数学基础

Among used machine learning methods, the gradient descent method is widely used to train various classifiers, such as Back-propagation neural network and linear text classifier. However, the gradient descent method is easily trapped into a local minimum and slowly converges. Thus, this study presents a gradient forecasting search method based on prediction methods to enhance the performance of the gradient descent method in order to develop a more efficient and precise machine learning method for Web mining.However, a prediction method with few sample data items and precise forecasting ability is a key issue to the gradient forecasting search method. Applying statistic-based prediction methods to implement GFSM is unsuitable because they require a large number of data items to model a prediction model. In the contrast with statistic-based prediction methods, GM(1,1) grey prediction model does not need a large number of data items to build a prediction model, and it has low computational load. However, the original GM(1,1) grey prediction model uses a mathematical hypothesis and approximation to transform a continuous differential equation into a discrete difference equation in order to model a forecasting model.

其中梯度法是一个最常被使用来实现机器学习的方法之一，然而梯度法具有学习速度慢以及容易陷入局部最佳解的缺点，因此，本研究提出一个梯度预测搜寻法则(gradient forecasting search method， GFSM)来改善传统梯度法的缺点，用来提升一些以梯度学习法则为基础的分类器在资讯探勘上的效率与正确性；而一个所需资料量少、计算复杂度低且精确的预测模型是梯度预测搜寻法能否有效进行最佳解搜寻之关键因素，传统统计为基础之预测方法的缺点是需要较大量的数据进行预测，因此计算复杂度高，灰色预测模型具有建模资料少且计算复杂度低等优点，然而灰色预测理论以连续之微分方程式为基础，并且透过一些数学上的假设与近似，将连续之微分方程式转换成离散之差分方程式来对离散型资料进行建模及预测，这样的作法不尽合理，且缺乏数学理论上的完备性，因为在转换过程中已经造成建模上的误差，且建模过程仅考虑相邻的两个资料点关系，无法正确反应数列未来的变化趋势。

The article shows the importance of mathematics and has probed some reform for the mathematics teaching in high profession, and also elaborated the principle of "necessity and ede- quncy" for the teaching in education, which is to join up with the professional courses;paying at- tention to the ability of students for mathematical accomplishement and enduring study; empha- sizing the adaptability of fundament, interesting, ability and major with students; and also em- phasizing to merge the mathematical mod...

本文揭示了数学的重要性，对高职高专数学教学改革做了一些探讨，阐述了高职教育中，数学教学应以"必需、够用"为原则，与专业课紧密衔接；要注重培养学生的数学素养和可持续学习的能力；要注重学生的类比推理能力的培养；强调教学要与学生的基础相应，与学生的兴趣、能力、专业相适应；强调把数学建模的思想融入到教学中，以提高学生运用数学工具解决实际问题的能力。

Because the mathematical linguistics are one kind by the mathematical symbol, mathematics terminology and the scientific language which is composed after the improvement natural language, therefore in mathematics teaching, the teacher not suitable direct use mathematical linguistics achievement teaches the language generally, but must act according to student's knowledge foundation and the psychological feature, transforms the mathematical linguistics as easily the language which is accepted by the student.

由于数学语言是一种由数学符号、数学术语和经过改进的自然语言组成的科学语言，因此在数学教学中，教师一般不宜直接使用数学语言作为讲授语言，而必须根据学生的知识基础和心理特征，将数学语言转化为容易被学生所接受的语言。

Language is the carrier of communication and understanding, learning math is math thinking, mathematics and mathematical language is a tool for thinking, so to master the language of mathematics is a smooth and effective conduct of mathematics learning activities of one of the important foundation.

语言是沟通与理解的载体，数学学习活动基本上是数学思维活动，而数学语言是数学思维的工具，所以掌握数学语言是顺利地、有成效地进行数学学习活动的重要基础之一。

The results were as flowers:(1) many mathematics-majors students have low degree of professional commitment and learning self-efficacy,and serious disability of learning adaptation,apparently in environment-factor and learning-movivation;(2) there were signifiant different on learning adaptation,learning self-efficacy and academic achievement between male and female;(3)learning adaptation,professional commitment and learning self-efficacy of mathematics-majors students could serve as a predicator of their academic achievement.

