小区间上的三素数定理(Ⅲ)

本文将证明:对充分大的奇数N,下面的方程有解...     

“传球”问题可看作“种植”问题的一个应用

文[1]把“传球”问题推广到一般情况:m(m≥2,m∈N*)个人互相传球,甲先发球作为第一次传球,经过n(n≥2,m∈N*)次传球后,球仍回到甲手中,则不同的传球方法有多少种?并推得一般结论an=mm-1[(m-1)n-1-(-1)n-1].图1圆文[2]把“种植”问题推广到一般情况:如图1,一个圆形花坛分为n(n≥3,n∈N*)个扇形,种植m(m≥3,m∈N*)种不同颜色的花,要求相邻两部分种植不同颜色的花,有多少种不同的种植方法?也推得一般结论:an=(m-1)n (-1)n(m-1).文[1]的结论难记,随手整理一下:an=1m[(m-1)n (-1)n(m-1)].这是文[2]的结论的m分之一!这激起了我的好奇心!经过探索…     

OSCILLATION RESULTS FOR A SECOND ORDER NEUTRAL DELAY DIFFERENTIAL EQUATIONS

Some new oscillation criteria are established for a second order neutral delay differential equations. These results improve oscillation results of Y.V. Rogo-vchenko for the retarded delay differential equations. The relevance of our theorems is illustrated with two carefully selected examples.     

一类二阶椭圆型微分方程振动性的判定

利用积分平均和完全平方技巧，给出了一类二阶椭圆型微分方程所有解在R^n的一个外区域Ω上均振动的新的充分条件。     

理科(18)题别解

试题如图3,在直三棱柱ABC-A1B1C1中,底面是等腰直角三角形,∠ACB=90°,侧棱AA1=2,D、E分别是CC1与A1B的中点,点E在平面ABD上的射影是△ABD的重心G.     

Synthesis,X-Ray Structure and Characterization of a Triruthenium Cluster Complex Ru_3~Ⅲ(μ_3-O)(μ-CH_3COO)_6(py)_2Cl with Four Steps One-electron Redox Processes

Great attention is currently paid to the synthesis of polynuclear transition metal complexes as well as their photochemical, photophysical, and electrochemical properties. The design of multicomponent systems capable of performing useful light- and/or redox-induced function is of special interest1. The oxo-centered carboxylate-bridge trinuclear ruthenium clusters have been investigated extensively during recent decades because they have remarkable electron-transfer properties, intense visibl…     

新型稀土电子输运材料Tb(AcA)3·phen

Kido等人在文献[1]中报导,在研究有机电致发光(OEL)器件时发现,斓系化合物不能很好地传输载流子.但是,我们在实验中却现Tb(AcA)3phen·不仅是一种很好的OEL发射材料.而且具有很强的电子输运能力.     

A Novel Organic—Inorganic Complex：Synthesis and Crystal Structure of [Ca（DMSO）5（H2O）]2 SiMo12O40

It is becoming a focus to synthesize and assemble organic-inorganic materials, especially, to synthesize charge-transfer complexes formed by polyoxometalate and organic donors. They have attracted much attention because such complexes are active in their electric, magnetic and optic properties1-4, many investigations about them have been done and some crystal structures of them were reported5-6. But, the disadvantage of these crystals is instability at room temperature. According to the view…     

还原温度对超细K－Co－Mo催化剂合成低碳醇性能的影响

 用溶胶－凝胶法合成了K－Co－Mo催化剂．样品经不同温度还原后，用于低碳醇的合成．XRD和HRTEM结果表明，样品是超细粒子，粒子尺寸为2～5nm．考察了催化剂的还原温度和反应条件对催化剂性能的影响．实验结果表明，还原温度对催化剂的活性有较大的影响，最佳还原温度为500℃．最佳反应温度范围为310～330℃．升高压力和空速可以提高醇的收率和选择性．在空速14400h－1，压力6．0MPa和温度310℃的条件下，醇的选择性为55．8％，收率为520．0g／（kg·h），MeOH／C2＋OH为0．27．催化剂稳定性良好，在200h的寿命实验中，活性基本不变．与文献中催化剂相比，超细K－Co－Mo催化剂对合成醇具有较高的活性和选择性，尤其是对C2＋OH的合成明显高于其他合成醇催化剂体系．     

电极条件对硫酸介质中电解还原提纯镱过程的影响

研究了以钌铱钛合金网和汞分别为阳、阴电极, 在无气氛保护条件下, 采用电解还原方法从铥、镱、镥硫酸盐溶液中分离提纯镱的过程. 讨论了在8 V恒电压时的电极间距、位置, 以及阴、阳极表面积对电解过程中的电流、还原率影响. 优化了电解还原过程, YbSO4产品的纯度稳定达到99.5%以上, 一次收率可达80%;提镱后母液中的铥和镥被富集4倍以上, 其中Lu含量高于50%, 十分有利于后续铥/镥分离.