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 xorshammer.com
Doing Calculus on the Rationals (with the help of Nonstandard Analysis) - XOR's Hammer
| | almostsuremath.com
Algebraic Probability - Almost Sure
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| | The aim of this post is to motivate the idea of representing probability spaces as states on a commutative algebra. We will consider how this abstract construction relates directly to classical probabilities. In the standard axiomatization of probability theory, due to Kolmogorov, the central construct is a probability space $latex {(\Omega,\mathcal F,{\mathbb P})}&fg=000000$. This consists...
| | alok.github.io
Derivative AT a Discontinuity - Every Man a Debtor
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| | Alok Singh's Blog
| | mattbaker.blog
Algebraic Values of Transcendental Functions at Algebraic Points | Matt Baker's Math Blog
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| | In honor of Pi Day 2023, I'd like to discuss Hilbert's 7th Problem, which in an oversimplified (and rather vague) form asks: under what circumstances can a transcendental function take algebraic values at algebraic points? The connection with $latex \pi$ is that Lindemann proved in 1882 that the transcendental function $latex f(z) = e^z$ takes...
| | mmph.wordpress.com
TeX on the cloud | Mathematically Minded Physicist
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| The recent post on cloud computing and Google Docs made me ask myself whether Google Docs supports (La)TeX. It turned out you can insert LaTeX equations into your Google doc (as discussed in more detail e.g. here) but that's that for now. There exists a LaTeX Lab project aspiring to develop a web-based LaTeX editor...