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Abstract: The fuzzy math since its inception in 1965 has made progress by leaps and bounds. The limitations of traditional mathematics, about the emergence of fuzzy mathematics; an overview of the development of fuzzy mathematics; from home and abroad were introduced both the development of fuzzy mathematics and math for how to correctly understand its ambiguity, clarity, and stochastic approximation with the ambiguity of the distinction between a discussion and links to further clear the classical mathematics of fuzzy mathematics and the relationship between the ambiguity of the objective of universality. Mathematics based on fuzzy comprehensive evaluation model, using examples of how to conduct a comprehensive assessment of the library. Keywords: fuzzy mathematics; ambiguity; Library; Application
Topic: the recursive formula for the series - Abstract: recursive formula for the series-of nine types, and various types of solutions for analysis of its status and role. Identify which contains the mathematical literacy and the ability to solve practical problems between the culture of the dialectical relationship between both knowledge, or in the capacity, is further studying other series on the basis of knowledge. The recurrence formula has extensive practical application, in the future continue to learn the basic knowledge of advanced mathematics, and can solve the series of problems - of-law, but also training in computing power and reasoning ability and equivalent transformation function equations, a few - the combination of the important mathematical way of thinking.
For positive series of study, the most important thing is to live learning, clever distinguish all kinds of hair in that series convergence divergence, should use what kind of method. The definition method is foundation, comparing criterion is the primary, the other method is the key. In a word must learn to distinguish positive series. In the divergence is one of the important tools to study the function, the series is one of the important methods to produce new function, but it is also said to known function, the approximation of the effective method, the approximate calculation plays an important role.
摘要：为了提取确定性部分 从趋势非平稳时间序列，回归分析 由赤池信息准则（国际慈善协会）的市场规模 和平均粒径的蚕茧丝介绍和 确定性部分是从一系列的大小 蚕茧丝的分析结果。实验 模拟确定性成分on9cocoon类 进行，与实验结果进行了分析。 通过分析和试验，众所周知，选择 该命令和系数的回归方程的汽车工业是 有利于准确地描述之间的关系 部分价值和平均值。这项研究也是有益的 预处理的非平稳时间序列。 导言 在分析尺寸系列（或大小曲线）蚕茧 长丝，还存在着一些有趣的统计问题， 吸收专家研究[ 1,2 ] 。经过测量和 调查长丝规模一些茧类别，大小 这一系列数据茧类可以得到。这些 数据可以被视为家庭的时间序列与 不同长度，这是从非平稳趋势 和自协[ 3 ] 。统一后的一系列长度，我们 能获得家庭的非平稳时间序列的 同样长度[ 4,5 ] 。为了进一步研究这种类型的时间 系列，有必要提取确定性（或趋势） 和随机成分。 对于数学描述，在第一，大小系列 蚕茧丝介绍了回归方程in4 - 为了与论点的长度。因为这项研究并没有 分析了随机组成部分系列， the4th 为了回归方程不能完全说明 纤度的一些茧类和无法使用 模拟系列。此后，方法，时间序列 分析用来研究系列，确定性和 随机成分提取系列， 阶梯自回归模型已提议。那个 随机组成部分进行了分析和模拟的时间 一系列有限长度，相当不错仿真结果 实现[ 6,7 ] 。有两种方法提取 确定性部分的系列，一个是倒退 线性的系列长度参数，另一个是向 回归线性部分尺寸的一系列的论点
“毕业论文”的英文：Graduation Dissertation
Dissertation 读法 英 [,dɪsə'teɪʃ(ə)n] 美 ['dɪsɚ'teʃən]
n. 论文，专题；学术演讲
短语：
1、academic dissertation 学位论文 ; 学术论文
2、Graduation Dissertation 毕业论文
3、Doctorate dissertation 博士论文
4、Dissertation Committee 论文委员会
5、dissertation topics 毕业论文题目
词义辨析：
article, paper,dissertation, essay, prose, thesis这组词都有“文章”的意思，其区别是：
1、article 多指在报刊、杂志上发表的非文艺性的文章，包括新闻报导、学术论文等。
2、paper 正式用词，多指在学术刊物上发表或在学术会议上宣读的专题论文，也指高等学校的学期论文，或学校里的作文练习。
3、dissertation 书面语用词，指独立研究后所写的较为详细的专题文章；也可指学位论文。
4、essay 指任何一种非小说性的，篇幅不长、结构简练的文章，如论说文、报道、评论、讽刺性杂文等。
5、prose 专指散文。
6、thesis 既可指毕业论文、学位论文，又可指一般的为阐述学术观点而写的论文。
例句：
1、Exploring "Trinity Working Mode" of Integrating Graduation Field Work, Graduation Dissertation and Employment on Graduation.
