\documentclass{article}
\usepackage{iftex}
\usepackage{ifthen}
\usepackage{epsfig}
\usepackage[utf8]{inputenc}
\usepackage{xcolor}
% Packages requested by user
\usepackage{amsmath}

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  \doxynewunicodechar{²}{${}^{2}$}% Superscript two
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\pagestyle{empty}
\begin{document}
$i$
\pagebreak

$x$
\pagebreak

$x_i$
\pagebreak

$|x|$
\pagebreak

$n$
\pagebreak

\[(x_0,x_1,\ldots,x_{n-1})
\]
\pagebreak

$0$
\pagebreak

$n-1$
\pagebreak

$\{0,1,\ldots,n-1\}$
\pagebreak

$(d_1,d_2,\ldots,d_{n-1})$
\pagebreak

$d_i=\operatorname{abs}(x_i-x_{i-1})$
\pagebreak

$\{1,2,\ldots,n-1\}$
\pagebreak

\[ r = a+b\theta \]
\pagebreak

$y$
\pagebreak

$r$
\pagebreak

$\theta$
\pagebreak

$a=1$
\pagebreak

$b=1$
\pagebreak

\[ r = \theta \]
\pagebreak

\[ x=r\operatorname{cos}(\theta),
\quad y=r\operatorname{sin}(\theta) \]
\pagebreak

$(r,\theta)$
\pagebreak

$[-20;20]$
\pagebreak

$x=\langle
x_1,x_2,\ldots,x_n\rangle$
\pagebreak

$val$
\pagebreak

\[x^2+2\left(y-p\times\operatorname{abs}(x)^{\frac{1}{q}}\right)^2 = 1
\]
\pagebreak

$p=0.5$
\pagebreak

$q=2$
\pagebreak

\[x^2+2\left(y-\frac{\operatorname{abs}(x)^{\frac{1}{2}}}{2}\right)^2 = 1
\]
\pagebreak

$(x = y \land z = y) \lor (x
\neq y \land z = 0)$
\pagebreak

$\langle x, y,
zq\rangle$
\pagebreak

$ n $
\pagebreak

$ 2n-1 $
\pagebreak

$ k $
\pagebreak

\[x^3 + y^3 - 3axy = 0
\]
\pagebreak

$y=px$
\pagebreak

$p$
\pagebreak

\[x^3 + y^3 - 3xy = 0
\]
\pagebreak

\[x=\frac{3p}{1+p^3},\quad y=\frac{3p^2}{1+p^3}
\]
\pagebreak

$[-1;2]$
\pagebreak

$\lambda$
\pagebreak

$q\cdot\lambda$
\pagebreak

$\frac{v(v-1)}{2}$
\pagebreak

$\phi=1,618$
\pagebreak

\[r = ae^{b\theta}
\]
\pagebreak

\[\operatorname{abs}(b) = \frac{\operatorname{ln}(\phi)}{\frac{\pi}{2}}
\]
\pagebreak

\[r = e^{0.30649\times\theta}
\]
\pagebreak

\[x=r\operatorname{cos}(\theta), \quad y=r\operatorname{sin}(\theta)
\]
\pagebreak

\[x_0,x_1, \ldots, x_{n-1}\]
\pagebreak

$i=0,\ldots,n-1$
\pagebreak

$0^*11000100010^*$
\pagebreak

$0^*1100001000010^*$
\pagebreak

$0^*1001110^*$
\pagebreak

$0^*1100001000010^*|0^*1001110^*$
\pagebreak

$(0|2|3)$
\pagebreak

$(0|2|3)^*1(0|2|3)(0|2|3)111(0|2|3)^*$
\pagebreak

${1,\ldots,n}$
\pagebreak

$c$
\pagebreak

$\langle x, y, z\rangle$
\pagebreak

$x+y = z$
\pagebreak

$c=3$
\pagebreak

$n < 14$
\pagebreak

$ t $
\pagebreak

$ t - 1 $
\pagebreak

$ \displaystyle\frac{t}{2} $
\pagebreak

$ \langle 1,2 \rangle \cup
\{\langle p + 2, t - p + 1\rangle | p \geq 1\}$
\pagebreak

$ \langle h, a, g \rangle $
\pagebreak

$ \langle h', a'\rangle $
\pagebreak

$ h' = \left\{
 \begin{tabular}{l c l}
  1 & & if $h = 1$ \\
  2 & & if $h = t$ \\
  $h + 1$ & & otherwise
 \end{tabular}\right.
$
\pagebreak

$ a' = \left\{
 \begin{tabular}{l c l}
  2 & & if $h = t$ \\
  a + 1 & & otherwise
 \end{tabular}\right.
$
\pagebreak

