deletions | additions       diff --git a/C++ Functions.tex b/C++ Functions.tex  index aea16c7..3515fda 100644  --- a/C++ Functions.tex  +++ b/C++ Functions.tex 
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}  \end{lstlisting}  A microbenchmark comparison \footnote{The microbenchmark was  performed on a machine running  OS X, Version 10.9.3, with a 2.9 GHx Intel Core i7 processor processor,  and 8 GB 1600 MHz DDR3 memory, memory}  reveals significant speed improvements: \begin{lstlisting}  microbenchmark(out.CPP <- lbfgs(objective(), gradient(), c(-1.2,1), invisible=1),