分半方法

Especially, by an example for analysis of the authoritical boston housing prices data, we emphasize on applying an new regression model and method -- semiparametric functional coefficient quantile regression and two-step estimation method to show the great explaination of the new

介绍了非参数回归和半参数回归的发展历程及其估计方法，还介绍了分位数回归的相关理论及其研究现况。在半参数、变系数回归和分位数回归的基础上，进一步讨论了非参数和半参数的变系数分位数回归模型和局部多项式线性估计法。

The numercial simulation has been carried out, and the experimental results show that this method has been improved significantly comparing with the traditional one in nonlinear optics. Secondly, a second order system of semilinear elliptic equations, which comes from a mathematics model of the electric potential distribution of a media surrounded with the protein, is transformed into a variational problem, the existence of solution of it is proved by using variational principle and Trudinger—Moser inequality, and the relation between the solutions of variational problem and the solutions of its dual problem is obtained.

首先，讨论了非线性光学中的二次谐波产生的耦合方程组，利用变分法证明了耦合方程组非平凡解的存在性，然后进行了数值模拟，实验结果表明文中方法比经典的非线性光学中的方法有较大的改进，这对优化光倍频器件的设计将有所帮助；其次，将一类二阶半线性椭圆型方程组转化为一个变分问题，然后利用变分法和

In this paper, based on an optimum difference operator for spatial differential given by Holberg, an optimum difference method of modeling crosswell elastic wavefield is put forward, which adopts the staggered-grid technique and calculates the wavefield at different grid points. When the half length of optimum difference operator is taken as four to six points, the required number of grid points per wavelength equals to three, crosshole elastic wavefield numerical modeling can attain satisfied accuracy.

本文以Holberg提出的一种空间微分的最佳差分算子为基础，采用交错网格技术，提出了一种模拟井间弹性波场的最佳差分法，该方法能在大空间网格点上得到精确的波场值，当最佳差分算子的半长度取4～6个点，每个波长只采3个样点时，井间弹性波场的模拟就可以得到满意的精度，其计算速度比常规有限差分法至少快一个数量级。

This thesis carries on research to a class of nonlinear Schrodinger Equation with wave operator of initial value periodic problem.

本文针对一维带波动算子的Schrodinger方程周期初值问题进行数值研究，对上述方程首先构造了守恒的半离散格式，然后将p次Hermite插值方法与有限差分方法相结合构造了差分正交样条配置格式，并证明这两个格式均为稳定和收敛的格式。

Firstly, the article expatiates the concept of fuzzy reliability and the relation between random and fuzzy. It presents a list of random-finite element formula that is suitable for the reliability analysis for mechanical rigid frame system. Secondly, it presents two arrangements' reliability analysis methods that fit for component and fabric system. Finally, according to the characteristic of engineering mechanical, the article first brings forward half random-half fuzzy"stress-intensity intermeddle model"for mechanical intensity analysis, and according to Gerber equation for weariness intensity calculation, the article presents fuzzy number's calculating principle and the fuzzy reliability analysis method for engineering structure weariness intensity.

首先阐述了模糊可靠性概念、随机性与模糊性的关系；在导出摄动随机有限元法随机变量的变分原理、随机有限元控制方程和递归方程组基础上，给出了适合于工程机械刚架系统可靠性分析的随机有限元列式；给出了构件和结构体系两个层次的可靠性分析方法；根据工程机械的特点，首次提出机械强度分析的半随机半模糊"应力-强度干涉模型"，并依据疲劳强度计算的Gerber方程，给出了模糊强度的模糊数运算法则及工程结构疲劳强度模糊可靠性分析计算方法，该方法具有简便实用的特点和普遍意义。

We estab-lish,under some mild assumptions,a locally quadratic convergence theoremfor Method I and prove a semi-local convergence theorem for Method II.Applications of the two methods to complementarity,variational inequalityand optimization problems are investigated as well.

在某些适当的假设下，我们证明了方法I的局部二次收敛性和方法II的半局部收敛性；还研究了两个方法在求解互补问题，变分不等式问题及约束优化问题中的应用。

By the verification of examples and the application an eleven-dimensional SSO system, as well as the testification of common QR method, it is shown that the method is effective for the identification of simple Hopf bifurcation of high dimensional system.

在第一部分中，本文根据Hopf分岔的代数判据，针对高维非线性动力系统，提出了半解析半数值的Hopf分岔识别方法。

By means of GPC,IR,GC-MS,~(13)CNMR,~1HNMR,Methylation analysisetc,structural properties of PST-1 were identified as follows:The Mwof PST-1 was 3.44×10~6 Da and its optical rotation was _D~(20)=+0.110°(c0.1, H_2O); PST-1 constituted 8 simple sugars and the molar ratio was 2,4-Dimethoxy-Mannose:Rhamnose:Ara-binose:Xylose:Galactose:D-Galacturonic acid:Mannose:D-glucuronic acid=2%:5%:24%:9%:3%:1%:46%:10%;The chief bone of PST-1 was 1,3,6-linked-β-D-Man residue and the side chains contained Furanoid and Pyranoid residues.

结合GPC、旋光度测定、IR、GC-MS、~(13)CNMR、~1HNMR、高碘酸氧化法、Smith降解以及甲基化方法等分析测试方法，得到PST-1的单糖组成及结构表征，实验结果如下：红豆杉多糖PST-1是重均分子量为3.44×10~6 Da的支链多糖，旋光度为20D=+0.110~0(c0.1，H_2O)；PST-1单糖组成为：2，4-Dimethoxy-Mannose：Rhamnose：Arabinose：Xylose：Galactose：D-Galacturonic acid：Mannose：D-glucuronic acid=2％：5％：24％：9％：3％：1％：46％：10％；PST-1的骨架结构为：具有1，3，6-连接的β-D-甘露糖残基骨架，侧链分枝包括非还原末端的呋喃型α-L-阿拉伯糖残基、吡喃型α-L-阿拉伯糖残基、β-D-木糖残基、β-D-甘露糖残基、2，4-二氧甲基-β-D-甘露糖残基和α-D-葡萄糖醛酸残基；侧链的糖残基也可能存在2，5-二氧-取代呋喃型α-L-阿拉伯糖基、3-氧-取代的β-D-木糖残基、6-氧-取代的α-D-半乳糖醛酸残基、6-氧-取代的α-D-半乳糖残基、4-氧-取代的α-D-葡萄糖醛酸残基和2-氧-取代的α-L-鼠李糖残基，同时后者也可能穿插在主链上。

The application of the extension engineering method in regionalization avoided the shortcomings of single indicator, such as the aridity or precipitation, and conduced to the consummation of the physicogeographical regionalization, the establishment of the eco-geographical regional system of China, and the further research on the transitional areas.

运用可拓工程方法，以综合考虑引起区域自然景观分异、变化的主导因子为出发点，解决了中温带半湿润、半干旱区界线划分问题，弥补了单指标（如仅考虑干燥度或降水量）在区域界线划分中的不足；有助于综合自然地理区划的进一步完善和中国生态地理区域系统的构建；也有益于对生态过渡带的深入研究。

In the numerical method has many extrapolation algorithms, the Romberg squaring algorithm is one kind of commonly used extrapolation algorithm, it is one kind of sector divides in half the accelerating convergence method gradually.

数值方法中有许多外推算法，龙贝格求积算法是一种常用的外推算法，它是一种区间逐次分半的加速收敛方法。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。