyperpage{373}
   \item discriminant, \hyperpage{169}
   \item displacement current, \hyperpage{278}
   \item distance, \hyperpage{53}, \hyperpage{82}, \hyperpage{205}, 
@@ -768,22 +767,22 @@
 		\hyperpage{62}, \hyperpage{160}
   \item divergent, \hyperpage{26}, \hyperpage{76}, \hyperpage{105, 106}
   \item divided difference, \hyperpage{93}
-  \item Doléans-Dade exponential, \hyperpage{378}
+  \item Doléans-Dade exponential, \hyperpage{386}
   \item domain, \hyperpage{115}, \hyperpage{148}
   \item dominant eigenvalue, \hyperpage{100}
   \item dominant eigenvector, \hyperpage{100}
   \item Dominated convergence theorem, \hyperpage{184}, \hyperpage{189}, 
-		\hyperpage{297}, \hyperpage{344}
-  \item Doob's maximal inequality, \hyperpage{372}
-  \item Doob's optional sampling theorem, \hyperpage{372}
+		\hyperpage{297}, \hyperpage{346}
+  \item Doob's maximal inequality, \hyperpage{380}
+  \item Doob's optional sampling theorem, \hyperpage{380}
   \item Doob's optional sampling theorem for local martingales, 
-		\hyperpage{373}
+		\hyperpage{381}
   \item dot product, \hyperpage{53}
   \item double, \hyperpage{90}
   \item Double dual space, \hyperpage{19}
   \item double dual space, \hyperpage{19}
-  \item drift, \hyperpage{379}
-  \item drift term, \hyperpage{377}
+  \item drift, \hyperpage{387}
+  \item drift term, \hyperpage{385}
   \item Du Bois-Reymond's test, \hyperpage{107}
   \item Du-Fort-Frankel scheme, \hyperpage{274}
   \item dual basis, \hyperpage{19}
@@ -795,7 +794,6 @@
   \item Duhamel principle, \hyperpage{287}
   \item dummy variable, \hyperpage{253}
   \item dyadic partition of order $n$, \hyperpage{183}
-  \item Dynamic programming principle, \hyperpage{382}
   \item dynamical system, \hyperpage{130}
 
   \indexspace
@@ -816,7 +814,7 @@
   \item elliptic equation, \hyperpage{277}
   \item elliptic point, \hyperpage{150}
   \item elliptic sector, \hyperpage{133}
-  \item embedded, \hyperpage{349}
+  \item embedded, \hyperpage{351}
   \item embedded methods, \hyperpage{260}
   \item empirical distribution, \hyperpage{202}
   \item empty set, \hyperpage{6}
@@ -840,7 +838,7 @@
   \item equivalence relation, \hyperpage{8}
   \item equivalent, \hyperpage{13}, \hyperpage{17}, \hyperpage{23}, 
 		\hyperpage{73}, \hyperpage{130}, \hyperpage{132}, 
-		\hyperpage{306}, \hyperpage{362}
+		\hyperpage{306}, \hyperpage{370}
   \item equivalent dynamical systems, \hyperpage{131}
   \item Ergotic theorem, \hyperpage{324, 325}
   \item error of type I, \hyperpage{199}
@@ -862,7 +860,7 @@
   \item Euclidean vector space, \hyperpage{24}
   \item Euclidian division, \hyperpage{11}
   \item Euler characteristic, \hyperpage{218}
-  \item Euler method, \hyperpage{258}, \hyperpage{363}
+  \item Euler method, \hyperpage{258}, \hyperpage{371}
   \item Euler theorem, \hyperpage{50}
   \item Euler's formula, \hyperpage{108}, \hyperpage{150}
   \item Euler's theorem, \hyperpage{11}
@@ -875,12 +873,12 @@
   \item even extension, \hyperpage{84}
   \item even periodic extension, \hyperpage{283}
   \item event, \hyperpage{173}
-  \item events, \hyperpage{345}
+  \item events, \hyperpage{347}
   \item evolute, \hyperpage{144}
   \item exact, \hyperpage{156}
   \item Examples of Euclidean motions, \hyperpage{73}
   \item Excluded point topology, \hyperpage{206}
-  \item Existence and uniqueness of solutions of SDEs, \hyperpage{379}
+  \item Existence and uniqueness of solutions of SDEs, \hyperpage{387}
   \item Existence of a lift, \hyperpage{337}
   \item Existence of orthogonal polynomials, \hyperpage{96}
   \item Existence of the rotation number, \hyperpage{338}
@@ -888,10 +886,10 @@
   \item exists and it is finite, \hyperpage{298}
   \item expansion map, \hyperpage{335}
   \item Expansive fixed point theorem, \hyperpage{229}
-  \item Expectation, \hyperpage{183}, \hyperpage{345}
+  \item Expectation, \hyperpage{183}, \hyperpage{347}
   \item expectation, \hyperpage{178}, \hyperpage{182--184}, 
 		\hyperpage{249}
-  \item expectation of $X$, \hyperpage{345}
+  \item expectation of $X$, \hyperpage{347}
   \item explicit, \hyperpage{258}
   \item explicit Euler method, \hyperpage{258}
   \item explicit form, \hyperpage{122}
@@ -906,8 +904,8 @@
   \item exponential series, \hyperpage{48}
   \item extended complex plane, \hyperpage{105}
   \item extended real numbers, \hyperpage{105}
-  \item extension, \hyperpage{126}, \hyperpage{308}, \hyperpage{349}
-  \item extension operator, \hyperpage{349}
+  \item extension, \hyperpage{126}, \hyperpage{308}, \hyperpage{351}
+  \item extension operator, \hyperpage{351}
   \item exterior, \hyperpage{54}
   \item exterior angle, \hyperpage{160}
   \item Exterior angle theorem, \hyperpage{64}
@@ -924,7 +922,7 @@
   \item Fano configuration, \hyperpage{67}
   \item fast Fourier transform, \hyperpage{240}
   \item Fatou's lemma, \hyperpage{184}, \hyperpage{297}, 
-		\hyperpage{344}
+		\hyperpage{346}
   \item feasible region, \hyperpage{51}
   \item feasible solution, \hyperpage{51}
   \item Fejér kernel, \hyperpage{85}, \hyperpage{234}
@@ -934,7 +932,7 @@
   \item FEM, \hyperpage{275}
   \item Fermat's little theorem, \hyperpage{11}
   \item Fermat's principle, \hyperpage{278}
-  \item Feynman-Kac's formula, \hyperpage{381}
+  \item Feynman-Kac's formula, \hyperpage{389}
   \item FFT, \hyperpage{240}
   \item Fick's law, \hyperpage{278}
   \item Fick's law of diffusion, \hyperpage{278}
@@ -945,38 +943,36 @@
   \item field of complex numbers, \hyperpage{104}
   \item field of fractions, \hyperpage{46}, \hyperpage{163}
   \item field of rational functions, \hyperpage{163}
-  \item filtered probability space, \hyperpage{346}
-  \item filtration, \hyperpage{321}, \hyperpage{346}
+  \item filtered probability space, \hyperpage{348}
+  \item filtration, \hyperpage{321}, \hyperpage{348}
   \item filtration space, \hyperpage{321}
   \item finer, \hyperpage{205}
   \item finer than, \hyperpage{32}, \hyperpage{58}
   \item finite, \hyperpage{25}, \hyperpage{49}, \hyperpage{164}, 
 		\hyperpage{213}, \hyperpage{294}
   \item finite $k$-th moment, \hyperpage{185}
-  \item finite difference estimator, \hyperpage{364}
+  \item finite difference estimator, \hyperpage{372}
   \item finite difference method, \hyperpage{265}
   \item finite difference scheme, \hyperpage{268}
-  \item finite element, \hyperpage{367}
+  \item finite element, \hyperpage{375}
   \item finite element method, \hyperpage{275}
   \item finite expectation, \hyperpage{182--184}
   \item Finite field, \hyperpage{166}
   \item finite field, \hyperpage{166}
-  \item Finite horizon problem, \hyperpage{383}
   \item finite moment of order $k$, \hyperpage{185}
   \item Finite subadditivity, \hyperpage{173}
-  \item finite variation, \hyperpage{372}
+  \item finite variation, \hyperpage{380}
   \item Finite-dimensional distributions, \hyperpage{333}
   \item finite-dimensional distributions, \hyperpage{333}
   \item finite-rank operator, \hyperpage{307}
   \item finitely generated, \hyperpage{165}
-  \item firmly non-expansive, \hyperpage{351}
   \item first and second characteristic polynomials, \hyperpage{261}
   \item First Borel-Cantelli lemma, \hyperpage{188}
   \item first fundamental form, \hyperpage{148}
   \item first integral, \hyperpage{134}, \hyperpage{154}
   \item First isomorphism theorem, \hyperpage{18}, \hyperpage{39}, 
 		\hyperpage{44}
-  \item first order reflection, \hyperpage{350}
+  \item first order reflection, \hyperpage{352}
   \item First Sylow theorem, \hyperpage{41}
   \item Fisher information, \hyperpage{195}
   \item Fisher's theorem, \hyperpage{197}
@@ -992,9 +988,7 @@
   \item flow, \hyperpage{128}, \hyperpage{132}
   \item Flow box theorem, \hyperpage{132}
   \item flow of the linear ODE, \hyperpage{126}
-  \item Flow property, \hyperpage{382}
   \item flux, \hyperpage{62}, \hyperpage{159}
-  \item Fokker-Planck equation, \hyperpage{382}
   \item formal adjoint, \hyperpage{356}
   \item Formal derivative, \hyperpage{167}
   \item formal derivative, \hyperpage{167}
@@ -1010,7 +1004,6 @@
 		\hyperpage{244}, \hyperpage{313}
   \item Fourier transform operator, \hyperpage{232}
   \item Fourier's law, \hyperpage{278}
-  \item Frank-Wolfe-type method, \hyperpage{351}
   \item Fredholm alternative, \hyperpage{314}
   \item Fredholm operator with kernel $K$, \hyperpage{307}
   \item free variables, \hyperpage{14}
@@ -1019,12 +1012,14 @@
   \item Fresnel integrals, \hyperpage{113}
   \item Frobenius endomorphism, \hyperpage{166}
   \item Fréchet, \hyperpage{212}
+  \item Fréchet derivative, \hyperpage{363}
+  \item Fréchet differentiable, \hyperpage{363}
   \item FTBS, \hyperpage{268}
   \item FTCS, \hyperpage{268}
   \item FTFS, \hyperpage{268}
-  \item Fubini, \hyperpage{344}
+  \item Fubini, \hyperpage{346}
   \item Fubini's theorem, \hyperpage{59}, \hyperpage{175}, 
-		\hyperpage{300}
+		\hyperpage{299}
   \item Fubini's theorem for elementary regions, \hyperpage{59}
   \item full QR decomposition, \hyperpage{267}
   \item function, \hyperpage{7}
@@ -1047,9 +1042,9 @@
 
