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Frenet-Serret formulas
Frenet-Serret formulas In vector calculus, the Frenet-Serret formulas describe the dynamic properties of ... their (independent) discoverers: the Frenchmen Jean Frédéric Frenet and Joseph Alfred Serret. Let s(t ... T} \qquad \qquad (5) . Then the Frenet-Serret formulas are: |
Differential geometry of curves
... differential geometric properties of a curve (length, frenet frame and generalized curvature) are invariant under reparametrization ... Lagrange equations of motion for this action. Frenet frame A Frenet frame is a moving reference frame ...
http://en.wikipedia.org/wiki/Differential_geometry_of_curves - 24k - Cached - Similar pages
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Talk:Twin paradox/Archive 01
... calculate the elapsed time in the reference frame of each twin and the twin who ... returns five years later. In the reference frame of earth, the spaceship leaves at (x ... us look at things from the reference frame of the spaceship. The key equation in ... moving to the star. In the reference frame of the ship, its position (x') is ... 2, which means that in the reference frame of the ship, three years have ...
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Talk:Differential geometry of curves
... fairly sure the definition given for the Frenet vectors is wrong. E.g, the second ... for spellchecks and the remark on the frenet vectors.MathMartin 12:57, 22 May 2004 ... reference to the variable t because the frenet vector e i depends on t. The moving frame part of the frenet frame should be made clear because ...
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Darboux vector
... is the areal velocity vector of the Frenet frame of a space curve. It is named ... to angular momentum. In terms of the Frenet-Serret apparatus, the Darboux vector ω can ... from Equation (1) by means of the Frenet-Serret theorem (or vice versa). Let a ... keep itself aligned with the curve's Frenet frame. As it does so, the ...
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Kinematics (translated from French)
... differential calculus. Synopsis Basic definitions A reference frame should initially be defined, i.e. a ... clock; one in general uses the reference frame related to laboratory, for example whose axes ... defines a local reference mark called "of Frenet "for each moment; in a point of ... direct. It is not a mobile reference frame compared to the reference frame of the study, it is disposable ", ...
http://fr.wikipedia.org/wiki/Cinématique - 29k - Cached (French) - Wikipedia (French) - Similar pages
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List of differential geometry topics
... geometry of curves List of curve topics Frenet-Serret formulas Curves in differential geometry Line ... paradox Fiber bundles Fiber bundle Principal bundle Frame bundle Hopf bundle Associated bundle Vector bundle ... theory Covariant derivative Levi-Civita connection Moving frame Parallel transport Torsion (differential geometry) Other Envelope ...
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Torsion of connection
... for instance. See also connection form. Curvature Frenet Frame
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Category:Differential geometry
... Finsler manifold Fisher information metric Flag manifold Frenet-Serret formulas Frobenius theorem Frölicher-Nijenhuis bracket ... signature Minimal surface Monodromy Monopole (mathematics) Moving frame N Nonmetricity tensor O Orientable manifold Osculating ...
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