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Results tagged with euclidean-geometry
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user 123897
Euclidean geometry is a mathematical system attributed to the Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements. Euclid's method consists in assuming a small set of intuitively appealing axioms, and deducing many other propositions (theorems) from these.
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Is it possible to continuously select a probability distribution over fixed points in Brouwe...
There can be no such function even in the category of smooth functions.
Here an example for functions $f:[0,1]\to [0,1]$ with $f(0)=\epsilon$ and $f(1)=1-\epsilon$:
(1) Let $\operatorname{id}:x\ma …
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