   \indexspace
 
-  \item Gagliardo, Nirengerg and Sobolev's inequality, \hyperpage{349}
+  \item Gagliardo, Nirengerg and Sobolev's inequality, \hyperpage{351}
   \item Galerkin approximation, \hyperpage{275}
-  \item Galerkin methods, \hyperpage{369}
+  \item Galerkin methods, \hyperpage{377}
   \item Galois, \hyperpage{168}
   \item Galois extension, \hyperpage{168}
   \item Galois group, \hyperpage{166}
@@ -1086,42 +1081,40 @@
   \item generalized eigenvector, \hyperpage{128}
   \item generalized heat kernel, \hyperpage{286}
   \item Generalized Hölder's inequality, \hyperpage{237}
-  \item generalized Itô integral, \hyperpage{376}
+  \item generalized Itô integral, \hyperpage{384}
   \item generalized solution, \hyperpage{245}
   \item generating set, \hyperpage{16}
-  \item Generator, \hyperpage{380}
-  \item generator, \hyperpage{380}
+  \item Generator, \hyperpage{388}
+  \item generator, \hyperpage{388}
   \item generator tree, \hyperpage{50}
   \item generatrix, \hyperpage{147}
   \item genus $g$ orientable surface, \hyperpage{217}
   \item genus $h$ non-orientable surface, \hyperpage{217}
   \item geodesic, \hyperpage{153}
   \item geodesic curvature, \hyperpage{153}
-  \item Geometric Brownian motion, \hyperpage{380}
+  \item Geometric Brownian motion, \hyperpage{388}
   \item Geometric distribution, \hyperpage{177}
   \item geometric distribution, \hyperpage{177}
   \item geometric multiplicity, \hyperpage{20}
   \item Gershgorin circle theorem, \hyperpage{92}
-  \item Giranov's theorem, \hyperpage{379}
+  \item Giranov's theorem, \hyperpage{387}
   \item Glide orthogonal reflections, \hyperpage{73}
   \item glide reflection, \hyperpage{72}
   \item glide vector, \hyperpage{73}
   \item Global Gau\ss -Bonnet theorem, \hyperpage{160}
-  \item global interpolant, \hyperpage{368}
-  \item Global interpolation error, \hyperpage{369}
+  \item global interpolant, \hyperpage{376}
+  \item Global interpolation error, \hyperpage{377}
   \item global maximum, \hyperpage{57}
   \item global minimum, \hyperpage{57}
   \item global stable manifold, \hyperpage{222}
   \item global truncation error, \hyperpage{258}
   \item global unstable manifold, \hyperpage{222}
-  \item globally smooth, \hyperpage{369}
+  \item globally smooth, \hyperpage{377}
   \item Goodness of fit, \hyperpage{200}
   \item Goursat's theorem, \hyperpage{112}
   \item Gra\ss mann formula, \hyperpage{16}, \hyperpage{67}
   \item gradient, \hyperpage{56}
   \item Gradient descent, \hyperpage{264}
-  \item Gradient descent algorithm, \hyperpage{351}
-  \item gradient descent algorithm, \hyperpage{351}
   \item gradient vector field, \hyperpage{61}
   \item Gram-Schmidt process, \hyperpage{23}, \hyperpage{313}
   \item graph, \hyperpage{49}, \hyperpage{55}, \hyperpage{227}
@@ -1133,12 +1126,14 @@
   \item Green's formula, \hyperpage{159}
   \item Green's theorem, \hyperpage{62}
   \item grid, \hyperpage{268}
-  \item Gronwall's lemma, \hyperpage{379}
+  \item Gronwall's lemma, \hyperpage{387}
   \item Group, \hyperpage{37}
   \item group, \hyperpage{37}
   \item Group morphism, \hyperpage{38}
   \item group morphism, \hyperpage{38}
   \item Grönwall's lemma, \hyperpage{129}
+  \item Gâteaux derivative, \hyperpage{363}
+  \item Gâteaux differentiable, \hyperpage{363}
 
   \indexspace
 
@@ -1162,7 +1157,6 @@
   \item heat flux, \hyperpage{278}
   \item heat kernel, \hyperpage{285}
   \item Heaviside step function, \hyperpage{242}, \hyperpage{285}
-  \item Heavy ball method, \hyperpage{352}
   \item Heine's theorem, \hyperpage{55}
   \item Heine-Borel theorem, \hyperpage{214}
   \item Hermite interpolation problem, \hyperpage{94}
@@ -1173,17 +1167,17 @@
   \item high-leverage point, \hyperpage{255}
   \item high-leverage points, \hyperpage{255}
   \item highest posterior density, \hyperpage{204}
-  \item Hilbert basis, \hyperpage{313}
+  \item Hilbert basis, \hyperpage{312}
   \item Hilbert field, \hyperpage{64}
   \item Hilbert plane, \hyperpage{64}
-  \item Hilbert space, \hyperpage{311}
+  \item Hilbert space, \hyperpage{310}
   \item Hilbert transform, \hyperpage{247}
   \item Hilbert's basis theorem, \hyperpage{43}
   \item Hilbert's Nullstellensatz, \hyperpage{45}
   \item Hilbert-Schmidt operator with kernel $K$, \hyperpage{307}
   \item Hilbert-Schmidt spectral representation theorem, 
-		\hyperpage{314}
-  \item hitting time, \hyperpage{372}
+		\hyperpage{313}
+  \item hitting time, \hyperpage{380}
   \item holding times, \hyperpage{327}
   \item holes, \hyperpage{216}
   \item holomorphic, \hyperpage{109}
@@ -1201,7 +1195,7 @@
   \item homogeneous of degree $k$, \hyperpage{221}
   \item homogeneous of degree $r\in \ensuremath  {\mathbb  {R}}$, 
 		\hyperpage{245}
-  \item homogeneous SDE, \hyperpage{380}
+  \item homogeneous SDE, \hyperpage{388}
   \item Homogenization, \hyperpage{74}
   \item homogenization, \hyperpage{70}
   \item homography, \hyperpage{67}
@@ -1211,7 +1205,7 @@
   \item homotopic, \hyperpage{139}
   \item homotopy, \hyperpage{139}
   \item Hopf bifurcation theorem, \hyperpage{226}
-  \item Hopf's lemma, \hyperpage{358}
+  \item Hopf's lemma, \hyperpage{360}
   \item Hopf-bifurcation, \hyperpage{226}
   \item Hurwitz's theorem, \hyperpage{119}
   \item hyperbolic, \hyperpage{268}, \hyperpage{273}
@@ -1232,8 +1226,8 @@
   \item hypothesis test, \hyperpage{199}
   \item Hölder condition, \hyperpage{247}
   \item Hölder conjugates, \hyperpage{302}
-  \item Hölder continuity, \hyperpage{349}
-  \item Hölder's inequality, \hyperpage{302, 303}
+  \item Hölder continuity, \hyperpage{351}
+  \item Hölder's inequality, \hyperpage{302}
 
