example 13.85 Euclidean space $E_{3}$

open in the book · parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:4077 · p. 502

example -- no derivation owed by its kind

Rests on

depends_on definition 13.82 Vector field ¶
- depends_on definition 13.81 Vector on a manifold ¶
  - depends_on definition 13.71 Differentiable curve ¶
    - depends_on definition 13.48 Differentiable manifold ¶
      - depends_on definition 13.47 Differentiable structure ¶
  - depends_on definition 13.45 Differentiable map on a topological space ¶
    - depends_on definition 13.44 Atlas ¶
      - depends_on definition 13.43 Coordinate system ¶
    - depends_on definition 13.43 Coordinate system ¶ ↺
  - depends_on definition 13.48 Differentiable manifold ¶ ↺
depends_on equation 13.199 eq:mfd-vector-transformation ¶

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type	direction	node	provenance	where
`depends_on`	→	Vector field	declared	parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:4120
`depends_on`	→	eq:mfd-vector-transformation	declared	parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:4120