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authorStratis Ioannidis <stratis@Stratiss-MacBook-Air.local>2013-09-22 07:55:14 +0200
committerStratis Ioannidis <stratis@Stratiss-MacBook-Air.local>2013-09-22 07:55:14 +0200
commitcc1eea524d8fd1314d85fe7b56cddd95fd75302d (patch)
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parent1cb6e4b28e77b8c1a87e54bbd7097d7f8af0e371 (diff)
parent50900bfc44961b87379cd2d3464b677d9f5be1ac (diff)
downloadrecommendation-cc1eea524d8fd1314d85fe7b56cddd95fd75302d.tar.gz
Merge branch 'master' of ssh://74.95.195.229:1444/git/data_value
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index 83c4303..a7dc8ba 100755
--- a/main.tex
+++ b/main.tex
@@ -72,12 +72,12 @@ Lemma~\ref{thm:myerson-variant} allows us to incorporate our relaxation in the a
$O\big(poly(n, d, \log\log\frac{B}{b\varepsilon\delta})\big)$
and allocates
a set $S^*$ such that
-% \begin{align*}
- $ OPT
+ \begin{displaymath}
+ OPT
\leq \frac{10e-3 + \sqrt{64e^2-24e + 9}}{2(e-1)} V(S^*)+
\varepsilon
- \simeq 12.98V(S^*) + \varepsilon.$
-% \end{align*}
+ \simeq 12.98V(S^*) + \varepsilon.
+ \end{displaymath}
\end{theorem}
The proof of the theorem, as well as our proposed mechanism, can be found in Appendix~\ref{sec:proofofmainthm}.
In addition, we prove the following simple lower bound, proved in Appendix~\ref{proofoflowerbound}.