应用数学

Quotient space theory has widespread application in the problem solving domain by its solid theoretical basis and rather perfect mathematical model.

商空间理论以其坚实的理论基础和较为完美的数学模型，在问题求解领域中有着广泛的应用。

Existing literature on the inquiry,collation and analysis,this article had the following major tasks:1st,finite element simulation of the current analytical methods are summarized,and system introduction finite element software ADINA and ANSYS applied in the reinforced concrete built-up section.2nd,system introduction reinforced concrete component material performance as well as reinforced concrete nonlinear analysis main mathematical model. 3rd,the use of ANSYS and ADINA software simply supported beam simulation were compared.4th,uses the ANSYS analysis software,conducted 7 radical center bearing reinforcing steel-side steel pipe concrete short stump simulation test research,the research had indicated the reinforcing steel the existence strengthened the pillar ductility greatly.5th,based on ANSYS,has conducted 2 radical center bearing reinforcing steel-side steel pipe concrete member in bending simulation test research.

通过对现有文献的查询、整理及分析，本文进行了以下主要工作：1、对目前有限元模拟分析方法进行了总结，并系统的介绍了有限元软件ADINA和ANSYS在钢筋混凝土组合结构中应用。2、系统的介绍了钢筋混凝土构件的材料性能以及钢筋混凝土非线性分析的主要数学模型。3、利用ANSYS和ADINA软件对简支梁进行了对比模拟分析。4、利用ANSYS分析软件，进行了7根轴心受压钢骨-方钢管混凝土短柱的模拟试验研究，研究表明钢骨的存在大大加强了柱子的延性。5、利用ANSYS分析软件，进行了2根轴心受压钢骨-方钢管混凝土受弯构件的模拟试验研究。

Using it we can approximately obtain the expectation of any function,using the certain quantity the random sample particle to express the posterior density of random variable in the model,and can be used in the any non-linear random models.

粒子滤波算法是一种适用于非线性非正态约束的基于模拟的统计滤波算法，可以近似得到任意函数的数学期望，利用一定数量的随机样本粒子来表示模型中随机变量的后验概率分布，并且能应用于任意非线性随机模型。

In study of the truss structural dynamic characteristics analysis, randomness of the structural physical parameters and geomtric ones are all considered. The finite element model of the stochastic truss is built and the random functions of its natural frequencies are obtained by use of the Rayleigh quotient. Employing probabilistic distribution function expression for the random functions, through a series of mathematical processing including determination of limits of integrals, variable substitution etc., the probaabilistic density function for the truss natural frequencies are gained to realige accurate calculation for the reliability of the truss natural frequencies.

考虑结构物理参数和几何参数的随机性，通过构建随机参数桁架结构的有限元模型，利用瑞利商公式获得了结构固有频率随机函数的计算表达式，应用随机函数的概率分布函数表达式，通过确定积分区间、变量替换、积分顺序变换等一系列数学上的处理，获得结构固有频率的概率密度函数，进而实现对结构固有频率可靠度的精确计算。

In the fourth chapter, we apply mathematical model and simulation technique to rearview mirror.

第四章是将数学建模和仿真技术应用于后视镜问题中。

This paper represents a numerical method to simulate the complex heat transfer in a radiant metal recuperator .

应用蒙特卡洛法仿真辐射式金属换热器内的辐射传热过程，建立了换热器综合传热的数学模型。

The complex movement regularity of particle group is analysed by using no-linear mathematical tools and the recurrence formula of movement is obtained in intensifying screen.

应用非线性数学工具对物料在强化筛中的复杂运动规律性进行了分析，推导出颗粒在强化筛中运动的递推公式。

Connect assorted computation problem, build problem generalization recurrence relation to undertake begging solving through tectonic series, this is the representative application of afore-mentioned mathematical thoughts.

联系到组合计数新问题，通过构造数列将新问题一般化并建立递推关系进行求解，这便是上述数学思想的典型应用。

In math and engineering, recursion, especially, is a big win.

在数学和工程学中，应用递归，特别的有效。

Methods Two mathematical models were created for preoperative planning of the ablation in spherical tumors. The models were based on the overlapping sphere principle and were deduced and calculated by the regular prism way and regular polyhedron way.

将肿瘤模式化为类球体，根据球体覆盖原理建立数学模型，应用正棱柱法及正多面体法进行推导计算，获得治疗范围与射频针伞径、布针次数的关系式。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。