查询词典 mathematical models

Comprehensively making use of the basic theory, such as Space Analytic Geometry, Gear Meshing Engagement Theory, Method of Mathematical Calculation, Theory for Error Analyzing and Data Processing, the author has established the mathematical models of the new method, which has included the analytic mathematical model for precision orientation, the mathematical model for the ball's diameter and the measuring diameter, the mathematical model about the ball's centre, the calculation model for tooth alignment diviations and the model for tooth alignment error evaluation.

本文综合应用空间解析几何学、啮合原理、计算方法、误差理论与数据处理等有关基础理论，推导建立了新方法的数学模型，包括：确定定位关系的解析法数学模型，测球直径与测量半径的数学模型，测球球心的数学模型，齿向偏差的计算模型以及齿向误差的评定数学模型等。

In this paper, mathematical models of soil-water characteristic curve are divided into four types based on the patterns of mathematical models.

本文对土水特征曲线数学模型进行了研究，依据这些模型的数学表达式形式，将其划分为4种类型。

With the investigation of the domestic and foreign literature systematically, the bases on the domestic and foreign present research and the comprehensive utilizations of the various knowledge of fluid mechanics in porous medium, reservoir engineering, mathematical physics, perforation completion, numerical simulation and so on, this article takes numerical simulation of gas reservoir of water solubility as the research aim which has completed following research works and obtained the corresponding research results: it analyzes the nature of the Water-soluble gas and formation water as well as the influent factors of the solubility through the study of massive materials; It establishes mathematical models three-dimension, the dual medium, the gas-water phase through the way of finite difference in the migration of water-soluble gas, which describes the entire process of release, migration and production in formation, where it considered the problems of variable bubble point; According to the numerical models of gas reservoir of water solubility it provides solution procedure that based on black oil model; It discovers that there will obtain the good effects in the lowly speed of development through simulation; the reinjection of formation water may largely enhance the produce degree of water-soluble gas when we consider reinjection in simulator; It considered the influence of perforated completion on development so as to increase the simulator"s versatility, It discovers that the simulator may reflect the conditions of development when we exanimate he simulator"s reliability with the empirical datum.

本文以水溶性气藏数值模拟研究为研究目标，在系统调研国内外文献、深入分析国内外研究现状的基础上，综合利用渗流力学、油气藏工程、数学物理方法、射孔完井以及数值模拟理论等多方面的知识，完成了以下研究工作并取得相应的研究成果；①通过对大量的资料调研，分析了水溶气、地层水性质、储层地质性质以及影响气体在水中溶解度的因素。②考虑到由于高压产生的大量水力裂缝，采用有限差分方法建立水溶气运移的三维、双重介质、气-水两相全隐式数学模型，该模型描述了水溶气在地层中的释放、运移和采出的整个过程。③在原有黑油模型的基础上，根据水溶性气藏数值模型编制了该数值模型的求解程序，该程序可以求解单重、双重介质两种情况。④通过模拟不同开采速度对水溶气开发效果的影响，发现开采速度较慢的时候可以取得较好的开采效果。⑤在模拟器中考虑了注水对水溶性气藏开发的影响，地层水回注可以大幅度提高水溶气的采出程度。⑥为增加模拟器的通用性，在模拟器中考虑了射孔完井方式对开采的影响。⑦检验模拟器计算的可靠性，发现在使用实验数据对水溶性气藏进行模拟时，模拟器可以很好的反映气藏开发的状态。

The discrete mathematical models of the roundness and cylindricity EST are established; the mathematical models of the generating line straightness, axis straightness, coaxality, circular run—out and total run—out error of the revolution workpiece are put forward and established first based on the EST; the method about how to sample and to process sampling data are given when these models are applied to measure workpleces.

