轨迹线

Curve C at the spot P(x0, y0) curvature is the maximal circle of the curve C tangency at the spot P(x0, y0). Contrail curve G of the center D of curvature circle entitles evolute of curve C.

曲线C在点Px0，y0）曲率圆是与该曲线C相切于点P(x0，y0的最大圆，曲率圆的圆心D的轨迹曲线G称为曲线C的渐屈线。

Accoring to the polar theory of conic section, the characteristics of geometrical graphics concerning the conic section is discussed from following three aspects:the conbination of Point and line, harmony of point range and pencil of line , trace of point and enveloping of straight line.

本文根据二次曲线的配极理论，从点、线的结合性，点列和线束的调和性，点的轨迹和直线的包络三方面研究与二次曲线有关的几何图形的性质。

In this paper, a "rigid bar relative movement model" was established to illustrate the traces of the helices in wire ropes. The angular speed of a moving particle of the model was relatives to curvature tensor to derive the curvature components and torsion of helices in multi-layer wire ropes. According to long and thin rod theory of Love and Yen-Chen's theoretical model considered the contact force and frictional force, the force-deformation or force-strain relative of wire in curved wire ropes subjected axial force is derived from the curvature components and curvature increment.

本研究改以刚杆相对运动模型，直接描述钢索中钢绞线轨迹，并且透过角速度类比曲率张量之概念，推导圆弧型多层钢索内部之钢铰线之曲率分量与扭率；之后再依据Love的细长杆理论，辅以Yen-Chen在考虑接触力及摩擦力下所修正之理论模型，以曲率及曲率增量来探讨圆弧型钢索受静态荷重作用下，钢绞线之受力与变形或应变关系。

Part four will prove the following 4 theorems : theorem 1 :the curvature and torsion of the locus of foot point of the perpendicular line between the origin and the tangent line of the cylindrical spiral remains to be function t , but not trigonometric function t .

第四部分证明四个定理分别为定理1 由坐标系原点至圆柱螺线的切线所引垂线的垂足的轨迹曲率和挠率仍为t的函数，但不是t的三角函数。

These two kernel arithmetics are involved during the system developing process;angle deflexion and distance interval value .

在船舶监控系统中应用3S技术，实现了船只航迹线的动态绘制，系统能够根据船只航行方向动态显示航行轨迹，程序开发过程中涉及到偏转角度算法和距离插值两个核心算法。

According to the characteristics of directed line objects,such as track,a detailed topological relation model is proposed,thus the complex details can be captured.

针对运动轨迹等有向线对象的特点，提出了细节拓扑关系模型，以解决现有模型不能区分复杂细节的问题。

Tracks in the form of equatorial lines are sometimes found on balls as well.

在滚珠上有时也能发现赤道线式的轨迹。

The contributions of this dissertation are as follows.(1) It firstly applies the fife cycle theory to make typology and research for Chinese market system;(2) It finds the "Six curves constitute the throat" phenomena of Chinese household consumption structure macro-indicator, and thus contribute to structural theory literature;(3) It explanatorily forecasts Chinese household consumption trend by firstly using worst orbit forecasting method of reverse thinking;(4) It firstly proposes the concept of "educational urbanization development", and thus provide new angle to research urbanization in China;(5) It firstly proposes the hypothesis of "Deceleration Effect" of credit consumption on gini coefficient, i.e., income gaps can be filled by credit consumption.

本文创新之处在于：首次运用生命周期理论对中国市场经济体制进行划分和研究；发现了中国居民消费结构广义指标的"六线呈咽"现象，为结构理论研究增添了新的内容；首次逆向思维的运用最差运行轨迹预测方法，探索性的进行中国居民消费结构趋势预测；首次提出"教育型城市化发展的概念"，为研究中国城市化，提供了新的思路；首次提出信贷消费对基尼系数"熨平效用"的假设，即收入水平带来的差距可以用信贷消费的方式"熨平"。

It is proved that arc coordinates of a directed curve cannot be used as ordinary coordinates or generalized coordinate s for the motion of an Appell-Hamel particle without a fixed orbit, but they can be used as quasi coordinates.

证明了弧长坐标 s在轨道未知的 Appell- Ham el质点运动中不能作为普通坐标或广义坐标，但可以作为准坐标，指出文献 [1]中引入弧长 s坐标的做法及"Appell- Ham el质点运动的轨迹是一般螺线"的结论是正确的，但其Appell- Ham el约束是完整约束及在该质点运动中 s坐标是广义坐标的观点是错误的。

In this paper it has been proven that for Cauchy problem of quasi-linear homogeneous partial differential equation its solution always has discontinuity , and the trace of discontinuity is just the envelope of characteristic lines.

本文证明对于拟线性齐次偏微分方程的Cauchy问题，其解总具有间断性，且发生间断的点的轨迹，恰巧就是特征线的包络，另外给出了一个特例，否定了这类解必定会出现多值性的定性论断，从而使构造广义解的理论面临困难。

He and Nina moved to California and lived at 2005 Ivar Street, Apt.

他和Nina搬到加州，并在2005年伊瓦尔街，公寓生活。

Droperidol （ potently inhibits transfected HERGchannels and this is the probable mechanism for QT prolongation.

氟哌利多有效地抑制了转染的 HERG 钾通道，可能是 QT 间期延长的机制。