Visualization of tensors

Part 1

Part 1 in this series shows some introduction to tensor theory and demonstrates it with the Cauchy stress tensor. 

Part 2

Part 2 visualizes the electromagnetic tensor.  Part 2A uses it to represent a magnetic field. In Part 2B we extend it to the electric field as well.

Different meanings of the term 'tensor'

This series talks about the term ‘tensor’ as used in physics and math. In the field of AI the term tensor was borrowed with a simplified meaning. In AI it simply means a multi-dimensional array. So for example the array “double a[4][6]” (4 by 6 matrix of doubles) is called a second-order tensor, but there’s no special relationship to vector spaces, as shown in the video.

Next parts . . .

Future parts of this series will show more theory and more examples. Please subscribe to get notifications when new parts are posted.

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