毕业实习、毕业论文与学生就业三位一体工作模式探索。
2、On Problems in Writing Graduation Dissertation
关于撰写毕业论文应该注意的问题。
把重复率非常高的段落，用在线翻译，翻译成小语种，比如法语、俄语、西班牙语等等，然后再翻译回来，你会发现，整句话会给人耳目一新的感觉！北京译顶科技做的不错，可以联系他们一下你可以统一去知道了解下
ThesisForGraduation毕业论文ThesisForAcademicDegree学位论文Thesis表示比较严肃的文章，是带有一定目的的，研究性的文章。学位论文，研究报告。
***这是标准的学士学位毕业论文的说法，.代表文学学士，.代表理学学士，***处填上专业。
论文（Paper）或：dissertation（论文）或：thesis（论文）经常说的：）~Englishdissertation(英语论文)Graduationthesis(毕业论文)
毕业论文的英文翻译是thesis，音标是英 [ˈθi:sɪs] 美 [ˈθisɪs] 。
n.论文，毕业论文;论点，论题;命题
1、There is no empirical evidence to support his thesis.
他的论文缺乏实验证据的支持。
2、How well does this thesis stand up to close examination?
这个命题经得起推敲吗？
3、He has finished his thesis.
他的论文完成了。
4、She's finished writing her thesis.
她那篇论文写出来了。
5、Please write an abstract of this article 〔 thesis 〕.
请写一份这本书〔这篇论文〕的摘要。
The article has a clear-cut thesis and arguments, but lacks reasoning.
文章论点、论据鲜明，但缺乏论证。
毕业论文thesis[英][ˈθi:sɪs][美][ˈθisɪs]n.论文，毕业论文; 论点，论题; 命题; 复数：theses易混淆单词：THESIS例句: completed his doctorate in 1999 with his thesis on the technical subject of structural design. 1999年，朱竞翔获得博士学位，博士论文写的是结构设计的技术问题。 is a beguilingly simple thesis, one particularly attractive to the western business executives who have joinedthe china gold rush. 但这是一个具有欺骗性的简单论点，对参与中国淘金浪潮的西方企业高管尤其有吸引力。 have a grand new thesis of the emerging markets. 我们现在得出了一套全新的新兴市场理论。 question now is whether the overstretch thesis was wrong or simply premature. 目前问题是，过度扩张说是错误命题还是只是言之过早。 thesis is that women still do so badly at work mainly because we are not ambitious enough. 书的主题是：女性的工作表现仍如此糟糕，主要是因为我们不够有雄心。同义词：dissertation[英][ˌdɪsəˈteɪʃn][美][ˌdɪsərˈteɪʃn]n.专题论文，学位论文; 学术演讲; essay[英][ˈeseɪ][美][ˈɛsˌe, ɛˈse]n.散文; 随笔，杂记文; 尝试，企图; 试验; vt.尝试; 试验; 经常说的：English dissertation(英语论文)Graduation thesis(毕业论文)
***这是标准的学士学位毕业论文的说法，.代表文学学士，.代表理学学士，***处填上专业。
论文（Paper）或：dissertation（论文）或：thesis（论文）经常说的：）~Englishdissertation(英语论文)Graduationthesis(毕业论文)
“毕业论文”的英文：Graduation Dissertation
Dissertation 读法 英 [,dɪsə'teɪʃ(ə)n] 美 ['dɪsɚ'teʃən]
n. 论文，专题；学术演讲
短语：
1、academic dissertation 学位论文 ; 学术论文
2、Graduation Dissertation 毕业论文
3、Doctorate dissertation 博士论文
4、Dissertation Committee 论文委员会
5、dissertation topics 毕业论文题目
词义辨析：
article, paper,dissertation, essay, prose, thesis这组词都有“文章”的意思，其区别是：
1、article 多指在报刊、杂志上发表的非文艺性的文章，包括新闻报导、学术论文等。
2、paper 正式用词，多指在学术刊物上发表或在学术会议上宣读的专题论文，也指高等学校的学期论文，或学校里的作文练习。
3、dissertation 书面语用词，指独立研究后所写的较为详细的专题文章；也可指学位论文。
4、essay 指任何一种非小说性的，篇幅不长、结构简练的文章，如论说文、报道、评论、讽刺性杂文等。
5、prose 专指散文。
6、thesis 既可指毕业论文、学位论文，又可指一般的为阐述学术观点而写的论文。
例句：
1、Exploring "Trinity Working Mode" of Integrating Graduation Field Work, Graduation Dissertation and Employment on Graduation.
