{"id":14169,"date":"2026-03-20T09:39:04","date_gmt":"2026-03-20T01:39:04","guid":{"rendered":"https:\/\/sprout.scu.edu.tw\/?p=14169"},"modified":"2026-03-20T09:39:44","modified_gmt":"2026-03-20T01:39:44","slug":"%e6%9d%b1%e5%90%b3%e5%a4%a7%e5%ad%b8%e6%95%99%e6%8e%88%e7%99%bc%e8%a1%a8%e6%9c%9f%e5%88%8a%e8%ab%96%e6%96%87-5","status":"publish","type":"post","link":"https:\/\/sprout.scu.edu.tw\/?p=14169","title":{"rendered":"\u6771\u5433\u5927\u5b78\u6559\u6388\u767c\u8868\u671f\u520a\u8ad6\u6587"},"content":{"rendered":"\t\t
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<\/p>

\u3010\u7814\u7a76\u767c\u5c55\u8655\u8a0a\u3011<\/p>

\u767c\u8868\u671f\u520a\u8ad6\u6587\u540d\u55ae\u5982\u4e0b\uff1a<\/p>

\u00d8 \u00a0 \u7406\u5b78\u9662\u6578\u5b78\u7cfb \u7c21\u8302\u4e01\u540d\u8b7d\u6559\u6388<\/p>

\u00d8 \u00a0 \u7406\u5b78\u9662\u6578\u5b78\u7cfb \u7c21\u8302\u4e01\u540d\u8b7d\u6559\u6388<\/p>

\u00d8 \u00a0 \u7406\u5b78\u9662\u6578\u5b78\u7cfb \u7c21\u8302\u4e01\u540d\u8b7d\u6559\u6388<\/p>

\u00d8 \u00a0 \u7406\u5b78\u9662\u5316\u5b78\u7cfb\u6c5f\u5efa\u7def\u526f\u6559\u6388<\/p>

\u00d8 \u00a0 \u7406\u5b78\u9662\u6578\u5b78\u7cfb \u7c21\u8302\u4e01\u540d\u8b7d\u6559\u6388<\/p>

\u8ad6\u6587\u540d\u7a31\uff1aDavis-Wielandt shells of 4 by 4 matrices<\/p>

\u4f5c\u00a0 \u00a0 \u8005\uff1aChien, Mao-Ting\u3001Nakazato, Hiroshi<\/p>

\u671f\u520a\u540d\u7a31\uff1aLINEAR ALGEBRA AND ITS APPLICATIONS\uff08SCI\uff09<\/p>

\u5377\u671f\u6578\uff1a723<\/p>

\u9801\u78bc(\u6587\u737b\u865f\u78bc) \uff1a182-200<\/p>

\u51fa\u7248\u6642\u9593\uff1a2025.10.15<\/p>

\u6458\u8981\uff1a<\/p>

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.<\/p>

\u00d8 \u00a0 \u7406\u5b78\u9662\u6578\u5b78\u7cfb \u7c21\u8302\u4e01\u540d\u8b7d\u6559\u6388<\/p>

\u8ad6\u6587\u540d\u7a31\uff1aA Note on the Joint Numerical Range of a Triple of 4-by-4 Hermitian Matrices<\/p>

\u4f5c\u00a0 \u00a0 \u8005\uff1aChien, Mao-Ting\u3001Nakazato, Hiroshi<\/p>

\u671f\u520a\u540d\u7a31\uff1aMATHEMATICS\uff08SCI\uff09<\/p>

\u5377\u671f\u6578\uff1a13(24)<\/p>

\u9801\u78bc(\u6587\u737b\u865f\u78bc)\uff1a3977<\/p>

\u51fa\u7248\u6642\u9593\uff1a2025.12.13<\/p>

\u6458\u8981\uff1a<\/p>

We present the degrees 14, 26 and 30 of the\u00a0 boundary generating surfaces of the joint numerical ranges for triples of 4-by-4\u00a0 Hermitian matrices. This result completes the missing degrees from a previous study.<\/p>

\u00a0<\/p>

\u00d8 \u00a0 \u7406\u5b78\u9662\u6578\u5b78\u7cfb \u7c21\u8302\u4e01\u540d\u8b7d\u6559\u6388<\/p>

