可以解的

We know that the solutions of quadratic, cubic and quartic can be expressed by radicals. As to the solution of the quintic which has became an issue for past two or three hundred years, it was not solved until 1832 a great young Mathematician of French named Galois who recommended group theory that proved a polynomial of degree 5 and over 5 can't be solvable by radicals.

中文摘要我们知道二次、三次及四次的方程式都可以用根式表示，至於五次方程式的解迟迟无法解决，这个问题持续了两三百年，直到1832年，一位法国青年Galois在其决斗前夕，在他的遗书中，这位伟大的青年数学家引进了群的理论，证明了：五次及五次以上的方程式，不可能有公式解。

The advantages of this method are:① the range of the exponent i of the undefined functions f from-N to N;② the indeterminate specific form of function so that we can get more new exact solutions.

点在于：①待定函数f的指数i的范围从N扩大到－N；②可以不必给出函数f的具体表达式求解方程，这样便于寻找更多的解。本文就是利用了这一特点，选择合适的参数，得到一些mBBM方程新的精确解。

The * symbol is used as the dereference operator and as the multiplication operator. The uses of the symbol are independent; it can be helpful to think of them as two different symbols.

例如，符号*既可以作为解引用操作符，也可以作为乘法操作符，这两种用法相互独立、各不相关，如果将其视为两个不同的符号可能会更容易理解些。

To solve the problem encountered in finding a proper rotation matrix and translation vector, approximate and precise solutions are provided successively. The approximate one has the advantage of utilizing existing solution, with limited range of weight to choose from. The precise one has no limit to weight, and can also prevent the problem of obtaining a mirror matrix of the correct one. Besides, it permits the'hat'to be amplified to fit the size of'head'.

其中近似解可以直接套用现成的公式计算，但是权重的选择余地不大，而精确解则无此限制，而且从理论上解决了不同权重下求解旋转矩阵和平移向量时，可能出现错误的旋转矩阵的问题，并允许在配准时对"帽"进行缩放以适应"头"和"帽"的大小不匹配的问题。

The solvability of quadratic matrix inequalities of singular H∞ control problems with infinite zeros is studied in this paper. It is proved that the quadratic matrix inequality can be solved directly via the generalized eigenvalue problems. The previous method of solving the quadratic matrix inequality involving complicated decompositions and transformations of the systems is avoided.

摘要研究具有无穷远零点的奇异H∞控制问题的二次矩阵不等式的可解性，证明了通过求解广义特征值问题，可以直接求得二次矩阵不等式的解，从而简化了原需通过复杂的系统分解和变换来求解二次矩阵不等式的方法。

The chewing gum is dissolved using a water-immiscible solvent requiring either evaporation and redissolution of the sample or solvent change during the SPE step.

口香糖溶解于与水不相溶的溶剂中，在固相萃取中既可以蒸发和重解样品又可以更换溶剂。

In chapter 4,on the basis of chapter 3,a new formulation of hybrid/mixedsingular plate element based on Reissner's plate theory is set up,and 4-node arbitraryquadrilateral hybrid/mixed singular bending plate element formulas including theeffects of transverse shear deformation is derived,then by the use of this method,alarge quantity of numerical computations are carried out,at the same time,the resultsare compared with theoretical solutions and the results obtained by other singularfinite element methods.

第四章 在第三章的基础之上，建立基于Reissner型板理论之上的杂交/混合奇异板单元列式，推导出了考虑剪切效应的四节点任意四边形杂交/混合奇异弯曲板单元公式，并进行了大量的数值计算，同时与理论解析解和其它有限元解进行了比较，计算结果表明：本文提出的杂交/混合奇异板单元方法是可以用于计算含裂纹平板弯曲应力强度因子的一种高效、可靠、简便易行的方法。

Starting from symmetry properties of equation and considering the variable coefficient of the equation as a new dependent variable,a new general method to solve variable coefficient equation is proposed.

将非线性方程的变系数看作与实际物理场具有相等地位的新变量，利用普遍的经典李群方法可以求解某些特殊类型的变系数方程，其解由相应的常系数方程的解表示。

With the conditions of the variables, a standard linear programming model is established and therefore the special solution of the inhomogeneous system of linear equations can be available easily by the simplex method.

对于非齐次线性方程组的特解求解，本文巧妙的利用绳牵引并联机构的拉力应满足的条件建立了一个线性规划的标准模型，由单纯形法可以很容易的获得非齐次线性方程组的特解。

With this integrated framework, it makes the layers of application clear and decouples them.

应用这种整合框架，可以使系统层次清晰，实现了层之间的解耦，各层之间可以独立开发，提高了开发效率。

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