毕业实习、毕业论文与学生就业三位一体工作模式探索。
2、On Problems in Writing Graduation Dissertation
关于撰写毕业论文应该注意的问题。
“论文”一词的英文表达很多，通常因场合、用处不同而有不同的表达，下面罗列了几种，请楼主斟酌一下那一种是适合自己。*dissertation（博士学位）论文，（专题）论文，学术演讲：长而正式的论文，尤指大学里由博士学位攻读者所写的论文；学位论*disquisition专题论文；专题演讲，专题讨论：关于一个论题的正式讨论，常为书面形式*thesis命题论文：尤指出于获得学位的研究需要而改进原来观点以作为研究成果的论文*discourse（学术）讨论，研讨用的论文*paper作业形式的，为达到某一目的或效果（如学位）而写的
thesis论文(一本，如硕士，博士论文)。paper文章(发表在杂志上的一篇一篇的)ÄÕÂ
毕业论文英文致谢词
毕业论文英文致谢词，不管是上班族或者是学生党都应该读过或是写过致谢词，致谢词运用非常的广泛，在外国的'学生需要英文致谢词，英文致谢词怎么写，我和大家一起来看看答辩论文简短致谢词的相关资料。
Upon the completion of this thesis,I am grateful to those who have offered meencouragement and support during the course of my study.
First,specialacknowledgment is given to my respectable supervisor whose patient instruction andconstructive suggestions are beneficial to me a lot.
Second, particular thanks go to allthe teachers and professors who have taught me for their instruction and generoussupport during these years. What is more, I would like to present my thanks to one ofmy special friend from whom I get tremendous love and encouragement as well astechnical instruction. Finally, I would like to express the most heartfelt gratitude to myfamily members who have provided me great help and support.
Though the mostunfortunate thing happened to me, while I survived and became sfronger. Their love isalways the source of my strength during the period of thesis writing. And I love you,dad.
I would like to dedicate my paper to all those who have offered me tremendousassistance during the three years in Zhejiang University of Finance and Economics.
First of all, my heartiest thanks flow to my supervisor, Professor Cao Daogen, forhis helpful guidance, valuable suggestions and constant encouragement both in mystudy and in my life. His profound insight and accurateness about my paper taught meso much that they are engraved on my heart. He provided me with beneficial help andoffered me precious comments during the whole process of my writing, without whichthe paper would not be what it is now.
Also, I would like to express my sincere gratitude to all the professors who havetaught me in this university that greatly broadened my horizon and enriched myknowledge in my study. Their inspirational and conscientious teaching have providedme with a firm basis for the composing of this paper and will always be of great valueto my future academic research.
My thanks also go to the scholars whose monographs and academic papers haveenlightened me in the writing of this paper.
Finally, I would like to extend my deep gratefulness to my family and friends,especially my three roommates, Chen Linghua, Gong Sha and Huang Jin, whoseencouragement and support have made my accomplishments possible.