   \indexspace
 
@@ -1249,12 +1243,11 @@
   \item Immersion, \hyperpage{146}
   \item immersion, \hyperpage{146}
   \item implicit, \hyperpage{258}
-  \item implicit descent, \hyperpage{352}
   \item implicit Euler method, \hyperpage{258}
   \item implicit form, \hyperpage{122}
   \item Implicit function theorem, \hyperpage{57}
   \item Implicit scheme in finite differences, \hyperpage{286}
-  \item importance sampling estimator, \hyperpage{362}
+  \item importance sampling estimator, \hyperpage{370}
   \item improper, \hyperpage{37}, \hyperpage{203}
   \item improper integral, \hyperpage{79}
   \item in perspective with respect to a line, \hyperpage{68}
@@ -1291,7 +1284,6 @@
   \item infinite product topology, \hyperpage{209}
   \item infinitesimal generator, \hyperpage{328}
   \item infinitesimal transition scheme, \hyperpage{328}
-  \item Infinte horizon problem, \hyperpage{383}
   \item inflection point, \hyperpage{31}
   \item Information, \hyperpage{256}
   \item information of an event, \hyperpage{256}
@@ -1304,7 +1296,7 @@
   \item injective, \hyperpage{7}
   \item inner product, \hyperpage{24}, \hyperpage{82}, \hyperpage{310}
   \item Inner regularity, \hyperpage{357}
-  \item insphere diameter, \hyperpage{368}
+  \item insphere diameter, \hyperpage{376}
   \item integrable, \hyperpage{32}, \hyperpage{182, 183}
   \item integrable function, \hyperpage{59}
   \item integrable function over $E$, \hyperpage{297}
@@ -1320,7 +1312,7 @@
   \item integral of $f$ over a measurable set $E\subseteq \ensuremath  {\mathbb  {R}}^n$, 
 		\hyperpage{296}
   \item integral of $f$ over the region $R$, \hyperpage{148}
-  \item integral of $f$ with respect to $\mu $, \hyperpage{344}
+  \item integral of $f$ with respect to $\mu $, \hyperpage{346}
   \item integral of $s$ over $\ensuremath  {\mathbb  {R}}^n$, 
 		\hyperpage{295}
   \item integral of $s$ over a measurable set $E$, \hyperpage{295}
@@ -1332,15 +1324,15 @@
   \item inter-arrival times, \hyperpage{327}
   \item Interior, \hyperpage{206}
   \item interior, \hyperpage{54}, \hyperpage{206}
-  \item interior ball condition, \hyperpage{358}
+  \item interior ball condition, \hyperpage{360}
   \item interior point, \hyperpage{54}, \hyperpage{157}, 
 		\hyperpage{207}
   \item interior product, \hyperpage{156}
   \item Intermediate value theorem, \hyperpage{28}, \hyperpage{55}, 
 		\hyperpage{94}, \hyperpage{215}
   \item internally studentized residuals, \hyperpage{254}
-  \item interpolant, \hyperpage{369, 370}
-  \item Interpolation inequality, \hyperpage{303}
+  \item interpolant, \hyperpage{377, 378}
+  \item Interpolation inequality, \hyperpage{302}
   \item interpolation problem, \hyperpage{93}
   \item intersection, \hyperpage{6}
   \item interval, \hyperpage{291}
@@ -1348,7 +1340,7 @@
   \item Intervals for $\mu $ and $\sigma ^2$, \hyperpage{198}
   \item invariance level, \hyperpage{71}
   \item Invariance of the MLE, \hyperpage{195}
-  \item Invariance under time shift, \hyperpage{380}
+  \item Invariance under time shift, \hyperpage{388}
   \item invariant, \hyperpage{131}, \hyperpage{339, 340}
   \item invariant algebraic curve, \hyperpage{135}
   \item invariant subspace, \hyperpage{21}
@@ -1379,7 +1371,7 @@
   \item isolated singularity, \hyperpage{116}, \hyperpage{160}
   \item isometric, \hyperpage{23}
   \item isometry, \hyperpage{23}, \hyperpage{74}, \hyperpage{148}, 
-		\hyperpage{374}
+		\hyperpage{382}
   \item isomorphic, \hyperpage{17}, \hyperpage{38}, \hyperpage{50}, 
 		\hyperpage{306}
   \item isomorphism, \hyperpage{38}
@@ -1389,11 +1381,11 @@
   \item iteration matrix, \hyperpage{99}
   \item itinerary, \hyperpage{230}
   \item Itinerary lemma, \hyperpage{229}
-  \item Itô integral, \hyperpage{376}
-  \item Itô isometry, \hyperpage{376}
-  \item Itô process, \hyperpage{377}
-  \item Itô term, \hyperpage{378}
-  \item Itô's formula, \hyperpage{378}, \hyperpage{382}
+  \item Itô integral, \hyperpage{384}
+  \item Itô isometry, \hyperpage{384}
+  \item Itô process, \hyperpage{385}
+  \item Itô term, \hyperpage{386}
+  \item Itô's formula, \hyperpage{386}
   \item ivp, \hyperpage{122}
 
