一阶

The semiboundless mixed problem of the fractional diffusion equation with the third kind nonhomogeneous boundary condition is studied.

研究了一维半无界分数阶扩散方程具有第三类非齐次边条件的混合问题。

The existence and uniqueness of solution for FROE is proven,and its analytical solution is given.

证明了分数阶Relaxation-Oscillation方程解的存在惟一性，并利用格林函数给出了它的解析解。

The showdown meeting with Hitler came at a full-dress conference attended by the top echelon of the high command: Field Marshals Wilhelm Keitel, Alfed Jodl, and Goering, along with Admiral Karl Donitz and many lesser lights, were there.

与希特勒的摊牌式会见是在一次正式会议上，出席会议的几乎是最高阶指挥官：陆军元帅凯特尔、约德尔、戈林，海军上将邓尼茨以及许多阶级较低的军官。

This paper mainly consists of three parts:(1) Based on the Reddy's higher-order shear deformation plate theory and general von Kármán-type equations, put forward the governing equations of pre- and post-buckled vibration of several hybrid FGM plate forms which have not been studied adequately, triumphantly applying the perturbation technique combined with Galerkin method into equations solving, and get the comparatively simple result forms with complicated deduction at last;(2) As a new type of materials, piezoelectric fiber reinforced composite actuators were applied to optimal vibration control, interrelated informatons be depicted in this paper;(3) During the investigative cource, some factors not been considered adequently in other researches were discussed fully in the postbuckled vibration analysis, such as the temperature-dependent material coefficients, heat conduction and nonlinear vibration characteristic etc.

本文的研究工作主要包括：(1)基于Reddy高阶剪切变形板理论和广义Kármán型方程，给出了几类现有研究成果较少或没有彻底解决的FGM混合板结构的屈曲前和屈曲后振动特性研究的控制方程，成功将摄动-Galerkin混合法应用于求解过程，并给出了各控制方程相对直观且易于计算的解析解形式；(2)单向压电纤维增强复合材料(Piezoelectric Fiber Reinforced Composite，简称PFRC)是一种新型压电材料，本文将其应用到了结构振动控制研究当中，发现通过压电纤维体积含量的选择可以实现混合板结构的优化振动控制；(3)围绕几种有代表性的FGM混合板结构，讨论其屈曲后的振动特性，在分析中同时考虑热传导，材料物性参数的温度相关性，以及机/热/电荷载耦合效应对非线性振动特性的影响，最后给出了大量数值计算结果。

The year 1236, outstanding military exploits of Marshal Security Bank of Mongolia sign the cavalry broke Zhu Dangchang Seoul, residual text states, in turn attack the West and set into a state dominated, took Longnan, ceremony set up shop in Lixian Marshal House, led by 5 Mongolia Mongolia 1000, a strong command of a "southern state of Shu Mian Shihmen, West garrison state of the two bands of water," guard in the Longnan area.

公元1236年，战功卓著的蒙古征行元帅安竺尔的铁骑破宕昌，残文州，转而攻西和，定成州，所向披靡，攻占陇南，在礼县设置礼店元帅府，率领5个蒙古千户统领的一支蒙古劲旅"南戍勉州之石门，西戍阶州之两水"，镇守在陇南地区。

A third order ENO finite volume method for hyperbolic conservation laws on unstructured triangular mesh is introduced.In order to obtain the third order accuracy on spatial discretization,a weighted quadratic interpolation is constructed on every triangular mesh.Two point Gauss quadrature formula is also used on each edge of every triangular mesh and the third order TVD Runge-Kutta method is used for time discretization.The numerical order of convergence and the numerical result of a mesh 3 wind tunnel with one step are given.

摘 要 基于双曲型守恒律方程，对非结构三角形网格给出了一种ENO(Essentially Nonoscillatory Scheme)型有限体积格式，方法的主要思想是先对每一个三角形单元构造一个加权的二次插值多项式，而在计算交界面的流通量时采用了两点高斯积分公式以保证格式的整体精度，时间离散采用三阶TVD Runge-Kutta方法。

The algorithm has a different geometric meaning with the de Casteljau algorithm.

此外，本文定义了一种类似于deCasteljau算法的圆弧样条曲线的高阶推广算法。

The spectral element method, which combines the high-order precision of spectral methods and the geometrical flexibility of finite element methods, has achieved great success and is becoming a useful tool for investigation of such equations.

谱元法作为一种高阶的数值方法，结合了谱方法的高精度和有限元法灵活的网格剖分技术，在不可压流体的计算中已取得了很大的成功，并正成为计算随机微分方程的一个有力工具。

During geological mapping of Xainza County in 2000, Tetragraptus approiimatus, the typical one of graptolite belts which cosmepolitically distributed in the Arenigian of Early Ordovician, was collected from the so-call Pre-Sinian Nianqingtanggula Group. So there is developped the Early Ordovician sediments and we have established Zakang Formation and Taduo Formation which perfected the Plaeozoic sequences in northern Tibet.

申扎地区1/25万区域地质调查工作中，在原归属为前震旦系念青唐古拉群的一套浅变质岩中发现了世界性分布的下奥陶统阿雷尼格阶最底部笔石化石带代表分子Tetragraptusapproximatus，首次确定了藏北地区有早奥陶世沉积地层的存在。

You need a grey scale test pattern.

你需要有一灰阶测试图案。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。