Talk:Hodge dual: Difference between revisions

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After all this time I'm still not sure what this is supposed to be. As written it seems to me like it's just the {{w|hodge star}} operator, so why give such an obscenely convoluted definition instead of just saying that?

– [[User:Sintel|Sintel🎏]] ([[User_talk:Sintel|talk]]) 17:53, 16 April 2025 (UTC)

: Ok, did a rewrite. Let me know what you think. – [[User:Sintel|Sintel🎏]] ([[User_talk:Sintel|talk]]) 20:20, 11 June 2025 (UTC)

:: Is Sintel talking to himself? -- [[User:VectorGraphics|VectorGraphics]] ([[User talk:VectorGraphics|talk]]) 21:36, 11 June 2025 (UTC)

::: I'll have to since nobody else replied. – [[User:Sintel|Sintel🎏]] ([[User_talk:Sintel|talk]]) 21:48, 11 June 2025 (UTC)

== Computation ==

Who came up with the algorithm given in the computation section? I can not find any reference to it online. I'm only familiar with the usual basis permutation sign approach.

I checked for a number of low-dimensional cases that it does indeed give the correct result.

I'd like a reference or explanation of how it works.

– [[User:Sintel|Sintel🎏]] ([[User_talk:Sintel|talk]]) 21:48, 11 June 2025 (UTC)

: I kind of understand it now, the key is to get a proper inversion count using triangular numbers. I still don't know where it comes from though. The explanation is a bit convoluted and not exactly relevant here, so preferably it would still just be a reference, I'll try to hunt down some literature. – [[User:Sintel|Sintel🎏]] ([[User_talk:Sintel|talk]]) 11:38, 13 June 2025 (UTC)

@@ Line 3: / Line 3: @@
 After all this time I'm still not sure what this is supposed to be. As written it seems to me like it's just the {{w|hodge star}} operator, so why give such an obscenely convoluted definition instead of just saying that?
 – [[User:Sintel|Sintel🎏]] ([[User_talk:Sintel|talk]]) 17:53, 16 April 2025 (UTC)
+: Ok, did a rewrite. Let me know what you think. – [[User:Sintel|Sintel🎏]] ([[User_talk:Sintel|talk]]) 20:20, 11 June 2025 (UTC)
+:: Is Sintel talking to himself? -- [[User:VectorGraphics|VectorGraphics]] ([[User talk:VectorGraphics|talk]]) 21:36, 11 June 2025 (UTC)
+::: I'll have to since nobody else replied. – [[User:Sintel|Sintel🎏]] ([[User_talk:Sintel|talk]]) 21:48, 11 June 2025 (UTC)
+== Computation ==
+Who came up with the algorithm given in the computation section? I can not find any reference to it online. I'm only familiar with the usual basis permutation sign approach.
+I checked for a number of low-dimensional cases that it does indeed give the correct result.
+I'd like a reference or explanation of how it works.
+– [[User:Sintel|Sintel🎏]] ([[User_talk:Sintel|talk]]) 21:48, 11 June 2025 (UTC)
+: I kind of understand it now, the key is to get a proper inversion count using triangular numbers. I still don't know where it comes from though. The explanation is a bit convoluted and not exactly relevant here, so preferably it would still just be a reference, I'll try to hunt down some literature. – [[User:Sintel|Sintel🎏]] ([[User_talk:Sintel|talk]]) 11:38, 13 June 2025 (UTC)