ext_substitution.tex

Paper VI: Transfer Semigroups: Stochastic, Bayesian, Fractional, and PDE Realizations

ext_substitution.tex

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1 \begin{tikzpicture}[x=1cm,y=1cm,>=Stealth,font=\sffamily\small,
2  box/.style={draw=black!60,fill=black!3,rounded corners=2pt,align=center,minimum height=.68cm,inner sep=7pt},
3  arrow/.style={->,line width=.8pt},note/.style={font=\sffamily\scriptsize,align=center}]
4 
5 \node[box](a)at(0,1.2){operator defect\\$\Delta_{13}=7\eta$};
6 \node[box](b)at(6.2,1.2){rational-calculus defect\\$-7\eta/30$};
7 \draw[arrow](a)--node[above]{$F(z)=(1+z)^{-1}$}(b);
8 \node[note]at(3.1,-.15){Left inverse factor $1/3$\quad Right inverse factor $1/10$\quad Sign $-$};
9 \node[note]at(3.1,-.85){At $\eta=0$: both defects vanish exactly};
10 
11 \end{tikzpicture}

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