数学基础

Based on the microcomsic analysis,mathematical models for magnesium removal and phosphorus loss from phosphate rock were set up.

在此微观分析的基础上，建立了硫酸预处理磷矿的磷溶出及镁脱除的数学模型。

To research the water retention performance of lowland heightening farmland protection project in Tingzikou Water Control Pivot, large-scale soil column experiments and one-dimensional saturated-unsaturated flow simulations have been performed.

针对亭子口水利枢纽农田防护工程低地垫高方案的保水性能，在室内大型土柱试验的基础上，建立基于Richards方程的一维饱和-非饱和水流运动数学模型，模拟分析不同防护方案条件下土壤水分的运动过程和保水性能。

How to get the most precise three_dimensional cartesian coordinates of the station occupied by a totalstation through GPS unit integrated in it is emphasized,and then they are transferred to the local two_dimensional plane coordinates and the orthometric height by a series of mathematical models.

在讨论GPS与TPS两大测量技术特点的基础上，研究了两者的集成技术和数据转换问题，重点是如何利用GPS技术实时求得TPS的测站空间直角坐标，再通过合适的数学模型转换为地方坐标系的二维直角坐标和正常高。

Distortion discipline of line heating for automatic processing is researchedThe main influence factors of shell plate forming by line heating are analyzed. Based on the analysis of measured data processed by the experiment machine of line heating, thickness of plate, length of heating line, processing speed and shrinkage are regarded as 4 dimensions, and the methods of vectors mapping, plane projection and conversion of coordinates are used to build mathematical models for local surface shrinkage of different thickness and processing parameters.

1研究了自动化加工水火弯板变形规律分析了水火弯板加工成型的主要影响参数，在对水火弯板实验机加工测量数据分析的基础上，以板厚、加热线长度、加工速度和收缩量作为4个维度，应用向量映射，平面投影、坐标转换方法建立了不同钢板厚度的局部表面收缩量和加工参数的数学模型。

Six content areas are included in the Mathematics Test; pre-algebra, elementary algebra, intermediate algebra, coordinate geometry, plane geometry, and trigonometry.

数学测试包括6方面的内容：基础初等代数、初等代数、中级代数、几何坐标、平面几何和三角函数。

In mathematics, this conclusion can be considered as the conjunction point between Riccati equation and Lyapunov equation, and from the point of view of control system, it can be considered as the conjunction point between optimization of system control and stabilization of system.

在此基础上，又推广研究了不确定系统鲁棒最优输出反馈的设计问题，探讨了静态、动态输出反馈设计的解法思路和问题，并给出了相应的研究结论。本文的最优输出反馈结论，从数学上看，可以认为是找到了Riccati方程和Lyapunov方程解的一个契合点。

This paper introduces a modified fuzzy decision tree model. Firstly, the data are fuzzed by the use of optimal division point with optimal division entropy. Secondly, uncertainty theory of fuzzy math is introduced and a tree is built according to uncertainty of classification and creation rule. Finally, each unit can be detected about whether or not it is a fraud according to rule match method.

介绍了一种改进的模糊决策二叉树模型，即采用最优分割熵方法确定最优割点来对数据模糊化，引入模糊数学中的不确定性理论，依据分类的不确定性建造树，生成规则，在此基础上利用规则匹配的方法检测任意的样本数据是否为欺诈数据。

Based on grey system theory and fuzzy theory, uncertain decision making problems and several relative articles were studied, then points out the advantage and shortage of them when dealing with grey fuzzy set were pointed out.

以灰色系统理论和模糊数学为基础，探讨了不确定型决策问题的特性，分析了一些相关成果中所给方法在直接处理灰色模糊数方面的优势与不足。

Based on study of punching process requirements and processing sequence,the polychromatic sets theory was applied to construct the mathematical model of punching process planning.

在研究冲压工艺加工需求和加工工序的基础上，应用多色集合理论建立了冲压工艺规划的数学模型。

All the sub-plans are described by a group of general mathematic formulae. The computation of the sub- plan can be decomposed into two sub-problems by relaxing the constraint that production level at production period of a sub-plan must be more than zero. Based on the properties of an optimal solution, two polynomial algorithms are devised to solve sub-problems and reintegrate the relaxed constraint. Finally, a dynamic programming algorithm with complexity O(T^4) is developed to solve the global problem, where T is number of periods in planning horizon.

给出了所有子计划的通用数学描述，并通过松弛正生产量约束将子计划的计算分成两个子问题；依据子问题和子计划最优解的性质，设计了求解子问题和重新集结松弛约束的多项式算法；在此基础上提出了一个复杂性为O(T^4)的求解整个规划问题的多项式动态规划算法，这里T是规划时段上的周期数。

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。