$\pi/2$
\pagebreak

$\pi$
\pagebreak

$2\pi$
\pagebreak

$ [-\infty;+\infty][-\infty;+\infty]$
\pagebreak

$ [-\infty;+\infty] [-\infty;+\infty]$
\pagebreak

$ [-\infty;+\infty] ([-\infty;+\infty]-{0})   $
\pagebreak

$ [-\infty;+\infty] ([-\infty;+\infty]-{0})$
\pagebreak

$ ]0;+\infty]   $
\pagebreak

$ ]0;+\infty]$
\pagebreak

$ [-\infty;+\infty]$
\pagebreak

$ [-\infty;+\infty] $
\pagebreak

$ [0;2\pi]$
\pagebreak

$ ]-\pi/2;\pi/2[$
\pagebreak

$ [-1;1]$
\pagebreak

$ [1;+\infty]$
\pagebreak

$0\leq i<n: x_i=\text{start}+i\cdot\text{inc}$
\pagebreak

$x=n$
\pagebreak

$ x_i=n$
\pagebreak

$0\leq i<|x|$
\pagebreak

$ l\leq x\leq u$
\pagebreak

$ l\leq x_i\leq u$
\pagebreak

$ (x=n) \equiv r$
\pagebreak

$ (l\leq x \leq u) \equiv r$
\pagebreak

$ x_i $
\pagebreak

$ d_i $
\pagebreak

$ x_0 \sim_{frt} x_1$
\pagebreak

$ x \sim_{frt} c$
\pagebreak

$(x \sim_{frt} c)\equiv r$
\pagebreak

$(x_0 \sim_{frt} x_1)\equiv r$
\pagebreak

$ x_i \sim_{frt} c $
\pagebreak

$ x_i \sim_{frt} y $
\pagebreak

$ z = b ? x : y $
\pagebreak

$=$
\pagebreak

$\neq$
\pagebreak

$\leq$
\pagebreak

$<$
\pagebreak

$\geq$
\pagebreak

$>$
\pagebreak

$ \min\{x_0,x_1\}=x_2$
\pagebreak

$ \min x=y$
\pagebreak

$ \max\{x_0,x_1\}=x_2$
\pagebreak

$ \max x=y$
\pagebreak

$ |x_0|=x_1$
\pagebreak

$x_0\cdot x_1=x_2$
\pagebreak

$x_0\cdot x_0=x_1$
\pagebreak

$\sqrt{x_0}=x_1$
\pagebreak

${x_0}^{n}=x_1$
\pagebreak

${x_0}^{1/n}=x_1$
\pagebreak

$x_0\ \mathrm{div}\ x_1=x_2$
\pagebreak

$ \mathrm{exp}(x_0)=x_1$
\pagebreak

$ \mathrm{log}_e(x_0)=x_1$
\pagebreak

$ \mathit{base}^{x_0}=x_1$
\pagebreak

$ \mathrm{log}_{\mathit{base}}(x_0)=x_1$
\pagebreak

$ \mathrm{asin}(x_0)=x_1$
\pagebreak

$ \mathrm{sin}(x_0)=x_1$
\pagebreak

$ \mathrm{acos}(x_0)=x_1$
\pagebreak

$ \mathrm{cos}(x_0)=x_1$
\pagebreak

$ \mathrm{atan}(x_0)=x_1$
\pagebreak

$ \mathrm{tan}(x_0)=x_1$
\pagebreak

$\sum_{i=0}^{|x|-1}x_i\sim_{frt} c$
\pagebreak

$\sum_{i=0}^{|x|-1}x_i\sim_{frt} y$
\pagebreak

$\left(\sum_{i=0}^{|x|-1}x_i\sim_{frt} c\right)\equiv r$
\pagebreak

$\left(\sum_{i=0}^{|x|-1}x_i\sim_{frt} y\right)\equiv r$
\pagebreak

$\sum_{i=0}^{|x|-1}a_i\cdot x_i\sim_{frt} c$
\pagebreak

$\sum_{i=0}^{|x|-1}a_i\cdot x_i\sim_{frt} y$
\pagebreak

$\left(\sum_{i=0}^{|x|-1}a_i\cdot x_i\sim_{frt} c\right)\equiv r$
\pagebreak

$\left(\sum_{i=0}^{|x|-1}a_i\cdot x_i\sim_{frt} y\right)\equiv r$
\pagebreak

$ x_0 = x_1$
\pagebreak

$x_0\times x_1=x_0$
\pagebreak

$x_0^2 = x_1$
\pagebreak

$ |x_0| = x_1$
\pagebreak

