In capacity as Professor of Mathematics at Fudan University?I'm writing to recommend Mr. Wang?Gesintosyour PhD program in Computer Science. I have known Mr. Wang since his sophomore year of college?and have acted as his thesis advisormentor. In my experience?he is a gifteddiligent student?and an admirably hard worker.
Wang is an impressive student because he has been forced to overcome the significant challenge of a serious illness during his freshman year. When I first met Wang in my Discrete Math class?he did not appear to be anything special to me. While his exam scores were good?they were not as high as I would now expect of him.
What I didn't know then was that due to his illness?Wang was attempting to take all of the difficult early mathematics courses at one time?including Discrete Mathematics?Advanced Mathematics?Linear Algebra?and Possibilities. While most students found preparing for just one set of these exams difficult?Wang was overwhelmed by four of them. But in the end?he achieved an impressive score on the final exam?which made me conscious of his unusual determination he demonstrates when confronting difficult challenges.
Mr. WangI have often talked about a variety of mathematicscomputer science conceptsproblems. During these discussions?I always found him to be delightfully intelligent. Not only does he quickly understand the conceptsproblems presented to him?he is able to analyze these problemspresent solutions. But perhaps most important is that Wang's thinking is intensely rigorous. When looking at any question?he carefully scrutinizes itif he finds any uncertain issue
he clears them up immediately. I believe this kind of thought is essential to become an excellent computer programmer.
Serving as his thesis advisor?I had a first-hand opportunity to observe the way in which Wang's mind works. In his senor thesis?Mr. Wang mainly discussed two challenging questions in regards to″ANN″。 In our books in China?knowledge of ANNits uses are very rare. Few people in China have studied this topicconsequently?the materials that are available on ANN are limited. Working on this difficult project?not only did Mr. Wang rise to the challenge?but he went abovebeyond the call of duty to analyze his secondary sourcestest them for accuracy in practice. In this way?he found mistakes in the book that we use. His diligencehard work made me extremely proud of him.
谈起网络,不少人都要开始眉飞色舞,津津乐道了。但说真的,网络对你而言真的是受益终生的精神食粮吗?
对某些人而言,当然是。他们从小学开始便接触了各种软件、网游、单机游戏,甚至在个位数的年纪已经冲上了排行榜,开始发家致富。
在学校不善言辞,胆小懦弱的他们,“回归”了网络的虚拟生活便开始解放“天性”。一张嘴开始口若悬河,一双手在键盘和鼠标前交换自如。谁能想象到在课堂上畏畏缩缩的他们还能有如此放肆自我的时刻呢?
网络改变了他们,改变了二十一世纪的一切。表面上网络方便,快捷了我们的生活,但在我看来,网络的弊端是我们更应该思考的地方。
网络使人们的距离越来越远。
很多人也许要开始有疑问了,网络不是让人们更亲近吗?何来的距离呢?在交友软件越来越受欢迎的二十一世纪,人们即使相距着大海洲际,一个电话也能解相思之愁。在遥远的古代,李白用一句“举头望明月,低头思故乡”的千古绝唱,道出了多少游子的浪漫乡愁。
而现在,没有人再去空发思乡之愁,也没有人喜欢每天打电话互相寒暄,更多的人是低着头刷手机,忙着回微信中别人群发的信息。甚至逢年过节,一桌丰富的菜都无人问津,对面而坐的两人互发作节日快乐。
网络使人们与社会脱节。
网络刚刚兴起的那年,我八岁,第一次看到爸爸的HTC智能手机的时候,我异常兴奋。一块黑色的“砖头”竟然能玩俄罗斯方块!不仅如此,它还能看电视节目、查资料、购物、给生活带来了许多新鲜感。
可后来,我渐渐发现自己在家宅了很长时间,没有出门购物,没有去图书馆看书,没有定时守在电视前看最爱的节目。这一切都被淘宝电子书,视频软件所替代,出门的时间越来越少,抱着手机的时间越来越多。
这一切都是网络造成的。
那难道网络就真的一无是处了吗?当然不是,网络在提供一些方便的同时,也在挑战着人类的极限。网络越来越发达,世界越来越智能,这一切在几千年以前,怕是诸葛亮和吴用也算不到吧。
人类以不可名状的速度发展,未来会是怎样我们不得而知。但我相信在不远的将来,网络会越来越完善,为人类造福!
