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Continued Fractions: Haskell, Equational Reasoning, Property Testing, and Rewrite Rules in Action

Introduction to continued fractions Letโ€™s start with a challenge. Assume I know how to write down an integer. Now, how can I write down a real number? In school, weโ€™ve all learned a few answers to this question. The big two are fractions and decimals. Fractions have simple forms for rational numbers. Just write two integers, for the numerator and denominator. Thatโ€™s great! But alas, they are no good at all for irrational numbers like pi, or the square root of 2. I could, of course, writ...
David Lester Joachim Breitner Mark Dominu Canonical Inf Canonicalcont Inf Nonnegative Rational
Source: medium.com

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