   \indexspace
@@ -1403,13 +1395,13 @@
   \item Jacobian determinant, \hyperpage{55}
   \item Jacobian matrix, \hyperpage{55}
   \item Jeffrey's prior, \hyperpage{203}
-  \item Jensen's inequality, \hyperpage{236}, \hyperpage{345}
+  \item Jensen's inequality, \hyperpage{236}, \hyperpage{347}
   \item joint pdf, \hyperpage{180}
   \item joint pmf, \hyperpage{180}
   \item joint probability density function, \hyperpage{180}
   \item Joint probability mass function, \hyperpage{180}
   \item joint probability mass function, \hyperpage{180}
-  \item jointly Gaussian, \hyperpage{371}
+  \item jointly Gaussian, \hyperpage{379}
   \item Jordan arc, \hyperpage{61}
   \item Jordan block, \hyperpage{21}
   \item Jordan closed curve, \hyperpage{61}
@@ -1431,10 +1423,9 @@
   \item Kolmogorov system, \hyperpage{221}
   \item Kolmogorov's backward equation, \hyperpage{328}
   \item Kolmogorov's continuity theorem, \hyperpage{331}
-  \item Kolmogorov's equation, \hyperpage{380}
+  \item Kolmogorov's equation, \hyperpage{388}
   \item Kolmogorov's forward equation, \hyperpage{328}
   \item Kolmogorov's strong law of large numbers, \hyperpage{191}
-  \item Krasnoselskii-Mann's convergence theorem, \hyperpage{353}
   \item Kronecker delta, \hyperpage{19}
   \item Kronecker's lemma, \hyperpage{164}
   \item Kronecker's theorem, \hyperpage{167}
@@ -1446,18 +1437,21 @@
   \item L'H\^opital's rule, \hyperpage{30}
   \item lack of fit test, \hyperpage{254}
   \item Lagrange basis polynomials, \hyperpage{93}
+  \item Lagrange multiplier, \hyperpage{365}
+  \item Lagrange multipliers, \hyperpage{364, 365}
+  \item Lagrange multipliers in several variables, \hyperpage{365}
   \item Lagrange multipliers theorem, \hyperpage{58}
   \item Lagrange's interpolation problem, \hyperpage{93}
   \item Lagrange's theorem, \hyperpage{39}
   \item Laguerre polynomials, \hyperpage{96}
   \item Lamé coefficients, \hyperpage{277}
-  \item Langevin equation, \hyperpage{379}
+  \item Langevin equation, \hyperpage{387}
   \item Laplace equation, \hyperpage{140}, \hyperpage{288}
   \item Laplacian, \hyperpage{61}
   \item lattice of subgroups, \hyperpage{169}
   \item Laurent series, \hyperpage{117}
   \item Laurent series theorem, \hyperpage{117}
-  \item law of $X$, \hyperpage{345}
+  \item law of $X$, \hyperpage{347}
   \item Law of the iterated logarithm, \hyperpage{333}
   \item Law of total expectation, \hyperpage{186, 187}, \hyperpage{315}
   \item Law of total probability, \hyperpage{174}, \hyperpage{315}
@@ -1493,7 +1487,7 @@
   \item level set, \hyperpage{55}
   \item leverage, \hyperpage{253}
   \item levorotation, \hyperpage{145}
-  \item Levy's characterization of Brownian motion, \hyperpage{374}
+  \item Levy's characterization of Brownian motion, \hyperpage{382}
   \item lexicographic degree, \hyperpage{163}
   \item lexicographic order, \hyperpage{163}
   \item lift, \hyperpage{337}
@@ -1558,8 +1552,8 @@
   \item local equivalence, \hyperpage{132}
   \item local extremum, \hyperpage{30}, \hyperpage{57}
   \item Local Gau\ss -Bonnet theorem, \hyperpage{160}
-  \item local interpolant, \hyperpage{368}
-  \item Local interpolation error, \hyperpage{369}
+  \item local interpolant, \hyperpage{376}
+  \item Local interpolation error, \hyperpage{377}
   \item local isometry, \hyperpage{148}
   \item local maximum, \hyperpage{30}, \hyperpage{57}
   \item local minimum, \hyperpage{30}, \hyperpage{57}
@@ -1568,7 +1562,7 @@
   \item local transversal section, \hyperpage{132}
   \item local truncation error, \hyperpage{262}
   \item local truncation errors, \hyperpage{258}
-  \item localizing sequence, \hyperpage{373}
+  \item localizing sequence, \hyperpage{381}
   \item locally, \hyperpage{214}
   \item locally bounded, \hyperpage{121}, \hyperpage{304}
   \item locally compact, \hyperpage{214}
@@ -1586,7 +1580,7 @@
   \item Logarithmic test, \hyperpage{76}
   \item logistic map, \hyperpage{228}
   \item logit, \hyperpage{257}
-  \item Longstaff-Schwartz method, \hyperpage{366}
+  \item Longstaff-Schwartz method, \hyperpage{374}
   \item loop, \hyperpage{49}, \hyperpage{215}
   \item Lorenz system, \hyperpage{228}
   \item loss function, \hyperpage{203}
@@ -1600,7 +1594,7 @@
   \item LU decomposition, \hyperpage{102}
   \item LU descompostion, \hyperpage{102}
   \item Lyapunov central limit theorem, \hyperpage{192}
-  \item Lyapunov exponent, \hyperpage{336}
+  \item Lyapunov exponent, \hyperpage{337}
   \item Lyapunov function, \hyperpage{137}
   \item Lyapunov stable, \hyperpage{137}
   \item Lyapunov's method, \hyperpage{226}
@@ -1622,11 +1616,11 @@
   \item marginal probability mass functions, \hyperpage{180}
   \item Markov chain, \hyperpage{318}
   \item Markov property, \hyperpage{318}
-  \item Markov property for Brownian motion, \hyperpage{371}
+  \item Markov property for Brownian motion, \hyperpage{379}
   \item Markov's inequality, \hyperpage{185}
-  \item Martingale, \hyperpage{371}
-  \item martingale, \hyperpage{346}, \hyperpage{371}
-  \item martingale term, \hyperpage{377}
+  \item Martingale, \hyperpage{379}
+  \item martingale, \hyperpage{348}, \hyperpage{379}
+  \item martingale term, \hyperpage{385}
   \item material derivative operator, \hyperpage{277}
   \item Matrix, \hyperpage{13}
   \item matrix, \hyperpage{13}, \hyperpage{18}
@@ -1655,21 +1649,21 @@
   \item Mean value theorem for vector-valued functions, \hyperpage{56}
   \item mean vector, \hyperpage{181}, \hyperpage{196}
   \item measurable, \hyperpage{175}, \hyperpage{293, 294}, 
-		\hyperpage{344}
-  \item measurable space, \hyperpage{344}
-  \item Measure, \hyperpage{291}, \hyperpage{344}
-  \item measure, \hyperpage{174}, \hyperpage{291}, \hyperpage{344}
-  \item measure of $A$, \hyperpage{340}
-  \item measure of $U$, \hyperpage{340}
+		\hyperpage{346}
+  \item measurable space, \hyperpage{346}
+  \item Measure, \hyperpage{291}, \hyperpage{346}
+  \item measure, \hyperpage{174}, \hyperpage{291}, \hyperpage{346}
+  \item measure of $A$, \hyperpage{341}
+  \item measure of $U$, \hyperpage{341}
   \item measure on $\mathcal  {C}(\ensuremath  {\mathbb  {T}}^1)$, 
 		\hyperpage{339}
-  \item measure space, \hyperpage{175}, \hyperpage{344}
+  \item measure space, \hyperpage{175}, \hyperpage{346}
   \item Melnikov's method, \hyperpage{227}
   \item memoryless, \hyperpage{177, 178}
   \item meromorphic, \hyperpage{118}
-  \item Mersenne Twister algorithm, \hyperpage{360}
+  \item Mersenne Twister algorithm, \hyperpage{368}
   \item Mesh, \hyperpage{275}
-  \item mesh, \hyperpage{275}, \hyperpage{372}
+  \item mesh, \hyperpage{275}, \hyperpage{380}
   \item mesh-points, \hyperpage{258}
   \item Method of characteristics, \hyperpage{279}
   \item Method of moments, \hyperpage{194}
@@ -1677,7 +1671,7 @@
   \item metric space, \hyperpage{53}, \hyperpage{205}, \hyperpage{300}
   \item metrizable, \hyperpage{187}, \hyperpage{212}
   \item Meusnier's theorem, \hyperpage{150}
-  \item minimal, \hyperpage{221}, \hyperpage{340}
+  \item minimal, \hyperpage{221}, \hyperpage{341}
   \item minimal element, \hyperpage{9}
   \item minimal polynomial, \hyperpage{20}
   \item minimal surface, \hyperpage{149}
@@ -1707,16 +1701,17 @@
   \item moment-generating function, \hyperpage{186}
   \item monic, \hyperpage{11}
   \item Monotone convergence theorem, \hyperpage{184}, \hyperpage{296}, 
-		\hyperpage{344}
+		\hyperpage{346}
   \item monotonic, \hyperpage{26}, \hyperpage{28}
   \item monotonically decreasing, \hyperpage{26}
   \item monotonically increasing, \hyperpage{26}
-  \item Montecarlo estimator, \hyperpage{360}
+  \item Montecarlo estimator, \hyperpage{368}
   \item Montel's theorem, \hyperpage{121}
   \item more efficient than, \hyperpage{194}
   \item Morera's theorem, \hyperpage{114}
   \item morphism of field extensions, \hyperpage{165}
-  \item Morrey's embedding, \hyperpage{349}
+  \item Morrey's embedding, \hyperpage{351}
+  \item Mountain pass theorem, \hyperpage{366}
   \item MSE, \hyperpage{194}
   \item multi-index notation, \hyperpage{57}
   \item multicollinearity, \hyperpage{255}
@@ -1725,14 +1720,13 @@
   \item Multinomial distrbution, \hyperpage{180}
   \item multinomial distribution, \hyperpage{180}
   \item multiple, \hyperpage{10}
-  \item multiple control variate estimator, \hyperpage{362}
+  \item multiple control variate estimator, \hyperpage{370}
   \item multiple edges, \hyperpage{49}
   \item Multiple shooting method, \hyperpage{264}
   \item multiple shooting method, \hyperpage{264}
   \item multiplicative group, \hyperpage{43}
   \item multiplicity, \hyperpage{114}
   \item multistep, \hyperpage{268}
-  \item multistep method, \hyperpage{352}
   \item multivalued function, \hyperpage{104}
   \item multivariate cdf, \hyperpage{181}
   \item multivariate cumulative distribution function, \hyperpage{181}
@@ -1750,17 +1744,17 @@
 
