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Jarnick's Inequality


Given a convex plane region with area A and perimeter p, then

 |N-A|<p,

where N is the number of enclosed lattice points.


See also

Lattice Point, Nosarzewska's Inequality

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Cite this as:

Weisstein, Eric W. "Jarnick's Inequality." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/JarnicksInequality.html

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