查询词典 regression equation

Unitary linear regression is done between w~e、 w~ρ、 e~ρ、w_L~w_P. For α_v 、 C_ c between w、ρ、 e、 w_P in eastern China, unitary linear regression is done to silty clay as well as multivariant regression with coefficient iteration method and least-squares procedure are done to all kinds of soil, and the two results are compared. Unitary linear regression and multivariant regression are done to c_q、φ、 c_d、φ_d between e and I_P. Unitary linear regression and multivariant linear regression are done to napierian logarithm of q_u between e 、 I_L、 w_P and w_L, then the equations of regression are checked with other parameters.

对物理指标含水量～孔隙比、含水量～湿密度、孔隙比～湿密度、液限～塑限作了一元线性回归；对华东地区粉质粘土的压缩系数、压缩指数和含水量、湿密度、孔隙比及塑性指数作了一元线性回归；对华东地区所有土类的压缩系数、压缩指数和物理性质参数用系数迭代法和最小二乘法作了多元线性和非线性回归，并对两种方法得到的回归结果作了比较；作了快剪强度指标和固结快剪强度指标关于孔隙比和塑性指数的一元线性回归和多元线性及非线性回归；对无侧限抗压强度的自然对数值和孔隙比、液性指数、液限及塑限作了一元和多元线性回归，并用其它工程的参数对回归方程进行了检验。

In this topic, the dynamic analysis methods for piezoelectric vibrator are studied systematically based on the theoretical model, FEM numerical experimentation and FEM governing equation for given compound-mode vibrator, and some valuable conclusions are obtained. The main work accomplished is summarized as follows: 1.Elaborate the main modeling methods for piezoelectric vibrator and the significance and necessity to study the dynamic characteristics of piezoelectric vibrator which emphasize the urgency of this paper. 2.Take the bending deformation induced by piezoelectric ceramic as example, the energy transfer mechanism of electric energy to mechanical energy are analyzed; the motion and force transfer mechanism are analyzed for the longitudinal-bending vibrator. 3.Based on mode assumption and Hamilton principle, the coupling model of piezoelectric vibrator of linear USM is built; moreover, the equivalent circuit model is obtained and a coupling equation represents the relation between electric parameters and mechanical parameters is derived which provides foundation to match the vibrator and driving circuit. 4.Combine the constitutive equation of piezoelectric ceramic with elastic-dynamical equation, geometric equation in force field and the Maxwell equation in electric field and the corresponding boundary condition equation, the FEM control equation for piezoelectric vibrator of USM to solve dynamic electro-mechanical coupling field is established by employing the principle of virtual displacement. The equation lays the foundation to study the non-linear constitutive equation of piezoelectric ceramic driven by high-power. 5.Define the dynamic indexes of characteristic of vibrator and carry out variable parameters simulation by calculating the model parameters and the electric characteristics of vibrator are simulated according to the equivalent circuit model. By numerical experimentation, the working mode of vibration of vibrator and the shock excitation results of the working frequency band which provides the mode frequency to realize bimodal are analyzed. Detailed calculation of the electro-mechanical coupling field parameters is made by programming the FEM control equation.

本课题从理论模型、有限元数值试验、有限元控制模型等方面以复合振动模式振子为例对超声电机压电振子的动力学特性及其分析方法进行了全面系统地研究，得出了许多有价值的结论，主要概括如下： 1、阐述了目前针对超声电机压电振子的主要建模方法，对压电振子动态特性的研究意义和必要性进行了论述，突出了本文研究内容的迫切性； 2、以压电陶瓷诱发弹性体发生弯曲变形为例，分析了压电陶瓷通过诱发应变来实现机电能量转换的机理；对基于纵弯模式的压电振子的运动及动力传递机理进行了分析； 3、基于模态假定，利用分析动力学的Hamilton原理，建立了面向直线超声电机压电振子的机电耦合动力学模型，并据此建立了压电振子的等效电路模型，导出了电参量与动力学特性参量的耦合方程，为压电振子与驱动电路的匹配提供了依据； 4、从压电陶瓷的本构方程出发，综合力场的弹性动力学方程、几何方程、电场的麦克斯韦方程以及相应的边界条件方程，采用虚位移原理，建立了压电振子动态问题机电耦合场求解的有限元控制方程，为研究其大功率驱动下的非线性本构模型奠定了基础； 5、界定压电振子的动力学特性指标，对压电振子的机电耦合动力学模型参数进行计算及变参数仿真；依据等效电路模型，对压电振子的电学特性进行了仿真分析；通过有限元数值实验，对压电振子工作模态附近的模态振型及工作频率附近的频段进行了激振效果分析，找出了实现模态简并的激振频率；利用有限元控制方程，通过编程计算，对压电振子的力电耦合场参数进行了详细计算，得出了一些有价值的结论。