   \indexspace
 
-  \item naive approach, \hyperpage{365}
+  \item naive approach, \hyperpage{373}
   \item Nart-Vila theorem, \hyperpage{171}
   \item Natural cubic spline, \hyperpage{94}
-  \item natural filtration, \hyperpage{371}
+  \item natural filtration, \hyperpage{379}
   \item Navier-Cauchy equation, \hyperpage{277}
   \item negation, \hyperpage{8}
   \item negative, \hyperpage{141}
   \item negative basis, \hyperpage{142}
   \item Negative binomial distribution, \hyperpage{178}
   \item negative binomial distribution, \hyperpage{178}
-  \item negative orbit, \hyperpage{339}
+  \item negative orbit, \hyperpage{340}
   \item negative part, \hyperpage{77}
   \item negative semi-orbit, \hyperpage{130}
   \item negative-definite, \hyperpage{23}
@@ -1770,16 +1764,14 @@
   \item negatively rotated, \hyperpage{227}
   \item negatively stable, \hyperpage{131}
   \item negatively-oriented, \hyperpage{142}
+  \item Nehari manifold method, \hyperpage{365}
   \item neighbourhood, \hyperpage{25}, \hyperpage{54}, \hyperpage{207}
-  \item Nesterov's accelerated gradient method, \hyperpage{352}
-  \item Nesterov's method, \hyperpage{352}
   \item Neumann, \hyperpage{274}
   \item Neumann boundary condition, \hyperpage{354}
-  \item Neumann boundary conditions, \hyperpage{367}
-  \item Neumann series, \hyperpage{308}
+  \item Neumann boundary conditions, \hyperpage{375}
+  \item Neumann series, \hyperpage{307}
   \item Neville's algorithm, \hyperpage{93}
-  \item Newton method, \hyperpage{262}, \hyperpage{264}, 
-		\hyperpage{352}
+  \item Newton method, \hyperpage{262}, \hyperpage{264}
   \item Newton's divided differences\\method, \hyperpage{93}
   \item Newton-Raphson method, \hyperpage{90}
   \item Newton-Raphson modified method, \hyperpage{90}
@@ -1805,7 +1797,6 @@
   \item non-singular, \hyperpage{131}
   \item non-wandering, \hyperpage{340}
   \item noncommutative ring, \hyperpage{42}
-  \item nonexpansive, \hyperpage{352}
   \item nonsingular, \hyperpage{22}
   \item norm, \hyperpage{24}, \hyperpage{53}, \hyperpage{94}, 
 		\hyperpage{300}, \hyperpage{305}
@@ -1830,7 +1821,7 @@
   \item normed vector space, \hyperpage{53}, \hyperpage{300}
   \item not integrable, \hyperpage{182}
   \item not orientation-preserving, \hyperpage{217}
-  \item Novikov's condition, \hyperpage{378}
+  \item Novikov's condition, \hyperpage{386}
   \item null hypothesis, \hyperpage{199}
   \item null recurrent, \hyperpage{324}
   \item null set, \hyperpage{174}, \hyperpage{293}
@@ -1851,6 +1842,7 @@
   \item odds, \hyperpage{257}
   \item ode, \hyperpage{122}
   \item Olinde Rodrigues' theorem, \hyperpage{150}
+  \item omega limit, \hyperpage{340}
   \item one-parameter family of rotated vector fields, \hyperpage{227}
   \item One-point compactification, \hyperpage{214}
   \item one-point compactification, \hyperpage{214}
@@ -1866,10 +1858,9 @@
   \item Open mapping theorem, \hyperpage{116}, \hyperpage{309}
   \item open sets, \hyperpage{205}
   \item operator, \hyperpage{124}, \hyperpage{305}
-  \item Opial's lemma, \hyperpage{352}
   \item opposite orientations, \hyperpage{142}, \hyperpage{217}
   \item orbit, \hyperpage{8}, \hyperpage{40}, \hyperpage{130}, 
-		\hyperpage{339}
+		\hyperpage{340}
   \item Orbit linear structure, \hyperpage{8}
   \item Orbit structure, \hyperpage{8}
   \item Orbit-stabilizer theorem, \hyperpage{40}
@@ -1907,12 +1898,12 @@
   \item orthogonal projection, \hyperpage{23}
   \item orthogonal projection on $F$, \hyperpage{311}
   \item orthogonal reflections, \hyperpage{73}
-  \item orthogonal system, \hyperpage{313}
+  \item orthogonal system, \hyperpage{312}
   \item orthogonal with respect to the weight $\omega (x)$, 
 		\hyperpage{96}
-  \item Orthogonality of martingales, \hyperpage{372}
+  \item Orthogonality of martingales, \hyperpage{380}
   \item orthonormal, \hyperpage{22}, \hyperpage{82}
-  \item orthonormal system, \hyperpage{82}, \hyperpage{313}
+  \item orthonormal system, \hyperpage{82}, \hyperpage{312}
   \item orthonormalization, \hyperpage{313}
   \item osculating circle, \hyperpage{144}
   \item Osculating plane, \hyperpage{143}
@@ -1924,6 +1915,8 @@
 