$x_0^n = x_1$
\pagebreak

$x_0^(1/n) = x_1$
\pagebreak

$x_0\cdot x_1=x_0$
\pagebreak

$ x_0 / x_1 = x_2$
\pagebreak

$ min(x_0, x_1) = x_2$
\pagebreak

$ max(x_0, x_1) = x_2$
\pagebreak

$ int(x_0) = x_1$
\pagebreak

$\sum_{i=0}^{|x|-1}x_i-\sum_{i=0}^{|y|-1}y_i=c$
\pagebreak

$\sum_{i=0}^{|x|-1}x_i-\sum_{i=0}^{|y|-1}y_i\leq c$
\pagebreak

$a\cdot x$
\pagebreak

$\sum_{i=0}^{n-1}t_i + c$
\pagebreak

$ax+bx$
\pagebreak

$(a+b)x$
\pagebreak

$ x_0 = x_1=\ldots =x_{|x|-1}$
\pagebreak

$ (x_0 = x_1)\Leftrightarrow b$
\pagebreak

$ (x = c)\Leftrightarrow b$
\pagebreak

$ x_0 \neq x_1$
\pagebreak

$ x_0 \neq c$
\pagebreak

$x_0 \leq x_1$
\pagebreak

$x_0 \le x_1$
\pagebreak

$ (x \leq c)\Leftrightarrow b$
\pagebreak

$ (x < c)\Leftrightarrow b$
\pagebreak

$ (x_0 \leq x_1)\Leftrightarrow b$
\pagebreak

$e^{x_0} = x_1$
\pagebreak

$\mathit{base}^{x_0} = x_1$
\pagebreak

$sin(x_0) = x_1$
\pagebreak

$cos(x_0) = x_1$
\pagebreak

$asin(x_0) = x_1$
\pagebreak

$acos(x_0) = x_1$
\pagebreak

$tan(x_0) = x_1$
\pagebreak

$atan(x_0) = x_1$
\pagebreak

$m$
\pagebreak

$-x$
\pagebreak

$o$
\pagebreak

$x+c$
\pagebreak

$s$
\pagebreak

$a$
\pagebreak

$b\cdot y$
\pagebreak

$b$
\pagebreak

$b=1\Leftrightarrow c$
\pagebreak

$b=1\Leftarrow c$
\pagebreak

$b=1\Rightarrow c$
\pagebreak

$ l\leq x\leq m$
\pagebreak

$ l\leq x_i\leq m$
\pagebreak

$ x\in s $
\pagebreak

$ x_i\in s$
\pagebreak

$ (l\leq x \leq m) \equiv r$
\pagebreak

$ (x \in s) \equiv r$
\pagebreak

$ x_0 \sim_{irt} x_1$
\pagebreak

$ x_i \sim_{irt} y $
\pagebreak

$ x \sim_{irt} c$
\pagebreak

$ x_i \sim_{irt} c $
\pagebreak

$ (x_0 \sim_{irt} x_1)\equiv r$
\pagebreak

$(x \sim_{irt} c)\equiv r$
\pagebreak

$(x_0 \sim_{irt} x_1)\equiv r$
\pagebreak

$ x \sim_{irt} n$
\pagebreak

$(x \sim_{irt} n)\equiv r$
\pagebreak

$ x_i \sim_{irt} n $
\pagebreak

$ x_0 \diamond_{\mathit{o}} x_1 = x_2$
\pagebreak

$ x_0 \diamond_{\mathit{o}} x_1 = n$
\pagebreak

$ x_0 \diamond_{\mathit{o}} \cdots
\diamond_{\mathit{o}} x_{|x|-1}= y$
\pagebreak

$|x|<2$
\pagebreak

$ x_0 \diamond_{\mathit{o}} \cdots
\diamond_{\mathit{o}} x_{|x|-1}= n$
\pagebreak

$ x_0 \diamond_{\mathit{o}} \cdots
\diamond_{\mathit{o}} x_{|x|-1} \diamond_{\mathit{o}} \neg y_0
\diamond_{\mathit{o}} \cdots \diamond_{\mathit{o}} \neg y_{|y|-1}= z$
\pagebreak

$ x_0 \diamond_{\mathit{o}} \cdots
\diamond_{\mathit{o}} x_{|x|-1} \diamond_{\mathit{o}} \neg y_0
\diamond_{\mathit{o}} \cdots \diamond_{\mathit{o}} \neg y_{|y|-1}= n$
\pagebreak

