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specifically, the formulas describe the derivatives of the so-called tangent, normal, and binormal unit vectors in terms of each other. The formulas are named...

Washington state, US Throgs Neck Bridge, New York City, US TNB frame (Tangent-Normal-Binormal), a mathematical coordinate system Tenaga Nasional Berhad, an electricity...

curvature of 0. The unit binormal vector is the third Frenet vector e3(t). It is always orthogonal to the unit tangent and normal vectors at t. It is defined...

with the unit tangent vector T. If the curvature κ of r at a certain point is not zero then the principal normal vector and the binormal vector at that...

arc length parameter of that ribbon being the parameter (its tangent, normal, binormal frame actually gives the rotation), then these two distinct homotopy...

Frenet normal vector) B ( s ) = T ( s ) × N ( s ) , {\displaystyle \mathbf {B} (s)=\mathbf {T} (s)\times \mathbf {N} (s),}    (the Frenet binormal vector)...

analysis of three-dimensional space curves, which explains tangent, (principal) normal and binormal, is described by the Frenet–Serret formulas. Uniform or...

the thread of a machine screw. It is a type of smooth space curve with tangent lines at a constant angle to a fixed axis. Helices are important in biology...

fields for the tangent, normal, and binormal vectors can be derived using the Frenet–Serret formulas. Then, integration of the tangent field (done numerically...

system Curvilinear coordinates Four-velocity Jacobian matrix and determinant Normal vector Polar coordinate system Standard basis Unit interval Unit square...

is the arc length of C corresponding to time t. Also, suppose that the binormal component of the angular momentum does not vanish. Then the acceleration...

Biot's dihedral law is exact provided that the binormals are taken as the optic axes, and the wave-normal direction as the direction of propagation. As...

unit vector, a normal unit vector, and a binormal unit vector to the streamline, respectively. Since a streamline is a curve that is tangent to the velocity...

analysis of three-dimensional space curves, which explains tangent, (principal) normal and binormal, is described by the Frenet–Serret formulas. Technical...

\mathbf {e} _{(0)}} and are called the principal normal e ( 1 ) {\displaystyle \mathbf {e} _{(1)}} , the binormal e ( 2 ) {\displaystyle \mathbf {e} _{(2)}}...