Talk:Levi-Civita symbol

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[edit] Examples

Could someone please explain the examples more clearly. Phrases like "it is obvious that.." or "it is clear that..." are hot very helpful, as it is all relative. Could someone please outline the steps for example 2 (and others if necessary) clearly, to be like an example is meant to be.

[edit] Levi-Civita (person)

Was Levi-Civita really a physician? I see nothing on that on his biographical article.Commander Nemet 05:25, 15 March 2006 (UTC)

Clearly this person means physicist. I have altered the article appropriately.Roonilwazlib 19:07, 22 May 2006 (UTC)

" It is actually a pseudotensor because under an orthogonal transformation of jacobian determinant −1 (i.e., a rotation composed with a reflection), it gets a -1." - It gets a -1? Could someone clarify this, maybe writing it explicitly with symbols? I don't get it. I'm trying to find out how the Levi-Civita symbol transforms and this hasn't helped... 203.97.255.167 22:01, 24 June 2006 (UTC)

Levi Civita is a HOLOR not a TENSOR, it does not transform like tensors do. Seeing as Wikipedia has no articles on Holor theory this may get confusing. Also the index conventions on this page are all wrong "superscipts should be considered equivalent with subscripts". Wrong.

[edit] Visualization matrix for ε_ijk

I think the image showing the visualization of the symbol is not correct. If i corresponds to row, j corresponds to column, and k corresponds to the plane, then one should have the following representation:

first plane:      0     0     0      0     0     1      0    -1     0

second plane:      0     0    -1      0     0     0      1     0     0

third plane:      0     1     0     -1     0     0      0     0     0

I may be wrong if i,j and k correspond to different directions than the one I mentioned above. Please correct. -- Myth (Talk) 14:17, 18 March 2007 (UTC)