建立燃气轮机数学模型是船舶动力及其控制系统研制的重要手段，建模的关键在于提高精度和收敛速度。
The mathematic model of gas turbine engine is important for the development of ship power and its control system. The key of modeling is the precision and convergence.
围绕该方法的内容有蒙特卡罗仿真方法的数学基础、蒙特卡罗方法的一般工作流程、一次快照的四个关键步骤以及仿真的收敛标准。
The contents of which related to the mathematical foundations of the Monte Carlo simulation method, its general work flow, the four key steps of a snapshot and the convergence criteria of simulation.
文中利用计算机实验数学的方法，结合理论讨论了几种收敛标准的等价性，构造了不同方法的分形图；
The authors study the equivalence of several criteria for convergence and construct their fractal patterns by the method of computer experimental mathematics.
经典测度的弱收敛在经典概率论等随机数学理论中有着很重要的作用。
The weak convergences of classical measure play an important role in random mathematics theory such as the classical probability theory.
迄今为止，除了少数未从数学上严格证明其收敛性的精确解外，大多数均采用近似方法求解。
So far many approximate methods have been used to solve the large deflection problems except that only a few exact solutions have been investigated but no strict proof on convergence is presented yet.
基于数学分析中著名的不动点原理，对于低密度纠删码本文证明了其删除错误译码算法稳定收敛的一充分条件。
Based on the known principle of fixed points in mathematical analysis, a sufficient convergence condition of erasure decoding algorithm for erasure codes is shown.
文章针对这一问题，在数据为混合相依的条件下，给出一般函数条件数学期望的估计，并讨论了它的收敛速度。
In this paper, the author gives a solution for this problem and discusses the convergent rate of nonparametric kernel estimate under mixing dependent data.
应用单调有界定理证明一类数列的收敛过程中，一般高等数学和数学分析教材中，处理的思路方法不易想到或过程较为繁琐。
In many current textbook, the monotone bounded theorem is used to the proof the convergence of a kind of but this method is uneasy to series, understand.
将学习矩阵作用于误差数据建立PDAG算法的数学模型，从理论上证明了PDAG算法的稳定性和收敛性。
The establishment of mathematical model of PDAG algorithm, with the application of a learning matrix to the error data, proved the stability and convergence of PDAG algorithm in theory.
围绕这两个方面给出了一些改进的参数估计算法，并用鞅的各种收敛理论对之进行了严格的数学证明。
Some improved parameter estimation algorithms are presented , their convergent properties are proved by using the martingale convergence theorem .
理论分析说明这种模糊规则后件参数学习算法是收敛的、所建模糊模型能够以要求的精度逼近已知的实验数据。
The learning algorithm and the characteristics of the fuzzy rules model which can approximate the experiment data are shown to converge to any arbitrary accuracy by the theoretical analysis.
本文主要致力于支持向量机、近似支持向量机的学习算法研究，特征提取的数学模型与算法的改进及其应用，聚类分析算法的收敛性证明。
This paper's main works is that: learning algorithm studies of support vector machine, mathematical model and application about feature selection, convergence analysis of clustering algorithm.
在分析数学中一致收敛的重要性及几乎处处收敛不一定能够一致收敛。
To make sure under what circumstances everywhere converge can be converted into uniform convergence, a typical counter-case has to be analysed.
使得姿态跟踪误差系统不仅可在有限时间内从任意状态到达滑动面，而且也可在有限时间内沿滑动面收敛到零，并给出了严格的数学证明。
The tracking error system can not only be controlled to the sliding manifold from any initial state in finitetime but also converge to zero along the sliding manifold in finitetime.
本文把统计物理学中的渗流理论与金融数学中的股票市场结合起来研究股票价格的波动过程和收敛的极限状态。
In this paper, we are combining percolation theory of the statistical physics and stock market in mathematical finance to study convergence of the limited condition of the stock price.
成果表明，该数学模型在精确性、收敛速度、稳定性方面有其优越性，为设计部门作方案比较提供了科学依据。
Calculation results show that the model has the advantages in the aspects of accuracy, convergence and stability. A number of scientific data for selecting feasible scheme are provided.
根据周向收敛型动压式指尖密封的工作性能要求，提出密封性能优化数学模型。
According to the working performance requirements of a circumferential convergent hydrodynamic finger seal, a performance optimization model is constructed.
文章通过对无穷小量与无穷大量的阶的概念研究，用阶的估计讨论数学分析中数列、函数及级数收敛问题，也为收敛问题深入研究提供了一种方法。
This paper studies the concept of infinitesimal and infinity, and discusses the convergence of sequence, function and series with the estimation of the orders.
文章通过对无穷小量与无穷大量的阶的概念研究，用阶的估计讨论数学分析中数列、函数及级数收敛问题，也为收敛问题深入研究提供了一种方法。
This paper studies the concept of infinitesimal and infinity, and discusses the convergence of sequence, function and series with the estimation of the orders.
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