| 41. | In the vector field formalism, these are:
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| 42. | Consequently, the gradient produces a vector field.
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| 43. | Vector fields are one kind of tensor field.
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| 44. | Where, are the " component functions " of the vector fields.
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| 45. | Considering vector fields as infinitesimal representations associated to group representation in Lie group theory.
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| 46. | Older approaches to quantization for quotient space of vector field configurations by gauge transformations.
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| 47. | Vector fields are contravariant rank one tensor fields.
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| 48. | Which could act on scalar or vector fields.
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| 49. | Every affine vector field is a curvature collineation.
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| 50. | The signed distance function is thus a differentiable extension of the normal vector field.
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