$x_0\neq t$
\pagebreak

$x_j=t \to \bigvee_{0\leq i<j} x_i=s$
\pagebreak

$0\leq j<|x|$
\pagebreak

$x_0\neq c_k$
\pagebreak

$0<k<|c|$
\pagebreak

$x_j=c_{k} \to \bigvee_{0\leq i<j} x_i=c_{k-1}$
\pagebreak

$0< k<|c|$
\pagebreak

$y\in \{x_0,\ldots,x_{|x|-1}\}$
\pagebreak

$\left(y\in \{x_0,\ldots,x_{|x|-1}\}\right)\equiv r$
\pagebreak

$ n_{x_0}=x_1$
\pagebreak

$ x_{y_0}=y_1$
\pagebreak

$ a_{x+w\cdot y}=z$
\pagebreak

$ w\cdot h\neq|a|$
\pagebreak

$ x_i\neq x_j$
\pagebreak

$0\leq i\neq j<|x|$
\pagebreak

$ x_i+n_i\neq x_j+n_j$
\pagebreak

$ b_i=1\wedge b_j=1\to x_i\neq x_j$
\pagebreak

$(\max_{i=0,\ldots,|x|-1} \max(x_i))+|x|$
\pagebreak

$(\min_{i=0,\ldots,|x|-1} \min(x_i))-|x|$
\pagebreak

$ x_i=c\vee x_j=c\vee x_i\neq x_j$
\pagebreak

$ x_i = j\leftrightarrow y_j=i$
\pagebreak

$ x_i - \mathit{xoff} = j\leftrightarrow y_j - \mathit{yoff} = i$
\pagebreak

$ x_i = 1\leftrightarrow y=i+o$
\pagebreak

$\forall i\in\{0,\dots,|x|-1\}: x_i=y_{z_i} $
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=n\}\sim_{irt} m$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i\in y\}\sim_{irt} m$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=y\}\sim_{irt} m$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=y_i\}\sim_{irt} m$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=n\}\sim_{irt} z$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i\in y\}\sim_{irt} z$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=y\}\sim_{irt} z$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=y_i\}\sim_{irt} z$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=j\}=c_j$
\pagebreak

$ \bigcup_i \{x_i\} \subseteq \{0,\ldots,|c|-1\}$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=j\}\in c_j$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=v_j\}=c_j$
\pagebreak

$ \bigcup_i \{x_i\} \subseteq \bigcup_j \{v_j\}$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=v_j\}\in c_j$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=v_j\}\in c$
\pagebreak

$\#\{x_0,\ldots,x_{|x|-1}\}\sim_{irt} y$
\pagebreak

$\operatorname{sequence}(x,s,q,l,u)$
\pagebreak

$\bigwedge_{i=0}^{|x|-q}
     \operatorname{among}(\langle x_i,\ldots,x_{i+q-1}\rangle,s,l,u)$
\pagebreak

