Levi-Civita Symbol

[@RangQuid]

To me, the most elegant way of using Levi-Civita symbol is to define determinant of a tensor. Note that I say tensor not matrix, this is because Levi-Civita Symbol is actually known as a tensor density in tensor calculus and differential geometry.

[@brightsideofmaths]

I will make more videos about tensors soon :)

[@aniksamiurrahman6365]

Ah! Even mathematics has a hero called Levi. LOL! Just finished AoT.

[@playtube3523]

Please make videos on ur spectral theory series

[@Simon-hy2fh]

KZbin auto captions recognizes your voice as french 😂

[@brightsideofmaths]

Civita confused KZbin, I guess :D

[@achillesmichael5705]

@@brightsideofmaths I thought the pronunciation of Civita was a little off but not sure (I'm german myself so IDK) edit: okay ist richtig ich hatte keien Ahnung

[@beautykumari5589]

Very good; Thankyou so much sir..

[@pinklady7184]

*FIRST,* yay! Thanks for tutorial. Much appreciated.

[@minglee5164]

Never seen this notation before

[@apolloniuspergus9295]

The Levi-Civita symbol seems to behave precisely like the base trivector from geometric algebra.

[@cartmansuperstar]

what would the "else"-case be?

[@brightsideofmaths]

111 for example

[@cartmansuperstar]

@@brightsideofmaths ah, okay. i misunderstood and thought, it had to be a permutation of the numbers 1,2,3. thanks

[@brightsideofmaths]

@@cartmansuperstar Of course, these are the only interesting cases in the end :)

[@beautykumari5589]

112,122,133,331,...if any 123 repeat

[@aashsyed1277]

I am confused . If it is 1 for (2,3,1) the what is the value of this at (4,5,1)??

[@brightsideofmaths]

Only 1, 2 and 3 are allowed for indices here.

[@Sina_Arasteh]

❤