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Jarnick's Inequality

Given a Convex plane region with Area $A$ and Perimeter $p$, then

\begin{displaymath}
\vert N-A\vert<p,
\end{displaymath}

where $N$ is the number of enclosed Lattice Points.

See also Lattice Point, Nosarzewska's Inequality




© 1996-9 Eric W. Weisstein
1999-05-25