为了使数学专业大学生能够较好地掌握数学专业课程的基础知识并培养学生的基本能力，提高专业成绩，首先要了解影响数学专业大学生数学学业成绩的诸多因素，并以此为依据，有的放矢地进行教育教学。许多研究表明，影响学生学业成绩的个体因素，一般分为智力和非智力两大因素。笔者认为，在影响大学生数学学业成绩的非智力因素中，学习适应性、专业承诺和学习自我效能感是主要因素。

It's pointed out that soft sensor will play more important role in field bus network control system. According to this, a crude solution was addressed. At last, we point out that soft sensor technology must used to build an information warehouse for the whole enterprise, combined with data fusion, data warehouse, data rectification and other related technologies. The main contributions of this dissertation are as follows: The background, requirement, and application situation of soft sensors are expounded, the theories, methods and skills of soft sensing technology are analyzed, and the fruits and problems in current soft sensor technologies are summarized. Some new methods of soft sensor is proposed: A principal component analysis-based secondary variable selection method are proposed; A new conception which modeling data should have gross error detection is addressed, and then a cluster analysis-based modeling data gross error detection method is given.

本文的主要贡献有：对软测量技术根据实践的要求进行了一定的理论研究，针对具体问题提出了新的方法：讨论了辅助变量选择问题，研究了基于主元分析的辅助变量选择方法，该方法克服了传统方法只能利用数学模型产生的仿真数据进行最优辅助变量选择的缺点，可以根据历史数据进行辅助变量选择；提出了建模数据显著误差侦破的概念，指出传统的显著误差侦破研究的是已知过程数学模型的情况，而建模时数学模型是未知的，但是直接来自现场的数据并不能保证不含显著误差，并用基于聚类分析的方法解决了该问题，该方法利用聚类分析原理，直接面对过程数据，不需以过程模型为基础，在此基础上给出了软测量建模过程中样本数据的处理方法。

Then, it studies the supply chain management system as a complex system to confirm the state existing during operating of the system. After that, it conducts a probability analysis on the state which the system located by applying supplement variable method, and establishes the model of distributed parameter system in a form of partial differential equations. Combining C0 ? semigroup theory in the functional analysis, it conducts a dynamic analysis on the established mathematical model. Using this method, it obtains the mathematical expression of the dynamic solution and the steady state solution, and proves the uniqueness, non-negativity and the asymptotic stability of the system solution. This dissertation applies the Matlab tool and uses two-step, three-step Simpson integral equation to imitate the condition of system solution. Then, it adds possible mode of failure and the optimization adjustment state to the system, based on which it has established the distributed parameter system model which is described by partial differential system of equations. Combining the functional analysis C0 ? semigroup theory, it studies the established mathematical model, and obtains the mathematical expression of the dynamic solution system and the steady state solution. It has proven the existing of uniqueness of the system solution, the asymptotic stability of system solution and the system solution. In addition, it has lying the theory rationale for further analysis and the research on the optimization of system.

本文首先简要综述了供应链理论、可靠性研究、鲁棒性研究以及供应链鲁棒性研究的现状；然后，将供应链系统作为一个复杂系统来分析，确定了系统运行过程中所经历的状态，通过引入补充变量的方法，建立了用偏微分方程组描述的分布参数系统模型，用泛函分析中的C_0 -半群理论得到了系统动态解和稳态解的数学表达式，证明了系统解存在的唯一性、非负性和指数阶渐近稳定性；并借助Matlab工具，利用二阶、三阶辛普森积分方程模拟系统解的性态，并给出系统动态解的仿真图；本文又对上述系统增加了系统可能失效状态和优化调整状态，并在此基础上建立了用偏微分方程组描述的分布参数系统模型，同样用泛函分析中的C_0 -半群理论对所建立的数学模型进行了研究，得到系统动态解和稳态解的数学表达式，证明了系统动态解存在的唯一性、非负性及渐近稳定性，为进一步分析和研究供应链优化奠定了理论基础。

The dissertation has summarized the historical experience of our army competitions on wide research, analyzed roundly the requirement of the"Two Competitions"comprehensive evaluation system. It has been according as the"Compendia of Construction in Military Grassroots",based on the modern mathematics and model method ,been supported by the information technology and synthetically applied much method such as Delphi, AHP, Fuzzy, Metasynthesis, WSR, etc. And also, taken the characteristic and the practical experience of the"Two Competitions"into account, the dissertation has discussed the functional structure and comprehensive evaluation index system, and also constructed the comprehensive evaluation model with the Fuzzy Mathematics.

