曲线坐标

As the center or the Algebra subalgebra of a algebra plays an important role in reducing the number of state variables, the cartan subalgebra is a maximum Abelian subalgebra of an algebra, so it can be a powerful tool for the structure simplification of control systems.

由于代数的中心，或交换子代数在系统的变量降低方面具有重要作用，而Cartan子代数是李代数的极大交换子代数，因而它能成为简化系统结构的有力工具，第二部分利用向量场的积分曲线所定义的映射，构造出一个S—坐标，在该坐标下任一向量场都有一个标准的表示方法，一种无穷级数表示方法。

In the elliptic curve binary field,it needs less computation amount for that the Montgomery algorithm only computes the x coordinate in the whole course and gets the y coordinate in the last step.

在椭圆曲线二进制域上，Montgomery算法利用在计算kP过程中只需计算x坐标，在最后才恢复y坐标的特性，使该算法的计算量更少。

The Filter By Distance to UV Location compound reduces the number of particles based on their distance to a specific UV location on a NURBS surface or curve object.

Filter By Distance to UV Location（通过UV坐标距离过滤粒子发射）复合节点是通过测量到曲面或者是曲线的一个特殊的UV坐标来过滤粒子发射。

The longitude curve and the latitude curve are the coordinate curve in the new geodetic coordinate system with length as coordinate parameter.

本论文中引入一种新型的大地坐标系，这种坐标系是以经纬线为坐标曲线，以长度量为坐标参数的新型坐标系。

This paper introduces mathematical model to calculate central line and side line geodetic coordinate of road unsymmetrical curve, which is suitable to symmetrical curve and circle curve, and discusses in details.

提供了计算道路不对称曲线中线大地坐标、边标桩大地坐标完整的数学模型。

Ifandare continuous functions andis a smooth curve C which runs from a to b asvaries, then the corresponding line integral with respect to coordinate variables or line integral of the second type is expressed as follow

定义 设和是连续函数，是一光滑曲线，从a变到b，则对应的关于坐标的曲线积分或第二类曲线积分为

In the main-process, the coordinates of nodal points on part outline curve can be calculated by replacing this curve with a linear approximation. The codes expressed in NC program form which can be recognized by NC machine tool are got according to the coordinates of these nodal points in the post-process.

在前置处理中，用直线逼近零件轮廓，得到轮廓曲线的节点坐标：在后置处理中，根据这些节点坐标按照数控程序的格式得到数控机床可以辨认的程序代码。

The principle of parallel coordinates are introduced firstly,then the differentiable curves' representation in parallel coordinate space is derived.

本文首先阐述了平行坐标的基本原理，并且推导了欧式空间的可微曲线在平行坐标空间的表达形式。

Combined with the complex features of GPS coordinates calculation on gyrated line points on expressway and city overpass ramp,it introduces the calculating methods of gyrated line s transformation to alleviated curve.

结合高速公路和城市立交匝道上回旋线段任意点的GPS坐标计算的复杂性，详细地介绍了回旋线段转化为缓和曲线的计算方法，并通过工程实例进行了说明，以达到快速准确地计算回旋线段任意点的GPS坐标的目的。

By the use of Circling cluster and Envlopment theory and flat surface sit-mark transformation theory, the chain wheel tooth equation of roller chain at high speed to match conjugage engagement is deduced.Establishing chain speed equation of roller chain at high speed,based on the analysis of the speed curves between roller chain at high speed and common roller chain,good drive of roller chain at high speed is verificated theoretically.By a example that move distance from transverse vibration between roller chain at high speed and common roller chain is contrasted,the accuracy of those theories that the paper brings up and higher functions of roller chain at high speed is proved.Finally, Establishing conjugage engagement line equation of roller chain at high speed and analyzing the complete engagement zone, the chain wheel tooth curve equation is studied at a higher degree. At the same time,the lack's place of the research result is pointed out.

依据高速滚子链设计要求与H_y-V_0齿形链的研究，阐述了滚子链传动实现准共轭啮合理论可能性；利用圆族包络法结合平面坐标变换理论推导出了满足共轭啮合的高速滚子链的链轮齿廓曲线；建立起高速滚子链链速方程，通过对高速滚子链与普通滚子链链速曲线的对比分析，从理论上验证了高速滚子链具有良好的传动性能；最后，建立起高速滚子链共轭啮合线方程，对其整个啮合区间进行了分析，进一步研究了链轮齿廓曲线方程，确定了主要参数的设计方法的问题，并同时指出了不足之处。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。