参数方程

A uniform fast calculation model for R22 thermodynamic and transport properties on Saturation curve, covering temperature from the three-phase point (115.8K) to the critical point (369.3K), is rendered.

在马丁侯系列方程的基础上提出R22在饱和线上热物理性质统一的显式计算模型，并且达到已知饱和线上13个热物理参数（温度，压力，比体积，密度，焓，熵，定压比热容，定容比热容，动力粘度，运动粘度，热导，音速，表面张力）的任意一个，即可求得其它所有参数。

Uniform fast calculation model for R22 thermodynamic and transport properties on Saturation curve, covering temperature from the three-phase point (115.8K) to the critical point (369.3K), is rendered.

bstract 在马丁侯系列方程的基础上提出R22在饱和线上热物理性质统一的显式计算模型，并且达到已知饱和线上13个热物理参数（温度，压力，比体积，密度，焓，熵，定压比热容，定容比热容，动力粘度，运动粘度，热导，音速，表面张力）的任意一个，即可求得其它所有参数。

Based on the stacking of data matrix, real-processing of signal subspace, complex shift invariance equation and joint eigenvalue estimation, an algorithm is presented to solve this problem and handle the estimation jointly.

基于数据矩阵的重新排列、信号子空间的实数化处理、复数移不变方程以及联合特征值估计，推导出联合估计参数的ESPRIT类算法，该算法将参数估计问题转化为3个具有实特征值的实数矩阵的联合特征值估计问题。

According to Shilnikov Theorem, on the condition that satisfies the basic characteristics of heteroclinic orbit, Shilnikov inequality and the eigenvalue equation, by finding a heteroclinic orbit consist of three geometric invariant sets, namely unstable manifold, heteroclinic point, and stable manifold, a set of real parameters accordance with the condition of existing heteroclnic orbit is obtained in this chaotic system.

根据Shilnikov定理，在满足异宿轨道基本特性、Shilnikov不等式和特征方程条件下，通过寻找该系统中一条由不稳定流形、异宿点和稳定流形三个几何不变集构成的异宿轨道，在分段Sprott系统中导出了存在异宿轨道时该系统中各个参数应符合的条件，并找到了一组对应的实参数，由此证明了异宿轨道的存在性。

Then, it studies the supply chain management system as a complex system to confirm the state existing during operating of the system. After that, it conducts a probability analysis on the state which the system located by applying supplement variable method, and establishes the model of distributed parameter system in a form of partial differential equations. Combining C0 ? semigroup theory in the functional analysis, it conducts a dynamic analysis on the established mathematical model. Using this method, it obtains the mathematical expression of the dynamic solution and the steady state solution, and proves the uniqueness, non-negativity and the asymptotic stability of the system solution. This dissertation applies the Matlab tool and uses two-step, three-step Simpson integral equation to imitate the condition of system solution. Then, it adds possible mode of failure and the optimization adjustment state to the system, based on which it has established the distributed parameter system model which is described by partial differential system of equations. Combining the functional analysis C0 ? semigroup theory, it studies the established mathematical model, and obtains the mathematical expression of the dynamic solution system and the steady state solution. It has proven the existing of uniqueness of the system solution, the asymptotic stability of system solution and the system solution. In addition, it has lying the theory rationale for further analysis and the research on the optimization of system.

本文首先简要综述了供应链理论、可靠性研究、鲁棒性研究以及供应链鲁棒性研究的现状；然后，将供应链系统作为一个复杂系统来分析，确定了系统运行过程中所经历的状态，通过引入补充变量的方法，建立了用偏微分方程组描述的分布参数系统模型，用泛函分析中的C_0 -半群理论得到了系统动态解和稳态解的数学表达式，证明了系统解存在的唯一性、非负性和指数阶渐近稳定性；并借助Matlab工具，利用二阶、三阶辛普森积分方程模拟系统解的性态，并给出系统动态解的仿真图；本文又对上述系统增加了系统可能失效状态和优化调整状态，并在此基础上建立了用偏微分方程组描述的分布参数系统模型，同样用泛函分析中的C_0 -半群理论对所建立的数学模型进行了研究，得到系统动态解和稳态解的数学表达式，证明了系统动态解存在的唯一性、非负性及渐近稳定性，为进一步分析和研究供应链优化奠定了理论基础。

Topological indexes of A , B , C and D were all obtained from the different combination of topological vertex degree. A QSAR equation for this series of compounds was established based on the multi-linear regression method and a new group of autocorrelation topological indexes. The results showed that the biological activity is linearly correlated with the volume and branching size of the quinclorac derivatives. Finally, new herbicide was designed based on all QSAR results.

针对应用经典结构参数和量子化学参数得出的结果不够理想的问题，对点价自相关拓扑指数进行了研究，建立了一组新型的点价自相关拓扑指数A、B、C、D；首次将该指数用于除草剂氯喹酸酯类化合物的定量构效关系研究中，建立了很好的定量构效关系方程，综合分析所有的QSAR结果设计出了潜在的新型除草剂氯喹酸烯丙酯。

On the basis of kinematics analysis and model transformation, an error equation of the robot kinematics parameter is established with numerical optimization, and the optimal design for kinematics parameter is realized, which effectively increases the repositioning precision of the robot.

在运动学分析和模型变换的基础上，运用数值优化技术建立了机器人运动学参数的误差方程，实现了运动学参数的优化设计，有效提高了机器人的重复定位精度。

The stability condition and local truncation error for the schemes are discussed.

对求解三维热传导方程利用待定参数法构造出一族对称的含参数的，截断误差为O的便于计算的三层显格式，并讨论了其条件稳定性。

According to extensive sensitivity analysis, this method has a good stability and can solve the unposed problem which often appears in inverse problem.

并用该方法构造了参数识别的有限元迭代格式，及进行了离散，得出了伴随方程定解问题和参数扰动梯度的离散公式。

By introducing the temperature and acentric factor into the mixing rule of attractive part of the equation of state, a new expression was set up.

对状态方程的引力项混合规则进行了改进，将温度和表示物质结构的偏心因子引入引力项混合规则中的相互作用参数，建立了引力项相互作用参数表达式。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。