迭级数

In this paper,fractal interpolation function is expressed as a wavelet series,and its mother function is defined by the translation of iterated function system.

把分形插值函数表示成小波类型级数的形式，其"母函数"是由迭代函数系的位移函数决定，并估计了它的余项和误差。

By this method, the vibration solution can be obtained in the form of power series and the iterative computation is not needed.

本文首次将幂级数求解变系数微分方程的方法引入齿轮振动方程的求解中，从而不需要将齿轮变啮合刚度分段常数化和反复迭代求解，就可以求出齿轮的振动微分方程的解。

As we know, many results on analytic solutions of iterative equations are obtained by constructing a majorant series. For technical reasons, in previous works an indeterminate constant α, as the eigenvalue of the linearization of unknown function at its fixed point, is required to be off the unit circle or lie on the circle with the Diophantine condition.

已有的许多关于迭代方程的解析解结果都是运用优级数法得到的，并要求一个作为未知函数在其不动点处的线性部分的特征值的常数α不在单位圆周上或者α在单位圆周上但满足Diophantine条件。

As we know, many results on analytic solutions of iterative equations are obtained by constructing a majorant series. For technical reasons, in previous works an indeterminate constant a, as the eigenvalue of the linearization of unknown function at its fixed point, is required to be off the unit circle or lie on the circle with the Diophantine condition.

已有的许多关于迭代方程的解析解结果都是运用优级数法得到的，并要求一个作为未知函数在其不动点处的线性部分的特征值的常数α不在单位圆周上或者α在单位圆周上但满足Diophantine条件。

The error growth of numerical method grows linearly with the stage of iterated matrix. A sufficient condition of bounded stability for linear θ-method is proved.

证明了数值方法的计算误差是随着迭代矩阵的级数线性增长的，又进一步给出了线性θ-方法有界稳定的一个充分条件。

By use of first-order linear expansion of Taylor series, the linearization process of both nonlinear constraints and objective function of long-term optimal scheduling model are performed and an optimal scheduling model based on seccessive linear programming is built; an approach to solve Optimal scheduling of cascade hydropower station problem by seccessive linear programming is put forward, the scale-down factor of iteration step length is used to ensure that the algorithm can converge to the optimal solution of optimization problem quickly and accurately.

通过采用泰勒级数一阶描述形式，对优化调度目标函数和约束条件中的非线性约束进行线性化处理，建立了基于连续线性规划算法的优化调度数学模型，提出了用连续线性规划技术求解梯级水电站优化调度问题的算法，并采用迭代步长的动态比例缩减因子保证算法能快速准确地收敛到优化问题的最优解。

The method parameterizes a linear time-varying system with disturbance by using Taylor series expansion.

针对存在不确定扰动的线性时变系统的轨迹跟踪控制问题，提出了基於泰勒级数的迭代学习算法。

An artificial earthquake record with the Kanai-Tajimi model and trigonometric series superprosition method is generated.

基于Kanai-Tajimi模型和三角级数迭加法人工模拟了地震波，在人工模拟地震作用下分析了地铁车站抗震性能。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。