This series explains about tensors using a unique and original visualization of a sphere with arrows.
Note that 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
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 is devoted to the electromagnetic tensor and deals mostly with this example. You can safely skip to part 3 for a more general tensor discussion.
Part 2A uses our sphere with arrows to visualize a magnetic field. In Part 2B we extend it to the electric field as well, and explain why electric and magnetic fields are two aspects of the same tensor field.
Part 3
Part 3 explains about tensor product and tensor product spaces. It shows an example from quantum physics, demonstrating how tensors are related to quantum entanglement.
Next parts . . .
Future parts of this series will show more theory and more examples. Please subscribe to get notifications when new parts are posted.