参数表示法

The relation of the chromatographic retention indices of alkene to topological index,double bond atomic hybridization state index,polarizability effect index of branched chain to double bond atomic,immobile liquid polarity values and column temperatureat different temperatures on different stationary phases was studied.

通过对部分烯烃在不同固定相不同柱温下的1031个样本集的气相色谱保留指数值与其部分参数关系的研究，发现RI与拓扑指数、双键原子杂化状态指数、支链对双键的极化效应指数、固定液极性值及柱温的关系可表示为：^RI=-58.138+57.7460Q-8.2591Q+0.120T+0.807CP+36.460PBD+7.919DHSI(R=0.9989)继以留一法(Leave-one-out，LOO)进行交互检验，相关系数RCV=0.9977，说明所建模型具有良好的稳定性和预测能力，较好地揭示了烯烃类化合物气相色谱保留指数RI随固定相极性、柱温的改变而变化的规律

Using the sectional force and torque balance method to consider the effects of load force and temperature,provides a more completeness and systematic mathematical model.The working characteristic of bimetal strip is expressed by equivalent network.

采用综合考虑负载作用力及温度影响的分析条形双金属片的截面力－力矩平衡法，给出了较完整系统的数学模型；将双金属片用等效网络表示，用网络分析手段求解温度继电器、热继电器的工作参数；分析了在比弯曲最大的条件下各层界面、表面应力关系。

Using a perturbation method, these linearized equations are solved for a composite sphere with the charge densities of the rigid core surface and of the surface layer as the small perturbation parameters. Analytical expressions for the settling velocity and electrophoretic mobility of the composite sphere in closed form have been obtained from a balance among its hydrodynamic, electrostatic, and/or gravitational forces.

以复合粒子之固体核心表面的电荷密度和多孔性表面层内的固定电荷密度为二个微小扰动参数，应用正规微扰法来求解这些已线性化之主导方程式，再藉平衡作用於复合粒子的重力、静电力和流体阻力等三种力后，可得到带电球形复合粒子的沉降速度及电泳可动度的解析形式表示式。

Firstly, the approach formulates a cost functional to turn the inverse problem into a constrained minimization problem according to least squares criterion, then the resulting constrained minimization problem is transformed into an unconstrained minimization problem by using a penalty function technique, and then the closed Fr chet derivatives of the Lagrange function with respect to the properties are derived based on the calculus of variations, finally, one can solve the resulting problem by using any gradient-based algorithm and the finite-difference time-domain method.

该方法首先以最小二乘准则构造目标函数，将逆问题表示为约束最小化问题；接着应用罚函数法转化为无约束最小化问题；然后基于变分计算导出闭式的拉格朗日函数关于特征参数的Fr chet导数；最后借助梯度算法和时域有限差分法迭代反演德拜模型参数。

In this paper, the JFO condition, satisfied with global mass continuity, is incorporated into an universal Reynolds equation with micro-polar fluid which is solved for the oil film pressure using OSM and FEM. The bearing load capacity and friction resistance were given, and stiffness/damping coefficients and critical rotor mass were obtained by solving a pressure perturbation equation with micro-polar lubricants.

本文采用满足全流场质量连续的JFO边界条件，采用微极性流体的广义雷诺方程来求解油膜压力分布，进而获得油膜承载力和粘性阻力等轴承动力特性量；采用小参数摄动法得出油膜压强扰动方程，并采用有限元法解出扰动压强，积分扰动压强获得油膜的阻尼系数和刚度系数，进而求得了表示轴承油膜稳定性的临界转子质量。

Firstly,the differential equation with parameters is given,at the same time,in order to let the truncation error of differential equation reach O(Δt~2+Δx~4) as high as possible,the method of undetermined coefficent is used to appropriately select the expression of these parameters.Secondly,the stability condition of the scheme derived is given by using the Fourier method of stability analysi...

首先给出了含参变量的差分方程，并用待定系数法适当地选取了这些参数的表示式，以使差分方程的截断误差阶尽可能高地达到了O(Δt2+Δx4)；其次用稳定性分析的Fourier方法给出了所得格式的稳定性条件；然后给出了确定差分格式中参数的两种方法，得到了一个稳定性条件为r/3的分支稳定的高精度显式差分格式；最后给出了数值例子，数值结果表明了本文格式较现有同类格式的优越性和理论分析的正确性。

Feature parameters are achieved by comparing the coefficient of standard representation and general representation. As for cone, parameter of general representation has no explicit geometric meaning and can not reflect design intent.

基于二次曲面的统一表示方程，采用最小二乘法进行参数拟合，通过对比其标准形式和二次曲面的统一表示方程，确定圆柱曲面特征带有明显几何意义的参数圆柱轴线法矢量、圆柱的中心和半径。

As it can be expressed easily by argument equations, we use the conicoid as the criteria of points" classification. Based on the point"s normal and the adjacent field, corresponding to the conicoid equation such as plane, ball and cylinder, we search the points that fit the equation along the adjacent field. Using this method, we realized the automatic classification of unorganized points.The experiments using the algoritlim and criteria approved from this thesis are also carried out.

本文采用了可以比较方便地用参数方程表示的二次曲面作为数据点的分类标准，根据点的法向量以及其邻域结点的各种属性，对应于平面、球面、柱面等二次曲面，依据曲面方程的特点，从起始点开始沿邻域深度优先递归寻找符合方程的数据点，实现了散乱数据点的自动分类。

A method to find the exact points of inlet and outlet of film-thickness of the EHL is introduced. A numerical solution of TEHL of the gear using Newton relaxation method and binary search method and the method to find the exact points of inlet and outlet is developed. By means of multiple regresion, a formula to calculate TEHL flash temprature of the gear is obtained.

推导给出了齿轮承载区内热弹流热流密度方程、无量纲参数团表示的热弹流方程和油膜入口点及出口点搜索确定方法，编制了由松弛因子牛顿法、对分法及油膜入口点和出口点搜索方法等组成的便于工程实际应用的齿轮承载区热弹流快速计算程序。

The viscosity and surface tension of lubricant have been qualitatively analyzed and predicted by means of partial least squares method and quantitatively calculated using artificial neural network with structural parameters as features. The structural parameters involved distribution coefficient, molecular volume. The qualitatively or quantitatively calculated results are in agreement with experimental results.

用分子碎片法计算表示润滑剂分子结构的体积参数、电负性参数、亲水－疏水性等参数，结合偏最小二乘法和人工神经网络方法对分子结构与表面张力和粘度之间的定量关系进行了计算及预报，结果与实验值符合较好。

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。