unit tangent

unit tangent

[′yü·nət ′tan·jənt]
(mathematics)
A unit vector in the tangent plane at a point of a surface.
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5M64 surface course 450 LF Beam guide rail 8 unit tangent guide rail terminal, 25~ length.
For a unit tangent vector v [member of] UM, we denote by [[gamma].
p]M, which contains the velocity vector [gamma]'([mathematical expression not reproducible]) of the initial geodesic [gamma] at P, can be decomposed into two independent (not necessarily orthonormal) unit tangent directions [mathematical expression not reproducible].
C] = (50, 28, 3), which induces a corner (velocity discontinuity) of the composite geodesics with two unit tangents ((-0.
Since the curve [alpha](t) is also in space, there exists Frenet frame {T, N, B} at each points of the curve where T is unit tangent vector, N is principal normal vector and B is binormal vector, respectively.
Moreover, the tangent vector [alpha]'(t) is in the direction of the unit tangent T(s) of the reparametrization, so T(s(t)) = [alpha]'(t)[absolute value of [alpha]'(t)].
We denote t(v) = f'(v)and we call t(v) a unit tangent vector of f at v.
let us consider the Darboux frame fields T, g, n, where T is the unit tangent of [?
which defines a unit tangent vector field on M and consider [e.
2m+1] is called a [phi]-section if it is spanned by X and [phi]X, where X is a unit tangent vector orthogonal to [xi].
1] is the timelike unit tangent vector field of (C, [xi]).
3)) holds identically for all unit tangent vectors in [T.