参数方程

Based on the dynamics fundamental equation, the rigid ships rolling coupled oscillation model was established, then the definite condition of the coupled oscillation equation under the regular transverse wave and first-order ordinary differential equations were presented. The ship vibration rule under the regular transverse wave was analyzed by examples, simultaneously the influence of damping coefficient on the vibration type was discussed.

基于动力学基本方程，首先建立了刚性船舶横摇的耦合振动方程，然后给出了在规则横浪激励下的耦合振动方程的定解条件和一阶常微分方程组，最后通过算例计算了在规则横浪作用下船舶的振动规律，同时研究了阻尼系数等参数对其振动规律的影响情况。

This paper discusses the method of hypothesis testing on equation parameters,and the way of getting new equations to explain the speed, cceleration and jerk through calculating the differential coefficient of cubic equation.

该文还介绍了方程参数显著性检验的方法，并通过对方程进行多次求导，得到新的方程，来描述研究期间土地利用类型面积的变化速度、加速度以及加加速度。

In the present study, Hartree-Fock and Density Functional Theory with different basis sets were employed to calculate the structural and thermodynamic parameters of 66 thiophenyl, phenyl sulfoxide and phenylsulfonyl cycloalkane carboxylates. With the statistic software SPSS11.5 for windows and GQSARF2.0, the QSAR models relating physicochemical properties of these compounds to their structural and thermodynamic parameters were successfully obtained, using multiple stepwise regression method. The physicochemical properties observed in this work include octanol/water partition coefficient, chromatographic capacity index, toxicity (EC50 and LC50), and solubility etc.

本文采用从头算方法中的Hartree-Fock 方法、密度泛函理论方法(Density functional theory，简称DFT)中的不同基组，计算了苯硫基、苯亚砜基和苯砜基含硫芳香羧酸酯三类共66 个化合物的结构参数和热力学参数，利用SPSS11.5 for windows 统计软件和GQSARF2.0 软件，采用多元逐步回归法拟合得到与溶质-溶剂相互作用有关的物理化学性质与结构参数和热力学参数之间的QSAR 方程，这些物理化学性质包括辛醇/水分配系数、色谱容量因子、毒性(EC50和LC50)、溶解度等。

By using the theories of conservation of momentum,conservation of energy and hydrokinetics,a mathematical model for describing the relationship among the fluid parameters,the formation parameters and the vibrant operation parameters was established.The analytic solutions of one-dimensional and radial transfusion equation for compressive and single-phase fluid flow through the compressive formation were obtained.The effects of each parameter on the vibrant operation were also gotten.On the basis of the above results,the computation models were established.

应用动量守恒、能量守恒、流体动力学等基本原理，建立了地层参数、流体参数和振动作业参数之间相互耦合的数学模型，求出了单相微可压缩流体在可压缩地层中的平面一维和平面径向渗流方程的解析解，得到了各项参数与振动作业效果之间的关系，为振动采油的数值模拟提供了初始压力分布表达式。

The results indicated that both binary interactive parameters of water/isobutanol system from this work and the parameters of water/ethanol from literature can be used to precdict the liquid-liquid equilibria of water/ethanol/isobutanol. But the parameters of ethanol/isobutanol from the literature were not appropriate for the prediction. Furthermore, the model parameters from 30℃ can can be used to predict the liquid-liquid equilibria under 35 ℃. The model parameters of water/isobutanol are independent on the temperatures, so constant parameters irrelative to temperature can meet prediction accuracy. Othmer-Tobias/Bancroft equation was also used to fit the liquid-liquid data of water/ethanol/isobutanol system, but it didnt possess the performance of predicting the liquid-liquid equilibria.The partition coefficients of dipotassium glycyrrhizinat were determined in the liquid-liquid two-phase system of water/ethanol/isobutanol and corrected by experiential equation.