其主要内容是：针对长期以来国内对回转误差运动的有关定义的争论，对回转误差运动的本质进行了讨论，进一步明确了静心与静轴，动心与动轴的概念，并对此进行了数学推导，给出了相应的数学模型；统一了"平动说"和"瞬心说"关于回转轴线的定义，指出了两种学说各自的力学基础和它们的一致性。

ABSTRACT It is very difficult to get exact mathematical models of industrial processes, models used in design procedure of control systems are commonly mathematical models through approximation.

在实际工程应用中通常很难得到被控对象的精确数学模型，在控制系统设计过程中所采用的模型常常是在一定程度上的经过近似化处理的数学模型。

As the main part of this paper, several mathematical models for the dynamic mechanism of NESA are set up. On the base of the several mathematical models, the important relationship between the key factors and processes of NESAs construction, execution andstabilization is concluded.

主要地，通过对非股权联盟动态机制的各主要方面建立数理模型进行科学地推导、论证，并最终得到各关键要素与非股权联盟建立、实施和稳定过程的重要相关关系及在实践中具有可操作性实际意义的解决对策。

The discrete mathematical models of the roundness and cylindricity EST are established; the mathematical models of the generating line straightness, axis straightness, coaxality, circular run—out and total run—out error of the revolution workpiece are put forward and established first based on the EST; the method about how to sample and to process sampling data are given when these models are applied to measure workpleces.

其主要内容是：针对长期以来国内对回转误差运动的有关定义的争论，对回转误差运动的本质进行了讨论，进一步明确了静心与静轴，动心与动轴的概念，并对此进行了数学推导，给出了相应的数学模型；统一了&平动说&和&瞬心说&关于回转轴线的定义，指出了两种学说各自的力学基础和它们的一致性。

Then the author reviews the content of risk analysis of regional natural disasters and the mathematical models of risk assessment. The risk analysis is classified into three steps, risk recognition , risk estimation, and risk assessment and the mathematical models into three types, extreme risk model, probability risk model and possibility risk model. Nextly, the possibility risk model for analyzing regional disaster risk are reviewed thoroughly.

综述了区域灾害风险分析的内容及区域灾害风险估算的数学模型，指出风险分析可归结为风险辨识、风险估算、风险评价三个环节，风险估算数学模型的演进可概括为极值风险模型、概率风险模型、可能性风险模型三个阶段，着重介绍区域自然灾害风险分析的可能性风险模型。

Aiming at a class of complex electromechanical systems, such as 4-high or multi-high cold mills and continual mills, we firstly construct mathematical models of every subsystems by means of structural principle modeling method; nextly, get the overall mathematical model of electromechanical drive system by joining together these subsystems'models according to coupling variables and parameters; we finally simplify the overall model according to time-scale principle which can retain main eigenvalues and significant state variables, and obtain a practical mathematical model of complex electromechanical system. By simulating the CM04 temper mill's model constructed by above-mentioned method, we test and verify that the modeling method is effective and practical. The study analyzes and researches the electromechanical coupling facts and acting laws existing in complex electromechanical system.

提出了系统的总体测试方案，设计了高保真度的信号隔离和缓冲器，解决了从大功率、大电流复杂机电系统主回路中提取真实谐波分量、而又能不影响系统正常运行的难题；发现了谐波电流对平整机工作状态的影响规律；确认谐波电流是可能引起平整机工况奇异、产生机电耦合振动、导致带材产品表面出现明暗振纹的一个因素；提出了一种多相整流电路谐波电流的分析计算方法，用该方法对平整机三相桥式整流供电电路的谐波分量进行了理论分析和计算，计算结果与实测结果能得到相互验证，说明该方法是可行的，实测结果是可靠的。

On the base of building mathematical models of tractive performance and economic performance, synthetical optimization model of transmission parameters is presented;And building mathematical models of flexibility coefficient of correlative parame...

其次，基于动力传动系参数优化及分析模型的建立，结合MATLAB与Visual C++编程语言的各自优点，开发了一套基于PC机的动力传动系参数分析及优化设计软件。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。