三次方程

The boundary contour formulations of evaluatingstresses from the Somigliana stress identity are derived for 2-D problemswith quadratic boundary elements.The boundary contour method basedon the traction boundary integral equation is further discussed.Elasticproblems are first solved using the traction boundary contour method.Amixed collocation of the displacement boundary contour formulation andtraction boundary contour formulation is given.(4)The dual boundarycontour method is developed for the analysis of crack problems.

3建出了Somigliana应力积分式的二维和三维问题的边界轮廓法理论；给立了二维问题由Somigliana应力积分式计算应力的二次形函数的边界轮廓法方程，进而给出了基于面力边界积分方程的边界轮廓法；提出了一种以位移边界轮廓法方程与面力边界轮廓法方程混合配置的方案，首次实现了用两种积分方程相结合来求解弹性力学问题。

In the third chapter, I first gain the equation of the large deflection considering the plate that has original deflection, that is the equation of the compatibility and the bend deflection of the plate which has the effect of initial curvature.

第三章中首先叙述了考虑初挠度的薄板的大挠度微分方程，即相容方程和板的挠度方程、得出膜应力方程，再通过瑞次法求解板的挠度方程，得出在有初挠度情况下。

In chapter 3, homogeneous balance method is used to deal with some problems of finding solutions of higher dimensional nonlinear evolution equation . By improving some key procedure of the method, the original equation is reduced to a linear equation , hence a great number of exact solutions for this are obtained.

第三章利用齐次平衡法研究了一些高维非线性演化方程和方程组的求解问题，通过对该方法的某些关键步骤的处理，将原方程转化为一线性的微分方程，从而获得了这些方程大量的多种精确解。

Finally, in the third section, by constructing some functional which similar to the conservation law of evolution equation and the technical estimates, we prove that in the inviscid limit the solution of generalized derivative Ginzburg—Landau equation converges to the solution of derivative nonlinear Schrodinger equation correspondently in one-dimension; The existence of global smooth solution for a class of generalized derivative Ginzburg—Landau equation are proved in two-dimension, in some special case, we prove that the solution of GGL equation converges to the weak solution of derivative nonlinear Schr〓dinger equation; In general case, by using some integral identities of solution for generalized Ginzburg—Landau equations with inhomogeneous boundary condition and the estimates for the L〓 norm on boundary of normal derivative and H〓 norm of solution, we prove the existence of global weak solution of the inhomogeneous boundary value problem for generalized Ginzburg—Landau equations.

第三部分：在一维情形，我们考虑了一类带导数项的Ginzburg—Landau方程，通过构造一些类似于发展方程守恒律的泛函及巧妙的积分估计，证明了当粘性系数趋于零时，Ginzburg—Landau方程的解逼近相应的带导数项的Schr〓dinger方程的解，并给出了最优收敛速度估计；在二维情形，我们证明了一类带导数项的广义Ginzburg—Landau方程整体光滑解的存在性，以及在某种特殊情形下，GL方程的解趋近于相应的带导数项的Schr〓dinger方程的弱解；在一般情形下，我们讨论了一类Ginzburg—Landau方程的非齐次边值问题，通过几个积分恒等式，同时估计解的H〓模及法向导数在边界上的模，证明了整体弱解的存在性。

Secondly, the effectiveness and limitation of the classical perturbation, such as the method of multiple scales and the Poincare-Lindstedt method, are discussed in detail through a Duffing oscillator with delayed velocity feedback. It is shown that the two perturbation methods are effective only in solving the approximate solution of the first two orders. An ambiguity or paradox will be encountered when they are used to seeking for the third or higher order approximation of solution.

其次，以一具有时滞速度反馈的Duffing系统为例，研究了经典摄动法如多尺度法，Poincaré-Lindstedt法等在求解时滞微分方程级数解时的适用性和局限性问题，指出利用这些方法只能有效求得系统的前两阶近似解，而在求系统的三次以上近似解时会出现矛盾或二义性。

Based on the samples of over 1000 listed companies at the beginning of Reform of Non-tradable Shares in 2004 and 2006, the share proportion CR1 of the largest shareholder, Z index calculated as the ratio of share ratio of top 2 shareholders and H10 index calculated as the sum of square of share ratio of top 10 shareholders, and Tobin'Q reflecting the value of target company are sele

本文以股权分置改革开始的前后两年即2004年和2006年的一千多家中国上市公司为研究样本，选取第一大股东持股比例CR1、前两大股东持股比例的比值Z指数以及前十大股东持股比例的平方和H10指数作为衡量大股东控制程度的指标，采取托宾Q值来作为衡量公司价值的指标，把公司规模、财务杠杆和第一大股东性质虚拟变量作为控制变量，建立回归方程，实证结果发现三次？

Firstly we test the stability and cointegration of data, then perform the test of Granger casuality, lastly according to the aboved results, acquire of the regression equation of industry structure 、 infrastructure and logistics cost.

顺序上首先对数据进行稳定性和协整性检验，然后进行格兰杰因果检验分析，最后针对协整性和格兰杰检验结果，对物流成本、三次产业结构和基础设施数据进行回归分析，得出产业结构、基础设施与物流成本的回归方程。

The results showed that it was unsatisfactory for the whole samples to estimate the LAI, with the correlation coefficient being only 0.523. After the total samples were divided into four vegetation types, i.e., meadow vegetation, marsh vegetation, shrub and islanded forest, the correlation coefficients and the estimation accuracy were improved evidently. Cubic equations were found to be the best in the different forms of the regression models for retrieving the LAI of wetland vegetation by using CBERS data, with the R^2 value being 0.723, 0.588, 0.837, and 0.720, respectively.

结果表明，整个研究区样本总体的LAI估算效果不太理想，其NDVI与LAI的相关性仅为0.523；将研究区分为草甸、沼泽、灌丛和岛状林4种湿地植被类型，NDVI与各植被型LAI的相关性和估算效果均有很大程度的提高，所建立的LAI遥感反演模型以三次曲线回归方程拟合精度最高，R^2分别达到0.723、0.588、0.837、0.720。

However, computing the bicubic Coons is much faster because a lot smaller system of equations must be solved.

可是，双三次昆氏曲面的计算要快得多，因为它只需计算更少的系统方程。

A three dimensional Navier Stokes equation is solved with a standard k ε turbulent model. Two experiments were carried out and the total pressure of jet flow was tested. Based on the tests, the differences between the calculated and test results were found to be 3% and 7% respectively. It proved that the results of calculation can well be used in engin...

研究采用数值计算和试验测量相结合的方法，控制方程为三维、雷诺平均 Navier- Stokes方程及 k-ε二方程的紊流模型，并且对该发动机进行了燃气流场的测试，对流场中的总压强进行了直接测量，进行了两次试验；在两次测点位置，试验结果与数值计算值相差分别为 3%和 7%；证明了对双喷管火箭燃气射流流场的数值计算具有了较好的精度，计算模拟结果可以用于工程设计中

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。