任意的

Basing on the Graf′s addition theorem, two expessions, interior and exterior expression, are deduced and the suitable problems for them are discussed. It has been found that the interior expression is the main point for sovling the scattering problem of circular inclusion in half-space. It also has been found that the exterior expression is the key for the scattering problem of circular arc canyon and circular arc alluvial valley, and is one of the main points for scattering problem of circular arc hill as well.

从Graf原有加法公式出发，本文给出了其内域型和外域型两种表达形式并讨论了这两种表达的适用范围，同时指出：内域型表达是求解半空间内含夹塞区出平面散射问题的要点，而外域型表达是解决任意圆弧型凹陷地形和任意圆弧型沉积盆地出平面散射问题中求解难点的关键，同时也是克服任意圆弧型凸起地形出平面散射问题求解困难的要点之一。

Sort-and-Incremental Algorithm Step 4: At anytime, if the leftmost intersection is against the feasible region provided by p1 or p3, we are sure the leftmost one is to be removed. Naturally, p1 or p3 walks rightwards to its adjacent edge.

January 31， 2010 Zeyuan Zhu 任意时刻，如果最左边任意时刻，任意时刻的交点不满足p1/p3所的交点不满足所在半平面的限制，在半平面的限制，我们相信这个交点需要删除 p1或p3走向它右边的或走向它右边的相邻边 36 4。

With aid of techniques of analytical continuation and conformal mapping, exact solutions are obtained for three typical problems concerning Eshelby's inclusion. The three problems are1 interaction between an arbitrarily shaped Eshelby inclusion and a circular inhomogeneity in transversely isotropic piezoelectric medium; 2 interaction between an arbitraily shaped Eshelby inclusion and an interface in anisotropic piezoelectric medium, the interface in our investigation may be a perfect interface, or a frictionless slipping interface , or a compliant electrode layer is embedded along the full interface of the bimaterials; 3 interaction between an arbitraily shaped Eshelby inclusion and an elliptical hole in anisotropic piezoelectric medium.

通过采用解析延拓和共形映射技术，获得了压电复合材料中有关Eshelby夹杂三个典型问题的精确弹性解答，即横观各向同性压电介质中任意形状的Eshelby夹杂与圆柱异相夹杂间相互作用；一般各向异性压电介质中任意形状的Eshelby夹杂与双压电材料所形成界面的相互作用，我们所考虑的界面包括理想界面、滑动界面以及柔性金属电极层增强界面；一般各向异性压电介质中任意形状的Eshelby夹杂与椭圆孔洞的相互作用。

The theory of digital synthesizing technology and its application in arbitrary waveform generator are introduced. A arbitrary waveform generator and its software are designed and tested.

介绍了直接数字合成技术的原理及其在任意波形发生器上的应用，设计了任意波形发生器和多类信号的混合发生软件，并对任意波形发生器的性能进行了测试。

Lid done with stainless steel plate floor, built-silicate insulation, Furnace Door size 350 mm wide, 580 mm high, the overall lateral wall elevate electric holding furnace door, Furnace Door closure of the Furnace Door as a whole round , Furnace Door sealing performance enhancements, dial made of stainless steel by 1600 m / m turntable, used to load the workpiece, the entire wheel of the plane is not division, the operator can be stacked workpiece, as dial-rotation every 40 minutes a week , when the operator can not see dial in almost rotation, and Furnace Door open the larger operators can be arbitrary and out of the workpiece, and without time limits can dial in 20-60 minutes a week to arbitrary rotation speed, regardless of Furnace Door hoist, from the start of work on the dial continuous rotation, and there was no need for chain hoist Furnace Door, the need to stop rotating, just press the control cabinet, stop button, the gate Furnace Door, operators to seize its own, activated installed in the furnace door open and close button.

炉盖采用不锈钢板做底板，内置硅酸铝保温，炉门尺寸宽350mm，高580mm，侧墙体中整体向上提升式电动保温炉门，炉门关闭时整个炉门为一个圆形整体，炉门密封性能增强，转盘采用不绣钢制成1600m/m转盘，用以承载工件之用，整个转盘为平面不分工位，操作人员可以任意堆放工件，由于转盘每40分钟旋传一周，工作时操作人员几乎看不到转盘在转动，加上炉门开的较大，操作人员可以任意进出工件，而不受时间限转盘可以在20--60分钟旋转一周的时间任意调速，不论炉门启闭、转盘从启动工作就不间断的旋转，没有任何必要与炉门启闭进行联锁，需要停止旋转时，只需按下控制电柜上的停止按钮即可，炉门的启闭，由操作人员自行掌握，按动安装在炉门边的启闭钮即可。

The variational problems of the complete functional in calculus of variations are studied deperding on the arbitrary arguments,arbitrary multivariable functions and arbitrary-order partial derivatives of multivariable functions.

研究变分法中依赖于任意个自变量、任意个多元函数和任意阶多元函数偏导数的完全泛函的变分问题；提出并证明了完全泛函的变分问题的定理，采用偏微分算子，给出了完全欧拉方程组。

The developed program also has some post-processing functions including structure shape map, discrete structure mesh map, structure displacement map, cracking map, stress map of steel bar, principal stress map of any section, searching displacement of any load step, load-deflection curve map of any node and so on.

包括结构形式图、结构剖分网格图、结构变形图、裂缝开展图、钢筋应力图、任意横截面的主应力图、加载过程中的任意荷载下的位移查询、任意结点的荷载—挠度曲线图等。

In this research , a mathematic model is built for coverting internal coordinates into rectangular coordinates and calculating nucleus distances, bond angles and bihedral angles in a molecule.

本研究课题建立了将分子中原子的自然坐标变换成直角坐标，计算任意两个原子的间距，求解任意三个原子核连线的夹角和任意四个原子构成的二面角的数学模型。

According to the results of the tests, the unsteady aerodynamic was calculated at arbitrary angles of the tailplane and pitching frequency using the method of a data base model.

根据风洞实验结果，采用基于三角剖分数据库建模的方法，计算了任意平尾偏角和任意振动频率时的背景机动态气动特性，与实验结果比较表明，提出的有平尾偏角的建模方法能提供任意舵偏时的全机气动特性。

The program can be used to track the limit load and flex point of space structure, can take structural imperfection into consideration, gets the buckling model and vibration model of three-dimension steel structure, analyzes the elastic-plastic status or stress distributing of any intersection and any point and draws the nephogram of stress distributing, the hysteretic line subjected to cyclic load and local buckling deformation.

本软件能够跟踪分析任意空间结构中各种反弯点和极限荷载、并能够考虑结构的缺陷分布影响、求解三维空间钢结构屈曲模态和振动模态。进而分析钢构件任意截面、任意点的应力分布及塑性屈服状态，绘制截面的应力分布云图及循环荷载下的滞回曲线，绘制钢构件的局部屈曲变形图。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