结果表明：由本文的二元液液相平衡实验数据关联得到的水+异丁醇体系的相互作用参数和文献上由二元气液相平衡数据关联得到的水+乙醇体系的相互作用参数都具有预测三元液液相平衡关系的能力，而文献上由二元气液相平衡数据关联得到的乙醇+异丁醇体系的相互作用参数不具有预测三元液液相平衡关系的能力；可以用从30℃三元液液相平衡数据关联回归得到的模型参数来预测35℃时的液液相平衡关系；水+异丁醇的相互作用参数与温度关系不是很密切，计算时取与温度无关的常数即能满足关联精度要求；Othmer-Tobias和Bancroft经验方程可用于水+乙醇+异丁醇两相体系的液液相平衡关系的关联计算，但这类经验方法并不具有预测能力。

The parameters of conventional design of complex cross-feed and parallel-feed multi-evaporation conventional design could be obtained by solving material balance, energy balance, solid-liquid equilibrium, vapor-liquid equilibrium and heat transfer velocity equations by iterative method and matrix method.

用迭代法结合矩阵法求解系统的物料衡算及热量衡算矩阵方程、固液相平衡方程、汽液相平衡方程和传热速率方程，可以得到复杂错流、平流多效蒸发系统常规设计的各种参数。

Therefore, the study is significant both theoretically and practically. As a result, the studying aim of this paper is to establish a practical and complete system for the prediction of ship maneuvering motion, taking into account of the influence of the environmental factors, such as the wind, wave and current, establish a practical and complete system for the prediction of ship maneuvering motion. In this paper, the OpenGL virtual reality simulation technique is introduced into the field of ship maneuver and control, and using the MMG mathematical model, the three dimensional dynamic simulation system of the ship motion is established and good results are achieved. In the process of the system development, firstly, the maneuvering motion equations for ship in the still water are established, based on the MMG module mathematical model and serial experimental result. After compiling the program, the calculation results are compared with the experimental data, the coherence between them validate the mathematical model.

在系统开发过程中，首先采用MMG分离式数学模型及相关的系列化试验结果，建立单桨单舵海洋运输船舶在静水中的船舶操纵运动方程，并编制计算程序，经与试验结果比较，证实了计算结果的正确性；为了解MMG数学模型中模型参数变化对操纵性指数的影响程度，作者在上述已有程序基础上，对有关模型参数进行偏移修正，探讨了相应参数变化后的操纵性指数，对船舶操纵性指数对模型参数的灵敏度进行了详细的分析与探讨，所得结论与工程实际相吻合，具有实际应用价值，并为进一步提高船舶操纵性预报的精度打下了基础；然后，在已有的船舶静水操纵运动模型基础上，考虑双桨双舵的影响，建立了内河双桨双舵船舶的操纵运动模型；最后，综合考虑风浪流作用力的影响，进行了船舶的操纵运动仿真计算。

The experiment data of paramecium from Gause was used to investigate the efficiency of the method. And the twelve nonlinear real examples from "Agricultural Experimental Statistics" written by Mo Huidong were used to compare the difference between results fit by the Excel and the linear transformation method, respectively. The result showed that the Excel fitting method is not only simple and efficient for the parameter estimation but can fit various complex nonlinear equations also.

采用Gause的4组草履虫数据，研究了用Excel的&规划求解&工具进行非线性方程拟合的有效性，并以莫惠栋的《农业试验统计》一书中的12个非线性方程实例，比较了用Excel拟合与用常规线性转换方法拟合的差异，结果表明：用Excel进行非线性方程的拟合不仅简单易行、获得更优的参数估计，而且可以拟合各种复杂的非线性方程。

An algorithm called initial function method for the solution of differential equation with tension is also given.

推导出了不考虑拉伸和考虑拉伸情况的弹性环形变微分方程，导出了求解不考虑拉伸情况的弹性环形变微分方程的差分方程和算法，还给出了可谓之初参数法的求解考虑拉伸情况的弹性环形变微分方程的算法。

To determine the pilot dimensions on which the kinetic stabilization adjustment design of ejection seat depends,regression analysis of 292 pilots' dimensions and their combined gravity centers of pilot-seat systems were conducted. Stature and body weight were determined to be the depending parameters, and the regression equations were derived.

为确定火箭弹射座椅动力稳定调节方法设计所应依据的人体参数，对292例飞行员的人体参数及人椅系统组合重心数据进行了回归分析研究，综合确定了以体重和身高作为调节依据参数，并求出了该参数与人椅系统组合重心的回归方程。

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。