Simplify Tensor Products with Epsilon-Delta

The core focus of the source is the application of the $\varepsilon-\delta$-relation to transform the tensor expression $\varepsilon_{i j k} \varepsilon_{j k \ell}$ into a representation using the Kronecker delta. To master this, one must approach complex tensor identities by breaking them down into manageable, step-by-step calculations rather than attempting to solve them all at once. Furthermore, visualising the summation of individual products is essential, as it highlights the specific non-zero terms required to arrive at the final simplified value.

This analytical approach is much like sorting through a deck of cards to find only the face cards; by methodically checking each card (the summation) and identifying only the relevant ones (the non-zero terms), you can successfully complete the task without getting lost in the entire deck (the complex identity).

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🏗️Structural clarification of Poof and Derivation

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