Coverage of a square lattice by an inclined rectangle

Coverage of a square lattice by an inclined rectangle

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Article ID: iaor1989683
Country: United Kingdom
Volume: 21
Issue: 3
Start Page Number: 705
End Page Number: 707
Publication Date: Sep 1989
Journal: Advances in Applied Probability
Authors:
Abstract:

By use of a method of dissection, a formula is derived for the variance in the number of lattice points covered by a rectangle of arbitrary size, lying on a square lattice of unit spacing and inclined to the lattice at an angle of which the tangent is a rational fraction.

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