Generalized Smash Products

In this paper．we study the ring #(D．B)and obtain two very interesting results. First we prove in Theorem 3 that the category of rational left BU-modules is equivalent to both the category of #-rational left modules and the category of all(B．D)-Hopf modules BM^D．Cai and Chen have proved this result in the case B=D=A．Secondly they have proved that if A has a nonzero left integral then A#A^*rat is a dense subring of Endk(A)．We prove that #(A,A) is a dense subring of Endk(Q),where Q is a certain subspace of #(A．A)under the condition that the antipode is bijective(see Theorem18).This condition is weaker than the condition that A has a nonzero integral.It is well known the antipode is bijective in case A has a nonzero integral．Furthermore if A has nonzero left integral,Q can be chosen to be A(see Corollary 19)and #(A,A)is both left and right primitive.Thus A#A^*rat #(A,A)-Endk(A)．Moreover we prove that the left singular ideal of the ring #(A,A)is zero．A corollary of this is a criterion for A with nonzero left integral to be finite-dimensional,namely the ring #(A,A)has a finite uniform dimension．     

抛体运动的讨论

抛体运动分平抛运动和斜抛运动．1平抛运动抛出的物体的初速度是水平方向的抛体运动叫做平抛运动．平抛运动在忽略空气阻力时,可以把它看作是水平方向的匀速直线运动和竖直方向的自由落体运动的叠加．在竖直平面内取直角坐标系如图1,并把物体被抛出的那一点作为坐标的原点O,设水平初速度为v_0．     

斜波导喇曼振荡器

 采用斜波导的喇曼氢气池, 使泵浦激光束在波导内部传播, 增大了受激喇曼散射的作用区域。在传播过程中光束截面逐渐被压缩, 补偿因波导内壁的反射损耗而引起的功率密度下降。在一定气压范围内提高了喇曼转换的效率, 并利用波导对激光束的均匀作用, 使输出的一阶斯托克斯光光强的均匀性获得改善。     

关于斜抛运动的分析

对斜抛运动的方程进行了较详细的分析，从而得到了关于斜抛物体的若干运动特性。     

斜光束对校正滤色器校正精度的影响

当用测色仪器按照国际照明委员会规定的条件测量物体颜色时 ,若样品与探测器之间的距离不够大 ,则斜光束会透过校正滤色器而被探测器接收 ,这时对应探测器某点校正滤色器的当量透射比可以用修正计算式求得。以“Y”校正滤色器为例 ,从计算结果和实验说明了斜光束对校正滤色器透射比的影响。     

基于数值计算的斜流泵级性能改进

采用CFD数值模拟的方法对斜流泵级内部三维紊流流场进行计算,预测了其效率-流量、扬程-流量特性,并与实验结果进行了对比验证。根据得到的流场结果,通过斜流泵级水力尺寸改进-数值模拟分析的循环工作,在最终改进的斜流泵级预测流场中减少了泵内流场的漩涡运动,避免了出口回流的产生,削弱了叶顶间隙泄漏涡,提高了斜流泵级的效率,改进了能量特性,得到了斜流泵级改进前后流场与效率的对比。     

三层流体中斜入射波作用下半无限板的水弹性响应

解析地研究了在三层流体中斜入射波浪与半无限弹性板的相互作用引起的波散射和板的水弹性响应. 三层流体在界面处的密度发生阶跃, 各层为一常数. 假设流体不可压缩、无黏、流体运动无旋. 在线性势流理论框架下, 使用本征函数展开法和内积式给出波板相互作用的半解析解. 根据色散关系分析, 得到了表面波模态和界面波模态入射时的临界入射角. 随着物理参数的变化, 临界角将随之发生变化. 临界角决定了当由开阔水域向板覆盖水域传播的表面波或界面波的存在性: (1)板覆盖水域入射界面上, 透射波能否存在; (2)入射界面之上界面中, 板覆盖水域中的透射波以及开阔水域中的反射波能否存在. 当下界面波入射时并且入射角足够大时, 开阔水域中的下界面波模态是整个流体域中唯一存在的模态.      

Syntheses, Crystal Structures and Properties of Two Supramolecules Assembled from Weak Interactions

Two complexes, [Cu2(Htdb)4(H2O)2] (1) and [Cd(bipy)2(Hmcmbc)2] (2) (H2tdb = 2,2-thiodibenzoic acid, H2mcmbc = m-(carboxyl-methyloxy)-benzenecarboxylic acid, bipy = 4,4'-bipyridine), have been prepared, and were characterized by elemental analysis, FT-IR and single-crystal X-ray diffraction. Structures indicate that complex 1 is a single molecule, and 2 is a one-dimensional chain. Their two-and three-dimensional frameworks are constructed through hydrogen bonding, π…π or C–H…π stacking, and such other weak interactions. The cyclic voltametric behavior of complex 1 and luminescence property of complex 2 were investigated. 1 belongs to the triclinic system, space group P with a = 7.8607(6), b = 11.7619(9), c = 15.3481(12) , α = 109.3670(10), β = 92.4420(10), γ = 92.0450(10)°, V = 1335.65(18) 3, Mr = 1256.26, Dc = 1.5619(2) g/cm3, F(000) = 642, μ = 1.029 mm–1, Z = 1, the final R = 0.0289 and wR = 0.0763 for 5199 observed reflections with I > 2σ(I). Complex 2 crystallizes in triclinic, space group P with a = 9.6378(10), b = 9.7508(10), c = 19.055(2) , α = 88.7020(10), β = 80.5260(10), γ = 69.2000(10)o, V = 1649.9(3) 3, Mr = 815.07, Dc = 1.641 g/cm3, μ = 0.732 mm-1, F(000) = 828, Z = 2, the final R = 0.0511 and wR = 0.1149 for 4729 observed reflections (I > 2σ(I)).     

钠改型天然斜发沸石对铵离子的交换性能

对分别来自国内三个产地和澳大利亚的沸石样品进行了铵离子交换性能的研究。在25℃下了样品的交换速率曲线。利用Verrmeulen's模型处理动力学数据，计算得到扩散系数，与文献报道的结果相一致，并发现不同样品的扩散系数与其致密程度相关。将粒度200mesh的沸石分别用三种不同方法聚集为颗粒，并测定了表观的扩散系数，均高于原颗粒的扩散系数，其中凝胶颗粒提高了一个数量级。