Diastereoselective Ni(0)-catalyzed carbocyclization to chiral vinylic sulfoxide

Diastereoselective Ni(0)-catalyzed carbocyclization of enone to chiral vinylic sulfoxide has been accomplished, wherein two stereogenic centers were constructed simultaneously to give cis- and trans-disubstituted cyclopentanes from (E)- and (Z)-vinylic sulfoxides, respectively.     

Pd-catalyzed sulfinylzincation of activated alkynes with 1-alkynyl sulfoxides as a sulfinyl source

Unprecedented Pd-catalyzed sulfinylzincation with 1-alkynyl sulfoxide as a sulfinyl source was developed. Bis-sulfinyl alkenes were formed in good yields on treatment of 1-alkynyl sulfoxides with Et(2)Zn in the presence of a Pd-catalyst, wherein zinc sulfenate (or sulfinylzinc) species would be generated in situ to undergo highly syn-selective conjugate addition to the 1-alkynyl sulfoxides. By using 3,3-dimethyl-1-butynyl sulfoxides, formation of the bis-sulfinyl alkenes was completely suppressed and the sulfinylzincation of activated alkynes was accomplished. The reaction tolerates various functionalities, and was promoted considerably by the neighboring group participation of the heteroatom at the delta-position in the alkynoates. Stereodivergent synthesis of two diastereomeric vinylic sulfoxides and reaction of the resulting vinylzinc species with electrophiles were also described.     

Newton's formula for

This paper presents an explicit relation between the two sets which are well-known generators of the center of the universal enveloping algebra of the Lie algebra : one by Capelli (1890) and the other by Gelfand (1950). Our formula is motivated to give an exact analogy for the classical Newton's formula connecting the elementary symmetric functions and the power sum symmetric functions. The formula itself can be deduced from a more general result on Yangians obtained by Nazarov. Our proof is elementary and has an advantage in its direct accessibility.

     

Desymmetrization of 1,4-cyclohexadienyltriisopropoxysilane using copper catalysis

The first catalytic desymmetrization in the field of allylsilane chemistry is presented. Desymmetrization of cyclohexadienyltriisopropoxysilane is achieved using coppper catalysis. High diastereo- and enantioselectivities are obtained, and the product dienes are highly valuable building blocks for natural product synthesis.     

基于次序统计滤波器的阶跃边缘检测

在二值图像的边缘检测理论中,经典的方法是用固定的卷积核构成边缘检测算子,如Sobel算子,Prewitt算子,Kirsch算子和Roberts算子等。它们对数字图像边缘的复杂几何结构缺乏算法自适应性。现作者将随机滤波的思想引入边缘检测,用次序统计滤波器构造随机卷积核,从而引入一种新的随边缘检测算子,将OSF边缘算子,并分别对雷达图像和文本图像实施边缘检测。实验结果证明了OSF边缘算子的有效性。     

Measurement System for Very Small Photoelastic Constant of Polymer Films

We produced a new system for measuring the small photoelastic constant of a polymer thin film with a small birefringence. Using our mesurement system, we evaluated the photoelastic constant of a polymer film in real time by quantitative analysis. Photoelastic constants of 11.30 × 10⁻¹² Pa⁻¹ for a cellulose triacetate film and 78.38 × 10⁻¹² Pa⁻¹ for a polycarbonate film were obtained. Furthermore, we obtained a small photoelastic constant of 0.12 × 10⁻¹² Pa⁻¹ for a cycloolefin film for liquid crystal displays, using our new measurement system. This value is very small. We emphasize that, if a small change in retardation and stress cannot be detected simultaneously using our system, then we cannot obtain such a small photoelastic constant.