第二部分是在一致收敛条件下函数列、函数项级数以及含参量反常积分的性质。
The second part is in uniform convergence conditions function series, function and parameter improper integral. We properties.
利用横向谐振法结合奇异积分方程技术，导出了具有快速收敛特性的不连续性等效电路参量计算公式。
A formulation for the equivalent circuit parameters of the discontinuities with superior convergency is derived by the transverse resonance method with the singular integral equation technique.
本文讨论了含参量无穷积分亚一致收敛的条件。
The conditions of the sub-consistent convergence of the parameter-involved infinite integration are discussed in this paper.
偏微分方程数值方法，积分方程法，课程3：离散收敛理论(PDF)。
Numerical Methods for PEDs, Integral Equation Methods, Lecture 3: Discretization Convergence Theory (PDF).
通过引入参数周期自适应律，设计出的自适应控制策略，使跟踪误差平方在一个周期上的积分范数渐近收敛于零。
A periodic mixed adaptive law and an adaptive repetitive learning control one are constructed to ensure the asymptotic convergence of the tracking error in the sense of square error norm.
另一方面，文中还给出了广义模糊积分平均收敛蕴涵依测度收敛的几个简洁的充分性条件，以及使两者等价的条件。
On the other hand, we also give several terse sufficiency conditions where the fuzzy mean convergence of (G) fuzzy integrals implies the convergence in fuzzy measure and making them equivalent.
给出了离心泵叶片表面的边界层动量积分方程的解的构造及其计算方法，并以计算实例说明了该解的唯一性和算法的稳定性、收敛性。
Solutions of the boundary layer momentum integral equations of vanes in centrifugal pumps are given and their calculation method and their illustration with example are given too.
在可测模糊随机函数及模糊值函数积分的基础上，研究了模糊值函数的有界控制收敛定理。
This paper gives the control convergent theorem of integral for fuzzy random functions on basis fuzzy functions and fuzzy integral.
本文提出了一类含积分的非线性方程的数值算法，并讨论了算法的收敛性。
In this paper, we introduce the numerical solution of nonlinear equation with a integration and discuss the convergence of algorithm.
该方法克服了高斯点附近积分值的不稳定问题，提高了计算精度和收敛速度。
The unstability integration number near the Gauss point is overcome, and the calculating precision and the convergence speed are improved.
在建立积分方程时，运用平面高斯定理改善了级数的收敛性。
In deriving the integral equation, the convergence of series is modified by application of the plane Gauss Theorem.
FFT借助于成熟的FFT方法实现快速计算，并利用不同阶次的龙贝格积分格式改善收敛精度。
Taking advantages of excellent FFT algorithms, the calculation is much more rapid than the classical recurrent methods, and the precision is improved with different order Romberg integral schemes.
分析了此守恒重映方法的收敛性与守恒性，研究了积分控制体对速度计算的影响。
Further, the convergence and conservation of this remapping method are analyzed, and the influence of the integral control system to calculate velocity is studied.
特别是当小波函数未知时，借助于方程(3.1)，对高阶奇异积分作数值计算，建立了收敛性定理。
Especially, we give a calculation method for higher order singular integral by equation (3.1) when the wavelet function is unknown. At last, we create a convergence theorem.
通过引入新空间及其范数，逐步定义了有界双参过程的积分和双参过程的积分，探讨了收敛性。
From a new space H introduced and its norm, integrations of bounded two parameter process and two parameter process are gradually defined, and convergence is investigated as well.
这些特性能更好地描述模糊值可测函数列和K -拟可加模糊数值积分序列的收敛性。
These characteristics can be used well to describe the convergence properties of sequences of fuzzy valued measurable functions and K-quasi-additive fuzzy number valued integrals.
算例表明，高阶样条权函数在局部边界积分方程方法中有好的收敛性、稳定性和精度。
The numerical results show that higher spline weight functions in the local boundary integral equation method have excellent properties.
摘要无穷限反常积分收敛时，其被积函数在无穷远处的极限不一定为零。
The limit of the integrand f ( x ) of abnormal integral, which is convergent in the infinite range of integration, is not certainly equal zero at infinity.
把不完全乔里斯基预条件技术应用到其积分方程，极大地改善了其谱特性，加速了矩阵方程的迭代收敛。
The IC precondition technique is applied to the integral equation to improve the spectral properties and accelerate the iteration speed of matrix equation.
在积分过程中简单地减少时间步长的办法，不仅延长计算时间，而且会更阻止收敛。
Simply decreasing the time-steps in the integration scheme not only costs more computer time, but also may deprive the convergence at all.
通过引入积分型变结构切换函数及高增益误差观测器，基于李雅普·诺夫稳定性理论，证明了闭环系统是全局稳定的，输出跟踪误差都收敛到零。
By introducing integral variable structure and high gain observer, the closed-loop control systems is shown to be globally stable in terms of Lyapunov theory, with tracking error converging to zero.
数值微分和积分部分将有较深入讨论，并强调误差和收敛性分析。
Numerical differentiation and integration is covered in depth, with particular emphasis on the error and convergence analysis.
引入了诱导模糊测度的概念并定又了诱导模糊积分，讨论了该积分的特性，得到了几个重要的积分收敛定理。
The concept of induced fuzzy measure is introduced and the definition of induced fuzzy integral is given, its properties are discussed, several important convergent theorems are obtained.
因为不要求实时性，所以数值积分法在计算精度、收敛速度和适用性上有很大改进空间。
For no requirement of real-time, numerical integration method has a great room for improvement in accuracy of calculation, rate of convergence and applicability.
研究了函数序列关于弱收敛概率测度序列积分的极限定理，给出了概率测度弱收敛的若干新的等价条件，得到了期望泛函序列上图收敛的一个充分条件。
Some new equivalent conditions of weak convergence of probability measure are presented and a sufficient condition for the epi-convergence of expectant functional sequence is obtained.
配置法是以满足纯插值约束条件的方式，寻求算子方程近似解的方法，且具有无需计算数值积分、计算量小、收敛阶高等优点。
The collocation method is a numerical method which search for the approximate solution of the equation by way of meeting pure interpolation condition.
配置法是以满足纯插值约束条件的方式，寻求算子方程近似解的方法，且具有无需计算数值积分、计算量小、收敛阶高等优点。
The collocation method is a numerical method which search for the approximate solution of the equation by way of meeting pure interpolation condition.
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