$l\leq\#\{j\in\{i,\ldots,i+q-1\}\;|\;x_j\in s\} \leq u$
\pagebreak

$|x|=0$
\pagebreak

$q < 1 \vee q > |x|$
\pagebreak

$x\in t$
\pagebreak

$x\not\in t$
\pagebreak

$(x\in t)\equiv r$
\pagebreak

$(x\not\in t)\equiv r$
\pagebreak

$ \operatorname{argmin}(x)=y$
\pagebreak

$ \operatorname{argmin}(x)+o=y$
\pagebreak

$ \operatorname{argmax}(x)=y$
\pagebreak

$ \operatorname{argmax}(x)+o=y$
\pagebreak

$ \operatorname{argmin}(x)-o=y$
\pagebreak

$ \operatorname{argmax}(x)-o=y$
\pagebreak

$x_0\ \mathrm{div}\ x_1=x_2 \land x_0\ \mathrm{mod}\ x_1 = x_3$
\pagebreak

$x_0\ \mathrm{mod}\ x_1=x_2$
\pagebreak

$x_0^2=x_1$
\pagebreak

$\lfloor\sqrt{x_0}\rfloor=x_1$
\pagebreak

$x_0^n=x_1$
\pagebreak

$\lfloor\sqrt[n]{x_0}\rfloor=x_1$
\pagebreak

$(a+b)$
\pagebreak

$\sum_{i=0}^{|x|-1}a_i\cdot x_i\sim_{irt} c$
\pagebreak

$|c|+\sum_{i=0}^{|x|-1}a_i\cdot x_i$
\pagebreak

$2^{48}$
\pagebreak

$\sum_{i=0}^{|x|-1}x_i\sim_{irt} c$
\pagebreak

$\sum_{i=0}^{|x|-1}x_i\sim_{irt} y$
\pagebreak

$\left(\sum_{i=0}^{|x|-1}x_i\sim_{irt} c\right)\equiv r$
\pagebreak

$\left(\sum_{i=0}^{|x|-1}x_i\sim_{irt} y\right)\equiv r$
\pagebreak

$\sum_{i=0}^{|x|-1}a_i\cdot x_i\sim_{irt} y$
\pagebreak

$\left(\sum_{i=0}^{|x|-1}a_i\cdot x_i\sim_{irt} c\right)\equiv r$
\pagebreak

$\left(\sum_{i=0}^{|x|-1}a_i\cdot x_i\sim_{irt} y\right)\equiv r$
\pagebreak

$j$
\pagebreak

$0\leq j<|l|$
\pagebreak

$l_j=\sum_{0\leq i<|b|\wedge b_i=j}s_i$
\pagebreak

$0\leq i<|b|$
\pagebreak

$0\leq b_i<|l|$
\pagebreak

$x0_i+w_i=x1_i$
\pagebreak

$y0_i+h_i=y1_i$
\pagebreak

$0\leq i<|x0|$
\pagebreak

$s_0$
\pagebreak

$s_1$
\pagebreak

$p_0$
\pagebreak

$p_1$
\pagebreak

$s_i+p_i=e_i$
\pagebreak

$ m_i $
\pagebreak

$ i $
\pagebreak

$ s_i $
\pagebreak

$ p_i $
\pagebreak

$ e_i $
\pagebreak

$ u_i $
\pagebreak

$ c_r $
\pagebreak

$ r $
\pagebreak

$i\to j$
\pagebreak

$x_i=j$
\pagebreak

$x_{i-\text{offset}}=j$
\pagebreak

$c_{i*|x|+j}$
\pagebreak

$y_i=c_{i*n+j}$
\pagebreak

$|x|\times|x|\neq|c|$
\pagebreak

$|x|+\text{offset}$
\pagebreak

$ \operatorname{argmax} x=y$
\pagebreak

$x^2$
\pagebreak

$\lfloor \sqrt{x}\rfloor$
\pagebreak

$n>0$
\pagebreak

$\lceil \sqrt{x}\rceil$
\pagebreak

$r^n>x$
\pagebreak

$r^n<x$
\pagebreak

$x^n$
\pagebreak

$\lfloor \sqrt[n]{x}\rfloor$
\pagebreak

$\lceil \sqrt[n]{x}\rceil$
\pagebreak

$x_0\mathrm{div} x_1=x_2$
\pagebreak

$x_1\neq 0 \land (x_2\neq 0\Rightarrow x_0\times x_2>0) \land \mathrm{abs}(x_2)<\mathrm{abs}(x_1)$
\pagebreak

$ b_0 \leq b_1$
\pagebreak

$ x_0 \leq x_1 \leq \cdots \leq x_{|x|-1}$
\pagebreak

$ b_0 < b_1$
\pagebreak

$ b_0 \lor b_1 = 1 $
\pagebreak

$ b_0 \lor b_1 \lor b_2 = 1 $
\pagebreak

$ b_0 \lor b_1 \lor b_2 \lor b_3 = 1 $
\pagebreak

$ b_0 \lor b_1 = b_2 $
\pagebreak

$ \bigvee_{i=0}^{|x|-1} x_i = y$
\pagebreak

$ \bigvee_{i=0}^{|b|-1} b_i = 0$
\pagebreak

$ b_0 \Leftrightarrow b_1 = b_2 $
\pagebreak

$ x_0 \Leftrightarrow x_1 \Leftrightarrow \cdots \Leftrightarrow x_{|x|-1}=p$
\pagebreak

$ \bigvee_{i=0}^{|x|-1} x_i \vee \bigvee_{i=0}^{|x|-1} y_i = z$
\pagebreak

$ \bigvee_{i=0}^{|x|-1} x_i \vee \bigvee_{i=0}^{|y|-1} y_i = 1$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=y\}=c$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=y\}\geq c$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=y\}\leq c$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=y\}=z+c$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=y\}\leq z+c$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=y\}\geq z+c$
\pagebreak

$x_1=(x_0 = c_0) ? c_1 : x_0$
\pagebreak

$\lceil x/y\rceil$
\pagebreak

$\lfloor x/y\rfloor$
\pagebreak

$ (l\leq x \leq m) \Leftrightarrow b$
\pagebreak

$ (x \in d) \Leftrightarrow b$
\pagebreak

$i_{x_0}=x_1$
\pagebreak

$iv_{x_0}=x_1$
\pagebreak

$x_0+x_1\cdot w=x_2$
\pagebreak

$ \forall j \in \{0, \dots, |k|-1\}:
\#\{i\in\{0, \dots, |x| - 1\} | x_i = card(k_j)\} \geq min(k_j)$
\pagebreak

$ \mu $
\pagebreak

$ \forall i\in \{0, \dots, |x|-2\}:
       max(x_{\mu(i)}) \leq max(x_{\mu(i+1)})$
\pagebreak

$ \nu $
\pagebreak

$ \forall i\in \{0, \dots, |x|-2\}:
       min(x_{\mu(i)}) \leq min(x_{\mu(i+1)})$
\pagebreak

$ \forall j \in \{0, \dots, |k|-1\}:
\#\{i\in\{0, \dots, |x| - 1\} | x_i = card(k_j)\} \leq max(k_j)$
\pagebreak

