binormal

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.
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Okulov (2005) expresan la posicion de un punto dentro del vortice en dn sistema coordenado de Frenet-Serret (entiendase como un sistemo qua se mueve con el vortice y (cuyos ejes coordenados son [??] a lo largo del vector normal, [??], [??] a lo largo del vector binormal, [??], y s la longitud de arco a lo largo del vector tangente, [??], asociados a la linea central del vortice y desde el cual es posible definir el sistema cilindrico (r, [theta], s)), y (ton ello re-escribir parte del potencial mediante el operador de desplazamiento de Dyson (1893)
The advantage and necessity of this frame is that it has no vanishing curvature, which solves a serious problem working on usual Bishop frame since zero curvature prevents to define normal and binormal vectors.
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
where d[V.sup.2.sub.n-2] and [[epsilon].sub.[xi][eta]] represent the volume element on (n - 2)-dimensional space-like bifurcation surface ([SIGMA]) and binormal vector to [SIGMA] satisfying the relation [[epsilon].sub.[xi][eta]][[epsilon].sup.[xi][eta]] = -2.
The four unit vector functions are called the tangent, normal, first binormal, and second binormal.
Negative response latency was observed when the size was larger than 3.2 x 3.2mm (p < .05, Binormal test).
The Maximum likelihood estimation of a binormal Receiver-operating characteristic (ROC) curve from categorical rating data at 95% confidence interval was calculated (JROCFIT Version 1.0.2).
Approximated ROC curves were calculated on the basis of a binormal model to compare the area under the curve (AUC) (16).
Under mild conditions we will see that a curve motion following (2) describes a curve [gamma] evolving under the binormal flow, with velocity depending on curvature and torsion (19), and determines an immersed surface, [S.sub.[gamma]], in [M.sup.3.sub.r] ([rho]).
[e.sub.1] and [e.sub.2] are the unit vector in tangential and normal direction, respectively, and [e.sub.3] is the binormal unit vector.
The binormal selection curve is the addition of two normal curves with a weighting factor (w) (Santos et al., 2003; Madsen, 2007) and the relative retention in this case is given by:
They can also import 3D scenes and contents from an existing 3D PDF as well as convert all polygons to triangles of a 3D model, and may also generate tangent and binormal data for all meshes in 3D models.