   \indexspace
 
+  \item Palais-Smale condition at level $c$, \hyperpage{366}
+  \item Palais-Smale sequence, \hyperpage{366}
   \item Paley-Wiener-Zygmund theorem, \hyperpage{331}
   \item Pappus configuration, \hyperpage{68}
   \item PAQ reduction theorem, \hyperpage{14}
@@ -1933,7 +1926,7 @@
   \item parabolic point, \hyperpage{150}
   \item parallel, \hyperpage{70}, \hyperpage{152}
   \item parallel transport, \hyperpage{152}
-  \item Parallelogram law, \hyperpage{53}, \hyperpage{311}
+  \item Parallelogram law, \hyperpage{53}, \hyperpage{310}
   \item parameter set, \hyperpage{316}
   \item parameter space, \hyperpage{193}
   \item parametric, \hyperpage{193}
@@ -1949,7 +1942,7 @@
   \item partial differential equation, \hyperpage{139}
   \item Partial fraction decomposition theorem, \hyperpage{117}
   \item partial inverse Fourier transform, \hyperpage{233}
-  \item partial isometry, \hyperpage{374}
+  \item partial isometry, \hyperpage{382}
   \item partial order relation, \hyperpage{9}
   \item Partial pivoting, \hyperpage{102}
   \item partially ordered set, \hyperpage{9}
@@ -2010,12 +2003,12 @@
   \item Poincaré index formula, \hyperpage{139}
   \item Poincaré inequality, \hyperpage{289}
   \item Poincaré map, \hyperpage{136}
-  \item Poincaré's inequality, \hyperpage{348}
+  \item Poincaré's inequality, \hyperpage{350}
   \item Poincaré's method, \hyperpage{226}
   \item Poincaré-Bendixson theorem, \hyperpage{136}
   \item Poincaré-Hopf theorem, \hyperpage{139}, \hyperpage{161}
   \item Poincaré-Hopf theorem on $S^2$, \hyperpage{139}
-  \item Poincaré-Wirtinger's inequality, \hyperpage{348}
+  \item Poincaré-Wirtinger's inequality, \hyperpage{350}
   \item points, \hyperpage{63}, \hyperpage{205}
   \item points of the quadric, \hyperpage{73}
   \item pointwise bounded, \hyperpage{125}, \hyperpage{304}
@@ -2027,7 +2020,7 @@
   \item Poisson summation formula, \hyperpage{238}, \hyperpage{240}
   \item Polar form, \hyperpage{108}
   \item polar form, \hyperpage{108}
-  \item Polar method, \hyperpage{361}
+  \item Polar method, \hyperpage{369}
   \item Polarization identity, \hyperpage{310}
   \item Pole, \hyperpage{116}
   \item pole, \hyperpage{116}
@@ -2046,7 +2039,7 @@
   \item poset, \hyperpage{9}
   \item positive, \hyperpage{141}, \hyperpage{158}
   \item positive basis, \hyperpage{142}
-  \item positive orbit, \hyperpage{339}
+  \item positive orbit, \hyperpage{340}
   \item positive part, \hyperpage{77}
   \item positive recurrent, \hyperpage{324}
   \item positive semi-orbit, \hyperpage{130}
@@ -2070,13 +2063,14 @@
   \item power series, \hyperpage{78}
   \item power set, \hyperpage{6}
   \item pre-Hilbert space, \hyperpage{310}
+  \item precompact, \hyperpage{357}
   \item predicate, \hyperpage{6}
   \item prediction, \hyperpage{253}
   \item prediction band, \hyperpage{254}
   \item preditions, \hyperpage{250}
   \item preimage, \hyperpage{7}
   \item preserves orientation, \hyperpage{337}
-  \item price of an American option, \hyperpage{365}
+  \item price of an American option, \hyperpage{373}
   \item primal, \hyperpage{51}
   \item prime, \hyperpage{10}, \hyperpage{12}, \hyperpage{44}
   \item Prime number theorem, \hyperpage{10}
@@ -2097,18 +2091,18 @@
   \item prior distribution, \hyperpage{202}
   \item probability, \hyperpage{173}
   \item probability density function, \hyperpage{178}
-  \item probability kernel, \hyperpage{346}
+  \item probability kernel, \hyperpage{348}
   \item Probability mass function, \hyperpage{176}
   \item probability mass function, \hyperpage{176}
   \item probability measure, \hyperpage{339}
-  \item probability space, \hyperpage{173}, \hyperpage{345}
+  \item probability space, \hyperpage{173}, \hyperpage{347}
   \item probability-generating function, \hyperpage{316}
   \item product, \hyperpage{11}, \hyperpage{13}, \hyperpage{106}
-  \item Product measure, \hyperpage{344}
-  \item product measure, \hyperpage{344}
+  \item Product measure, \hyperpage{346}
+  \item product measure, \hyperpage{346}
   \item product topology, \hyperpage{209}
   \item products of group subsets, \hyperpage{40}
-  \item progressive, \hyperpage{375}
+  \item progressive, \hyperpage{383}
   \item projection, \hyperpage{71}
   \item Projection theorem, \hyperpage{311}
   \item Projections, \hyperpage{71}
@@ -2150,8 +2144,8 @@
   \item Quadratic loss function, \hyperpage{203}
   \item quadratic polynomial, \hyperpage{162}
   \item quadratic space, \hyperpage{74}
-  \item Quadratic variation, \hyperpage{372}
-  \item quadratic variation, \hyperpage{377}
+  \item Quadratic variation, \hyperpage{380}
+  \item quadratic variation, \hyperpage{385}
   \item quadrature formula, \hyperpage{95}
   \item quadrature formula with weight $\omega (x)$, \hyperpage{97}
   \item quadric, \hyperpage{73}
@@ -2165,7 +2159,7 @@
   \item quotient group, \hyperpage{39}
   \item quotient map, \hyperpage{210}
   \item quotient space, \hyperpage{17}, \hyperpage{210}, 
-		\hyperpage{302}
+		\hyperpage{301}
   \item quotient space of collapsing a set to a point, \hyperpage{211}
   \item quotient topology, \hyperpage{210}
 
@@ -2179,10 +2173,10 @@
   \item radius of curvature, \hyperpage{144}
   \item radix-2 decimation-in-time (DIT) FFT, \hyperpage{240}
   \item Radix-2 DIT Cooley-Tukey FFT algorithm, \hyperpage{240}
-  \item Radon-Nikodym, \hyperpage{345}
+  \item Radon-Nikodym, \hyperpage{347}
   \item Radó theorem, \hyperpage{218}
   \item random sample, \hyperpage{193}
-  \item Random variable, \hyperpage{345}
+  \item Random variable, \hyperpage{347}
   \item random variable, \hyperpage{175}
   \item random vector, \hyperpage{179}
   \item Random walk, \hyperpage{319}
@@ -2226,13 +2220,13 @@
   \item Regula falsi method, \hyperpage{90}
   \item regular, \hyperpage{49}, \hyperpage{58}, \hyperpage{131}, 
 		\hyperpage{141}, \hyperpage{195, 196}, \hyperpage{212}, 
-		\hyperpage{328}, \hyperpage{369}
+		\hyperpage{328}, \hyperpage{377}
   \item regular distributions, \hyperpage{241}
   \item regular domain, \hyperpage{148}
   \item regular region, \hyperpage{160}
   \item regular surface, \hyperpage{147}
   \item Regularity up to the boundary, \hyperpage{357}
-  \item Reillich-Kondrachov's compactness theorem, \hyperpage{350}
+  \item Reillich-Kondrachov's compactness theorem, \hyperpage{352}
   \item Related samples with unknown variances, \hyperpage{199}
   \item relative condition numbers, \hyperpage{90}
   \item relative error, \hyperpage{89}
@@ -2250,7 +2244,7 @@
   \item residuals, \hyperpage{250}
   \item residue, \hyperpage{116}
   \item Residues theorem, \hyperpage{117}
-  \item resolvent set, \hyperpage{356}
+  \item resolvent set, \hyperpage{357}
   \item response, \hyperpage{253}
   \item restrictions, \hyperpage{51}
   \item Reuter criterion, \hyperpage{330}
@@ -2278,20 +2272,20 @@
   \item ring, \hyperpage{42}
   \item Ring morphism, \hyperpage{43}
   \item ring morphism, \hyperpage{43}
-  \item risk-free interest rate, \hyperpage{365}
+  \item risk-free interest rate, \hyperpage{373}
   \item RK methods, \hyperpage{260}
   \item Robin, \hyperpage{274}
-  \item Robin boundary conditions, \hyperpage{367}
-  \item Rogers's lemma, \hyperpage{366}
+  \item Robin boundary conditions, \hyperpage{375}
+  \item Rogers's lemma, \hyperpage{374}
   \item Rolle's theorem, \hyperpage{30}
-  \item Romberg Extrapolation, \hyperpage{363}
+  \item Romberg Extrapolation, \hyperpage{371}
   \item Romberg method, \hyperpage{96}
   \item root, \hyperpage{12}
   \item root condition, \hyperpage{262}
   \item root of the reflection, \hyperpage{71}
   \item Root test, \hyperpage{26}, \hyperpage{76}
   \item rotation, \hyperpage{119}
-  \item rotation number, \hyperpage{338}
+  \item rotation number, \hyperpage{338, 339}
   \item Rouché's theorem, \hyperpage{119}
   \item Rouché-Frobenius theorem, \hyperpage{14}
   \item Routh-Hurwitz stability criterion, \hyperpage{227}
@@ -2302,7 +2296,6 @@
   \item ruled surface, \hyperpage{151}
   \item Runge's phenomenon, \hyperpage{94}
   \item Runge-Kutta-Fehlberg method, \hyperpage{260}
-  \item running cost, \hyperpage{383}
 
