Finally the mathematical foundation of this method is proved.
最后证明该法的数学根据。
It is differentiated from most other methods in that it is based on a rigorous mathematical foundation.
PAR方法则是建立在严格的数学基础之上的一种统一的算法程序设计方法。
While QED rests on a weak mathematical foundation, it has been extremely successful in predicting the outcome of experiments.
量子电动力学(QED)已经在一个脆弱的数学基础上待了太久，它已经在预测实验结果上取得了巨大的成功。
Latest study outcomes on complex networks introduce a new mathematical foundation for the development of networked software system.
复杂网络理论的最新研究成果，为网络化复杂软件系统的开发提供了新的数学基础。
In this paper, the mathematical foundation study of rough sets and the study of two general rough sets models are mainly researched.
本文主要进行了粗糙集的数学基础研究，与程度粗糙集和变精度粗糙集两个广义粗糙集模型的探讨。
It is well-known that quantum mechanics is a set of rules to construct physical theories, and quantum logics is its mathematical foundation.
量子力学是一套构造物理学理论的规则，而量子逻辑是量子力学存在的数学基础。
In the simplification part, coherent generators and external loads will be combined and simplified. This method has strict mathematical foundation.
网络的化简部分则包含了对相关发电机母线的简化和外部系统负荷母线的合并消去。
The mathematical foundation of state space analysis method is linear algebra and matrix theory, whose essential issues are controllability and observability.
状态空间分析方法的数学基础是线性代数和矩阵论，能控性和能观性是状态分析方法的根本问题。
These methods, with rigorous mathematical foundation, have mostly been developed for optimizing compilers and, more recently, for hardware and software verification.
这些方法有精确的数学基础，曾经主要用于改良编译器优化，近来也用于硬件和软件验证。
Finally, the relevant theory was verified correct by several simulation experiments of cat map in image scrambling, which provided mathematical foundation for image scrambling.
通过图像置乱的仿真实验，验证了相关理论的正确性，从而为图像置乱提供了数学理论依据。
Due to directed hypergraph's mathematical foundation and rigorous formal analysis ability, it can describes clearly the relationship of many-to-many, one-to-many, and many-to-one.
由于有向超图具有坚实的数学基础和严格的形式化分析手段，能够清楚地描述多对多、一对多、多对一的关系。
This idea is rather simple, but it can provide a foundation for a strong scientific or mathematical application.
原理虽然很简单，但它却可以为强大的科学或数学应用程序提供一个基础。
Mathematical statistics is a science which has both a solid theoretical foundation and a wide applications.
数理统计学是一门既有坚实的理论基础，又有广泛应用价值的数学学科。
Mathematical model is very important to the study of Bio-heat transfer, and it is also the common foundation for both of the theoretical research and practical application.
数学模型在生物传热的研究中占有极其重要的地位，是进行理论探讨和现实应用的共同基础。
Map model is a foundation of map use, mathematical models of map and computer-assisted cartography.
地图模型是地图应用、地图数学模型和计算机地图制图的基础。
The mathematical solution for ill-posed problems is regularization. The computational foundation for deformable models is just regularization.
数学上解决病态问题的方法是正则化，可形变模型的计算基础即是正则化。
In this paper, a mathematical model for integral optimization design of pier shaft and its foundation is given, and the SLP method and duality theory are applied here to have a optimal solution.
本文给出了重力式桥墩与明挖基础整体优化设计的数学模型，选择序列线性规划法，并利用线性规划的对偶理论求最优解。
This paper stresses on the analysis of the mathematical and physical significance of the average additional stress coefficient and its merit in foundation deformation calculation.
本文着重分析了平均附加应力系数的数学物理意义及用它计算地基变形的优点。
To establish suitable mathematical models of ship's water ballast system, bilge water system and anti-rolling tanks are the foundation for control and simulation for these systems.
建立船舶压载调平系统和污水处理系统的数学模型是进行船舶调平和污水处理控制和仿真的基础。
Then in the foundation of tolerance mathematical definition theory, each tolerance zone's mathematical model was established by inequality based on degrees of feature.
然后，在公差数学定义理论的基础，基于要素的自由度分析，采用不等式约束方程的形式建立各公差带的数学模型。
The productions of the research offer the foundation for establishing the heated density function and the temperature field mathematical model.
研究成果为受热密度函数与温度场数学模型的建立打下基础。
Because it relates to the morden mathematical knowledge, it is concerned by the engineering science and foundation science.
又因为对于它的研究要涉及到较多的近代数学知识，因而成为工程科学和基础科学共同关心的课题。
It is on this foundation that the mathematical model of the matter-element and fuzzy mathematical comprehensive assessment is established.
在以上基础上，建立物元和模糊综合评价的数学模型。
A student of mathematics must fix in mind the symbols and terms in mathematics in order that he may be able to have the foundation of the mathematical subject .
为了能打下数学基础，一个学数学的人必须牢记数学中所用的符号及术语。
This concise, comprehensive compendium of mathematical definitions, formulas, and theorems provides the foundation for exploring scientific and technological phenomena.
数学定义，原则和定理的这本简明，综合的概要为探索科技的现象奠定了基础。
In the teaching of Finite Element Method, mathematical theory is the foundation, engineering application is the ultimate object and theory must be connected with practice through teaching process.
在《有限元方法》的教学中，数学理论分析是基础，工程应用是最终目标，理论联系实践应贯穿教学的全过程。
Through to research the principle of the static synchronous compensator (STATCOM), has established its mathematical model, and has analyzed the STATCOM movement characteristic in this foundation.
通过对静止同步补偿器(STATCOM)原理的研究，建立了其数学模型，在此基础上分析了STATCOM的运行特性。
A synchronous motor step motion system of current lagging - loop tracking control is designed under the foundation of mathematical analysis for synchronous motor step motion system.
在对同步电动机步进传动系统进行教学分析的基础上，设计组成了电流俗环跟踪控制的同步电动机步进传动系统。
Model hypothesis and model foundation are the two most important steps in the process of mathematical modeling, and they comprise two important parts of principle analysis.
在数学建模过程中，模型假设与模型建立是最重要的两个步骤，两者构成机理分析的重要环节。
Model hypothesis and model foundation are the two most important steps in the process of mathematical modeling, and they comprise two important parts of principle analysis.
在数学建模过程中，模型假设与模型建立是最重要的两个步骤，两者构成机理分析的重要环节。
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