binormal


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binormal

[bī′nȯr·məl]
(mathematics)
A vector on a curve at a point so that, together with the positive tangent and principal normal, it forms a system of right-handed rectangular cartesian axes.
References in periodicals archive ?
Two desingularization procedures are carried out (including a time renormalization) to obtain an evolution equation (the binormal equation).
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.
The pipe diameter changes are evaluated in two directions: first is in the radial direction, second is in the binormal direction.
These analysis procedures were carried out for the bivariate binormal and critical illness data sets.
Analogously, osculating curves in the Minkowski space-time are defined in [6] as the space curves whose position vector (with respect to some chosen origin) always lies in its osculating space, which represents the orthogonal complement of the first binormal or second binormal vector field of the curve.
They found parametrization of constant slope surfaces for the tangent, the principal normal, the binormal and the Darboux indicatrices of a space curve.
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:
1] such that, at the corresponding points of the curves, the principal normal lines of x coincide with the binormal lines of [x.
The vectors T, N, B are called the vectors of tangent, principal normal and binormal line of [alpha], respectively.
1) are called the vectors of the tangent, principal normal and the binormal line of c, respectively.
37) or the binormal method if the sample size of the endpoint was <30 (38), and we compared results with the method of Zhou et al.
At each point of a differentiable curve a tetrad of mutually orthogonal unit vectors (called tangent, normal, binormal, and trinormal) was defined and constructed.