英文毕业论文的Acknowledgement范本
First and foremost, I appreciate my college which gives me a comfortable learning atmosphere. Second, I would like to show my deepest gratitude to my supervisor, Miss Zhang, who has walked me through all the stages of the writing of this thesis. Without her illuminating instruction and patience, this thesis could not have reached its present form.
I am also greatly indebted to all my teachers who have helped me to develop the fundamental and essential academic competence. My sincere appreciation also goes to all my classmates, who are my proud of my life. Last but not least, I want to thank all my friends, especially my three lovely roommates, for their encouragement and support.
范本翻译
首先，我很欣赏我的大学，它给了我一个舒适的学习环境。第二，我想对我的导师张小姐表示最深切的感谢，她陪我走过了这篇论文写作的所有阶段。
如果没有她富有启发性的指导和耐心，这篇论文就不可能达到现在的形式。我也非常感谢我所有的老师，他们帮助我发展了基本的和必要的学术能力。我真诚地感谢我所有的同学，他们是我生命的骄傲。最后，我要感谢我所有的朋友，特别是我那三个可爱的室友，感谢他们的鼓励和支持。
Dormitory superintendent school Dong principal fellow teachers fellow schoolmates hello. I am sixth grade ___________. Today can represent the sixth grade all schoolmate to lecture to on I really was honored extremely. Six years enough have established six years sentiment in the school day today were last day put on the school uniform in the school to be together with the schoolmates. I give up the alma mater teacher and the schoolmate very much. We also will move on tomorrow will track down own to the different place ideal a our like shortsighted person just is suddenly rescued by the crow had a look the beautiful world and the true society. Believed in alma mater teacher certainly can hope our naive leaving another day succeeds ing back. Finally I the schoolmate which am going to graduate on behalf of all wishes fellow teachers to work happily wishes the schoolmates studies to be progressive. Thanks you. 帮你改咗少少 校监、校董、校长、各位老师、各位同学 你哋好。我系六年级嘅___________。今天，能够代表六年级到台上演讲，我真的感到十分荣幸。六年了，在学校的日子足足建立了六年的感情，今天是最后一天在学校穿着校服跟同学们相处了。 我很舍不得母校、老师和同学。明天起，我们也各奔前程，到不同的地方追寻自己的理想，我们恍如一只井底之蛙刚被乌鸦救了出来，去看看美丽的世界和真正的社会。相信在母校的老师一定会希望我们天真的离开，他日成功的回来。 最后，我代表全体将要毕业的同学，祝各位老师工作愉快，祝同学们学业进步和身体健康！ The dormitory superintendent school Dong principal fellow teachers fellow schoolmates you are good. I am sixth grade ___________. Today can 够 represent the sixth grade to lecture to on I really was honored extremely. Six years enough have established six years sentiment in the school day today were last day put on the school uniform in the school to be together with the schoolmates. I give up the alma mater teacher and the schoolmate very much. We also will move on tomorrow will track down own to the different place ideal a our like shortsighted person just is suddenly rescued by the crow had a look the beautiful world and the true society. Believed in alma mater teacher certainly can hope our naive leaving another day succeeds ing back. Finally I the schoolmate which am going to graduate on behalf of all wishes fellow teachers to work happily wishes the schoolmates studies progress and the health! Headmaster staff and students. I'm __________ from Primary 6. Today it's my honour to speak on stage on behalf of primary 6. I have been in this school for 6 years. Today it's my last day to speak with my schoolmates with my school iniform on. I could not fet my school teachers and Tomorrow we would spread out to different places and pursue their own are like the trapped frogs being rescued by the oak. and see how beautiful the world is . I believe the teacher would expect us to leave gloriously from school and bee a successful man in the future. We appreciate the school staff and teachers in particular for their effort to maintain the wellbeing of each student and help developing each student in a stable way so that each of us wouls gain the knowledge we need and how to deal with the society ahead of us. Finally On behalf of the graduates I wish the happiness of the teacher and wish every student to make tremendous progress on their academic life at school. 参考: Longman Dictionary Speech Preparation