迭代的

Finally by constructing an auxiliary problem, using addition theorem and applying an iterative process based on results obtained for the linear problem, the existence and uniqueness of the weak generalized solution of the nonlinear problem is proved.

解决了线性问题后，本文构造了辅助问题，利用迭加原理，并基于线性问题的主要结论运用迭代过程，最终证明非线性问题存在唯一广义弱解。

A new definition and a new iterative scheme are introduced and the result that the iterative sequence is strongly convergent to common zero point s of maximal monotone operators Ai(i=1,2,…,m) is obtained by using the techniques of Lyapunov functional and generalized projection operator,etc.

将引进一个新定义、给出一种新迭代算法，并利用Lyapunov泛函与广义投影算子等技巧，证明迭代序列强收敛于Ai的公共零点，i=1，2，…，m。

Based on performing QR decomposition of an affine scaling equality constraint matrix, the conducted subproblem in the algorithm is the general trust region subprob-lem defined by minimizing a quadratic function subject only to an ellipsoidal constraint.

基于矩阵QR分解的技巧，将仿射零空间的信赖域子问题变换成通常的信赖域子问题，然后结合线搜索技术，在每次迭代信赖域子问题都将产生新的回代内点。

The paper taked 20 nodes isoparametric element as an example and put forward a kind of numerical method combined with the Newton iterative algorithm and Gauss integral algorithm to calculate equivalent loads of prestress in body element.

本文以20节点等参单元为例，提出一种运用高斯积分和牛顿迭代法的数值算法计算实体单元的预应力等代荷载，该方法能够适应各种复杂的预应力钢束形状，并适合计算机编程。

Chapter 3 is arranged in the following sequence to acquire the refractive index of the Iceland crystal for different values of the wavelength and the temperature.

在可见光区将四组不同的波长和对应的折射率代入常数表达式中，然后通过重复的迭代得到最佳的常数值；使用线形插值的办法得到了不同波长的折射率温度系数，从而可得出不同温度的 S el line i e r方程常数值，这样可以很容易求出各个温度下各波长所对应的折射率值。

Secondly, it is not the same fractal diagram by the same codes of IFS to produce fractal diagram. The two graphs are extraordinary similar, but they are different in detail. The problem is researched and the algorithm which calculates the intersection points of two graphs created by the same coefficient of the IFS is proposed. The curve described changing of the intersection points number is drawn. The conclusion is that the curve fluctuates in the tiny range and is smooth when it is seen as a whole. In fact, the curve is a fractal curve.

其次，针对同一IFS迭代码两次迭代绘制得到的分形图并非完全相同这一问题展开研究，提出了IFS分形覆盖相交交点变化曲线的概念，给出了覆盖相交交点变化曲线的绘制算法，在此基础上进一步研究了分形覆盖相交交点变化曲线的变化率情况，得到了分形覆盖相交交点变化曲线宏观上比较光滑，但实际上小范围内异常波动的实验结果。

Based on filtering theory, a residual life predict model is set up according to condition information, and a general formula of parameter estimation is deduced using maximum likelihood estimation, thus, when the life distributing of an equipment is known, the model can be rapidly educed by taking the distribution into the formula is educed, and its residual life can be predicted without complex iterative process is predicted.

利用滤波理论，建立了基于状态信息的剩余寿命预测通用模型，并推导出采用极大似然估计法下参数估计的通式，使得在已知寿命服从其他任何分布形式时直接代入通式便可快速地得出其模型，从而预测其剩余寿命，省去了复杂繁琐的迭代过程。

Our model is obviously superior to Rinker'smodel. because Rinker's model potential is a combination of Thomas-Fermi-Dirac potential and Hartree-Fock-Slater potential for the isolated ion.

我们的模型明显优越于Rinker的模型在于： Rinker的模型采用的是Thomas-Fermi-Dirac势和自由原子的Hartree-Fock-Slater势的迭加形式，而我们的模型中除离子的结构因子外，电子散射势、化学势及电离度等量都是通过自洽迭代方法计算的。

The crossover operation in the traditional GA operating is that choose two chromosome cross only at random also you can cross a bit, match and cross partly, cross order and cross cycle etc.

传统GA算法中的交叉操作，是随机选取两个染色体进行单点交叉(也可以多点交叉、部分匹配交叉、顺序交叉和周期交叉等等)，但是不管是采用何种交叉操作，新的子代染色体某一基因位上的值都是由两个父代染色体中相应基因位值经过一定交叉运算(直接交换或经算术运算等)所得到的，采用这种交叉算子操作使群体经过多次迭代后群体中的个体开始出现极大的相似性，因此照此下去就会出现早期收敛现象，使得算法的收敛速度非常慢甚至只能求到问题的局部最优解。

The crossover operation in the traditional GA operating is that choose two chromosome cross only at random also you can cross a bit, match and cross partly, cross order and cross cycle etc.

传统GA算法中的交*操作，是随机选取两个染色体进行单点交*(也可以多点交*、部分匹配交*、顺序交*和周期交*等等)，但是不管是采用何种交*操作，新的子代染色体某一基因位上的值都是由两个父代染色体中相应基因位值经过一定交*运算(直接交换或经算术运算等)所得到的，采用这种交*算子操作使群体经过多次迭代后群体中的个体开始出现极大的相似性，因此照此下去就会出现早期收敛现象，使得算法的收敛速度非常慢甚至只能求到问题的局部最优解。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。