Chiral pyrrolidine-azole conjugates: Simple and efficient asymmetric organocatalysts for Michael addition to nitrostyrenes

Simple pyrrolidine-azole conjugates have been synthesized and found to be efficient catalysts for asymmetric Michael addition to nitrostyrenes. The identified optimal catalysts, pyrrolidine-azoles 2, 8 and 13, could catalyze the asymmetric Michael addition of a range of Michael donors and nitrostyrenes in high yields (up to 99%) and excellent stereoselectivities (up to 99:1 dr and 97% ee).     

一种加法交换律和结合律的验证方法

依据"数位对齐、逢十进一"的运算法则,结合十进制加法表,给出了验证加法交换律与结合律的一种方法。     

Consecutive tracking for ballistic missile based on bearings-only during boost phase

This paper proposes a modified centralized shifted Rayleigh filter(MCSRF) algorithm for tracking boost phase of ballistic missile(BM) trajectory with a highly nonlinear dynamical model based on bearings-only.This paper contributes three folds.Firstly,the mathematical model of an MCSRF for multiple passive sensors is derived.Then,minimum entropy based onedimensional optimization search to adaptively adjust the probability of the different filters for real time state estimation is deployed.Finally,the unscented transform(UT) is introduced to resolve the asymmetric state estimation problem.Simulation results show that the proposed algorithm can consecutively track the BM precisely during the boost phase.In comparison with the unscented Kalman filter(UKF) algorithm,the proposed algorithm effectively reduces the tracking position and velocity root mean square(RMS) errors,which will make more sense for early precision interception.     

Abel加半群局部化及性质

本文将Abel加半群引入一种局部化方法,建立了局部化与张量积的关系,证明了平坦半群的局部化也平坦,并证明局部化函子是正合的共变函子且自然等价于一个单侧张量积函子.     

波纹管受非轴对称载荷作用时的非线性计算

基于小应变、中等转角的假设，用有限元法对波纹管的非轴对称几何非线性特性作了分析研究。采用三节点曲边壳元，位移、转角在总体坐标系下独立插值，并用牛顿迭代法进行非线性迭代，所有外载均按比例增加。由于在通常情况下，波纹管的角向、横向位移具有一个对称面，所以对位移和应力的周向展开采用了一种特殊的形式。     

Tl-Ba-Ca-Cu-O系超导体相结构和掺Mn影响的电镜研究

Tl-Ba-Ca-Cu-O系超导体多相同时存在,多至6相,均属四方晶系钙钛矿结构,其中(2223)(2212)相共生,其衍射谱给出c≈33A的假象.加Mn可以部分取代Tl,但增加Mn的含量将失去高温超导性.     

非对称振子波函数和能级方程的表示及其数值解

给出了非对称振子波函数和能级方程的具体表示,以及某些典型情况的能级数值和波函数的形状。对非对称振子的某些情况,其解的存在性曾是有争论的。本文由理论分析和数值计算证实:即使在这些情况下,其解也是存在的。解的具体表示和数值解可以由消发散方法和计算机求出。