1) directional section quantity
定向切向量
2) tangent vector with constant length
定长切向量
1.
This paper gives two necessary and sefficient conditions of a space curve that has tangent vector with constant length and preliminarily discuses the features and applications of this kind of curves.
给出了空间曲线具有定长切向量的两个充分必要条件，并对此类曲线的性质及其应用进行了初步讨论。
3) oriented cutting
定向切割
1.
In order to cut and obtain accurate different orientation Ni-base single crystal superalloys,a method based on an accurate determination of orientation of single crystal superalloy with a conventional diffractometer by asymmetrical X-ray scanning mode was developed,and then oriented cutting(001) and(011) crystalline planes of the alloy was carried out on the base of accurrate orientation of and .
为了对镍基单晶高温合金进行不同晶面的定向切割,开发了用普通的X射线衍射仪,通过非对称X射线衍射技术对合金的[001]及[011]取向进行精确测定以及在此基础上对(001)和(011)晶面进行定向切割的方法。
4) tangent vector
切向量
1.
A kind of distance-based approximated tangent vector is defined and used to construct the boundary condition of piecewise cubic Hermite splines.
文章提出了一种基于距离逼近的切向量,利用这些切向量建立分片三次Hermite样条的边界条件,同时每段添加一个控制曲线松紧的张量参数,可以对曲线进行局部修改;给出了该曲线C2连续的条件,并给出插值函数保凸的充分必要条件及曲线的逼近误差;通过实例把Cardinal方法和本文方法作了比较。
2.
In this paper we give a geometricaly explicit and intuitive explanation of the definition of tangent vector on differential manifold.
给微分流形上切向量定义以明确的直观几何解释,更清晰地显示出微分流形上一点切向量的定义实际上是Euclid空间中曲面上一点处切向量定义的很自然的推广。
3.
Finally,we illustrate the effects of using the tension parameter and tangent vectors to generate subdivision curves.
最后给出一些实例来说明松弛参数和切向量对细分曲线的影响。
5) tangential component
切向分量
1.
In this note we will deal with the general evolution equations of embedded closed planar curves and give the evolution equations for the geometric quantities of the evolving curve, and then show that the tangential component of the evolution equation does not affect the final shape of the evolving curve.
讨论嵌入平面闭曲线的一般发展方程 ,并给出发展曲线的各种几何量的演化方程 ,然后证明发展方程的切向分量并不影响发展曲线的最终形
补充资料：切向量
曲线在一点处的切向量可以理解为该点的切线（带个方向箭头）。
曲面的切向量可视为切平面中的向量。
对更一般的流形m，m在点p处的切向量， 就是m中通过p点的曲线在p处的切向量。
切向量的概念是个几何概念，亦即它的定义和坐标选取无关。
因而是几何量。这是微分几何中最基本的概念。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。