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In this dissertation, a kind of electrochemical oscillation involving convection mass transfer has been studied thoroughly.

本文对涉及对流传质的这类电化学振荡现象进行了广泛而深入的研究。

In 3D scalar Helmholtz equation computation, for the first time, this dissertation proves that there is an analytical solution of infinite series convegence for the problems satisfying the MT expansion condition, derives the MT general solution formula and the using laws, proves or explains the using rules that are used in the GMT and but they can't be proven or explained by The GMT.

首次从理论上证明,在三维静电场分析中,存在一种无穷级数收敛,且有一定普遍性的解析解;推导出三维静电场分析的多极理论通解及其使用规则,证明或解释广义多极技术不能证明或解释的若干使用规则,用多极理论求解工程实际中的三维静电场边值问题。

In 2D eddy current field computation, for the first time, this dissertation proves that there is an analytical solution of infinite series convegence for the problems satisfying the MT expansion condition, derives the MT general solution formula and the using laws, proves or explains the using rules that are used in the GMT and but they can't be proven or explained by the GMT, and solves several real engineering examples of 2D eddy current field boundary-value problems by the MT.

本文从电磁理论和有关数学定理出发,通过引入内极、外极、内交角的概念,建立一种新的电磁场计算体系——电磁场分析中的多极理论;从理论上证明,在电磁场分析中存在一种无穷级数收敛,且有一定普遍性的解析解。

For a long time, it is a main factor to hamper the real-time application of SHET. The research is carried on aiming to quickening convergence speed. The automatic-changing Homotopy algorithm is proposed in the dissertation. The algorithm, which can change the solving method based on fundamental component, has the advantages of large convergence domain, high convergence rate and high precision. Many trigonometric functions are contained in the mathematical model, during solving equation, the calculated speed and the precision are affected by the calculations of trigonometric functions.

特定谐波消除技术的数学模型是一组非线性方程组,长期以来,方程的求解一直是限制该技术实时应用的关键因素,本文针对特定消谐方程组的快速求解进行细致的研究,提出自动变同伦算法,该算法可根据基波幅值的取值范围来决定采用的求解方法,其对求解方法的可选择性使该算法与其它算法相比具有计算速度快、收敛域宽、计算精度高等优点。

The Pade approximation is combined with 3-D frequency-domain finite difference (3D-FDFD) for the first time. The impact of expansion point and the order of rational function on the accuracy and the convergence radius is discussed in this dissertation.

主要包括以下内容:首次将Pade逼近运用到三维频域有限差分法中,详细讨论了Pade逼近中展开点选取、收敛半径与有理阶数的关系问题。

The dissertation expatiate on the distribute algorithm. The key operation in FIR digital filter is multiplication operation, and it can convert multiplication to look up table and addition by adopting the distribute algorithm. It is very suitable to adopt distribute algorithm in FPGA, because there are look-up tables in FPGA.

基于FPGA本身具有查找表的结构,非常适合使用分布式算法,在FIR滤波器的结构设计上,将FIR滤波器中关键的乘法运算转化为查找表的过程和加法运算的过程。

This dissertation studies systematically fuzzy convex analysis and fuzzy optimization and the relationships between them.

本文系统地研究了模糊凸分析与模糊优化及其它们之间的联系。

For solving problem (1), this dissertation first presents a sufficient and necessary condition by dealing with inequalities using projection operator in convex analysis, and then proposes a kind of new neural network model based on the constraint domain:〓(2) Where P is a projection operator on Q.

本文利用凸分析中的投影算子处理不等式约束,首先给出二次规划问题(1)解存在的充分和必要条件,据于此提出一种新的基于约束区域神经网络模型〓(2)来进行求解,其中P为Q上的投影算子。

In this dissertation, we study some fundamental issues on whether there exists arbitrage in the complicated finical market by employing no-arbitrage approach, optimization theory and convex analysis, and establish some ar-birage pricing model.

本文应用金融学的无套利分析方法并结合优化理论和凸分析等数学工具,研究复杂多变的金融市场中是否存在套利等基本问题,建立了一些新的套利定价模型。

This dissertation puts forward a structuring method of some complicated problems as well as methods of combination of the judgment matrix on group decision basis demonstrates that these two ways strengthen the consistency of the judgment matrix. Besides, it makes some researches into theory of combination of judgment matrix on the group decision basis, suggests two methods of calculating the coefficient of the convex combination and puts forward a method to construct individual and comprehensive judgment matrix based on rough-set by cooperating with others accordingly.

5给出了群决策条件下复杂问题结构化方法;提出了群决策条件下群体AHP判断矩阵集结的两种方法,证明了这两种集结方法保持或改善了判断矩阵的一致性;研究了群决策条件下判断矩阵优化集结原理,给出了判断矩阵两种凸组合系数优化计算方法;合作提出了一个基于Rough Set的个体判断矩阵和综合判断矩阵构造方法。

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According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm~150rpm时取得最大值,此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世,形体几无变化。

When I was in school, the rabbi explained everythingin the Bible two different ways.

当我上学的时候,老师解释《圣经》用两种不同的方法。