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The path to educating thinking quality has: regarding the convergent thinking as the core to educating deepness; regarding the divergent thinking as the core to educating flexibility and originality; regarding the discrimination of thinking as the core to educating criticalness; regarding the skip thinking as the core to educating agility.

培养思维品质的途径有:以收敛思维为核心,培养思维的深刻性;以发散思维为核心,培养思维的灵活性和独创性;以思维辨析为核心,培养思维的批判性;以跳跃思维为核心,培养思维的敏捷性。

Under suit upper and lower solution, iteration sequences were constructed, and existence and unique of solutions of linear boundary value problems on second order nonlinear Hammerstein type integro-differential-difference equation were obtained by means of applying the Arzela-Ascoli theorem Lebesque control convergence theorem and disproof method.

在上下解存在的条件下,构造迭代序列,由Arzea-Ascoli定理和Lebesque控制收敛定理得到了二阶非线性Hammerstein型积分微分差分方程的线性边值问题的解的存在性。再利用反证法获得了解的唯一性。

The key technology of this method is to quickly converge the sensitive axes of the mechanical gyroscope to the intersection line of the meridional plane and the horizontal plane based on the principle of gyroscope compass, to isolate payload from platform disturbance with the gyroscope and two degrees of freedom gimbals, to obtain the attitude angle of the platform by electro-optical sensor on the gimbals, and to make the sight slaved to the sensitive axes of the gyroscope to realize the indirect stabilization.

利用陀螺罗经原理,使机械陀螺的敏感轴快速收敛于子午面和水平面的交线上,并借助陀螺定轴性和2自由度环架,使陀螺隔离运动载体的扰动;通过环架上的光电传感器测出运动载体的姿态角,使观瞄镜的瞄准线随动于陀螺的敏感轴,实现间接稳定。

The forth algorithm is the same as the third one with an addition of finite termination criteria. Although the latter two algorithms have only linear rate of convergence, they are especially suitable for large-scale and sparse problems, with features of simple formula, small storage, sparsity preservation and easy implementation.

前者借助NCP函数把互补问题转化为等价的非光滑方程组,再用带参数的光滑方程组近似这些非光滑方程组,最后用牛顿型方法求解所得到的光滑方程组,希望通过光滑参数趋于零得到原来互补问题的解;后者基于等价不动点格式,构造了一个光滑迭代算法和一个具有有限终止性质的算法,虽然这种迭代算法仅有线性收敛速度,但由于其格式简单、存储量小、保稀疏性、非常易于计算机实现等特点,故较适用于求解大规模稀疏问题。

The new algorithm effectively combines the advantages of ACO and PSO. It adopts the grid method for environment modeling and makes use of the efficiency and succinctness of PSO to obtain the initial distribution of pheromone, reducing the number of iterations and accelerating the convergence. At the same time, by using the parallelizability of ants and distributed parallelized-searching technology, the performance of the algorithm is effectively improved.

该方法有效地结合了粒子群算法和蚁群算法的优点,采用栅格法进行环境建模,利用粒子群算法的快速简洁等特点得到蚁群算法初始信息素分布,以减少迭代次数,加快算法的收敛速度;同时利用蚁群算法之间的可并行性,采用分布式技术实现蚂蚁之间的并行搜索,求解精度高等优点,求精确解。

Theoretical analysis and experiment results prove that our presented technique is one of the fastest techniques for the stable, real-time animation of a kind of non-rigid objects.

进行织物悬垂模拟的实验结果表明,新的算法在求解过程中是收敛和稳定的,算法在实时性上较已有的方法有一定的优越性,同时该算法得到了良好的视觉效果。

We also provide the ergodic convergence theorems for semitopological nonexpansive type mappings in the reflexive Banach in Chapter 3. By this theorem we can get the main results in [13]14[15][16], and we should notice that their methods do not extend beyond Lipschitzian mappings.

本文第三章在自反的Banach空间中给出了一般拓扑半群上渐近非扩张型半群的遍历收敛定理与其殆轨道情形的等价性,从而利用本章中的定理可以直接推得文[13][14][15][16]中的主要结果。

The recursive least-squares estimation method is used to estimate the parameters in the modelled part of the robot dynamics, and the parameters is used to form the feedback control based upon the so-called"inverse system method". The unmodelled part of the robot dynamics is compensated by a learning control law. This not only increases the learning convergence speed and the control system robustness, but also extends the control method to non-repetitive tasks after sufficient learning.

采用递推最小二乘辩识方法来辩识机器人动力学特性中可建模部分的模型参数,并以此来构成反馈控制策略,而对未建模动特性和未知扰动的影响采用学习控制的方法予以克服,从而提高了学习控制过程的收敛速度和鲁棒性,拓宽了它的适用范围。

To overcome the drawback that the traditional Linear Grouping Algorithm, when extracting linear structures, is sensitive to outliers in datasets, a new finite step according to existence of optimal linear grouping in data set and a new algorithm based on k-means clustering, total least absolute deviation and resampling were proposed, which detected several different linear relations at once to minimize the total orthogonal distances from n given points to its nearest hyperplanes.

为克服传统提取数据集中线性结构的LGA对噪声数据比较敏感的缺陷,提出了两种基于稳健的全最小一乘准则下的LGA新算法。首先证明了全最小一乘准则下数据集最优划分的存在性,并据此给出一种有限步终止算法。其次为提高计算速度,根据k-means算法、全最小一乘准则和重抽样方法给出另一种快速收敛算法。

A graphical method for the analysis and design of RC systems is proposed, by which the relationship between the tradeoffs of system performances and the selection of the controller parameters is clearly revealed. With the aid of the above method, the commonly used linear phase compensation in repetitive controllers is parametrically optimized.

首先,对连续重复控制系统的稳态和暂态性能、扰动抑制能力、鲁棒性等方面进行了详细的讨论;给出了重复控制系统的收敛速度分析;在此基础上,提出了一种分析和设计重复控制系统的图形化方法,清晰揭示出重复控制系统性能的折衷与重复控制器参数之间的关系。

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