this is for holding javascript data
Mazdak Farrokhzad edited b) Algorithm.tex
almost 10 years ago
Commit id: 898455fa785a819fa6f08d21313a795cf2f0c4d3
deletions | additions
diff --git a/b) Algorithm.tex b/b) Algorithm.tex
index bf47d96..58ec94e 100644
--- a/b) Algorithm.tex
+++ b/b) Algorithm.tex
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\begin{subequations}
\begin{align*}
T_{\mathtt{min}}(p, k) &=
\floor{\log_2(p)}^22^{\floor{\log_2(k)}-1}\left(2^{\floor{\log_2(k)}} \floor{\log_2(p)}^2 2^{\floor{\log_2(k)}-1}\left(2^{\floor{\log_2(k)}} - 1\right)\\
&\geq \Big(\log_2(p)-1\Big)^2\frac{k}{2^2}\left(\frac{k}{2} - 1\right)\\
T_{\mathtt{max}}(p, k) &= \Big(\floor{\log_2(p)}+1\Big)^2 2^{\floor{\log_2(k)}}\left(2^{\floor{\log_2(k)}+1} - 1\right)\\
&\leq \Big(\log_2(p)+2\Big)^2 2k\left(2^2k - 1\right)