Bolzano: ... even though a train may not lead to a destination, there is always an express train that converges to a certain limit Mathematician: What if it was a k-dimensional train? Peyam: [ahem] infinite dimensional complete metric space train [cough]
What if we had sequences st x1's subsequence only converges by taking odd indeces and x2's subsequence only converges by taking even indeces? Is such a pair of sequences possible, and doesn't this break the proof?
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Bolzano’s father was native of Como, in Lombardy, therefore the Italian-like pronunciation of Bolzano may be considered correct!
Faith in humanity restored haha
Thank you dr peyam
Bolzano: ... even though a train may not lead to a destination, there is always an express train that converges to a certain limit
Mathematician: What if it was a k-dimensional train?
Peyam: [ahem] infinite dimensional complete metric space train [cough]
How is this comment from 5 months ago ?
Proud SANATANI ✨Magic✨
Grandiosa explicación
Cool. Thank you very much.
"He's Czech, so let's Czech this out"
Me: *Today is a boring day*
Dr P: *Not anymore, please welcome Mr. Weierstrass*
Good explaining
Hi.
@ 6 : 15 i think if you´re talking about Quantum Particles , the line through( mittel one ) is not applied here or am i wrong on this ?
What if we had sequences st x1's subsequence only converges by taking odd indeces and x2's subsequence only converges by taking even indeces? Is such a pair of sequences possible, and doesn't this break the proof?
No, x2 must be a subsequence of x1
note: A real Sequence is not fake
i don't want to remember pre-engineering math class
Let's *check* this out
LOL
These comment has 5 months???