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authorDouglas Rumbaugh <dbr4@psu.edu>2025-05-25 19:45:30 -0400
committerDouglas Rumbaugh <dbr4@psu.edu>2025-05-25 19:45:30 -0400
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$N_B$ & 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
+ $B_M(n, k)$ & Data structure construction cost from merging $k$ 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
+ $\mathscr{Q}_S(n)$ & Worst-case query cost over a single block/shard \\ \hline
+ $\mathscr{Q}_B(n)$ & Best-case query cost over entire structure \\ \hline
$I_A(n)$ & Amortized insertion cost \\ \hline
$I(n)$ & Worst-case insertion cost \\ \hline
$I_B(n)$ & Best-case insertion cost \\ \hline