Tensor Calculus

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2 domain-specific abstractions whose origin domain is Tensor Calculus.

• Covariant transformation — A component-transformation rule in which lower-index tensor components change with the inverse-coordinate or dual-basis matrix so the underlying geometric object and contractions remain invariant.
• Penrose graphical notation — A diagrammatic tensor notation in which shapes, lines and contractions visually encode multilinear maps, indices and composition.