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Ep 194: David Deutsch’s ”The Fabric of Reality” Chapter 9 ”Quantum Computers” Part 4: Shor’s Algorithm

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The Powers of Numbers

trigonometry is about Periodicity Patterns repeating Okay, it's waveforms You have the sine wave And the cosine wave And so you can figure out the period of things Just how How often something repeats itself In terms of patterns of numbers. He was noticing and explaining patterns Where no one else had before and he saw links between Exponential and periodicity Hence his formula here If you know anything about trigonometry You'll know it's about PeriodicityPatterns repeat themselves in a sequence called remainders. Those remainders When you're dividing by 10 Give you a pattern Periodicity 3971 The period is 4 We say It repeats every 4 digits And also Notice that the

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