查询词典 plane curve

First, a map between the cones and tangent surface on C-Bézier curve und two-dimensional plane is found respectively and then a ruled surface between two Bezier curves is constructed and a sufficient condition on its developablity is given.

zier曲线上锥面、切线曲面的展开方法。然后，构造两条空间B？zier曲线上的直纹面，给出了它成为可展曲面的一个充分条件，并通过保角保长原则，将其贴合到平面上。

Assuming the initial shape of a skirt to be an n-sided cylinder, the shape of its bottom edge can be modified by changing the distance between each edge and the centroid of bottom plane according to the amplitude of sine curve at corresponding angle.

所显示是一个n支持的圆筒，它的下缘形状可以被改变每个边缘和底下飞机之间矩心的距离修改根据高度正弦曲线在对应的角度。

The plane interval changes are discussed in three situations: interval increasing, interval decreasing, interval changing according to sine curve.

将飞机间距变化情况分为间距逐渐增大、间距逐渐减小、间距呈正弦曲线规律变化3种情况讨论。

By exploring we know that many problems in the plane can not be solved, but can be resolved by the use of space curve.

通过探讨我们知道很多平面曲线的问题在平面上无法解决，但利用空间曲线可以解决。

The yield curve in q direction in π plane is obtained from the routine triaxial test data.

首次提出了如何应用试验数据拟合屈服条件的思路与方法，并编制了相应程序。

Research on fast algorithm of point inclusion query. From the point of view of computational geometry, winding number is extended from close curve to line segment, polygon, 2-dimensional object, plane subdivision, polyhedra, 3-dimensional object and 3D subdivision.

7，研究点查询的快速算法，从计算几何的角度将环绕系数扩展到一个除闭合曲线外的线段，多边形，二维对象，平面分割，多面体，三维对象，三维空间分割等，进而构造出各种情况下的点查询代数算法。

On the one hand, the component method is introduced into flowchart design, which can not only enlarge the depth and the connotation of the flowchart, but also extend the traditional concepts of the flowchart. By combining the component method and the objectoriented method, it will be easy to illustrate the industry flow and meet with the future requirements of the industry control software. On the other hand, the trajectory concepts in plane moving, the method of using Bezier Curve to approach the 1/4 arc to implement the arc circumrotation, the method of using graphic elements' combination to extend the expression capability, and the method of combining the graphic elements'combination, three-dimensional graphic elements and bitmaps to realize the three-dimensional effects to express the industry flow more realistic are brought forward in this dissertation.

工控软件中最能够体现人机接口设计创造性的画面当属流程图，本文对流程图设计进行了深入研究，提出了一种工控软件流程图设计的新方法：一方面在流程图设计中引入部件化方法，扩展流程图的深度与内涵，延伸了流程图的传统概念与意义，将部件化技术与面向对象技术相结合，能够更好地实现对工艺过程的描述并适应工控软件的未来发展要求；另一方面对流程图中动画关联和三维化这些新兴领域进行了研究，提出了平移动画中的&轨道&概念，以实现图元的沿曲线平移，提出了在圆弧旋转动画中用Bezier曲线逼近〓圆弧的工程化方法，并用最小二乘法进行了验证和工程化参数的获取，实现了利用图元组合来扩展流程图的表达能力，采用了图元组合、三维图元和位图相结合的方法来实现逼真的三维效果，以使工控软件更加符合人机工学，更能形象地反映工艺流程。

Based on the tooth profile plane model's boundary scope and the geometry dimension of the transmission gear, the paper calculates every point's Cartesian coordinate in all parts of tooth profile, such as addendum arc, involute, dedendum easement curve, axle hole arc and other boundary line section.

最后根据齿廓的几何尺寸和五类齿廓平面模型的边界范围，计算齿廓各部分，即齿顶圆圆弧段、渐开线段、齿根过渡曲线段、轴孔圆圆弧段和齿廓平面模型上其他边界线段上点的坐标，并连接这些点生成各部分线段，从而生成齿廓平面模型。

By describing Pythagorean theorem, the first time-space view explain the plane-line thought which impacts human's thinking manner; the second time-space view is absolute time-space theory of Newton and three-dimensions space-time view intersected by space-time; the third space-time view is curve space-time view which is generated from Einsteinian relative theory. The fourth space-time view is the directional, irreversible entropy time-space thought; the fifth time-space view is dense time-space view of cracked fractal generated from chaos-fractal theory.

第一时空观是通过对勾股定理的描述来说明影响人们思维方式的平直时空观；第二时空观是牛顿的绝对时空理论，是时空分割的立体三维时空观；第三时空观是爱因斯坦的相对论理论所带来的弯曲时空观；第四时空观是具有方向不可逆的熵时空观；第五时空观是混沌与分形理论所带来的破碎分形的稠时空观。

The bifurcation and chaos behavior of impact and rubbing fault rotor system caused by the parameters of nonlinear rigidity, rotor rotating speed, eccentric mass is analyzed, in the numerical value analysis method. The bifurcation diagrams, maximum Lyapunov exponent diagrams, Poincaré maps, phase plane portraits, trajectories of journal center, time-history curve, amplitude spectra diagrams of the rotor motion are used. The convert and evolution course of periodical response, quasi-periodical response, double-periodical bifurcation, chaos of the system response is analyzed.(3). It is deduced that the general differential equation of bending-torsional-pendular coupling vibration about rotor with the gyroscopic moment. On the basis of this equation, the general differential equations of coupled bending, torsional and pendular nonlinear vibration about rotor with unbalance character and rubbing character are deduced.

2建立了具有非线性刚度的转子系统在非稳态非线性油膜力作用下的径向碰摩动力学微分方程，并应用含高阶余项的非线性动力方程的线性化数值法研究了此类系统响应的复杂动力学行为，利用转子响应的分岔图、最大Lyapunov指数曲线、Poincaré截面映射、时域波形、相轨线、轴心轨迹、幅值谱等图形分析了系统响应的周期运动、拟周期运动、倍周期分岔、混沌等运动形式的转化与演变过程，重点研究了非线性刚度、转子转速、偏心质量等系统参数对碰摩故障转子系统的分岔和混沌行为的影响。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。