Timeline for When is 2 qualitatively different from 3?
Current License: CC BY-SA 4.0
7 events
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Nov 11 at 7:26 | history | edited | Corentin B | CC BY-SA 4.0 |
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Nov 11 at 7:25 | comment | added | Corentin B | Just isomorphic to its dual as an abstract polytope, hypercube and hyperoctahedron coincide in dimension $d=1,2$. | |
Nov 11 at 5:07 | comment | added | Antoine Labelle | What does self-dual mean here? | |
Nov 9 at 22:16 | comment | added | Corentin B | In this case, it is algebraic for $d=1$, and D-finite (but not algebraic) for all $d\ge 2$. | |
Nov 9 at 22:11 | comment | added | Sam Hopkins | Sort of similar to this is the fact that the sequence $a^d_n = \sum_{k=0}^{n}\binom{n}{k}^d$ (sum of $d$th powers of $n$th row of Pascal's triangle) has a nice formula in the case of $d=1,2$ ($a^1_n = 2^n$, $a^2_n = \binom{2n}{n}$), but for $d \geq 3$ has no nice formula (e.g. I believe the corresponding generating function is not algebraic). | |
S Nov 9 at 22:08 | history | answered | Corentin B | CC BY-SA 4.0 | |
S Nov 9 at 22:08 | history | made wiki | Post Made Community Wiki by Corentin B |