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Presented a mathematic model for the algorithm and proved its convergence characteristic, this image reconstruction algorithm made the iteration step was optimal on the premise of convergence.

给出了算法的数学模型，完成了算法的收敛性分析和证明，算法在图像重建中使迭代步长在保证收敛的情况下达到最优。

In chapter 3, the control object of this subject, which is a three-link gymnastic robot on horizontal bar with limited joint torque and joint angle is brought forward and its mathematic model is developed. After simulating of the movement of the gymnasts, the control task of this subject is designed as a series swing-up and balance movement, the key point of control is analyzed.

第三章，提出本课题研究的对象：关节力矩和旋转角度受限的三连杆单杠体操机器人，推导了它的数学模型；提出要完成的控制任务：模仿体操运动员上杠动作而设计的摆起倒立动作，分析了这套动作的控制关键。

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。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。