   \indexspace
 
@@ -2325,8 +2318,9 @@
   \item SAS criterion, \hyperpage{63, 64}
   \item scalars, \hyperpage{15}
   \item scale, \hyperpage{179}
-  \item Schaefer fixed point, \hyperpage{359}
-  \item Schauder fixed point, \hyperpage{359}
+  \item Schaefer fixed point, \hyperpage{361}
+  \item Schauder estimates, \hyperpage{359}
+  \item Schauder fixed point, \hyperpage{361}
   \item Schrödinger equation, \hyperpage{279}
   \item Schwartz space, \hyperpage{243}
   \item Schwarz lemma, \hyperpage{120}
@@ -2336,7 +2330,7 @@
   \item score function, \hyperpage{195}
   \item Score test, \hyperpage{202}
   \item score test, \hyperpage{202}
-  \item SDE, \hyperpage{379}
+  \item SDE, \hyperpage{387}
   \item Secant method, \hyperpage{90}
   \item secant-like method, \hyperpage{263}
   \item Second Borel-Cantelli lemma, \hyperpage{189}
@@ -2347,13 +2341,13 @@
   \item Second Sylow theorem, \hyperpage{41}
   \item section, \hyperpage{299}
   \item sectorial decomposition, \hyperpage{133}
-  \item seed, \hyperpage{360}
+  \item seed, \hyperpage{368}
   \item segment, \hyperpage{72}
   \item Segmented regression, \hyperpage{253}
   \item self-adjoint, \hyperpage{312}
-  \item self-conjugate, \hyperpage{304}
+  \item self-conjugate, \hyperpage{303}
   \item self-similar, \hyperpage{284}
-  \item semi-conjugate, \hyperpage{338}
+  \item semi-conjugate, \hyperpage{339}
   \item Semi-hyperbolic singular points classification theorem, 
 		\hyperpage{223}
   \item semi-stable, \hyperpage{136}
@@ -2367,7 +2361,7 @@
   \item Seminorm, \hyperpage{308}
   \item seminorm, \hyperpage{94}, \hyperpage{308}
   \item sensitive dependence on initial conditions, \hyperpage{230}, 
-		\hyperpage{336}
+		\hyperpage{337}
   \item Separability theorem, \hyperpage{168}
   \item separable, \hyperpage{168}, \hyperpage{301}
   \item Separable extension, \hyperpage{168}
@@ -2434,11 +2428,11 @@
   \item Slutsky's theorem, \hyperpage{190}
   \item small change, \hyperpage{279}
   \item Sobolev space, \hyperpage{289}
-  \item Sobolev spaces, \hyperpage{348}
+  \item Sobolev spaces, \hyperpage{350}
   \item solution, \hyperpage{90}, \hyperpage{139}
   \item solution of a system of equations, \hyperpage{13}
   \item solution of the ODE, \hyperpage{122}
-  \item solution of the SDE, \hyperpage{379}
+  \item solution of the SDE, \hyperpage{387}
   \item solvable, \hyperpage{41}, \hyperpage{170}
   \item solvable by radicals, \hyperpage{170}
   \item SOR, \hyperpage{100}
@@ -2446,11 +2440,11 @@
   \item space of rapidly decreasing functions, \hyperpage{243}
   \item special orthogonal group, \hyperpage{145}
   \item specific heat capacity, \hyperpage{278}
-  \item spectral methods, \hyperpage{369}
+  \item spectral methods, \hyperpage{377}
   \item spectral radius, \hyperpage{98}
   \item Spectral theorem, \hyperpage{24}, \hyperpage{313}
   \item spectral values, \hyperpage{309}
-  \item spectrum, \hyperpage{97}, \hyperpage{309}, \hyperpage{356}
+  \item spectrum, \hyperpage{97}, \hyperpage{309}, \hyperpage{357}
   \item sphere, \hyperpage{54}
   \item Spline, \hyperpage{94}
   \item spline, \hyperpage{94}
@@ -2464,7 +2458,7 @@
   \item stability region, \hyperpage{261}, \hyperpage{268}
   \item stabilizer, \hyperpage{40}
   \item stable, \hyperpage{136}, \hyperpage{261}, \hyperpage{269}, 
-		\hyperpage{274}, \hyperpage{328}
+		\hyperpage{273}, \hyperpage{328}
   \item stable degenerated node, \hyperpage{133}
   \item stable focus, \hyperpage{133}
   \item stable manifold, \hyperpage{222}
@@ -2497,10 +2491,10 @@
   \item stiff equations, \hyperpage{261}
   \item stiffness matrix, \hyperpage{276}
   \item Stirling's formula, \hyperpage{81}
-  \item stochastic differential, \hyperpage{377}
-  \item stochastic differential equation, \hyperpage{379}
-  \item Stochastic dominated convergence theorem, \hyperpage{376}
-  \item Stochastic integration by parts, \hyperpage{378}
+  \item stochastic differential, \hyperpage{385}
+  \item stochastic differential equation, \hyperpage{387}
+  \item Stochastic dominated convergence theorem, \hyperpage{384}
+  \item Stochastic integration by parts, \hyperpage{386}
   \item Stochastic matrix, \hyperpage{318}
   \item stochastic matrix, \hyperpage{318}
   \item Stochastic process, \hyperpage{316}
@@ -2510,8 +2504,8 @@
   \item Stokes' theorem, \hyperpage{62}
   \item Stolz-Cesàro theorem, \hyperpage{27}
   \item Stone-Weierstra\ss \ theorem, \hyperpage{304}
-  \item stopped process, \hyperpage{346}, \hyperpage{372}
-  \item stopping time, \hyperpage{321}, \hyperpage{346}
+  \item stopped process, \hyperpage{348}, \hyperpage{380}
+  \item stopping time, \hyperpage{321}, \hyperpage{348}
   \item strict Lyapunov function, \hyperpage{137}
   \item strictly concave, \hyperpage{30}
   \item strictly convex, \hyperpage{30}
@@ -2520,16 +2514,16 @@
   \item strictly diagonally dominant by rows, \hyperpage{99}
   \item strictly increasing, \hyperpage{26}, \hyperpage{28}
   \item Strong duality theorem, \hyperpage{52}
-  \item Strong error of the Euler scheme, \hyperpage{363}
+  \item Strong error of the Euler scheme, \hyperpage{371}
   \item Strong law of large numbers, \hyperpage{191}
   \item Strong law of large numbers for Brownian motion, 
-		\hyperpage{371}
+		\hyperpage{379}
   \item Strong Markov property, \hyperpage{321, 322}
-  \item Strong maximum principle, \hyperpage{358}
+  \item Strong maximum principle, \hyperpage{360}
+  \item Strong minimum principle, \hyperpage{360}
   \item strong solution, \hyperpage{354}
   \item strongly consistent estimator, \hyperpage{194}
-  \item strongly convex, \hyperpage{351}
-  \item strongly lower-semicontinuous, \hyperpage{347}
+  \item strongly lower-semicontinuous, \hyperpage{349}
   \item Structal stability, \hyperpage{336}
   \item Strum's sequence, \hyperpage{92}
   \item Student's $t$-distribution with $n$ degrees of freedom, 
@@ -2537,22 +2531,21 @@
   \item Sturm's sequence, \hyperpage{92}
   \item Sturm's theorem, \hyperpage{92}
   \item Sturm-Picone comparison theorem, \hyperpage{283}
-  \item sub-martingale, \hyperpage{371}
+  \item sub-martingale, \hyperpage{379}
   \item sub-multiplicativity, \hyperpage{97}
   \item subadditive, \hyperpage{338}
   \item subalgebra, \hyperpage{303}
   \item subbasis, \hyperpage{206}
   \item subcover, \hyperpage{213}
-  \item subdivision, \hyperpage{368}
+  \item subdivision, \hyperpage{376}
   \item subfield generated, \hyperpage{163}
-  \item subgradient descent method, \hyperpage{352}
   \item Subgroup, \hyperpage{37}
   \item subgroup, \hyperpage{37}
   \item subgroup generated, \hyperpage{37}
-  \item sublinear, \hyperpage{306}
+  \item sublinear, \hyperpage{305}
   \item submanifold, \hyperpage{146}
   \item submanifold with boundary, \hyperpage{157}
-  \item submartingale, \hyperpage{346}
+  \item submartingale, \hyperpage{348}
   \item Submersion, \hyperpage{146}
   \item submersion, \hyperpage{146}
   \item subordinated matrix norm, \hyperpage{97}
@@ -2575,13 +2568,16 @@
 		\hyperpage{107}
   \item sum of the series in an uniform sense, \hyperpage{78}, 
 		\hyperpage{107}
-  \item super-martingale, \hyperpage{371}
+  \item super-martingale, \hyperpage{379}
   \item superadditive, \hyperpage{338}
-  \item supermartingale, \hyperpage{346}
+  \item supermartingale, \hyperpage{348}
+  \item Superposition operator, \hyperpage{363}
+  \item superposition operator, \hyperpage{363}
+  \item superquadradicity condition, \hyperpage{366}
   \item support, \hyperpage{8}, \hyperpage{79}, \hyperpage{146}, 
 		\hyperpage{176}, \hyperpage{180}, \hyperpage{242}
-  \item support of $\mu $, \hyperpage{340}
-  \item support plane, \hyperpage{347}
+  \item support of $\mu $, \hyperpage{341}
+  \item support plane, \hyperpage{349}
   \item support points, \hyperpage{93}
   \item supremum, \hyperpage{25}
   \item Supremum axiom, \hyperpage{25}
@@ -2617,7 +2613,7 @@
   \item tangent line to the graph at the point $(x_0,f(x_0))$, 
 		\hyperpage{29}
   \item tangent plane, \hyperpage{147}
-  \item tangent process, \hyperpage{364}
+  \item tangent process, \hyperpage{372}
   \item tangent space, \hyperpage{147}, \hyperpage{156, 157}
   \item tangent vector, \hyperpage{141}, \hyperpage{147}, 
 		\hyperpage{156}
@@ -2630,7 +2626,6 @@
   \item Taylor's theorem, \hyperpage{57}
   \item tempered distribution, \hyperpage{244}
   \item tends to the boundary, \hyperpage{126}
-  \item terminal cost, \hyperpage{383}
   \item terminal point, \hyperpage{215}
   \item test, \hyperpage{200}
   \item test functions, \hyperpage{240}
@@ -2679,9 +2674,9 @@
   \item totally isotropic, \hyperpage{74}
   \item Tower formula, \hyperpage{165}
   \item tower of fields, \hyperpage{165}
-  \item Tower property, \hyperpage{346}
+  \item Tower property, \hyperpage{348}
   \item trace, \hyperpage{141}, \hyperpage{289}
-  \item trace operator, \hyperpage{350}
+  \item trace operator, \hyperpage{352}
   \item Trace theorem, \hyperpage{289}
   \item Traffic flow equation, \hyperpage{280}
   \item trail, \hyperpage{49}
@@ -2704,14 +2699,14 @@
   \item Trapezoidal rule, \hyperpage{95}
   \item traversable, \hyperpage{50}
   \item tree, \hyperpage{50}
-  \item trial functions, \hyperpage{369}
+  \item trial functions, \hyperpage{377}
   \item triangle, \hyperpage{160}
   \item Triangular inequality, \hyperpage{25}, \hyperpage{72}
   \item triangular inequality, \hyperpage{53}, \hyperpage{205}, 
 		\hyperpage{300}
   \item triangular system, \hyperpage{97}
   \item triangularization, \hyperpage{218}
-  \item triangulation, \hyperpage{368}
+  \item triangulation, \hyperpage{376}
   \item triple, \hyperpage{90}
   \item trivial $\sigma $-algebra, \hyperpage{172}
   \item Trivial topology, \hyperpage{206}
@@ -2719,7 +2714,7 @@
   \item truncated, \hyperpage{266}
   \item truncated Hilbert transform, \hyperpage{247}
   \item truncated singular value decomposition, \hyperpage{266}
-  \item Tsitsiklis-Van Roy method, \hyperpage{365}
+  \item Tsitsiklis-Van Roy method, \hyperpage{373}
   \item TSVD, \hyperpage{266}
   \item two times differentiable, \hyperpage{31}
   \item two times differentiable at $a$, \hyperpage{31}
@@ -2746,11 +2741,11 @@
   \item uniformly convergent, \hyperpage{117}
   \item uniformly elliptic, \hyperpage{354}
   \item uniformly equicontinuous, \hyperpage{125}, \hyperpage{304}
-  \item uniformly integrable, \hyperpage{346}
+  \item uniformly integrable, \hyperpage{348}
   \item uniformly most powerful, \hyperpage{200}
   \item union, \hyperpage{6}
   \item unique factorization domain, \hyperpage{45}
-  \item uniquely ergodic, \hyperpage{341}
+  \item uniquely ergodic, \hyperpage{342}
   \item Uniqueness of Dirichlet problem, \hyperpage{288}
   \item Uniqueness of the heat equation, \hyperpage{287}
   \item Uniqueness of the heat equation on the unbounded domains, 
@@ -2782,7 +2777,7 @@
   \indexspace
 