本文在广泛调查研究，总结我军开展争先创优活动的历史经验的基础上，全面分析了&双争&活动对综合评估系统的需求，以《军队基层建设纲要》为依据，以现代数学理论和建模方法为基础，以信息技术为支撑，综合运用德尔斐、层次分析、模糊数学、综合集成、物理-事理-人理等方法，同时结合&双争&评比自身的特点和实践经验，探讨了系统功能结构的设计思路和综合评估指标的构建方法，并运用模糊数学理论构建了&双争&模糊综合评估模型。

For preparing for the researches of text digital watermarking and advantaging other researchers" development when using the Chinese mathematical expression theory, this paper designs and realizes a development platform of Chinese mathematical expression. It has been proved by experiments that the platform"s function, execution speed and stability can satisfy the requirements of conversion and operation of enormous data.This research found out that the structure information of Chinese have plenty redundant information that can be used by the Chinese mathematical expression for the digital watermarking, the data embedded can possess better robustness. Based on this finding, this paper designs a kind of text digital watermarking method of embedding watermarking by using Chinese structure, and realizes the method by using the Chinese mathematical expression platform.Considering the watermarking embedding algorithms importance to the robustness of the text digital watermarking, this paper makes fully use of the advantage of the Chinese mathematical expression theory to design a kind of layered text method, which has being realized by using the Chinese mathematical expression platform. The layered text method can handle the text as a solid structure, and the embedding data havepreferable robustness.Finally, based on the researches of the text digital watermarking method and the text layered method, this paper integrates the method of making use of the Chinese structure embedding watermarking with the robust algorithm based on text layered, and realizes a brand-new text digital watermarking method. Proved by lots of experiments, this brand-new method has good robustness and better invisibility.

为了为研究工作做准备和方便其他使用汉字数学表达式理论体系的人进行开发，本文基于汉字数学表达式理论设计实现了一个汉字数学表达式平台，实现了Unicode汉字集中的汉字、汉字数学表达式、汉字的Unicode码之间的相互转化、依据汉字数学表达式提取汉字的结构信息、由汉字数学表达式在非中文平台上不依赖字库显示汉字的图像等功能，使用复合文档技术和流压缩技术进行数据的存储，使用对汉字数学表达式进行二叉树拆分来处理汉字数学表达式中包含的信息，使用自定义哈希函数来提高运行速度，实验证明，该平台功能、速度和稳定性完全能满足大量数据的转化和运算要求；通过研究表明汉字的结构信息中存在大量可使用汉字数学表达式理论加以利用的水印加载空间，加载在该空间的数据可以具有较好的鲁棒性，基于此，本文设计了一种利用汉字结构加载水印的文本数字水印方法，并使用汉字数学表达式平台将其实现；由于水印嵌入算法对于文本数字水印的鲁棒性至关重要，本文充分利用汉字数学表达式理论的优点，设计了一种文本分层的方法，并使用汉字数学表达式平台将其实现，使文本成为一个立体的空间，使嵌入在其中的数据具有更好的鲁棒性；最后在基于汉字数学表达式的文本数字水印嵌入方法的研究和基于汉字数学表达式的文本分层方法的研究的基础上，结合利用汉字结构嵌入水印的方法和基于文本分层的抗攻击文本水印嵌入算法实现了一种全新的文本数字水印方法，经实验证明，该方法有良好的鲁棒性和较好的隐蔽性。

Therefore, the study is significant both theoretically and practically. As a result, the studying aim of this paper is to establish a practical and complete system for the prediction of ship maneuvering motion, taking into account of the influence of the environmental factors, such as the wind, wave and current, establish a practical and complete system for the prediction of ship maneuvering motion. In this paper, the OpenGL virtual reality simulation technique is introduced into the field of ship maneuver and control, and using the MMG mathematical model, the three dimensional dynamic simulation system of the ship motion is established and good results are achieved. In the process of the system development, firstly, the maneuvering motion equations for ship in the still water are established, based on the MMG module mathematical model and serial experimental result. After compiling the program, the calculation results are compared with the experimental data, the coherence between them validate the mathematical model.

在系统开发过程中，首先采用MMG分离式数学模型及相关的系列化试验结果，建立单桨单舵海洋运输船舶在静水中的船舶操纵运动方程，并编制计算程序，经与试验结果比较，证实了计算结果的正确性；为了解MMG数学模型中模型参数变化对操纵性指数的影响程度，作者在上述已有程序基础上，对有关模型参数进行偏移修正，探讨了相应参数变化后的操纵性指数，对船舶操纵性指数对模型参数的灵敏度进行了详细的分析与探讨，所得结论与工程实际相吻合，具有实际应用价值，并为进一步提高船舶操纵性预报的精度打下了基础；然后，在已有的船舶静水操纵运动模型基础上，考虑双桨双舵的影响，建立了内河双桨双舵船舶的操纵运动模型；最后，综合考虑风浪流作用力的影响，进行了船舶的操纵运动仿真计算。

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。