October 18， xxxx
To Whom It May Concern，
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 advisor and mentor. in my experience he is a gifted and diligent 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. wang and i have often talked about a variety of mathematics and computer science concepts and problems. during these discussions i always found him to be delightfully intelligent. not only does he quickly understand the concepts and problems presented to him he is able to analyze these problems and present solutions. but perhaps most important is that wang's thinking is intensely rigorous. when looking at any question he carefully scrutinizes it and if he finds any uncertain issues 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 ann and its uses are very rare. few people in china have studied this topic and consequently 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 above and beyond the call of duty to analyze his secondary sources and test them for accuracy in practice. in this way he found mistakes in the book that we use. his diligence and hard work made me extremely proud of him.
mr. wang is an intelligent motivated and industrious individual. teaching and advising him has been a delightful pleasure. i know that if given the chance to study abroad in america he will arm himself to become a great programmer he dreams of being. he has the intelligence and background to achieve these goals - now all he needs is the opportunity. i ask that you look upon his application favorably and grant him a chance to study in your university.
Yours faithfully，
XXXX
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