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Unformatted text preview: one place on the previous page. Use of the symbol ~ A ~ B = X i A i e i X j B j e j = X i, j A i B j ( e i e j ) = X i, j A i B j X k [( e i e j ) e k ] e k = X i, j A i B j X k [ ij k ] e k = X k e k X i, j A i B j [ ij k ]  {z } ( ~ A ~ B ) k ~ A ~ B k = X i, j A i B j [ ij k ] = k ij A i B j ~ A ~ B ~ C = ? h ~ A ~ B ~ C i k = k ij ~ A ~ B i C j = k ij ( i l m A l B m ) C j = ij k ( i l m A l B m ) C j = ij k i l m ( A l B m C j ) = ( j l k m j m k l ) ( A l B m C j ) = ~ A ~ C B k ~ B ~ C A k ~ A ~ B ~ C = ~ A ~ C ~ B ~ B ~ C ~ A...
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 Spring '09
 Gangopashyaya
 Magnetism

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