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Dec
2
awarded  Notable Question
Nov
30
revised Distance function to define finite ratio of hypercube volume
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Nov
30
comment Distance function to define finite ratio of hypercube volume
It still should be a maximal object inscribed in a unit cube. So scaling wouldn't do here. It should be something that extends into the corners more than a sphere.
Nov
30
asked Distance function to define finite ratio of hypercube volume
Nov
6
awarded  Tumbleweed
Nov
1
asked Why the factorial in this analytical form of Dirichlet function?
Oct
30
revised Summarize binary sequences
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Oct
30
asked Summarize binary sequences
Sep
5
awarded  Yearling
Jul
2
awarded  Curious
May
3
comment Can the sum $1+2+3+\cdots$ be something else than $-1/12$?
The result/derivations depend largely on the assumptions you make. And from Wikipedia it seems if you use both linearity and stability (as in your case), you easily get contradictions. However, they mention two methods which use only one of the properties and yet both get $-1/12$. So, will all methods using linearity XOR stability get the same result? This seems more interesting.
May
3
revised Can the sum $1+2+3+\cdots$ be something else than $-1/12$?
added 383 characters in body
May
3
comment Can the sum $1+2+3+\cdots$ be something else than $-1/12$?
The wikipedia page says, that of course this series cannot be treated as linear and stable. Are there any derivations which don't use these two properties?
May
3
comment Can the sum $1+2+3+\cdots$ be something else than $-1/12$?
Sure. But with additional assumptions, apparently you can get an answer that might be even useful. So the question is whether there are two contradictory, but sensible assumptions possible.
May
3
asked Can the sum $1+2+3+\cdots$ be something else than $-1/12$?
Apr
19
awarded  Notable Question
Mar
6
awarded  Popular Question
Dec
26
awarded  Popular Question
Sep
5
awarded  Yearling
Jan
15
accepted Prove that 1+1=2