| 11. | In physics fermions are described by spinor fields and bosons by tensor fields.
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| 12. | Vector fields are one kind of tensor field.
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| 13. | Vector fields are contravariant rank one tensor fields.
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| 14. | Raising the second index, we get the ( 1, 1 ) tensor field
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| 15. | The same is true in general relativity, of tensor fields describing a physical property.
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| 16. | Differential geometry, physics and engineering must often deal with tensor fields on smooth manifolds.
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| 17. | A tensor field expresses the concept of a tensor that varies from point to point.
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| 18. | Functions, tensor fields and forms can be differentiated with respect to a vector field.
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| 19. | Are Determinants Tensor Fields or Matrix Functions?
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| 20. | The above can be generalized for vector fields, tensor fields, and spinor fields.
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