As presented in , the steering axis is expressed by its direction unit vector
u, and a position vector [r.
Their respective unit vectors
are [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] as in Fig.
bi] which is determined by the path velocity unit vector
s] [less than or equal to] k, and let [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] be arbitrary unit vectors
such that [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is orthogonal to all preceding columns [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] of [V.
0] is the distance function from the source point (a, [phi], z') along the helix wire to the field point ([rho], [phi], z) at a certain arbitrary point in the far-field region, lo the unit vector
of the current distribution tangential to the helix wire, and [DELTA][phi] the phase difference between the source point and the field point on the x-y plane.
At each point of a differentiable curve a tetrad of mutually orthogonal unit vectors
(called tangent, normal, binormal, and trinormal) was defined and constructed.
Let L be the family of all zonotopes that can be written as sum of line-segments parallel to given unit vectors
The unit vectors
ei and c3, used in the above expressions are determined respectively using the following expressions:
In the case of a differentiable curve, at each point a tetrad of mutually orthogonal unit vectors
(called tangent, normal, binormal and trinormal)was defined and constructed, and the rates of change of these vectors along the curve define the curvatures of the curve in the space [E.
From the previous result, it is clear that an anti-invariant submanifold of a Sasakian space form tangent to the structure vector field can not satisfy the Chen-Ricci equality for arbitrary unit vectors
To address this situation, we introduce two unit vectors
Construct a vertical plane by clicking on the y and z unit vectors
at the centre of the screen.