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Book Stacking Problem

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Definition

How far can a stack of n books protrude over the edge of a table without the stack falling over? It turns out that the maximum overhang possible d_n for n books (in terms of book lengths) is half the nth partial sum of the harmonic series. This is given explicitly by d_n = 1/2 sum_(k = 1)^n 1/k = 1/2 H_n, where H_n is a harmonic number.

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Subjects We Tutor

What Is Domain In Math

What Is Domain In Math ‘

What Is Domain In Math

What Is Domain In Math ‘

Volume of a Sphere

Volume of a Sphere ‘

Area of a Triangle

Area of a Triangle ‘

Distance Formula

Distance Formula ‘

Distance Formula

Distance Formula ‘

Volume of a Cylinder

Volume of a Cylinder ‘

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