我是复旦大学数学系教授,在此写信推荐王XX。我认识王XX自大学二年级,担任他的导师。在我眼中,他是一个勤奋的学生和一个令人钦佩的孩子。
他是一个令人印象深刻的学生,因为在他大一年级的时候他不得不克服与挑战严重疾病。在我的数学课上第一次遇见他,并没有觉得他有什么特别的!然而,他的成绩好得高过我对他的期望。王XX试图把所有困难的早期数学课程,同时包括离散数学、高等数学,线性代数都学好,在此期间我是不知道他是有病在身的。而大多数学生认为王XX同学就算只准备一门课程的考试都很难,然而,最终他取得一个令所有人都意外的期末成绩,使我深深意识到他那不寻常的决心,他给我们展示了当面对艰难时是如何的坚强。王同学和我经常谈到的各种数学和计算机科学的概念和问题。
在这些讨论,我总能发现他的见解很独特,是个聪明的孩子。他不仅很快理解概念,同时给他提出的问题,他能够分析并提出解决方案。最重要的是,王同学发现任何问题他都认真负责重新审查,如发现不确定性问题,他立即清除他们。我认为这种想法是成为一名优秀的计算机程序员必须具备的基本条件。作为他的导师我会利用机会时常观察进行思想工作。王老师的论文“网络神经”提出很具有挑战性的议题。在我们的书籍中对于这一议题及其应用是非常罕见的。在中国很少有人研究过这个话题,因此该材料选择是有限的。王同学不仅迎接这项挑战,同时在实践中超越其职责分析出了来源和测试精度。
他的学习能力与工作能力非常让我自豪。王同学是很聪明和勤奋的学生。我知道,如果有机会出国留学,他梦想着在美国成为伟大的程序员。他会抓住一切机会实现这一梦想,同时有智慧和能力实现这一梦想。希望你能接受王XX同学的申请并给予他机会!
手机,通讯时代的代言词,潮流的代养人,现如今,全国约有2.4亿人在使用手机,这看起来似乎很帅。但是,孰不知任何事物都有两面性,手机亦是如此,他也有利弊两面。
现如今,手机已成为人们生活中的一样必不可少的一样工具。一提出这个观点,很多人会无视他,也有人会反驳说,手机的好处很多,它可以方便人们的联系,有利于人们的生活,还有很多功能可以帮助人们生活,这是不假但是,现象过他的危害吗。吸烟的危害,相信已经无人不知无人不晓,但如果有人跟你说,每年因为手机而死亡的人数,比因为香烟而死亡的人数还要多时,你是否会大吃一惊?!
有英国一名癌症研究专家发出了迄今为止最严重的手机警告:因使用手机致死的人数将超过吸烟受害者!
有统计显示,全世界手机用户已达吸烟人数的3倍。因此,专家认为,手机的危害将比香烟更严重。目前全球每年有500万人因吸烟导致的疾病死亡。
1977年,记者劳德首次发表提出使用手机可能会对大脑产生不良影响。由于当时使用手机的人很少,这篇文章没有引起人们的普遍关注。1985年,美国科学家林恩推测,长期用手机可能会诱发脑瘤。他还建议,尽量只用手机接电话,而不要往外拨打。所以说手机不尽危害自己还危害家人。而且,现在有的学生上课玩手机,用手机做题。令成绩一落千丈。我不能阻止别人买,但这还不能说明问题吗。
在这,我要告诉大家,任何事都有两面性,换一个角度思考会更好。
From: ****
Department of the SPECIAL CLASS GIFTED for YOUTHS
University of Science and Technology
Hefei, Anhui 230026, P.R. China
July 1, 1998
Dear Sir or Madam:
I take great pleasure in recommending Wang Yong, one of my favorite students, for admission into your distinguished graduate program.
Mr. Wang was admitted in 1986 at 14 years of age into the SPECIAL CLASS for the GIFTED YOUTHS, my university's unique program that caters to the intellectual needs of unusually talented Chinese youngsters. It was a rare privilege he earned with his nearly impeccable academic performance through the years of his elementary and secondary school.
He impressed me almost as he entered into my university, a major cradle of china's scientific and technological talents. At the time, members of the Gifted Class all had to spend half a month studying by themselves the principles of calculus and then take an exam so that we could evaluate their self-study capability. Mr. Wang scored the highest grade in that exam. He also exhibited a keenly whetted mind during class discussions. To my regret at the time, his English was not as good as his mathematics or physics.(缺点介绍,公正真实 But I noticed he made a point of working especially hard in improving his English during his five undergraduate years with us. By now, he seems to be at least as proficient in English as most of his former classmates in the Gifted Class.
In my experience with Mr. Wang, I was impressed with not only his extraordinary intelligence but also his ambitions and persistence. I am sure that Mr. Wang will be an outstanding student in any doctoral program that he may care to enroll in. So I would like to support him firmly in his quest recommendation into account when considering his application. I would greatly appreciate it you decide to accept him as he wishes.
Yours sincerely
****
Professor and Deputy Head
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