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A second rank tensor is a mathematical object that has both magnitude and direction. It is represented by a matrix of numbers that describe how it transforms under rotations and reflections. Second rank tensors are commonly used in physics and engineering to represent physical quantities such as stress, strain, and electromagnetic fields. They are also used in computer graphics and image processing for tasks like image filtering and pattern recognition.

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What is a bivector?

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A scalar, which is a tensor of rank 0, is just a number, e.g. 6 A vector, which is a tensor of rank 1, is a group of scalars, e.g. [1, 6, 3] A matrix, which is a tensor of rank 2, is a group of vectors, e.g. 1 6 3 9 4 2 0 1 3 A tensor of rank 3 would be a group of matrix and would look like a 3d matrix. A tensor is the general term for all of these, and the generalization into high dimensions.


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