数学处理

Based on the theory of fuzzy mathematics,the improved fuzzy optimum model was established,and an integrated selection method,which combined quantitative index with qualitative index of the enterprises of engineering project authorized management,was developed.

通过运用模糊数学的相关优选理论，建立了改进的模糊优选模型，给出了一种在代建制下对代建单位进行定性、定量综合评选的方法，在定性指标的量化处理上用模糊一致矩阵克服了传统方法的缺陷。

Mathematical model has been dealt with by punish function search method. Hooke-Jeeves modular vector search method and Powell conjugate direction search method have been adopted and modified.

利用"惩罚函数"法进行了数学模型的处理，采用并改进了Hooke-Jeeves的模矢搜索法及Powell的共轭方向法，还提出一种随机搜索法。

Starting from the conditions of law of conservation of energy and angular momentum,how to deal with simple disposal of several physical equations of the planetary motion by applying the elementary mathematical equations is proposed.

从角动量和能量守恒定律出发，建立行星椭圆运动的轨道方程，导出行星运动时的各个物理量表达式，从而给出了一种以初等数学为基础的处理行星运动的简洁方法。

PSO is a population-based optimization algorithm, which mimics the social behavior of animals in a flock. It makes use of individual and group memory to update each particle position allowing global and local search optimization. The objective function considered was the total weight of the structure subjected to stresses, displacements and forces constraints. The effects of the parameters were investigated as well and such combination of tuning parameters promote a better global search behavior avoiding premature convergence while rapidly converging to the optimal solution. Results showed the effectiveness of the proposed method by comparing with ANSYS Design Optimization Tool (zero-order method). The PSO with the tuning parameters makes it an ideal method for offshore wind turbines foundations optimization tasks.(2) A reliability analysis method for pile foundation bearing axial loads based PSOThe performance function of pile foundation's axially bearing capacity sometimes is nonlinear and complex, on the basis of geometric meaning of structural reliability index, an optimum model with PSO for structural reliability analysis under arbitrary random variables was established, The PSO algorithm is very efficient to solve global optimization problemsIts use in structural reliability field presents not only the advantage of its facility of implementation, but also the possibility to obtain the design point and the failure probability with a good accuracy. In addition, PSO is a zero order algorithm, for no derivative is necessary for its implementation.

本文的研究针对桩式海上风机基础结构的特点，在国内外有关研究成果的基础上对海上风机基础结构优化设计理论和可靠度方法一些相关问题进行了较为深入的研究，具体做了以下几个方面的工作：(1)基于粒子群优化的桩式海上风机基础确定性优化设计方法桩式海上风机基础的优化设计是一个复杂的、非线性约束的优化问题，针对传统的基于梯度信息的优化方法在处理非线性问题中易陷入局部最优解的问题，本文将一种耦合惩罚函数的PSO算法引入到海上风机基础结构概念设计中，PSO算法是从群体动物聚集觅食这一活动中受到启发而发展的，该算法利用个体和群体的信息共享不断改进自身的位置从而进行局部和全局最优搜索，本文中以桩和三脚架连接段直径及壁厚为设计变量，以基础总重量作为优化的目标函数，在给定的约束条件下建立了三脚架基础优化数学模型，另外本文还研究了PSO参数变化对结果的影响，协调的参数组合可以避免陷入早熟收敛而能够快速的获得全局的最优解，通过与ANSYS优化模块的计算结果比较验证了该方法的有效性，本方法为海上风机基础的确定性设计提供了一条有效的途径。

Data properties of the auditory system information processing and reconstructable properties of these data based on convex projections with function sets were discussed.

在特征提取方面，基于听觉系统生理描述的数学表征，给出了其信息处理的几个重要结论。

MethodsⅠMaximal electroshock seizure was adopted to analyse the relative of dose and effect, relative of time and effect, including maximal efficacy and potency of these five extractives in mice given by ig administration.ⅡMetrazol seizure test was used to compare seizure latency, anticonvulsant rate and mortality of mice with every extractives.ⅢPharmacodynamic parameters of five alcoholic extractives were assayed by means of Pharmacological Effective Method.ⅣUsing the model of seizure rats induced by penicillin localized injected in cortex,we studied the effect of extractives on seizure latency, frequency of epileptiform discharge, highest wave of hippocampus EEG(Recoded by RM6240C multichannel physiological signal collection and analysis recorde), the changes of convulsant behaviors and the latency of seizure.

方法①采用最大电休克惊厥模型，分析灌胃小鼠各药的量效和时效关系，比较其效价强度和效能；②采用戊四唑惊厥模型，比较ig小鼠各药的惊厥潜伏期、抗惊厥率和死亡率；③采用药效法，运用数学模式及参数来模拟各药在体内的药效动力学过程；④制备大鼠皮层定位注射青霉素点燃模型，采用RM6240C型多道生理信号采集处理系统记录脑电图，比较ig各药对痫性发作潜伏期及发作程度、痫性放电潜伏期、痫波发放频率及最高波幅的影响；⑤采用HPLC法测定海马区癫痫相关递质的含量，比较各药对Glu、Asp、Gly、GABA的影响。

To adopt some technology correlatively, for example, data processing, simulation technique, mathematical model and database etc.

有针对性地采用数据处理、仿真技术、数学模型、数据库等技术，通过建立过程机理模型，对材料科学中相关过程的数据分析、模型预测、优化设计等进行实现。

Aim of the article was to provide a new approach of the fingerprint diagram research for TCM by means of spectrometry, which was capable of indicating the character of TCM. For the purpose of getting indication of NIRDRS convolution fingerprint diagram, the visualization technology was adopted to display the information which have been processed by convolution transform, then color-coded image was displayed in computer and the similarity coefficient was worked out between the fingerprint diagrams by cosine formula. Part one Theory and system design The spectrometry (UV/Vis, NIR, IR) is disadvantageous in the fingerprint analysis of complex systems both its difficulty of specificity and the similarity of TCM.

本文的研究目标是采用光谱手段，建立能够标示中药特性的指纹图谱技术，为中药指纹图谱研究提供新的思路和方法：通过采集中药的光谱信号，结合有"数学显微镜"美誉的小波变换技术，对光谱信号进行数据挖掘，捕捉和研究物质对光吸收特性的变化，大幅度增加可供利用的信息；同时运用科学计算可视化手段及伪彩色图像处理技术，得到基于虚拟直观计算机图像信息的中药光谱指纹图谱，并将该指纹图谱应用于药物的鉴别分析。

The discrete cosine transform is an important mathematical tool in digital image processing and many other fields.

摘 要：离散余弦变换是数字图像处理等许多领域的重要数学工具。

Because of the cragginess of the 3-D surface, the distortion stripes appear when the common rectangular grating or sine grating is projected onto the object surface, which includes information about the 3-D surface profilometry. The images including distortion stripes are taken by CCD camera. The 2-D stripes information is got after processing these images. On the basis of mathematic reconstruction model and arithmetic, the 3-D surface profilometry data are gotten.

用普通白光将矩形光栅或者正弦光栅投影于被测物体表面上，由于物体外形凹凸等几何形状变化而在物体表面产生畸变条纹，这些畸变条纹就包含了物体表面形状的三维信息，由CCD摄像头摄取这些畸变条纹信息，对这些图像进行相应的处理，得到有关条纹中心线的二维信息，然后再根据相应的数学转换模型和重构算法对物体的轮廓进行重构，就可以得到被测物体表面的三维外形数据信息。

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。