You’ve heard that two matrices multiply into another matrix, but with two 𝑡𝑒𝑛𝑠𝑜𝑟𝑠, two “matrices” can multiply to become a scalar.
Heck yes, this is a (short) thread on
𝑡𝑒𝑛𝑠𝑜𝑟𝑠 pic.twitter.com/6bCP8yqksQ
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In the same clip, we can categorize our tensors depending on how many indices are downstairs or upstairs. Rank = (down, up). The first contraction is between a rank (2, 0) tensor and a rank (0, 2) tensor. The second is between a rank (1, 0) tensor and a rank (0, 1) tensor.pic.twitter.com/vdMA7a5Ws5
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I love this .. you've GOT to let me know what you used my dude
