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diff --git a/supplementary/nomenclature.tex b/supplementary/nomenclature.tex new file mode 100644 index 0000000..01e0d48 --- /dev/null +++ b/supplementary/nomenclature.tex @@ -0,0 +1,19 @@ +\begin{center} +\begin{tabular}{|l l|} + \hline + \textbf{Symbol} & \textbf{Description} \\ \hline + $N_B$ & Capacity of the mutable buffer \\ \hline + $s$ & Scale factor \\ \hline + $B(n)$ & Data structure construction cost from unsorted records \\ \hline + $B_M(n)$ & Data structure construction cost from merging existing instances\\ \hline + $L(n)$ & Point-lookup cost \\ \hline + $\mathscr{Q}(n)$ & Worst-case query cost over entire structure \\ \hline + $\mathscr{Q}_S(n)$ & Worst-csae query cost over a single block/shard \\ \hline + $I_A(n)$ & Amortized insertion cost \\ \hline + $I(n)$ & Worst-case insertion cost \\ \hline + $I_B(n)$ & Best-case insertion cost \\ \hline + $\mathcal{D}$ & Record domain \\ \hline + $\mathcal{I}$ & Data structure type \\ \hline + $\mathscr{I}$ & Data structure instance \\ \hline +\end{tabular} +\end{center} |