Stratified Universality

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1 \begin{table}[htbp]
2 \centering
3 \caption{Named exact examples in the rational-mask digital atlas.}
4 \label{tab:block04-examples}
5 \scriptsize
6 \begin{tabularx}{\textwidth}{@{}L{0.18\textwidth}L{0.07\textwidth}L{0.17\textwidth}L{0.20\textwidth}L{0.09\textwidth}Y@{}}
7 \toprule
8 Example & Field & Reduced mask $A/B$ & First coefficients & $r_p/\kappa_p$ & \shortstack[l]{Collapse status /\\compiler bound}\\
9 \midrule
10 Cantor-digit indicator & $\mathbb F_3$ & $(1+z)/(1)$ & \texttt{\seqsplit{110110000110110000}} & $1/2$ & \shortstack[l]{non-collapse\\compiler\\bound $9$}\\
11 Square-root denominator & $\mathbb F_3$ & $(1)/(1+z)$ & \texttt{\seqsplit{121121000121121000}} & $2/4$ & \shortstack[l]{non-collapse\\compiler\\bound $9$}\\
12 Alternating collapse & $\mathbb F_3$ & $(1+2z+z^2)/(1)$ & \texttt{\seqsplit{121212121212121212}} & $1/2$ & \shortstack[l]{collapse\\compiler\\bound $9$}\\
13 Finite transient & $\mathbb F_2$ & $(1)/(1+z+z^2)$ & \texttt{\seqsplit{111000000000000000}} & $3/4$ & \shortstack[l]{collapse\\compiler\\bound $8$}\\
14 \bottomrule
15 \end{tabularx}
16 \end{table}

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