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 www.themathdoctors.org
Euler's Formula: Complex Numbers as Exponents - The Math Doctors
| | jaydaigle.net
A Fictional History of Numbers, Part 4: Imagination, Complexity, and the Fundamental Theorem of Algebra
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| | We continue our exploration of what numbers are, and where mathematicians keep finding weird ones. In the first three parts we extended the natural numbers in two ways: algebraically and analytically. Those approaches gave overlapping but distinct sets of numbers. This week we combine them to get the complex numbers, and see some hints of why the complex numbers are so useful-and so frustrating.
| | www.kuniga.me
The Basel Problem
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| | NP-Incompleteness:
| | www.johndcook.com
Euler's formula for dual numbers and double numbers
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| | Analogs of Euler's formula exp(ix) = cos(x) + i sin(x) in other number systems, namely dual numbers and double numbers.
| | gilkalai.wordpress.com
Yael Tauman Kalais ICM2018 Paper, My Paper, and Cryptography | Combinatorics and more
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| Yael Tauman Kalai: Delegating Computation via No-Signaling Strategies. Ladies and Gentelmen, Here is, exclusively for our readers, Yael Tauman Kalai's ICM2018 paper: Delegating Computation via No-Signaling Strategies. The opportunity to present the paper arose when a week ago I attended a great lecture on game theory by Yair Tauman and met there Adam Kalai, Yael,