Introducing the remarkable Hang Lung Mathematics Awards finalist teams!
Since its inception in 2004, the biennial event has provided a platform for young minds to explore the wonders of mathematics and the sciences.
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Since its inception in 2004, the biennial event has provided a platform for young minds to explore the wonders of mathematics and the sciences.
Introduction to continued fractions Let’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, we’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. That’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, write a fraction that’s close to the irrational number, such as 22/7 as an approximation of pi. But th...