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OBJECTIVE: To establish a three-dimensional finite element model of a mandibular molar with dental implant inserted in mandibular molar area using reverse engineering, and to provide mathematical model basis for biomechanics researches of stomatology.

目的：利用逆向工程快速建立含下颌磨牙种植义齿的颌骨三维有限元模型，为口腔生物力学的研究提供数学模型基础。

The nitriding process of a large-scale crank shaft made from 35CrMo steel is simulated using non-linear FEM for the different supporting situations based on the above-stated visco-elastic mathematical model and measured data.

由于大型曲轴形状非常复杂，本文针对四种不同的支撑方式，用三维非线性有限元法结合上述粘弹性数学模型和实测数据模拟计算了35CrMo大型曲轴气体渗氮过程变形情况。

The mechanism concerning diameter reduction of wire rope is discussed, the mathematical models concerning abradant wear, oxidate wear, fatigue wear are set up separatly.

分析了钢丝绳直径缩细的机理，对磨料磨损，氧化腐蚀磨损、疲劳磨损建立了相应的数学模型。

In Introduction to Mathematical Philosophy, the later view as Russel refer to is about mathematical philosophy and foundations of mathematics.

罗素在《数学哲学导论》中所说的后1方向既数学哲学或数学基础。

The experiment results of φ460×600mm ball mill show that the mathematical models established with φ350×450mm ball mill have fair universality and adaptability. The established mathematical models can be applied to different size ball mills if the different coefficients are introduced.

460×600mm球磨机试验结果表明，在φ350×450mm球磨机上建立的数学模型具有一定的普遍性和适用性，只要引入不同的修正系数，即可将所建立的数学模型应用到不同规格的球磨机上。

Mathematical Education: To develop children's logical thinking ability and correct mathematical concepts,Understand of operations in specific volume and the numbers.

数学教育：培养孩子逻辑思考的能力和正确的数学概念，由具体教具的操作中理解量与数字和四则运用。

Firstly, on the basis of defining the characteristics of project and reviewing the mathematical models for RCPSP, we constructed the mathematical model for RCPSP under the condition that there is non-fixed duration and splittable tasks in project; In order to solve above model, we emphatically discussed the basic principle of the swarm intelligence algorithm--the particle swarm optimization algorithm as well as improvement research for current algorithm, and then proposed a new improved particle swarm optimization algorithm and analyzed its application process in the resource-constrained project scheduling problem; Lastly, in order to confirm the validity of the model and the algorithm, we took an experiment based on 108 instances that produced by problem instance generator which was developed by our team.

首先，在对RCPSP项目特征进行界定以及对项目进度优化模型回顾的基础之上，构建了基于活动工期不固定、任务可拆分特征的RCPSP的数学模型；为了求解上述模型，本文详细阐述粒子群优化算法(Particle Swarm Optimization，PSO)的基本原理以及当前对其改进的研究成果，提出了一种新的改进PSO算法，并对其在RCPSP的应用过程进行了设计；最后，为了检验模型的有效性及算法的优越性，基于梯队内部开发的案例生成器生成的108个算例，进行了仿真试验。

In this paper, the mechanisms of the generation, migration and production for coal seam gas are researched and the geological model for coal seam gas reservoir simulation is presented, according to the theories and methods of coal seam gas geology, petroleum geology and dynamic of fluids through porous media. A three-dimensional, dual-porosity, two-phase, pseudo-steady, non-equilibrium sorption mathematical model is established with the help of petroleum reservoir numerical simulation method. After that, this complex mathematical mode is approximated and solved by finite-difference and fully implicit methods. Coal Seam Gas Reservoir Simulation software in 1. 0 version (CSGRS 1. 0) with Chinese interface of pre-and post-processing function is developed.

本文应用煤层气地质学、石油天然气地质学和渗流力学等学科的理论和方法，研究了煤储层中煤层气的生成、储集、运移和产出机理，概化出了煤层气储层模拟的地质模型；以油气藏数值模拟和数值计算方法为工具，建立了描述三维、双孔隙、非平衡吸附、拟稳态条件下气-水两相流体混相运移规律的煤层气储层模拟的数学模型；详细推导出了该数学模型的全隐式求解方法；并借助计算机技术开发了具有中文操作界面的煤层气储层数值模拟软件CSGRS 1.0，实现了这一复杂数学模型的数值求解。

According to the mathematical model of the room in the way of the CAV, the mathematical model of the room in the way of CAV is deduced .

本文介绍了定风量空调系统的基本原理，着重对定风量空调系统房间数学模型进行了推导。

W.D. GANN MATHEMATICAL FORMULA FOR MARKET PREDICTIONS - THE MASTER MATHEMATICAL PRICE, TIME AND TREND CALCULATOR

时间，价格，成交量，速度，斜率和趋势

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。