\u8ad6\u6587\u540d\u7a31\uff1aComparing the operator norms of symmetric matrices sharing the same numerical range.<\/p>

\u4f5c\u00a0 \u00a0 \u8005\uff1aChien, Mao-Ting\u3001Nakazato, Hiroshi<\/p>

\u671f\u520a\u540d\u7a31\uff1aLINEAR ALGEBRA AND ITS APPLICATIONS\uff08SCI\uff09<\/p>

\u5377\u671f\u6578\uff1a732<\/p>

\u9801\u78bc(\u6587\u737b\u865f\u78bc) \uff1a207-228<\/p>

\u51fa\u7248\u6642\u9593\uff1a2026.03.01<\/p>

\u6458\u8981\uff1a<\/p>

The ternary form of an n times n matrix A is defined by\u00a0 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).\u00a0 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.\u00a0 We compare\u00a0 the operator norms of the 2^g symmetric matrices that share the same numerical range of A.<\/p>

\u00d8 \u00a0 \u7406\u5b78\u9662\u5316\u5b78\u7cfb \u6c5f\u5efa\u7def\u526f\u6559\u6388<\/p>

\u8ad6\u6587\u540d\u7a31\uff1aPhotoelectrochemical Catalyzed Site-Selective Tryptophan \u03b2-Position Functionalization<\/p>

\u4f5c\u00a0 \u00a0 \u8005\uff1aSun, Ci-Yang ; Chen, Yu-Yu ; Chen, Hung-Chi ; Li, Hung-Li ; Chiang, Chien-Wei<\/p>

\u671f\u520a\u540d\u7a31\uff1aJOURNAL OF THE AMERICAN CHEMICAL SOCIETY\uff08SCI\uff09<\/p>

\u5377\u671f\u6578\uff1a147(42)<\/p>

\u9801\u78bc(\u6587\u737b\u865f\u78bc) \uff1a38827-38837<\/p>

\u51fa\u7248\u6642\u9593\uff1a2025.10.22<\/p>

\u6458\u8981\uff1a<\/p>

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 \u03b2-position, remains challenging. Here, we present a novel photoelectrochemical strategy for site-selective tryptophan \u03b2-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 \u03b2-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.<\/p>

\u7814\u7a76\u4e8b\u52d9\u7d44\u63d0\u9192\uff1a\u6559\u5e2b\u5982\u6709\u6700\u65b0\u767c\u8868\u65bcAHCI\u3001SSCI\u3001SCI\u3001TSSCI\u3001THCI\u3001\u300c\u6771\u5433\u5927\u5b78\u5916\u8a9e\u5b78\u9580\u734e\u52f5\u540d\u55ae\u300d\u4e4b\u671f\u520a\u8ad6\u6587\uff0c\u6b61\u8fce\u96a8\u6642\u81f3GOOGLE\u8868\u55ae\u586b\u5beb(\u7db2\u5740\u70bahttps:\/\/forms.gle\/e6U4dL7pRNfgXnsHA)\u76f8\u95dc\u8cc7\u8a0a\uff0c\u7814\u7a76\u767c\u5c55\u8655\u5c07\u6703\u516c\u544a\u65bc\u6821\u5712\u982d\u689d\u53ca\u7814\u7a76\u767c\u5c55\u8655\u9996\u9801\uff0c\u4ee5\u5ee3\u4ea4\u6d41\u3002<\/p>

\u3010\u6587\u5716\/\u7814\u7a76\u4e8b\u52d9\u7d44\u6797\u6d3a\u7020\u7d44\u54e1\u3011<\/p>

<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t

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\u3010\u7814\u7a76\u767c\u5c55\u8655\u8a0a\u3011 \u767c\u8868\u671f\u520a\u8ad6\u6587\u540d\u55ae\u5982\u4e0b\uff1a \u00d8 \u00a0 \u7406\u5b78\u9662\u6578\u5b78\u7cfb \u7c21\u8302\u4e01\u540d\u8b7d\u6559\u6388 \u00d8 \u00a0 \u7406\u5b78\u9662\u6578\u5b78\u7cfb \u7c21\u8302\u4e01\u540d 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