半椭圆的

According to the vector modal theory for any shape profile metallic grating,the diffraction fields are studied numerically.

本文根据任意槽形金属光栅的矢量模式理论，对正弦槽光栅和半椭圆槽光栅的情况进行了推导和数值计算。

Secondly, the analytic expressions of the error band boundary line for the s model of line segment are deduced, the parameter equations of the error band boundary are gotten.

考虑实用性和合理性，将线元看成离散点的集合，将线的不确定性看成点的不确定性的聚合体，将线元的位置不确定性模型看成以各点误差椭圆的长半轴E为半径的误差圆的聚合体，建立了以线元上任意点处的误差椭圆的长半轴E为带宽的线元不确定性ε模型。

Thirdly, on the base of the existent error estimate of elliptical Galerkin projection operator, obtain semi-discrete and complete-discrete error estimates betwent EFG solution and exact solution of parabolic partial differential equation. Semi-discrete error estimate show that the rank of r is accordance with the approximation rank of subspace S_h. Complete-discrete error estimates show that it not only have relation with radius r of domain of influence, but also have relation with the step length of time variable and the way of discrete.Lastly, give typical examples and draw up procedures of MATLAB.

再次，在"椭圆Galerkin投影"算子的误差估计的基础上，对用EFG法解抛物型偏微分方程的EFG解与精确解之间作了半离散和全离散的误差估计，半离散的误差估计表明所给出的误差界限关于r的阶是与子空间S_h的逼近阶相一致的，全离散的误差估计表明所产生的误差不但与影响域半径r有关，而且与离散时间变量的步长τ及其离散方式有关。

The main results are as follows: the relations between local fractional integrated semigroups and the corresponding Cauchy problem, global fractional integrated semigroups and regularized semigroups are given; introduction of the notion of regularized resolvent families, and the generation theorem and analyticity criterions for regularized resolvent families are obtained; the spectral inclusions between fractional resolvent family and its generator, and the approximation for fractional resolvent families in the cases of generators approximation and fractional orders approximation; elliptic operators with variable coefficients generating fractional resolvent family on L^2 by using numerical range techniques; and the L^p theory for elliptic operators with real coefficients highest order are obtained by Sobolev''s inequalities and the a priori estimates for elliptic operators; and a kind of coercive differential operators generates fractional regularized resolvent family by applying the Fourier multiplier method, functional calculus and some basic properties of Mittag-Leffler functions.

主要结论是：给出了局部分数次积分半群和相应的Cauchy问题的关系以及分数次积分半群和正则半群的关系；引入了正则预解族的概念，并给出了其生成定理和解析生成法则；给出了分数次预解族与其生成元的谱包含关系，并研究了在生成元逼近和分数阶逼近两种情况下相应的预解族的逼近问题；利用数值域方法证明了具变系数的椭圆算子在L^2上生成分数次预解族；利用Sobolev不等式和椭圆算子的先验估计证明了具变系数的椭圆算子在其最高项系数为实数时在L^p上生成分数次预解族；运用Fourier乘子理论、泛函演算和Mittag-Leffler函数证明了一类强制微分算子可以生成分数次正则预解族，并给出了该预解族的范数估计。

I originally planned to design a true hemispherical shaped canopy, but further investigation revealed that a semi-elliptical shape would provide essentially the same drag as that of a hemispherical shape.

我原本计划设计一个真正的半球状的檐篷，但进一步调查显示，一个半椭圆形状将提供基本相同的拖曳，因为这一个半球形的形状。

Round and elliptical Scan Conversion : Admission radius long or short Semiaxle Semiaxle to form a round or oval.

圆和椭圆的扫描转换：输入半径或者长半轴短半轴生成圆或者椭圆。

The effects of curvature radius R of the cylindrical shell with circumferential semielliptical surface cracks on stress intensity factors K_Ⅰ are investigated.

本文探讨了含周向内、外半椭圆表面裂纹圆柱壳体的曲率半径对其应力强度因子K_1的影响。

An engineering procedure for estimating crack growth behavior and fatigue lives of semielliptical surface cracks at weld toe s in complex stress fields was proposed based on a database of stress intensity factors and the elementary modes method developed by author.

以作者建立的焊趾半椭圆表面裂纹应力强度因子数据库以及复杂应力场中焊趾半椭圆表面裂纹前缘应力强度因子分布计算的基本模式法为基础，给出了复杂应力场中焊趾表面裂纹在疲劳扩展过程中形态变化规律及寿命的工程分析方法；并用这个方法计算了一些典型焊接接头在一些典型的外加应力场和残余应力场中的裂纹形态发展曲线。

The semi-ellipsoidal surface will be replaced by a hemispheroidal surface in the next device design. The required surface roughness of the metallic parts should be as low as ＝0.05μm.

下一阶段的人工椎间盘将以半球形面取代半椭圆球面设计，并且需提出加工制造与抛光处理流程，要求表面粗糙度达到＝0.05μm以下，使表面间有较平顺的接触行为。

The taper of the pipe screws has notable influence on the loading distribution along screws, so it is possible to improve load-bearing capacity of the screw coupling by selecting a suitable taper.

文中采用虚拟接触载荷法和位移法研究了螺纹管连接中螺纹齿根部带半椭圆表面裂纹时应力强度因子的计算，在此基础上，提出了螺纹连接简化计算模型。

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。