查询词典 graphical solution

By using the Euclidean algorithm and invertible linear transformation over an integral ring, the solution of integral indeterminate equations of the first degree was investigated in theory, and its matrix solution based on the elementary matrix transformation was proposed.

用欧几里德算法和整数环上的可逆线性变换，从理论上对整数一次不定方程组的解进行了深入研究，提出了用矩阵的初等变换求解整数一次不定方程组的矩阵解法，并利用MATLAB数学软件开发了相应的计算机程序。

The Jacobi elliptic function-like solution and trigonometric function solution of variable coefficient KP equation.

获得了变系数KP方程新的类孤波解、类Jacobi椭圆函数解和三角函数解。

Using algebraic methods which include extended Tanh-method,some new solitary solutions to the DBM and Log-DBM equation,such as singular solitary solutions,double singular peakon solitary wave solutions,double solitary wave solution with peakon and singular periodic solitary wave solutions are obtained..With the aid of an auxilitary function combined with the elliptic integral of the first kind,periodic solitary solution,singular and periodic singular solitary solutions can be obtained.

第三章利用扩展的Jacobi椭圆函数展开法研究了方程，并给出ZK-MEW方程的Jacobi椭圆函数解，特别的，当模数m→0和m→1时，其中一部分解退化为三角函数解和孤立波解；其次使用sn-cn拟设法，研究了K(k，s，1)方程，得到了k=s=3时的新的精确解，并在模数m→0和m→1时得到了丰富的三角函数和孤立波解。

Primary results are shown as followings: 1. PH measuring results of soil solution and eluviation solution show that the ability of experimental plot the acid buffer capacity of soil is stronger under the experiment condition,there is no obvious acidification in soil which after acid rain eluviation. The result has substantial differences with that gotten by most of investigationers in similar work before.

这一结果与以往类似研究中多数研究者得到的结论存在本质区别，原因可能在于此次试验的试验条件与以往研究的试验条件不同，其中最主要一点是在本次试验中使用的土壤样品的重量比以往试验均显著增大，而且使用的是土壤结构和组成等均未经破坏的原位土，从而使入渗酸雨与承受酸雨沉降的土壤之间的比例关系更接近自然酸雨沉降过程，以此为基础得到的试验结果应该更加客观、可靠。

Although Zn does not seem to be obviously anomaly, it has the highest concentration in soil solution and eluviation solution, the most activation heavy metal element in acid rain effect. Other elements including Hg, As, Cd, Cu, Pb etc.

已有大量研究结果表明，冲积平原区土壤中的Hg异常主要与Org.C有关，本次试验中又在土壤天然重砂中发现了辰砂矿物，Hg的上述存在形式特征决定了它在酸雨淋滤过程中的活动特性。

During the course of acid rain eluviation, Zn shows the most activation. Although Zn does not seem to be obviously anomaly, it has the highest concentration in soil solution and eluviation solution, the most activation heavy metal element in acid rain effect. Other elements including Hg, As, Cd, Cu, Pb etc.

已有大量研究结果表明，冲积平原区土壤中的Hg异常主要与Org.C有关，本次试验中又在土壤天然重砂中发现了辰砂矿物，Hg的上述存在形式特征决定了它在酸雨淋滤过程中的活动特性。3、酸雨作用下离子的迁移过程客观存在，这一点从土壤电导率研究结果中得到了确认。

In order to complete the investigation, impersonality feasible experiment solutions and devices are designed independently to systemically investigate on activation and transfer characteristic of soil heavy metal under acid rain effect. Primary results are shown as followings:1. PH measuring results of soil solution and eluviation solution show that the ability of experimental plot the acid buffer capacity of soil is stronger under the experiment condition,there is no obvious acidification in soil which after acid rain eluviation.The result has substantial differences with that gotten by most of investigationers in similar work before.

这一结果与以往类似研究中多数研究者得到的结论存在本质区别，原因可能在于此次试验的试验条件与以往研究的试验条件不同，其中最主要一点是在本次试验中使用的土壤样品的重量比以往试验均显著增大，而且使用的是土壤结构和组成等均未经破坏的原位土，从而使入渗酸雨与承受酸雨沉降的土壤之间的比例关系更接近自然酸雨沉降过程，以此为基础得到的试验结果应该更加客观、可靠。2、酸雨对盐基离子活化迁移产生的影响勿庸置疑，但是，在盐基离子活化迁移的过程中，并没有出现预想中的重金属元素活化迁移现象，表明土壤中的重金属元素并不如理论分析的那样对酸雨沉降反应敏感。

Based on genetic algorithm,a new hybrid coding method using the integer and floating number was presented. The enumerable method guarantees each individual in the population to satisfy the constrains, thus the punishment function was avoided. The two adjustable parameters made the evolution process jump out of the local best solution perfectly.The application of the fitness assignment based on Pareto ranking attained inferior solution set of the multi-objective and multiple options were provided to the decision-maker.

设计了一种新的整数和浮点数结合的编码方式；通过列举法使得每代个体满足约束条件，避免了罚函数的使用；可调整的双参数变异算子使进化过程能够较好地跳出局部最优解；应用基于Pareto排序的适应值分配方式得到目标函数的非劣解集，为决策者提供了多种选择方式。

The algorithm consists of a least-squares part providing an analytica l initial solution,and a projection part that projects the initial least-square s solution successively onto each equality constraint.

该算法有两个显著特点：一是目标函数的Hessian矩阵不要求正定；二是由于采用平方根因子分解来计算增广Hessian矩阵及投影算子矩阵，算法具有很好的数字稳定性。

Using a kind of new solution to sovle the heat conduction equation of the anisotropic medium,general solution expressions of the temperature field and the thermal distortion field of Nd∶YVO4 crystal with rectangular section were obtained.

利用各向异性介质热传导方程的半解析求解方法，得出了矩形截面Nd∶YVO4晶体的温度场、端面热形变场的通解表达式。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。