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11. Glossary
Lie group; Lie group
The space of degrees of freedom for a UAV has a very specific algebraic structure, corresponding to a Lie group.
Lie algebra; Lie algebra
The velocity space of a drone (including translation and rotation) forms a vector space with special properties. The associated algebraic structure, called a Lie algebra, is to be mapped onto the Lie group. This correspondence is made through the exponential.
Geodesic; geodesic
A geodesic is a shortest path curve on a differential variety. Geodesics are used by drones to plan a trajectory on a curved surface, such as going from one city to another on Earth, taking into account its rotundity.
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