数学处理

The Frechet derivative of the cost function is determined via the solution of an adjoint partial differential equation, and the boundary shape is then modified in a direction of descent. This process is repeated until an optimum solution is approached. The advantage is that the cost function variation is independent of the flow field variation, with the result that the gradient of cost function with respect to arbitrary number of design variables can be determined without the need for additional flow-field evaluations. So each design cycle requires the numerical solution of both the flow and the adjoint equations leading to a computational cost roughly equal to the cost of two flow solutions.

虽然他们的研究成果大多数都可以在公开性文献上看到，但是其中一些具体的细节问题的处理方法却没有透露，比如：伴随方程如何离散求解才能减小最终梯度计算中的误差，使得设计过程有效地进行；伴随方程与流动方程的边界条件是不同的，如何合理地处理伴随方程的边界条件，才能推动设计过程朝着设计目标而发展；在减阻问题中目标函数如何定义，求解梯度的具体数学公式如何推导，如何通过数值方法来实现它们等。

Calculus of variations is a field of mathematics that deals with functionals , as opposed to ordinary calculus which deals with functions .

变分法是处理函数的函数的数学领域，和处理数的函数的普通微积分相对。

Base on study for increasing decarburize velocity in the state and word , founding a mathematics model of decarburizing in RH equipment through practice of operation and experimentation. Applying the model calculation, obtain reasonable process parameters of management and status of hot metal before management of decarbonization using RH—MFB equipment.

在借鉴国内外为提高RH脱碳速度的研究成果基础上，结合攀钢RH—MFB的实际及前期IF钢试验情况，建立了RH脱碳数学模型，通过计算提出了攀钢RH-MFB处理超低碳IF钢较合理的来钢条件及处理过程工艺参数。

After a brief summary on data mining and rough set theory, the research works in the thesis can be descript as follows: 1. To the problem that finding rules in enormous data is very timeconsumable and the expansibility of existed algorithms is not very good, the thesis proposes a new method to discompose large data table based on the concepts of positive region and the importance of attribute in rough set theory.

Rough集理论是一种新型的处理不确定性知识的数学工具，围绕着数据挖掘领域存在的问题，本文利用Rough集理论与Rough分析工具，提出若干解决方案，同时在具体处理问题过程中引入了信息理论、因子分析等方法，与Rough分析结合使用，讨论了Rough集技术在知识发现、关联规则挖掘、模式分类以及数据清洗等问题中的应用。

After analyzing the results, the best processing technique for UHP of hairtail is achieved, which is after 30 seconds of the pre-processing, holding it for 15min with the pressure of 350MPa. In this way, more than 99% of the bacterias are killed, and the preserving period of the processed hairtrail is extended to 15 days under normal temperature.

对检测结果进行数学分析后，得到了超高压处理带鱼的最优加工工艺，为预处理30s后加压到350MPa保压15min，灭菌率达99％以上，并使加工后的带鱼在常温条件下的保质期达到了15天。

MatLab the book from the start of basic knowledge in detail on the various orders, to the readers of MatLab in higher mathematics, linear algebra, symbolic operation, graphics and image processing. data processing and the application of the external interface design.

本书从MatLab的基础知识入手，在详细介绍各种命令的同时，向读者介绍了MatLab在高等数学、线性代数、符号运算、图形图像处理、数据处理等方面的应用和外部接口程序设计。

This thesis systematically reviewed the development of research methods of domestic and foreign float glass tank, and using Computational Fluid Dynamics software Fluent established mathematical model of glass flow and heat transfer model in the float glass tank.

本文在前人关于浮法玻璃熔窑数学模拟研究的基础上，利用计算流体力学模拟软件Fluent建立了浮法玻璃熔窑内玻璃液传热与流动模型的数学模型，适当利用简化处理方式对浮法玻璃熔窑内玻璃液流场和温度场进行数值模拟。

The paper mainly discusses the application of AHP in the mathematical modeling and the estimation and administration of milkmen, which is a kind of multiple-criterion measures combined the quality and the quantity to illustrate subjective judgment in quantitative index.

本文主要研究了AHP法在数学建模以及送奶工评价与管理研究中应用的问题。层次分析法是一种定性与定量相结合的多准则决策方法，可以将人的主观判断用数量形式表达和处理。论文首先介绍了问题的背景、数学建模的发展、层次分析法的发展与理论等，指出了研究的重要意义。

At present , concentrate on the research of rough sets theory mainly: The popularization of the rough sets model collected, the uncertainty research of the problem, with other treatment uncertainty, fuzzy mathematics relation and complementation of theories of questions, the research of the pure mathematics theory, rough sets research and research of the artificial intelligence other directions relation that collect ,etc, some of the research is by the push that is used is produced , some of pure theories.

目前，对粗糙集理论的研究主要集中在：粗糙集的模型的推广，问题的不确定性的研究，与其他处理不确定性，模糊性问题的数学理论的关系与互补，纯粹的数学理论方面的研究，粗糙集的算法研究和人工智能其他方向关系的研究等，这些研究有的是受应用的推动而产生的，有的是纯理论的。

This text aims at the difference of several representative geology conditions in Yang Shui mining area, carried on the primary election to the mining method of Yang Shui mining area, introduced the new theories of numerical optimization choice of mining method that are fuzzy mathematics and artificial neural network etc, based on the existing mining methods that are feasible, adopt the fuzzy optimization choice principle of flexible neural networks, and synthesize several experts and fieldworkers' opinion, built up the related mathematical model and revised model, carried on processing of programming through computer, thus established each optimization mining project under several representative geology conditions in Yang Shui mining area, and carried on optimizing to the existent unreasonable parameter in mining project;have the great significance to aim at each kind of geology condition for each mining area to adjust the mining method in time in the course of mining, abandon chronically unreasonable mining method, full reclaim the mine's resource, lower the dilution rate、 loss rate of mineral mining, raise the production capacity of stope and economic benefit of mine.

本文针对洋水矿区几种典型地质条件差异，对洋水矿区采矿方法进行了初选，介绍了模糊数学和人工神经网络等采矿方法数值优选新理论，在现有可行性采矿方法的基础上，采用弹性神经网络模糊优选原理，并综合多位专家及现场工作者的意见，建立了相关的数学模型及修正模型，通过计算机进行编程处理，从而确立了洋水矿区几种典型地质条件下各自的最优采矿方案，并针对采矿方案中存在的不合理参数进行了优化，为各矿区针对各类地质条件在采矿过程中及时调整采矿方法，摈弃习惯性的不合理采矿方法，充分回收矿山资源、降低矿石开采的贫化率、损失率，提高采场生产能力以及矿山经济效益具有重大意义。

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。