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tangent vector

   Also found in: Wikipedia 0.01 sec.
tangent vector [′tan·jənt ‚vek·tər]
(mathematics)
A tangent vector at a point of a differentiable manifold is any vector tangent to a differentiable curve in the manifold at this point; alternatively, a member of the tangent plane to the manifold at the point.


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The unit tangent vector, the curvature, the torsion, the normal and the binormal of the curve C at the point P are given as follows: t = dr/ds (1) dt/ds = kn (2) dn/ds = -kt + [tau]b (3) db/ds = -[tau]n .
In this textbook he covers tensors, the foundations of differential geometry such as tangent vector space, tensor algebra and Lie derivative and algebra, symplectic geometry, modern mechanics, including the work of Lagrange and Hamilton and perturbation, and the N-body problem as an original methods for large N in terms of equations and integrals and statistical mechanics.
By definition, in climb hobbing the tangent vector of the hob rotation is in the opposite direction of the hob travel, and the hob chip will start out thick and get thinner as it is developed.
 
 
 
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