转移下半连续函数的极大极小原理及其应用

本文引入了转移下半连续的概念并在转移下半连续的条件下推了ＫｙＦａｎ极大极小原理。应用这一结果，证明了截口定理，不动点定理和函数不等式组解的存在性定理。     

四则运算速算法简介

速算法，就是灵活运用数学运算的特性、原理和规律，把各种要计算的较繁杂的数，合理改变其计算程序和方法，使之简化，以便迅速计算出结果（得数）的方法。熟练地掌握各种速算法，就能提高计算速度的技巧，从而提高工作和学习效率，对加快社会主义现代化建设有重大意义和作用。     

纳米晶软磁合金中的结构对技术磁性的影响——Ⅱ.磁弹耦合作用

对磁弹耦合在决定纳米晶软磁合金宏观磁性中的作用进行了探讨,高场磁化规律以及正电子湮没测量表明:对Fe_73.5Cu₁Nb₃Si_13.5B₉合金,准位错偶极子造成的应力场对畴壁的钉扎效应是造成纳米晶软磁合金矫顽力的重要原因;结构缺陷造成的应力场与磁致伸缩的耦合作用对纳米晶软磁性能有重要的影响.在结构各向异性和磁弹耦合能共同作用下可解释纳米晶合金表现出最佳软磁性能.     

Theoretical Design of High-spin Organic Molecules with —^＊N—S— as a Spin-containing Fragment and Heterocycle as End Groups

IntroductionDesigns and syntheses of organic molecules withvery high-spin ground states have been a topic of greatinterest[1—8].One of the rational approaches to desig-ning high-spin molecules,which has been proposedand studied by several groups[9,10],in…     

随机环境中双移民生灭过程的极限性质

引入了随机环境中双移民生灭过程的概念，定义了过程的模态指示函数，在此基础上研究了其转移矩阵的平稳分布，给出了平稳分布众数的位置与模态指示函数之间的关系．研究了平稳分布的众数与边界关系．     

Sansalvamide A固相合成新方法

报道了Pd催化丁基二乙基硅烷树脂与N-Boc-4-溴代苯丙氨酸甲酯直接反应形成Si—Ar键一步构建出硅基连接分子的新方法, 并采用Boc策略增长肽链, 以PyBOP (benzotriazole-1-yl-oxy-tris-pyrrolidino-phosphonium hexafluoro- phosphate)为环合剂固相合成了sansalvamide A.     

Exact Solution of an Extended Hubbard Model with Electron—Lattice Interaction for an Organic Ferromagnetic Polymer

Using an exact diagonalization method,we study an extended Hubbard model with an electron-lattice interaction for an organic ferromagnetic chain with radical coupling.The result shows that the ferromagnetic ground state originates from the antiferromagnetic correlation between adjoining sites,which is enhanced by the on-site e-e repulsion.The intersite e-e repulsion induces the inhomogeneous distribution of the charge density.The dimerization is decreased by the e-e interaction and the radical coupling.The electron-lattice interaction and the radical coupling can transfer the spin density and charge density between the main chain and the radicals.     

Hydrogenation Properties of Zr Films Under Various Conditions of Hydrogen Plasma

The hydrogenation properties of Zr samples with and without an Ni overlayer under various plasma conditions were investigated by means of non-Rutherford backscattering and elastic recoil detection analysis.The theoretical maximum hydrogen capacity,66.7 at%,could be achieved at a hydrogen absolute pressure of-2Pa and a substrate temperature of-393K for a plasma irradiation of only 10min;this was significantly greater than that for gas hydrogenation under the same hydrogen pressure and substrate temperature.It was also found that the C and O contamination on the sample surface strongly influences the hydrogenation,and that the maximum equilibrium hydrogen content drops dramatically with the increasing total contamination.In addition,the influence of the Ni overlayer on the plasma hydrogenation is discussed.