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bio website maths.isomorphism.es
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argonaut: A person who is engaged in a dangerous but potentially rewarding quest.


Dec
16
awarded  Caucus
Dec
13
comment What is the meaning of the third derivative of a function at a point
The beam equation uses the fourth derivative.
Nov
13
revised Why can we prove mathematically that a formula to solve an (n+5) order polynomial does not exist?
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Nov
13
revised Why can we prove mathematically that a formula to solve an (n+5) order polynomial does not exist?
added 11 characters in body
Nov
11
revised For continuous functions, preimage of open set is open.
fixed grammar
Nov
11
suggested approved edit on For continuous functions, preimage of open set is open.
Nov
11
comment For continuous functions, preimage of open set is open.
Bottom of dpmms.cam.ac.uk/~wtg10/easyanalysis1.html feels metrical.
Nov
9
revised Why can we prove mathematically that a formula to solve an (n+5) order polynomial does not exist?
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Nov
9
revised Why can we prove mathematically that a formula to solve an (n+5) order polynomial does not exist?
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Nov
9
answered Why can we prove mathematically that a formula to solve an (n+5) order polynomial does not exist?
Nov
9
comment Why can we prove mathematically that a formula to solve an (n+5) order polynomial does not exist?
youtu.be/cxNq-hQwvn0 does a nice version of the explanation (1 hr). And youtu.be/RhpVSV6iCko provides a visual.
Oct
19
comment Why only two binary operations?
OK. That comment helps me contextualise your answer; thanks.
Oct
19
comment Why only two binary operations?
@PietroMajer Ah ok. Gotcha.
Oct
19
comment Why only two binary operations?
Thanks Qiaochu. This is exactly the kind of answer I was hoping for. One question though, it seems like you're taking a 1-category as natural (in the first part). And maybe some other sort of object that doesn't naturally split into in/out is just as natural? (I only meant to give rings and cat 101 as examples.)
Oct
19
comment Why only two binary operations?
@PietroMajer How do we know +,×,∘ are the only three interesting binary operations on $C(\mathbb{R},\mathbb{R})$?
Oct
19
comment Why only two binary operations?
@NajibIdrissi Think about the amount of effort that goes into showing that the Cartesian product ("boring") satisfies a universal property. Is there some similar way of showing that it's "easy" to extend 2 to many ops?
Oct
19
comment Why only two binary operations?
@NajibIdrissi OK, so for the second possible answer: (1) do we really know that? (2) how do we know that?
Oct
19
comment Why only two binary operations?
@NajibIdrissi Yes. But I'd forgotten about them. Thanks.
Oct
19
asked Why only two binary operations?
Oct
17
comment Is the theory of dual numbers strong enough to develop real analysis, and does it resemble Newton's historical method for doing calculus?
Do you really mean an order of magnitude smaller? $.001^2=.000001$ which is three orders of magnitude smaller.