数学

Matrices are indispensable mathematics tool in field of engineering technology and economy management.

矩阵理论不但是经典数学的基础 [1， 2， 3]，同时又是很有实用价值的数学理论。

M-point boundary value problem; momotone iterative; equation system; impulsive differential-integro equation; three-point boundary value problem; positive solution; Fixed point; Cone

基础科学，数学，数学分析m点边值问题；单调迭代；方程组；脉冲微积分方程；三点边值问题；正解；不动点；锥

Results and Conclusion When the workpiece is of little elastic deformation, the discretization approach as proposed in this paper is appli- cable not only to the mathematical modeling for thread-cutting process, but to the modeling for processing simple workpiece by using complex cutter, and processing complex workpiece by using simple cutter.

结果和结论作者提出的离散化思路在工件弹性变形不大时，不仅适用于螺纹切削过程的数学建模，亦适用于其它复杂形状刀具加工简单形状工件和用简单形状刀具加工复杂形状工件时的数学建模。

The research significance, The research direction and the style of mathematics branch of discipline thinking method are given.

摘要给出了数学分支学科思想方法的界定，探讨了开展数学分支学科思想方法研究的意义、研究方向和体例。

In order to understand the operation safety and pipe service life span of rear superhearter, the essay established dynamic mathematic model of single piece of screen of rear superhearter, including the following sub-models: flue gas side model, steam side and metal pipe wall mathematic model, flow calculation model and wall temperature calculation model.

为了更好地了解后屏过热器运行的安全性和管子使用寿命，本文建立了后屏过热器中单独一片屏的动态数学模型，其中包括以下几个子模型：烟气侧模型、蒸汽侧和金属管壁的数学模型、流量计算模型和壁温计算模型。

The outstanding mathematical modeling participant being possess the abilities to convert from stander-by to participant and from participant to stander-by again has been pointed out.

针对数学建模中模型建立与求解以及模型的评价与推广这两个环节，提出了&旁观者&与&当局者&这两个角色，并指出优秀数学建模参与者应该具备&从旁观者到当局者&以及&从当局者再回到旁观者&的双向角色转换能力。

Under this condition, a lot of new influence factors appear, the superficial model of coalbed methane is no longer suitable, so we set up the coalbed methane seepage model considered slip effect and porosity pressure, set up the coalbed methane seepage model considered coupling of slip effect and temperature field, set up the coalbed methane seepage model considered coupling of the slip effect and two phase of water - gas in this paper.

而进入深部开采后出现了许多新的影响因素使得原有的浅部煤层气渗流模型不再适用，因此本文建立了考虑滑脱效应及孔隙压力的煤层气渗流模型，建立了考虑滑脱效应及温度场耦合的煤层气渗流的数学模型，建立了考虑滑脱效应的水气耦合煤层气渗流数学模型。

After analyzing factors impacting the water hammer, the paper set up the water hammer mathematic model, apply character line method and ADINA software to solve model.

本文在分析影响水击因素的基础上，建立了水击效应的数学模型，并用特征线法以及ADINA有限元方法对水击数学模型进行了求解。

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。

It deals with feeling versus experience, subjectivity versus objectivity, disinterested pleasure, aesthetic universality, free and adherent beauty, the sensus communis, genius, aesthetic ideas, beauty as the symbol of morality, beauty of nature versus beauty of art, the sublime, and the supersensible.

译按，康德早年认为数学当中有美可言，但晚年断然推翻这个想法，认为数学无关乎美，也没有天才。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。