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Rational Fire, Warm Hahnemühle German Etching Print

Rational Fire, Warm Hahnemühle German Etching Print

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A "rational number" is a fraction, a ratio of whole numbers. In the sense that integer arithmetic is exact, rational arithmetic is also exact. (By contrast, evaluating rational numbers in floating point form entails round-off error.) In a first real analysis course, students learn that every real number can be approximated arbitrarily closely by rational numbers. The image suggests a proof by writing the set of rational numbers as a union of scaled copies of the integers. The image also depicts the complicated way real numbers are approximated by rational numbers of bounded denominator.

Printed on archival quality Hahnemühle German etching paper (310gsm) with a velvety surface.

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