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on digital people and millenium problems
The ideas I present are a continuation on the proposal here: Digital People.I highly recommend giving it a read. Perhaps you’ve heard of the Millenium Problems, a collection of 7 of the hardest unsolved problems in mathematics, physics, and computer science with a 1 million dollar reward for any potential solver. But that mere one…
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BATES Grain Length Derivations
Using Richard Nakka’s model for surface regression of a BATES grain: where or the initial web thickness. Then to achieve a neutral burn we want the initial to equal the final so: Substituting in for and simplifying: As Mr. Nakka points out, is constrained based on motor size and liner thickness and is constrained by…
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cool geometry of the determinant
“If you want to master something, teach it” – Richard Feynman This winter break, I’ve been going through the English translation of Shilov’s Linear Algebra. The text is a must-read for anyone wanting a fundamental treatment of the subject. I wanted to highlight a proof of a property of determinants that is presented to the…
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Proving the Gradient Descent Exercise (Neural Networks and Deep Learning)
Chapter 1 of Neural Networks and Deep Learning by Michael Nielsen presents the following question. How should we choose a vector of changes (of fixed magnitude) in order to minimize or, to analogize, suppose you are at the top of a hill looking to find the fastest way down. What direction should you take a…
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Shres Thoughts
An attempt to pigeonhole my interests: Experimental Rocketry Boomin’ then Zoomin’ Epistemology One of many Yudkowsky fever dreams Physics A clique of atoms thinking about other atoms Poker Luck and the Piano.