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Based on the selection rules on the rotational joint fit comer, spherical joint fit comer and parallel bar interference, which are application-based, the relationships between those restrictions and mechanism parameters are deduced in the mathematic functions, especially for the compound spherical joint.

文章摘要：以6-RSS型并联机构为研究对象，建立解析形式的反向运动学方程，给出考虑驱动副转角范围、球副转角范围、连杆干涉等约束条件时的反解选取准则，推导出每种约束表达与机构参数间关系，特别是复合球副独特的附加约束表达。

Adopting generalized Jordan block and algebra equivalence transform method, all of the transfer functions at different load points can be transformed to state-space description with time variable. The steady robustness of three different mode of control systems were researched by mathematic analysis. It shows that: for the high order inertia controlled object with the characteristic of nonlinear and time-variable that described by the set of transfer functions, the Luenberger function observer established according to its any algebra equivalence state-space description, if some conditions can be met, there would be a matrix of T with n′n satisfied the Sylvester matrix equation TA- FT=GC.

采用广义约当块及代数等价变换方法，可将分段的传递函数描述转换为变参数的状态空间描述，对3种典型控制系统的稳定鲁棒性所进行的理论研究表明，对同一组传递函数描述的具有非线性和时变特性的高阶惯性受控对象，依据其任一代数等价的状态空间描述所构建的Luenberger函数观测器，在满足一定的条件时，存在n′n解阵T满足Sylvester矩阵方程TA- FT=GC。

On the basis of Ohm's and Kirchhoff's law, The mathematic model that can be used to caluculate the 3—D current distribution in alumina reduction cell was derived, and the computer program was compiled by finite differential method.

根据欧姆定律和基尔霍夫定律，用有限差分法导出了求解铝电解槽内三维电流分布的数学模型，编制了计算程序，在国内首次较准确地计算了铝电解槽内三。。。

The luminescence power of semiconductor laser diode is tested after the radiator element of laser diode is made and the drive circuit is designed. Then, chaos mathematic model is introduced to produce deterministic class stochastic signal and C langrage program, which is based on the hardware circuit design of MSP430, is designed and on-line debugged to implement the dynamic stimulation effect and avoid the body adaptability with the duty cycle of chaos sequence. The duty cycle is adjusted and controlled to accomplish the reinforcing and reducing in moxibustion. At last, Average power of laser diode is tested under the conditions of different duty cycles and the waveforms are collected by applying virtual instrument.

在半导体激光器散热装置的特别制作及工作驱动电路的设计基础上，完成半导体激光器发光功率的测试，然后引入混沌数学模型方法来产生确定性的类随机信号，在 MSP430 单片机硬件电路设计的基础上，应用单片机 C语言进行程序设计并在线调试，实现传统灸法的动态刺激效果，采用混沌序列占空比信号消除人体适应性，调整和控制输出占空比的改变以达到灸疗的补泻手法的实现，最后对不同控制占空比情况下激光器输出的平均功率进行测试，完成工作波形的采集。

This conclusion makes it clear that there is mathematic relationship between parameter ellipsoid and latitudinal density , and we have full reasons to do research on latitudinal density and latitudinal density anomaly.

这样就将不久前提出的"参数椭球"与"纬向密度"联系在了一起，使得水准椭球的纬向密度成为一种数学必然，为研究地球的纬向密度及纬向密度异常找到了充分的理由。

The principle of insurance built on the important principle of probability—law of large numbers,which is the mathematic basis of insurance.

第三部分论述了美国现代保险业的经营特点。指出经过长期发展，美国保险市场已经形成了多元化结构。

Laying-out of coordinates, elevation, subtense and coordinates determination, can be carried out by using of total stations, in which the mathematic model of laying-out excavation cutting with coordinates method is derived.

0引言放样路堑开挖线的传统方法是将仪器架设在线路中线上，沿线路中线的法线方向用距离来寻找开挖线的位置(即中线设站距离逐点逼近法)[1]。

Based on this opinion, the effect of dynamic trait loci could also be explained by inserting a Legendre polynomial in each genetic factor, and so the mathematic model for mapping dynamic trait loci was constructed.

把表型值随着时间（生命时期、年龄、胎次等）或其他可以量化的因素（生理状态、生产水平、代谢率和环境条件等）变化的性状称为动态性状。

This paper has utilized the mathematic inductive method and Leibniz theorem to study the unity advanced derivation of complex-special Function and original function, acquired their united expression.

用数学归纳法和莱布尼兹公式对一类复杂函数的高阶导数与原函数的统一性进行了研究，获得了该类函数的高阶导数及原函数的统一表述公式。

In order to study the stability of longitudinal following control system of vehicle in automated highway system,the following errors of vehicles were analyzed,a mathematic model of infinite-dimensional nonlinear interconnected large-scale system with delays was constructed,and the stability of the system was studied by applying vector Liapunov function .

为了提高自动化高速公路车辆纵向跟随控制系统的稳定性，建立了关于车辆跟随误差的具有时间滞后的无限维非线性关联大系统模型，应用向量李雅普诺夫函数对大系统的稳定性进行了分析。

Objective:To explore the feasibility of laparoscopy in diagnosing and treating of abdominal diseases.

目的：探讨腹腔镜用以诊断腹部外科疾病及选择治疗方案的可行性。

The lifetime of nylon 1010 and nylon 1010/POSS composites decreased with increasing temperature.

热重-红外联用分析表明尼龙1010在氮气气氛下的降解产物主要为小分子的低聚物，POSS并不改变尼龙1010降解产物的组成。