Universal Generative Deformation Calculus

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1 \begin{table}[htbp]
2 \centering
3 \small
4 \caption{Selected analytic objects generated from the seed $\cosh x$.}
5 \label{tab:analytic-objects}
6 \begin{tabular}{rL{0.26\textwidth}L{0.48\textwidth}}
7 \toprule
8 Depth & Object & One shortest generating route \\
9 \midrule
10 0 & \texttt{\detokenize{cosh(x)}} & \texttt{\detokenize{seed}} \\
11 1 & \texttt{\detokenize{sinh(x)}} & \texttt{\detokenize{differentiate}} \\
12 1 & \texttt{\detokenize{1/cosh(x)}} & \texttt{\detokenize{reciprocal}} \\
13 1 & \texttt{\detokenize{tanh(x)}} & \texttt{\detokenize{log_derivative}} \\
14 1 & \texttt{\detokenize{cosh(2*x)}} & \texttt{\detokenize{double_argument}} \\
15 2 & \texttt{\detokenize{1/sinh(x)}} & \texttt{\detokenize{differentiate -> reciprocal}} \\
16 2 & \texttt{\detokenize{1/tanh(x)}} & \texttt{\detokenize{differentiate -> log_derivative}} \\
17 2 & \texttt{\detokenize{cosh(x)**(-2)}} & \texttt{\detokenize{reciprocal -> square}} \\
18 2 & \texttt{\detokenize{tanh(x)**2}} & \texttt{\detokenize{log_derivative -> square}} \\
19 2 & \texttt{\detokenize{tanh(2*x)}} & \texttt{\detokenize{log_derivative -> double_argument}} \\
20 \bottomrule
21 \end{tabular}
22 \end{table}

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