remark 18.30 The angular velocity is an element of $\mathfrak{so}(3)$

open in the book · parts/03-classical-mechanics/01-kinematics.tex:882 · p. 728

Rests on

depends_on definition 18.29 Angular velocity vector ¶
- depends_on definition 18.27 Angular position, velocity and acceleration ¶
  - depends_on definition 18.11 Acceleration ¶
    - depends_on definition 7.26 Derivative of a function at a point ¶
      - depends_on definition 7.16 Limit ¶
      - depends_on definition 7.9 Real function ¶
    - depends_on definition 18.10 Velocity ¶
      - depends_on definition 7.26 Derivative of a function at a point ¶ ↺
      - depends_on definition 18.9 Position ¶
      - depends_on definition 13.9 Tangent vector to a curve ¶
  - depends_on definition 18.9 Position ¶ ↺
  - depends_on definition 18.10 Velocity ¶ ↺
- depends_on definition 18.10 Velocity ¶ ↺
depends_on proposition 14.27 Generators of $\mathfrak{so}(3)$ ¶
- depends_on definition 14.26 The rotation group ¶
- proves proof ch:12-lie-groups-fibre-bundles@proof-8 ¶

Nothing declares a dependency on this node yet.

Every logical edge within two steps of this node.

type	direction	node	provenance	where
`depends_on`	→	Angular velocity vector	declared	parts/03-classical-mechanics/01-kinematics.tex:901
`depends_on`	→	Generators of $\mathfrak{so}(3)$	declared	parts/03-classical-mechanics/01-kinematics.tex:901