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vankessel.io
| | jaydaigle.net
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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.jeremykun.com
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| | This post is intended for people with a little bit of programming experience and no prior mathematical background. So let's talk about numbers. Numbers are curious things. On one hand, they represent one of the most natural things known to humans, which is quantity. It's so natural to humans that even newborn babies are in tune with the difference between quantities of objects between 1 and 3, in that they notice when quantity changes much more vividly than other features like color or shape.
| | www.hhyu.org
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| | Science, programming, books, and other interesting stuff
| | www.kdnuggets.com
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| From the biological neuron to LLMs: How AI became smart.