$ x \subseteq y $
\pagebreak

$ x_j$
\pagebreak

$ rank[i].min = z
\Leftrightarrow min(x_i) = hall[z].bounds $
\pagebreak

$ rank[i].max = z
\Leftrightarrow max(x_i) = hall[z].bounds $
\pagebreak

$ t_i $
\pagebreak

$ e(x,v) $
\pagebreak

$e(x,v)$
\pagebreak

$ v_i\in V=\left(\bigcup_\{0, \dots, |x|-1\}\right) D_i $
\pagebreak

$ |V| = \left(\bigcup_\{0, \dots, |x|-1\}\right) D_i $
\pagebreak

$sum_min = \sum_{v_i \in V} l_i= k[i].min() $
\pagebreak

$sum_max = \sum_{v_i \in V} l_i= k[i].max() $
\pagebreak

$|M|= |X|$
\pagebreak

$|M|= \sum_{i\in \{ 0, \dots, |X|-1\}}
  k[i].min()$
\pagebreak

$x_0+x_1 = c$
\pagebreak

$(x_0+x_1 = c)\equiv \operatorname{rm}(b)$
\pagebreak

$x_0+x_1 \neq c$
\pagebreak

$x_0+x_1 \leq c$
\pagebreak

$x_0+x_1 \geq c$
\pagebreak

$(x_0+x_1 \leq c)\equiv \operatorname{rm}(b)$
\pagebreak

$x_0+x_1+x_2 = c$
\pagebreak

$x_0+x_1+x_2 \neq c$
\pagebreak

$x_0+x_1+x_2 \leq c$
\pagebreak

$\left(\sum_{i=0}^{|x|-1}x_i-\sum_{i=0}^{|y|-1}y_i=c\right)\equiv \operatorname{rm}(b)$
\pagebreak

$\sum_{i=0}^{|x|-1}x_i-\sum_{i=0}^{|y|-1}y_i\neq c$
\pagebreak

$\left(\sum_{i=0}^{|x|-1}x_i-\sum_{i=0}^{|y|-1}y_i\leq c\right)\equiv \operatorname{rm}(b)$
\pagebreak

$\sum_{i=0}^{|x|-1}x_i = c$
\pagebreak

$\sum_{i=0}^{|x|-1}x_i \geq c$
\pagebreak

$\sum_{i=0}^{|x|-1}x_i \neq c$
\pagebreak

$\left(\sum_{i=0}^{|x|-1}x_i \geq\right) c \equiv \operatorname{rm}(b)$
\pagebreak

$\left(\sum_{i=0}^{|x|-1}x_i = c\right)\equiv \operatorname{rm}(b)$
\pagebreak

$\sum_{i=0}^{|x|-1}x_i = y+c$
\pagebreak

$\sum_{i=0}^{|x|-1}x_i \neq y+c$
\pagebreak

$\sum_{i=0}^{|x|-1}x_i \geq y+c$
\pagebreak

$y\in vs\cup \{x_0,\ldots,x_{|x|-1}\}$
\pagebreak

$\left(y\in \{x_0,\ldots,x_{|x|-1}\}\right)\Leftrightarrow b$
\pagebreak

$\#\{x_0,\ldots,x_{|x|-1}\}=y$
\pagebreak

$\#\{x_0,\ldots,x_{|x|-1}\}\leq y$
\pagebreak

$\#\{x_0,\ldots,x_{|x|-1}\}\geq y$
\pagebreak

$ x_0 +c\leq x_1+c\leq\cdots \leq x_{|x|-1}$
\pagebreak

$ \neg\left(x_0=x_1=\cdots=x_{|x|-1}\right)$
\pagebreak

$x_0\neq x_1$
\pagebreak

$ x\neq y$
\pagebreak

$[i_0,\dots, i_{n-1}]$
\pagebreak

$D_{i_0} \leq\dots\leq D_{i_{n-1}}$
\pagebreak

$ D_{i_0}$
\pagebreak

$y_j$
\pagebreak

$x_{\phi(j)}$
\pagebreak

$e_1(y_j, x_{\phi(j)})$
\pagebreak

$e_2(x_{\phi(j)},y_j)$
\pagebreak

$[ y_{j_0},x_{\phi(j_0)},\dots,y_{j_k},x_{\phi(j_k)}]$
\pagebreak

$ S_i \geq E_l $
\pagebreak

$y_l$
\pagebreak

$ S_i \leq  E_h $
\pagebreak

$y_h$
\pagebreak

$\phi$
\pagebreak

$T_j=min(E_j, D_{\phi(j)})$
\pagebreak

$\phi'$
\pagebreak

$T_j=max(E_j, D_{\phi'(j)})$
\pagebreak

$\sigma$
\pagebreak

$\tau$
\pagebreak

$\forall i\in\{0,\dots, n-1\}: min(y_0) \leq \dots \leq min(y_{n-1}) \wedge
 max(y_0) \leq \dots \leq max(y_{n-1})$
\pagebreak