Topics covered by this course are:(1) Simple linear regression,(2) Inference based on fitted regression model,(3) prediction based on fitted regression model,(4) Application of simple linear regression,(5) Verification of regression assumption,(6) Multiple regression,(7) Qualitative independent variables,(8) Multicollinearity, and (9) Stepwise regression.

课程内容包含：（1）简单线性回归；（2）回归模式适合性的推论；（3）利用回归模式的预测；（4）线性回归的应用；（5）回归模式假设条件的检定；（6）复回归模式；（7）质量性独立变数的处置；（8）共线性的探测；与（9）逐步回归分析法。

The correlation analysis and stepwise regression between physiological characteristics of three species and environmental factors showed that the regression equation of Platycladus orientalis between photosynthetic rate, transpiration rate and the environment factor was P(subscript n=0.006PAR+1.176RH, E=1.120T; the regression equation of Pinus tabulae formis was P(subscript n=0.010PAR, E=1.004T+0.482RH; the regression equation of Tamarix chinensis was P(subscript n=0.015PAR, E=0.757T+0.566RH-8.397G.

对3种树的光合速率和蒸腾速率与影响因子进行相关分析及逐步回归分析表明，各树种光合速率和蒸腾速率的回归方程分别为，侧柏：P=0.006PAR+1.176RH，E=1.120T；油松：P=0.010PAR，E=1.004T+0.482RH；柽柳：P=0.015PAR，E=0.757T+0.566RH-8.397G。

Several important nonlinear equations of mathematical physics such as φ4 equation, Klein-Gordon equation, the approximate equations of sine-Gordon equation and sinhGordon equation, Landau-Ginzburg-Higgs equation, Duffing equation, nonlinear telegraph equation are the special cases of the nonlinear wave equation presented in this paper.

几个有重要应用的非线性数学物理方程，如矿方程，Klein-Gordon方程，Sine-Gordon方程，及Sinh-Gordon方程的近似，Landau-Ginzburg-Higgs方程，Duffing方程，非线性电报方程等都可作为该方程的特殊情形得到相应的显式精确解，这里方法也可推广到n+1维空间情形。

The main content of the study includes: the policy variables are classified into two types, which are continuous policy variable and discrete policy variable, and the two variable is analyzed respectively; as to the continuous policy variable, use reasonable weighting to synthesize comprehensive policy indicator to reflect the comprehensiveness of each main policy indicator; undertake regression analysis for the comprehensive policy indicator, economic and stock market variable and get the effect of all kinds of comprehensive policy indictor variables on the economy and stock market; undertake regression analysis for data on the economic indicator and the data on the stock market and get the relationship between the economy and the stock market; use event research method to analyze its effect on the stock market and get some corresponding conclusions; structure the differential or difference equation groups on the interactive relationship among the variable economy, stock market and policy and do the difference operation and constitute simultaneous equation with the original main variables one after another; use quantitative regression method and solve the coefficient of the simultaneous equation to predict the operating tendency.

