arshad_thesis/tempp.tex at main · mosialgorithm/arshad_thesis · GitHub

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% =============================================================================
% from glossary package
xindy -L persian-variant1 -C utf8 -I xindy -M %.xdy -t %.glg -o %.gls %.glo |
xindy -L persian-variant1 -C utf8 -I xindy -M %.xdy -t %.blg -o %.bls %.blo |
xindy -L english -C utf8 -I xindy -M %.xdy -t %.alg -o %.acr %.acn
% =============================================================================


\begin{itemize}

	\item[] {}
	\begin{flalign}
	i=0 \Rightarrow \quad
	E_1 = E_0 / \langle \ell^{4}R_0 \rangle , \quad
	\phi_0 : E_0 \rightarrow E_1 , \quad
	R_1 = \phi_0(R_0)
	\end{flalign}


	\item[] {}
	\begin{flalign}
	i=1 \Rightarrow \quad
	E_2 = E_1 / \langle \ell^{3}R_1 \rangle , \quad
	\phi_1 : E_1 \rightarrow E_2 , \quad
	R_2 = \phi_1(R_1)
	R_2 = \phi_1(\phi_0(R_0))
	\end{flalign}


\end{itemize}


% triangle diagram
\begin{tikzcd}[row sep=3em,column sep=3em]
	x_1(k+1) \arrow[d,swap,"x_1(k)"] & \\
	x_2(k+1) \arrow[d,swap,"x_2(k)"] &
	x_4(k+1)
	\arrow[lu,swap,"x_1(k)"]
	\arrow[l,swap,"x_2(k)"]
	\arrow[l,loop right,"x_4(k)"]
	\arrow[dl,shift right]
	\\
	x_3(k+1) \arrow[ru,shift right,swap,"x_3(k)"]
\end{tikzcd}