   \item Van der Pol oscillator, \hyperpage{228}
-  \item vanishes nowhere, \hyperpage{304}
+  \item vanishes nowhere, \hyperpage{303}
   \item variable, \hyperpage{11}
   \item variables, \hyperpage{13}
   \item Variacions with repetition, \hyperpage{10}
@@ -2821,14 +2816,15 @@
   \item wave equation, \hyperpage{140}
   \item wave function, \hyperpage{279}
   \item Weak duality theorem, \hyperpage{51}
-  \item Weak error of the Euler scheme, \hyperpage{363}
+  \item Weak error of the Euler scheme, \hyperpage{371}
   \item weak formulation, \hyperpage{275}, \hyperpage{354}
   \item Weak law of large numbers, \hyperpage{190}
-  \item Weak maximum principle, \hyperpage{357, 358}
+  \item Weak maximum principle, \hyperpage{358, 359}
+  \item Weak minimum principle, \hyperpage{358}, \hyperpage{360}
   \item weak solution, \hyperpage{354}
-  \item weak-* lower-semicontinuity, \hyperpage{347}
+  \item weak-* lower-semicontinuity, \hyperpage{349}
   \item weakly consistent estimator, \hyperpage{194}
-  \item weakly lower-semicontinuity, \hyperpage{347}
+  \item weakly lower-semicontinuity, \hyperpage{349}
   \item Weierstra\ss ' theorem, \hyperpage{55}, \hyperpage{114}, 
 		\hyperpage{214}
   \item Weierstra\ss \ approximation theorem, \hyperpage{79}
@@ -2841,13 +2837,15 @@
   \item well-ordered set, \hyperpage{9}
   \item well-posed, \hyperpage{258}
   \item well-posed in the Hadamard sense, \hyperpage{258}
-  \item Wiener integral, \hyperpage{374}
-  \item Wiener isometry, \hyperpage{374}
+  \item Wiener integral, \hyperpage{382}
+  \item Wiener isometry, \hyperpage{382}
   \item Wiener process, \hyperpage{330}
   \item winding number, \hyperpage{113}
   \item Wintner lemma, \hyperpage{126}
   \item Wirtinger operators, \hyperpage{111}
   \item Wirtinger's inequality, \hyperpage{87, 88}
+  \item With constraints, \hyperpage{362}
+  \item Without constraints, \hyperpage{362}, \hyperpage{364}
   \item Witt's theorem, \hyperpage{74}
 
   \indexspace
diff --git a/main_math.tex b/main_math.tex
index e2f76bf..48ff31c 100644
--- a/main_math.tex
+++ b/main_math.tex
@@ -111,7 +111,10 @@ \chapter{Fifth year}
 \subfile{Mathematics/5th/Advanced_topics_in_functional_analysis_and_PDEs/Advanced_topics_in_functional_analysis_and_PDEs.tex}
 \cleardoublepage
 
-\subfile{Mathematics/5th/Continuous_optimization/Continuous_optimization.tex}
+% \subfile{Mathematics/5th/Continuous_optimization/Continuous_optimization.tex}
+% \cleardoublepage
+
+\subfile{Mathematics/5th/Introduction_to_control_theory/Introduction_to_control_theory.tex}
 \cleardoublepage
 
 \subfile{Mathematics/5th/Introduction_to_nonlinear_elliptic_PDEs/Introduction_to_nonlinear_elliptic_PDEs.tex}
@@ -126,8 +129,8 @@ \chapter{Fifth year}
 \subfile{Mathematics/5th/Stochastic_calculus/Stochastic_calculus.tex}
 \cleardoublepage
 
-\subfile{Mathematics/5th/Stochastic_control/Stochastic_control.tex}
-\cleardoublepage
+% \subfile{Mathematics/5th/Stochastic_control/Stochastic_control.tex}
+% \cleardoublepage
 
 \printindex
 
diff --git a/preamble_general.sty b/preamble_general.sty
index 4cdb307..01c9fb9 100644
--- a/preamble_general.sty
+++ b/preamble_general.sty
@@ -74,6 +74,7 @@
       {NMPDE}{\apl} % Numerical methods for pdes
       {SCO}{\pro}   % Stochastic control
       {JP}{\pro}    % Jump processes
+      {ICT}{\ana}   % Introduction to control theory
   }{\col}%
 }
 \ExplSyntaxOff