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| | tritonstation.com
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| | I want to take another step back in perspective from the last post to say a few words about what the radial acceleration relation (RAR) means and what it doesn't mean. Here it is again: The Radial Acceleration Relation over many decades. The grey region is forbidden - there cannot be less acceleration than caused...
| | jiggerwit.wordpress.com
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| | What follows are the opening paragraphs of a pdf document giving an argument for controlled natural languages in mathematics. At the recent Big Proof 2 conference in Edinburgh, I realized that a case must be made for developing a controlled natural language for mathematics. There is little consensus on this issue, and mathematicians and computer...
| | mln84.wordpress.com
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| | The most common question students have about mathematics is "when will I ever use this?" Many math teachers would probably struggle to give a coherent answer, beyond being very good at following precise directions. They will say "critical thinking" but not much else concrete. Meanwhile, the same teachers must, with a straight face, tell their...
| | jmanton.wordpress.com
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| If $latex Y$ is a $latex \sigma(X)$-measurable random variable then there exists a Borel-measurable function $latex f \colon \mathbb{R} \rightarrow \mathbb{R}$ such that $latex Y = f(X)$. The standard proof of this fact leaves several questions unanswered. This note explains what goes wrong when attempting a "direct" proof. It also explains how the standard proof...