这有一条平面曲线和一个向量场。
有一条平面曲线和这个平面上的向量场。
Let's say that I have a plane curve and a vector field in the plane.
然后他讨论了平面曲线的渐屈线。
提出一种快速有效的平面曲线的识别方法。
An effective method for recognition of planar curves is presented in the paper.
平面曲线与纵曲线、桥梁、视距、养护实践。
Geometric and vertical alignments, bridges, sight distances, highway maintenance practices.
重虚圆点四次曲线是很重要的一类高次平面曲线。
Bicircular quartic is a very important classics of higher plane curves.
对于平面曲线，当然还有些有趣的问题，比如可以研究各种机械配件。
With plane curves, certainly there's interesting things with all sorts of mechanical gadgets that we can study.
以平面曲线加工为例，给出了所有两自由度机床的运动方案。
Taking plane curve machining for example, the motion schemes of machine tools with two freedoms are presented.
数控加工中，平面曲线的圆弧插补前，先要在曲线上取节点。
In NC machining, the points must be obtained from plane curve before it is interpolated by arc.
讨论了平面曲线运动加速度公式在常见曲线运动中的适用性。
The applicability of the plane curvilinear motion acceleration formula to general curvilinear motion is discussed.
在计算机视觉中，平面曲线的形状分类和识别具有重要的意义。
The shape classification and recognition of planar curve plays an important role in computer vision.
从二维平面曲线的定义出发，进而扩展至三维空间柱面的定义。
The definition of spatial cylindrical surfaces is extended, amplifying on the definition of corresponding planar curves.
应用平面曲线的对称性，解决一些实际问题，常可收到良好的效果。
By using the symmetry of plain curve and usually we can get good effect in solving problems.
由完全相交的一个圆锥体和一个平面的交集所形成的闭合的平面曲线。
A closed plane curve resulting from the intersection of a circular cone and a plane cutting completely through it.
利用能量变分原理，推导出平面曲线箱梁的基本微分方程、边界条件；
On the basis of the energy-variational principle, the differential equations and boundary conditions of curved box girder are derived.
平面曲线的生成算法主要有DDA（数学微分分析器）和DCM（位移比较法）。
The two classes of planar curve generation are DDA(digital differential analyzer)and DCM ( displacement comparison method).
系统地研究了来自于射影几何中平面曲线运动的1 + 1维非线性方程的对称代数。
The symmetry algebras of 1 + 1 dimensional nonlinear evolution equation arising from the motion of plane curve in affine geometry are systematically studied.
并以轮胎模具的花纹造型为例，阐述了平面曲线向自由曲面映射在工程中的实际应用。
The method of the least distortion mapping of planar curve to free surface is also discussed.
平面曲线形状识别是最基本的模式识别问题，然而这个问题至今仍然未能很好地解决。
Shape recognition of planar curves is a fundamental problem of pattern recognition. But it has not been well resolved by now.
最后，应用这种方法进行平面曲线轮廓铣削加工试验，结果证明了这种方法的优越性。
Finally, the approach is applied on an example part for profile milling, and the results prove the advantage of this approach.
得到了框架结构稳定与不稳定时的位移时程曲线、滞回曲线、相平面曲线及能量时程曲线。
Time history curves of displacement, hysteretic curves of restoring force, phase-plane trajectory curves, time history curves of energy have been obtained.
利用实四元数理论，提出了一种将一般位置平面曲线变换到空间任意指定位置的一种简捷方法。
A new effective method which makes use of quaternion theory is presented to implement location transformation of a plane curve.
文章基于3.5轴数控铣床，利用螺旋线展开的平面曲线编程，分层切削，加工出变螺距螺纹；
Programming by the plane curve unwrapped from the helix curve and cutting layer by layer, we created the variable pitch screw on the 3.5 axis NC milling.
本文利用特征多项式方程使得二次曲面交线的平面曲线分支的求解简化成平面与二次曲面求交问题。
The planar components and straight line components of the quadric surfaces intersections are studied precisely by means of matrix algebra in this paper.
在垂向上，碳、氧同位素的变化与沉积相演化和海平面曲线相吻合，说明它们与沉积环境的演化密切相关。
Their variations are consistent with the sedimentary facies and the sea level curve, showing a good response to the sedimentary environment.
平面曲线的关键点检测可用于数字曲线的直线段逼近，因此在很多图像识别、测量及分析的场合均有重要应用。
Critical point detection (CPD) of planar curves can be well applied in approaching of curves using poly lines, which has very important applications in image recognition, measurement and analysis.
对教材《高等数学》（同济大学数学教研室主编，第四版）中关于两类平面曲线积分关系证明中的一处疏漏给出补充证明。
This paper makes some supplement for the error in demonstrating the relations between two curve line integrals in the textbook advanced mathematics (edited by Tongji university 4th edition).
本文基于刀具路径几何仿真，研究了平面曲线轮廓数控加工进给速度优化技术，这种优化技术是智能化数控加工编程的基础。
The paper presents a systematic technology of feed rate optimization on CNC planar profile milling based on geometric simulation of tool path which is the base of intelligent CNC programming.
采用这样的结构后，可以实现将主动带轮的转动转变为枢轴螺栓的平面曲线运动，实现订扣机的电机驱动，保证订扣力度和订扣质量。
The structure can convert the rotation of a drive belt pulley into the plane curve movement of the pivot bolt, realize motor driving of the stapler and ensure the stapling strength and quality.
采用这样的结构后，可以实现将主动带轮的转动转变为枢轴螺栓的平面曲线运动，实现订扣机的电机驱动，保证订扣力度和订扣质量。
The structure can convert the rotation of a drive belt pulley into the plane curve movement of the pivot bolt, realize motor driving of the stapler and ensure the stapling strength and quality.
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