TOEPLITZ-TYPE OPERATORS ON LEBESGUE SPACES

Let L be the infinitesimal generator of an analytic semigroup on L 2 (Rn)with Gaussian kernel bounds,and L-α/ 2 be the fractional integrals generated by L for 0< α     

Stability analysis and control synthesis of uncertain Roesser-type discrete-time two-dimensional systems

We study the stability analysis and control synthesis of uncertain discrete-time two-dimensional(2D) systems.The mathematical model of the discrete-time 2D system is established upon the well-known Roesser model,and the uncertainty phenomenon,which appears typically in practical environments,is modeled by a convex bounded(polytope type) uncertain domain.The stability analysis and control synthesis of uncertain discrete-time 2D systems are then developed by applying the Lyapunov stability theory.In the processes of stability analysis and control synthesis,the obtained stability/stabilzaition conditions become less conservative by applying some novel relaxed techniques.Moreover,the obtained results are formulated in the form of linear matrix inequalities,which can be easily solved via standard numerical software.Finally,numerical examples are given to demonstrate the effectiveness of the obtained results.     

混沌参数调制下RSA数据加密算法研究

随着网络信息通讯技术的发展,信息数据的通讯安全成为信息化网络信息数据通讯过程中的重要问题。面对大量侵入程序与数据漏洞的威胁,一套强有效的数据加密算法成为数据研究领域的研究方向。RSA数据加密算法作为如今常用的安全性最高的算法,在大数据动态数据节点混沌排列的条件下,无法有效保证数据的加密安全。混沌参数下,出现加密逻辑断裂、溢出、数列逆排等严重的算法漏洞。对此,提出混沌参数调制下RSA数据加密算法研究,采用混沌参数特征处理单元、特征序列逻辑控制单元与混沌FIE-RSA算法,对传统RSA加密算法存在的问题进行针对性解决。通过仿真实验证明,提出的混沌参数调制下RSA数据加密算法研究中,采用的一系列方法具有加密处理响应速度快、处理运算时间短、加密安全度高、反破解性能强等特点。     

Enhancing visible-light photocatalytic activity of α-Bi2O3 via non-metal N and S doping

In recent years, some important research indicated that the visible-light activity of photocatalysts could be enhanced via incorporating p-block non-metal elements into the lattice. In this paper, we investigated the electronic structures of pure and different non-metal （C, N, S, F, Cl, and Br） doped α-Bi2O3 using first-principles calculations based on the density functional theory. The band structures, the electronic densities of states, and the effective masses of electrons and holes for doped α-Bi2O3 were obtained and analyzed. The N and S dopings narrowed the band gap and reduced the effective mass of the carriers, which are beneficial for the photocatalytic performance. The theoretical predication was further confirmed by the experimental results.     

含三角函数的函数值域

孟建业(1945—),男,北京市人,河北省特级教师含有三角函数的复合函数值域,在各类试题中经常出现,这类题常涉及代数中函数与方程、几何中元素间的相关位置等内容.下面就若干常见题型加以归纳.1　直线型形如ｆ(ｘ)=ａｓｉｎｘ ｂ的函数,我们可以将它看作是定义在[-1,1]上的?..     

分母为平方因子的二项式系数倒数级数

根据一个已知级数,利用反正弦积分与多对数的结果,用积分-裂项法给出分母为1个平方因子,平方因子与1个,2个,3个奇因子乘积的二项式系数倒数级数.利用反三角函数与反双曲函数关系给出分母为平方因子的交错二项式系数倒数级数.所给出二项式系数倒数级数的和式是函数形式.并给出分母含有平方因子的二项式系数倒数数值级数恒等式.     

消失广义加权Morrey空间上的分数次积分算子(英文)

本文主要研究了带粗糙核的分数次积分算子及其与BMO函数生成的交换子在消失广义加权Morrey空间上的有界性.     

碘冉酸阴离子桥联双核铜（Ⅱ）配合物的合成与磁性

碘冉酸阴离子桥联双核铜（Ⅱ）配合物的合成与磁性孟祥军寇会忠邹国彰廖代正姜宗慧＊王耕霖（南开大学化学系天津３０００７１）关键词碘冉酸，Ｃｕ（Ⅱ），双核配合物，合成，磁性１９９６－０８－２０收稿，１９９６－１１－１８修回国家自然科学基金资助项目随着生物无...     

河北省有机化学及有机化学实验教学研讨会

河北省有机化学及有机化学实验教学研讨会由河北省化学会召开.出席会议的还有山西、内蒙、辽宁等省区的代表,共47人.中国化学会常务理事、北京大学化学系张滂教授在会上作了“不对称合成”的专题报告,受到热烈欢迎.与会代表普遍反映会开的好,收获大.他们觉得这次会有以下三个特点.     

D315树脂吸附脱除SO^2—4研究

本文研究了用Ｄ３１５树脂吸附脱除蚕蛹复合氨基酸水解液中ＳＯ＾２－４的方法。试验结果表明：Ｄ３１５树脂对ＳＯ＾２－４的静态交换容量为１０ｍｇ／ｍｌ树脂，吸附平衡时间４０分钟，ｐＨ４．５０。被吸附的ＳＯ６２－４可用６．６ＢＶ，１ｍｏｌ／ｌ的氨水以１．５ＢＶ／ｈｒ的流速完全洗脱。