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鄭斯恩 Szu-En Cheng
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Assistant Professor |
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| Phone |
(07)5919527 |
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| Fax |
(07)591344 |
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| E-Mail |
chengszu@nuk.edu.tw |
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| Homepage |
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| Office |
Room 426, College of Science |
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| | Education |
美國密西根州立大學數學博士
國立政治大學數學碩士
國立政治大學數學系學士 |
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| Employmen |
奧地利維也納工業大學金融及保險數學系博士 後研究
國立高雄大學應用數學系教授 |
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| Research fields |
代數組合學、編碼學、設計理論、圖論 |
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| Research introduction |
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| Journal papers |
- Szu-En Cheng and Ko-Wei Lih, 2001, “An improvement on
a Spernerity proof of Horrocks”, Theoretical Computer
Science, 263, no. 1-2, 355–377. (SCI)
- Szu-En Cheng, 1995, “Matrix Constructions
of Family (A) Group Divisible Designs”, Australasian Journal
of Combinatorics, 11, 223-231.
- Szu-En Cheng, Sen-Peng Eu, and Tung-Shan
Fu, (2007), “Area of Catalan Paths on a Checkerboard”,
European Journal of Combinatorics, 28, no. 4, 1331–1344.
(SCI)
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| Conference papers |
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- Szu-En Cheng, Sen-Peng Eu, and Tung-Shan Fu, “Area of Catalan
Paths on a Checkerboard”, 18th International Conference on Formal
Power Series & Algebraic Combinatorics (FPSAC '06), San
Diego, California, USA, June 19–23, 2006.
- A Factorization for Multivariate Formal Power Series and its
Applications.（第一屆南區組合及圖論單日研討會, 2005.05.28）
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| Monograph |
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| Other publications |
- Szu-En Cheng, “Congruence Properties of the Generalized
Witt Formula”, (in preparation).
- Szu-En Cheng, W. Brockman and B. Sagan, “The k-consecutive
arrangements”, (in preparation).
- Szu-En Cheng, “Classification of GDDs of the Form ”,
(in preparation).
- Szu-En Cheng, 2003, “Congruences via Formal Power Series”,
(Submitted).
- Szu-En Cheng, “Linear Recurrence Relations and Periodic
Points”, (Revised).
- Szu-En Cheng, 2003, May, “Generating Function Proofs
of Identities and Congruences.” PhD Thesis, Michigan State
University.
- Szu-En Cheng, 1993, “Some Matrix Constructions of Group
Divisible Designs” Master's thesis, National ChengChi
University.
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Projects |
| 計畫名稱 |
執行期限 |
經費（元） |
補助單位 |
| 組合學與特殊函數的研究 |
96.08.01-97.07.31 |
448,000 |
國科會 |
| 對稱函數的研究 |
93.08.01-94.07.31 |
231,000 |
國科會 |
| 形式冪級數的研究 |
92.10.01-93.07.31 |
226,800 |
國科會 |
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Talks |
- Symmetric polynomials and Lucas Triangle (Tetrahedron). （國立台東大學數學系邀請演講，2006.10.23）
- A Factorization for Multivariate Formal Power Series and its
Applications.（國立交通大學應用數學系邀請演講，2005.04.18）
- Congruences via Formal Power Series.（國立中山大學應用數學系邀請演講, 2003.10.30）
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| PH.D. students |
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| Master students |
| 碩士班 |
入學年度 |
姓名 |
論文題目 |
98 |
裴家偉 |
循環群作用下的不相交劃分
Cyclic Group Actions on Non-crossing Partitions
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