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Best Rational Approximation Using Continued Fractions by Lily Shao '20, Mathematics Colloquium

Mon, February 17th, 2020
1:00 pm
- 1:45 pm

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Best Rational Approximation Using Continued Fractions by Lily Shao ’20, Mathematics Colloquium, Monday, February 17, 1 – 1:45 pm

Abstract:  This talk will explore the rational approximation of real numbers using continued fractions.  We will introduce the idea of a convergent of a continued fraction, and what it means for a rational to be a “best approximation”.  We will then prove that convergents are in fact best approximations, and show some interesting extensions.

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