【研究發展處訊】
發表期刊論文名單如下:
Ø 理學院數學系 簡茂丁名譽教授
Ø 理學院數學系 簡茂丁名譽教授
Ø 理學院數學系 簡茂丁名譽教授
Ø 理學院化學系江建緯副教授
Ø 理學院數學系 簡茂丁名譽教授
論文名稱:Davis-Wielandt shells of 4 by 4 matrices
作 者:Chien, Mao-Ting、Nakazato, Hiroshi
期刊名稱:LINEAR ALGEBRA AND ITS APPLICATIONS(SCI)
卷期數:723
頁碼(文獻號碼) :182-200
出版時間:2025.10.15
摘要:
In this paper, we study possible degrees of the boundary generating surfaces of the Davis-Wielandt shells of 4-by-4 upper triangular unitarily irreducible matrices. The degree can be any even number between 6 and 36 except 14,26 and 30.
Ø 理學院數學系 簡茂丁名譽教授
論文名稱:A Note on the Joint Numerical Range of a Triple of 4-by-4 Hermitian Matrices
作 者:Chien, Mao-Ting、Nakazato, Hiroshi
期刊名稱:MATHEMATICS(SCI)
卷期數:13(24)
頁碼(文獻號碼):3977
出版時間:2025.12.13
摘要:
We present the degrees 14, 26 and 30 of the boundary generating surfaces of the joint numerical ranges for triples of 4-by-4 Hermitian matrices. This result completes the missing degrees from a previous study.
Ø 理學院數學系 簡茂丁名譽教授
論文名稱:Comparing the operator norms of symmetric matrices sharing the same numerical range.
作 者:Chien, Mao-Ting、Nakazato, Hiroshi
期刊名稱:LINEAR ALGEBRA AND ITS APPLICATIONS(SCI)
卷期數:732
頁碼(文獻號碼) :207-228
出版時間:2026.03.01
摘要:
The ternary form of an n times n matrix A is defined by F_A(t,x,y)=det(tI_n +x Re(A) +y Im(A)), where Re(A)=(A +A*)/2 and Im(A)=(A-A*)/(2i). If the algebraic curve F_A(t,x,y)=0 has no singular points, the Helton-vinnikov theorem asserts that there are 2^g non-unitarily similar symmetric matrices S satisfying F_A(t,x,y)=F_S(t,x,y), where g=(n-1)(n-2)/2. We compare the operator norms of the 2^g symmetric matrices that share the same numerical range of A.
Ø 理學院化學系 江建緯副教授
論文名稱:Photoelectrochemical Catalyzed Site-Selective Tryptophan β-Position Functionalization
作 者:Sun, Ci-Yang ; Chen, Yu-Yu ; Chen, Hung-Chi ; Li, Hung-Li ; Chiang, Chien-Wei
期刊名稱:JOURNAL OF THE AMERICAN CHEMICAL SOCIETY(SCI)
卷期數:147(42)
頁碼(文獻號碼) :38827-38837
出版時間:2025.10.22
摘要:
Site-specific bioconjugation methods offer exceptional uniformity in producing protein/peptide conjugates, thereby improving pharmacological properties. However, developing site-selective chemical modifications directly on natural amino acids, especially at the β-position, remains challenging. Here, we present a novel photoelectrochemical strategy for site-selective tryptophan β-position functionalization. Employing a 2,3-Dichloro-5,6-dicyano-p-benzoquinone (DDQ)/tert-Butyl nitrite (TBN) catalyst system under blue LED irradiation and electrochemical conditions, we achieved C(sp3)-H functionalization for activating the tryptophan β-position with nucleophiles. This resulted in a variety of conjugated peptides and proteins with outstanding selectivity. The in-situ generation of the C-centered Trp-skatolyl cation by this protocol allows its reaction with nucleophiles to produce diverse functionalized products. Offering mild, eco-friendly conditions and enhanced selectivity, this method emerges as a promising tool for peptide and protein modification in pharmaceutical applications.
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