本研究主要内容包括：将政策变量划分为连续性政策变量和离散政策变量两个类型，并分别进行分析；对于连续性政策变量，采取合理的权重来合成政策综合指标，反映各主要政策指标的综合力度大小；将各政策综合指标与经济、股市变量进行回归分析，获得各类政策综合指标变量对经济、股市影响程度的大小；将经济指标数据与股市数据进行回归分析，获得经济与股市之间关系的大小；采取事件研究方法来分析其对股市的影响程度；构建关于经济、股市与政策各主要变量之间互动关系的微分或差分方程组，进行差分运算，并以此与原来各主要变量组成联立方程；运用计量回归方法，求出联立方程系数用于预测。

4Some job stressors can predict job burnout, stresses form ecomocial-socail treatment, workload and school management entered emotional exhaustion regression equation, stresses form student factors entered depersonalization regression equation, stresses from workload and examination entered reduced personal accomplishment regression equation. It is clearly that stresses from ecomocial-socail treatment and school management have positive influence to turnover intention; also emotional exhaustion and reduced personal accomplishment have positive influence to turnover intention.

部分压力源对职业倦怠的三个维度有预测作用，来自经济社会待遇、工作负荷、学校管理的压力进入情感衰竭的回归方程，学生因素进入去个性化的回归方程，学校管理的压力和考试压力进入个人成就感降低的回归方程；学校管理、经济社会待遇的压力对离职倾向有显著的预测作用；情感衰竭和成就感降低对离职倾向有显著的预测作用。

The contents from the third chapter to the fifth chapter are the kernels which are a series of applications of generalized regression model and generalized regression estimator. At first, this paper constructs ratio model, linear regression model, post-stratified regression model and nonparametric regression model through different regressive relationship between auxiliary variable and study variable.

首先是依据辅助变量与研究变量之间回归关系的不同，分别建立比率模型、线性回归模型、事后分层回归模型和非参数回归模型，然后再利用第二章中推导出的广义回归估计理论，对各种回归模型辅助下(来源：A4bBC12论文网www.abclunwen.com)的估计方法进行了系统性研究，从而构成了模型辅助估计方法的整个研究体系。

Multiple linear regression is the simplest way to build the relationship between the several explanatory variables and response variable. However, MLR often causes the estimated regression coefficients unstable or even unaccessible when the number of explanatory variables is more than that of objects. Especially, the explanatory variables are highly intercorrelated which called multi-collinear data. Therefore, many methods have been developed to analyze multi-collinear data, such as variable selection methods, ridge regression, principal components regression and partial least squares regression.

当要同时建立多个解释变数与反应变数间的关系时，最简单的方式是以复回归来处理，但是当解释变数数目远多於样本数，或者变数之间具有高度相关性时，会使得回归系数的估计变得不稳定甚至无法求得，这样的资料又称为共线性资料，在面临这样的资料时可以利用变数选取的方式降低资料组的维度，或者以脊回归、主成分回归及净最小平方回归等方法来灭种共线性的干扰。

Establish the steady-state and transient model using the three hydrodynamics equations (Continuity equation, Momentum equation and Energy equation). By comparing different state equation, it selects the BWRS state equation which is considered the most accurate state equation in current natural gas measurement. It calculates compression factor, density and other Thermal parameters based on BWRS state equation. In Numerical solution of the steady-state and transient model, compression factor, friction coefficient and all the other Thermal parameters are recalculated in each small time step to reduce the numerical calculation error.

在稳态模型的建立上，利用流体力学三大方程(连续性方程、运动方程和能量方程)，通过比较不同的状态方程选用了目前被认为最精确的用于天然气计量的BWRS状态方程，并以此方程为基础进行压缩因子、密度等热物性参数的计算；在稳态模型的求解上，选用容易计算，精度较高的标准型龙格—库塔(Runge-Kutta)法进行数值求解，并且在迭代过程的每一小步都重新计算燃气的压缩因子，摩阻系数等所有的计算参数，以减少数值计算的误差。

The teacher likes the honeymouthed little girl very much.

老师很喜欢这个嘴甜的小姑娘。

Mr. Notker Bien's interests are traveling, spending quality time with the family and long-distance-running.

诺特卡·柏恩先生热爱旅游，长跑，以及和家人一起共度美好时光。