$x_j$
\pagebreak

$\neg b$
\pagebreak

$\min(n,m)$
\pagebreak

$\max(n,m)-\min(n,m)$
\pagebreak

$0\leq i<n$
\pagebreak

$y_i=x_{\text{start}+i\cdot\text{inc}}$
\pagebreak

$ x=n$
\pagebreak

$ l\leq x \leq m$
\pagebreak

$ x \in s$
\pagebreak

$ x \sim_{rt} \{i\}$
\pagebreak

$ x \sim_{rt} \{i,\dots,j\}$
\pagebreak

$ x \sim_{rt} s$
\pagebreak

$ l\leq x \leq u$
\pagebreak

$|s|\geq 1 \land \forall i\in s:\ i=x$
\pagebreak

$|s|\geq 1 \land \forall i\in s:\ x=i$
\pagebreak

$|s|\geq 1 \land \forall i\in s:\ i\neq x$
\pagebreak

$|s|\geq 1 \land \forall i\in s:\ x\neq i$
\pagebreak

$|s|\geq 6 \land \forall i\in s:\ i\leq x$
\pagebreak

$|s|\geq 1 \land \forall i\in s:\ x\leq i$
\pagebreak

$|s|\geq 1 \land \forall i\in s:\ i<x$
\pagebreak

$|s|\geq 1 \land \forall i\in s:\ x<i$
\pagebreak

$|s|\geq 1 \land \forall i\in s:\ i\geq x$
\pagebreak

$|s|\geq 1 \land \forall i\in s:\ x\geq i$
\pagebreak

$|s|\geq 1 \land \forall i\in s:\ i>x$
\pagebreak

$|s|\geq 1 \land \forall i\in s:\ x>i$
\pagebreak

$x\cdot y$
\pagebreak

$x\ \mathrm{div}\ y$
\pagebreak

$x\ \mathrm{mod}\ y$
\pagebreak

$|e|$
\pagebreak

$\min(x,y)$
\pagebreak

$\min(x)$
\pagebreak

$\max(x,y)$
\pagebreak

$\max(x)$
\pagebreak

$\lfloor\sqrt{x}\rfloor$
\pagebreak

$\lfloor\sqrt[n]{x}\rfloor$
\pagebreak

$x[y]$
\pagebreak

$b?x:y$
\pagebreak

$x/y$
\pagebreak

$\sqrt{x}$
\pagebreak

$x^{1/n}$
\pagebreak

$ \mathrm{exp}(x)$
\pagebreak

$ \mathrm{log}(x)$
\pagebreak

$ \mathrm{asin}(x)$
\pagebreak

$ \mathrm{sin}(x)$
\pagebreak

$ \mathrm{acos}(x)$
\pagebreak

$ \mathrm{cos}(x)$
\pagebreak

$ \mathrm{atan}(x)$
\pagebreak

$ \mathrm{tan}(x)$
\pagebreak

$f$
\pagebreak

$\{x_0,\dots,x_{n-1}\}$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=n\}\leq m$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=y\}\leq m$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=y_i\}\leq m$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=n\}\leq z$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=y\}\leq z$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=y_i\}\leq z$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=n\}\geq m$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=y\}\geq m$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=y_i\}\geq m$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=n\}\geq z$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=y\}\geq z$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=y_i\}\geq z$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=n\}=m$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=y\}=m$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=y_i\}=m$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=n\}=z$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=y\}=z$
\pagebreak

