条件收敛的

A simple artificial immune network algorithm, suitable for clustering problems with a small quantity of samples, is obtained by using the idiotype immune network. Further, a fuzzy immune network classification algorithm applied to sample classification learning is proposed by uniting the algorithm and fuzzy logical rules.

其次，利用抗原群及抗体群的作用关系，结合免疫记忆细胞的记忆功能，并借助于克隆选择原理、免疫网络的调节机制及约束条件处理方法，设计约束多目标优化免疫算法处理约束多目标优化问题，收敛性论证、性能测试、比较及实际应用表明此算法是有效的。

Backsteppnig control is applied to the positioning of ironless linear motor stage in this thesis. The controller design starts from a lower dimension subsystem and design a Lyapunov candidate for it. By choosing some appropriate virtual control input, the stability of the subsystem is guaranteed. Then extend to a larger system and choose a stabilizing control input for the extended Lyapunov candidate. The procedure is repeated until the overall system's actual control input appears, Again, the overall system's stability is guaranteed when the control input is appropriately chosen.

本论主要探讨逆向步进控制器在线性马达轨迹之控制，控制器之设计方式是由后往前一步一步推导，每一步推导的子系统，均满足Lyapunov稳定法则，在由后往前一步一步推导过程中，每往前推导一步，均必须符合最先所假设的条件与设计，直到方程式与系统的控制输入出现关连性，利用所设计之控制输入将系统的非线性问题予以解决，并因满足Lyapunov稳定法则而收敛。

If the model's function constraints to some condition, the convergence and monotonic of model can be promised.

另外，模型中的模型函数在满足一定约束的条件下，可以保证协商决策的收敛性和单调性。

We prove under the local error bound condition that the Levenberg-Marquardt method with this parameter converges quadratically to a solution of the system of the equations by the technique of the singular value decomposition of the Jacobi matrix.

利用Jacobi矩阵的奇异值分解技巧，我们证明了此时在局部误差界条件下，Levenberg-Marquardt方法产生的迭代点列局部二阶收敛于方程组的某个解。

Mathematical investigation in the field began using a standard approach of computing: a class of problems is defined by means of postulating features of an objective function and convergence of a method is investigated.

数学研究领域中开始使用一种标准计算方法：一类问题的定义是指通过目标函数的基本条件和方法的收敛性的进行研究。

By using the cone theory and the coupling upper and lower solution method, it is studied the existence uniqueness of solutions of nonlinear binary operator equations without monotone and continuity and compactness conditionsin Banach spaces.

利用锥和耦合上下解方法，研究Banach空间不具有单调性、连续性和紧性条件的非线性二元算子方程解的存在唯一性，并给出了迭代序列收敛於解的误差估计，所得结果改进和推广了混合单调算子方程的某些已知相应结果。

By using the cone theory and the coupling upper and lower solution method,it is studied the existence uniqueness of solutions of nonlinear binary operator equations without monotone and continuity and compactness conditionsin Banach spaces.

利用锥和耦合上下解方法，研究Banach空间不具有单调性、连续性和紧性条件的非线性二元算子方程解的存在唯一性，并给出了迭代序列收敛于解的误差估计，所得结果改进和推广了混合单调算子方程的某些已知相应结果。

The experimental result shows that the proposed algorithm has fast and stable convergences, and those captured images by using this technique have good quality and adaptability at different environment illumination.

实验结果表明，该算法具有稳定快速的收敛性，捕获的视频图像在各种条件下均具有良好的图像质量和环境适应性。

Once displacement and stress interpolations satisfy approach condition, this method is able to assure the stability and convergence. So it is credible and can be implemented easily.

只要位移、应力插值满足最基本的逼近条件，该方法就能保证数值解的稳定性和收敛性，因此这是一种可靠并且易于实现的有限元格式。

In integration, explicit formulation has been used with the lumped mass matrix so that it facilitates the calculation of the displacement and ayoids the convergence problem caused by the nonlinearities in material, geom.

数学模型采用物质坐标系中的修正的拉格朗日描述，采取集中质量矩阵，用动力显式积分的方法，使位移计算显式化，避免了由材料、几何、边界条件等高度非线性因素引起的计算收敛问题。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。