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Alexkritchevsky. Hey, it looks like you have Javascript disabled. There's math on this page that's supposed to be rendered by Javascript, so it might not make sense!
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Exact Divergent Series
One of my more strongly held mathematical opinions is that results which appear to be surprising or paradoxical (or just overly complex) are in fact bad results, and are often indicators of places that our foundations have gone wrong. For example, to me B
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Linear Algebra with Frames
I have a bunch of notations I like to use for linear algebra and vector calculus which are at this point scattered across various notes and posts. I wanted to consolidate them in one place so that I can refer to them later. I am pretty sure that the ideas
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Everything Is Logarithms
Some connections between things, which I have not seen elsewhere. Maybe they mean something? 1. The Baseless Logarithm Normally one writes a logarithm with a base, (log_b (x)), to mean y = log_b (x) Lra by = x And then you can change the base of the logar
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Further Meditation on Taylor Series
I have spent a lot of time trying to think intuitively about calculus, Taylor series, divergent series, and things like that. Here are a couple things I realized at some point which I would like to have written down. (This is sort of a sequel to a much mo
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Locating the Lemniscate
Still more investigation into why ((-frac{1}{2})! = sqrt{pi}). Now we are circling in on the real question, which is: what could it possibly mean to take a permutation of a fractional number of elements? At this point I am not recounting regular mathemati
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