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mathbabe.org | ||
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fabricebaudoin.blog
Let $latex x\in C^{1-var} ([0,T], \mathbb{R}^d)$ and let $latex V : \mathbb{R}^e \to \mathbb{R}^{e\times d} $ be a Lipschitz continuous map. In order to analyse the solution of the differential equation, $latex y(t)=y_0+\int_0^t V(y(s)) dx(s),$ and make the geometry enter into the scene, it is convenient to see $latex V$ as a collection of vector... |
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xorshammer.com
Nonstandard Analysis is usually used to introduce infinitesimals into the real numbers in an attempt to make arguments in analysis more intuitive. The idea is that you construct a superset $latex \mathbb{R}^*$ which contains the reals and also some infinitesimals, prove that some statement holds of $latex \mathbb{R}^*$, and then use a general "transfer principle"... |
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blog.vinneycavallo.com
An introduction to countably and uncountably infinite sets and cantor's diagonal argument |
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reperiendi.wordpress.com
https://www.mcsweeneys.net/articles/an-open-letter-to-the-mathematical-community |
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