查询词典 mathematical notation

A 3D two-fluid model is also built in order to describe more accurately the fluid flow on distillation trays by comparing the computational results of quasi-single phase mathematical model with of two-fluid mathematical model.

本文采用有限体积法及计算流体力学软件&STAR-CD&对单块板以及首次对全回流下的全塔流体流动、传质过程进行了计算，计算结果如下：1。

The mathematical model of the system is divided into mathematical models of trawler, warp and fishing net, which are connected by boundary conditions reflecting the influence of each other. By using this modeling method, the dynamic simulation of the process of drawing in and giving out the fishing net is realized.

在建模过程中，将单船中层拖网系统的数学模型分为渔船、拖网曳纲以及网具系统的数学模型，并通过边界条件实现了数学模型之间的耦合，从而可以进行单船中层拖网作业过程中收放网过程的动态仿真。

This paper studies the mathematical simulation of the "properties-temperature" curve of ductile-brittle transition process for materials and finds the best mathematical model of ductile-brittle transition.

研究了Cr24Al2Si铁素体不锈钢韧脆转移过程的性能-温度曲线的数学模拟，找到了其最佳的韧脆转移数学模型。

The basic orientation of this auditing system and the database of fire protection law about high-rise building is established. And the problem how to audit the building fire design with the fire protection law is solved. Evacuation, fire water supply, smoke-preventing and fire power supply can be auditing in this system. On the base of this improvement, the mathematical result of the smoke-preventing air curtain is gained by using its mathematical mode.

本文对建筑防火设计审核系统的功能需求、系统设计、系统开发等基本问题进行了探讨，确立了系统的基本定位，建立了高层建筑的防火设计消防法规数据库，可对相应建筑的防火间距以及相应的消防法规进行查询，并解决了如何采用对照法规方法对建筑的防火设计进行审核的问题，可对建筑的消防布局、疏散距离、消防给水、防排烟系统和消防电气进行建筑防火设计审核。

Firstly, the relationship between the magnetic pole state of active magnetic pole and the running state of passive magnetic pole was analyzed. The electromagnet's four magnetic pole state and switch sequence, which can drive permanent magnet rotate, were ascertained. Secondly, taking one of magnetic pole state NS (N denotes electromagnet's left magnetic pole and S right magnetic pole) as an example, the distribution of space magnetic field was studied. In addition, the mathematical model of space magnetic field was set up based on the magnetic circuit fundamental and using the method of magnetic analysis and modeling. Lastly, the four states' mathematical model of space magnetic field was solved by using the MATLAB.

首先，分析系统主动磁极磁极状态和从动磁极转动状态之间的关系，确定驱动永磁体转动的电磁体4个磁极状态及切换顺序；其次，基于磁路基本原理，通过磁场分析和建模，以电磁体4个磁极状态之一的NS（N表示其左极、S为右极）为例，对电磁体的空间磁场分布进行研究并建立空间磁场数学模型；最后，以MATLAB为平台对4个磁极状态的空间磁场数学模型进行求解，将求解结果与实验数据进行对比。

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。

For the head-teacher of the class said that I had seriously broken the school rules,which led me to a three-day suspend class.

为什么呢？因为我的班主任说我严重的违反了校规，于是让我停课三天。

Many of them believe that the conversion of thousands of working-class folk in England spared that nation from the mass carnage and the tyranny that came with the revolution in France.

他们之中有许多人相信，在英国数以千计的劳工阶级之悔改信主使英国免於遭受如法国大革命所造成的大屠杀和专制暴政。