Classroom Capsules and Notes

Classroom Capsules and Notes brings together the best of 112 years of the short classroom materials from the MAA print publications.
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The authors present an interesting tiling of the plane based on pythagorean triangles spiraled around a central square.
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The author constructs infinitely many integer solutions to the title equation x^n + y^n = z^(n+1).
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The article describes how to find polynomials whose roots are given powers of the roots of an original polynomial.
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A geometric fact is proved visually.
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An argument is given for the familiar equality of row and column rank.
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This article poses a generalization of a three-way gunfight and analyzes the problem using Markov chains.
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