I can't seem to wrap my mind around it. I understand the concept of it, but I can't figure out how to translate that concept into actually extracting the individual equations from tensor notation.(adsbygoogle = window.adsbygoogle || []).push({});

For example,

[tex]

a^i \: b^j \: c^k \: \epsilon_{jqs} \: \epsilon_{krt} \: \tau_i^{qr} = 0_{3 \times 3}

[/tex]

note that [tex]a,b,c[/tex] are [tex]3 \times 1[/tex] and [tex]\tau[/tex] is [tex]3\times 3 \times 3[/tex].

This represents 9 equations. I understand how to calculate the value of the http://mathworld.wolfram.com/PermutationSymbol.html" [Broken], but this is complicated by having both superscripts and subscripts, and I'm also not sure if the subscripts of [tex]\epsilon[/tex] count in Einstein summation. My biggest problem is that I don't understand the "method" that can be used to extract the actual equations out of this!

If someone could show me how to extract just 1 of the equations that would help a lot

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# Tensor notation

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