$\#\{i\in\{0,\ldots,|x|-1\}\;|\;x_i=y_i\}=z$
\pagebreak

$\{x_0,\dots,x_{n-1}\}=y$
\pagebreak

$\bigcup_{i\in y}\{x_i\}=z$
\pagebreak

$\bigcup_{i\in z}\{j\ |\ x_j=i\}=z$
\pagebreak

$[fc,tc)$
\pagebreak

$[fr,tr)$
\pagebreak

$1 \leq n$
\pagebreak

$n \leq -1$
\pagebreak

$m + n$
\pagebreak

$-n$
\pagebreak

$0<n<1$
\pagebreak

$n \times m$
\pagebreak

$-1 <n<0$
\pagebreak

$(1+n)\times m$
\pagebreak

$\{\mathit{glbMin},\dots,\mathit{glbMax}\}$
\pagebreak

$\{\mathit{lubMin},\dots,\mathit{lubMax}\}$
\pagebreak

$x\leq y$
\pagebreak

$x\ominus y$
\pagebreak

$ x \sim_r \{i\}$
\pagebreak

$ x_i \sim_r \{i\}$
\pagebreak

$ x \sim_r \{i,\dots,j\}$
\pagebreak

$ x \sim_r s$
\pagebreak

$ i \leq |s| \leq j $
\pagebreak

$ (x \sim_{rt} \{i\}) \equiv r $
\pagebreak

$ (x \sim_{rt} \{i,\dots,j\}) \equiv r $
\pagebreak

$ (x \sim_{rt} s) \equiv r $
\pagebreak

$ x \sim_r y$
\pagebreak

$ (x \sim_{rt} y) \equiv r$
\pagebreak

$ s \sim_r \{x\}$
\pagebreak

$ \{x\} \sim_r s$
\pagebreak

$ (s \sim_{rt} \{x\}) \equiv r$
\pagebreak

$ (\{x\} \sim_{rt} s) \equiv r $
\pagebreak

$|s|\geq 1 \land \forall i\in s:\ i \sim_{rt} x$
\pagebreak

$|s|\geq 1 \land \forall i\in s:\ x \sim_{rt} i$
\pagebreak

$\left(|s|\geq 1 \land \forall i\in s:\ i \sim_{rt} x\right)\equiv r$
\pagebreak

$\subseteq$
\pagebreak

$\supseteq$
\pagebreak

$\parallel$
\pagebreak

$ (x \diamond_{\mathit{op}} y) \sim_r z $
\pagebreak

$ y = \diamond_{\mathit{op}} x$
\pagebreak

$ y = \diamond_{\mathit{op}} x \diamond_{\mathit{op}} z$
\pagebreak

$\forall 0\leq i< |x|-1 : \max(x_i)<\min(x_{i+1})$
\pagebreak

$ x = \bigcup_{i\in\{0,\dots,n-1\}} y_i $
\pagebreak

$\forall 0\leq i\leq |x| : |x_i|=c$
\pagebreak

$\forall 0\leq i<j\leq |x| : |x_i\cap x_j|\leq 1$
\pagebreak

$ |s|=x $
\pagebreak

$ |s|=x \equiv r$
\pagebreak

$y = \mathrm{weight}(x)$
\pagebreak

$\mathrm{weight}(\mathrm{elements}_i) = \mathrm{weights}_i$
\pagebreak

$x_i=j \Leftrightarrow i\in y_j$
\pagebreak

$x_i<x_{i+1}$
\pagebreak

$x_i=1 \Leftrightarrow i\in y$
\pagebreak

$j\in x_i \Leftrightarrow i\in y_j$
\pagebreak

$s\notin x_j\land t\in x_j$
\pagebreak

$i<j$
\pagebreak

$s\in x_i\land t\notin x_i$
\pagebreak

$ \langle x_0,\dots, x_{n-1} \rangle $
\pagebreak

$ [y] $
\pagebreak

$ z=\diamond_{\mathit{op}}\langle x_0,\dots,x_{n-1}\rangle[y] $
\pagebreak

$ z=\diamond_{\mathit{op}}\langle \{x_0\},\dots,\{x_{n-1}\}\rangle[y] $
\pagebreak

$ z=\langle x_0,\dots,x_{n-1}\rangle[y] $
\pagebreak

$ z=\langle s_0,\dots,s_{n-1}\rangle[y] $
\pagebreak

$x_0,\dots,x_n$
\pagebreak

$y_0,\dots,y_m$
\pagebreak

$j\in x_i \Leftrightarrow i\in y_i$
\pagebreak

$ z=\bigcap\langle x_0,\dots,x_{n-1}\rangle[y] $
\pagebreak

$ z=\bigcup\langle x_0,\dots,x_{n-1}\rangle[y] $
\pagebreak

$ z=\bigcup\langle s_0,\dots,s_{n-1}\rangle[y] $
\pagebreak

$ \parallel\langle x_0,\dots,x_{n-1}\rangle[y] $
\pagebreak

$\sum_{i\in x} weights_i = y $
\pagebreak

$ z \supseteq x \cap y$
\pagebreak

$ z \subseteq x \cap y$
\pagebreak

$ z=x\cap y$
\pagebreak

$ z=x\cup y$
\pagebreak

$ x = \bigcap_{i\in\{0,\dots,n-1\}} y_i $
\pagebreak

$ x = z\cap\bigcap_{i\in\{0,\dots,n-1\}} y_i $
\pagebreak

$ x = z\cup\bigcup_{i\in\{0,\dots,n-1\}} y_i $
\pagebreak

$ x = \biguplus_{i\in\{0,\dots,n-1\}} y_i $
\pagebreak

$ x = z\uplus\biguplus_{i\in\{0,\dots,n-1\}} y_i $
\pagebreak

$ x\subseteq y$
\pagebreak

$ (x\subseteq y) \Leftrightarrow b $
\pagebreak

$ x=y $
\pagebreak

$ (x=y) \Leftrightarrow b$
\pagebreak

$ x\leq y $
\pagebreak

$ (x\leq y) \Leftrightarrow b$
\pagebreak

$ x\neq y $
\pagebreak

$y_i$
\pagebreak

$ \{i,\dots,j\}$
\pagebreak

$\{i,\dots,j\}$
\pagebreak

$\mathit{glb}(s)=\{\mathit{glbMin},\dots,\mathit{glbMax}\}$
\pagebreak

$\mathit{lub}(s)=\{\mathit{lubMin},\dots,\mathit{lubMax}\}$
\pagebreak

$\mathit{cardMin}\leq |s|\leq\mathit{cardMax}$
\pagebreak

$\mathit{glb}(s)=\mathit{glbD}$
\pagebreak

$\mathit{lub}(s)=\mathit{lubD}$
\pagebreak

$\{x\}$
\pagebreak

$t$
\pagebreak

$\{t\}$
\pagebreak

$\mathrm{a}_i$
\pagebreak

\end{document}
