# tangent vector

## 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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Denote by e(t) := [gamma](t) the unit tangent vector of [gamma](t).
By using the pseudo orthonormal frame given by (Equation 2) we already computed the energy of tangent vector T and parallel frame vectors [E.sub.1], [E.sub.2], [E.sub.3] for timelike curve [alpha] [member of] [E.sup.4.sub.1], (Korpinar & Demirkol, 2017).
We can choose this local coordinate system to be the Serret-Frenet frame consisting of the tangent vector [??](t), the binormal vector [??](t), and the normal vector [??](t) vectors at any point on the curve given by
Based on the differential geometry , the tangent vector [??] at this point should be
Here d[x.sup.[mu]]/d[lambda] is defined as the tangent vector fields to the radial null geodesics and [R.sub.[mu][nu]] is the Ricci tensor.
where X is a tangent vector field on [[summation].sup.n].
A fiber pathway can be considered as a 3D curve, and its local tangent vector is consistent with the diffusion orientation .
Given a tangent vector field X, JX is also tangent to S.
The projective tensor [h.sub.ij] = [[bar.g].sub.ij] + [u.sub.i][u.sub.j] is used to project a tangent vector at a point p in [bar.M] into a spacelike vector orthogonal to u at p.
6 depicts the tangent vector at the event point earth.
where k is the curvature, s is the arc length such that ds/dt = [absolute value of r'], and e and n are, respectively, the unit tangent vector and the normal vector at each point of the curve r(t).

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