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1.  正相伴序列的矩完全收敛性  
   傅可昂《云南大学学报(自然科学版)》,2011年第33卷第1期
    设{ Xn;n≥1}是一均值为0、方差有限的正相伴平稳序列.记Sn= Xk,Mn= |Sk|,n≥1.证明了在一定条件下,由E|X1|p(|X1|(1/α))<∞可推出对任意的ε>0,有 n-2-αh(n)E{Mn-εn(1/p)}+<∞,其中h(n)为一在无穷处的缓变函数,{x}+=max{x,0}.    

2.  应用GPS-X软件模拟CAST污水处理厂及优化化学除磷  被引次数:1
   汪林  张代钧  艾海男  卢培利  张天  王维忠《环境工程学报》,2010年第4卷第7期
   利用GPS-X软件模拟某污水处理厂循环式活性污泥法(CAST)工艺的处理效果,同时对其化学除磷过程提出改进措施。结合实测进水COD组分(SS, XS and SA),对ASM2模型参数(μhKskhKx)进行了校核,参数优化结果为:μh=4.36 d-1,Ks=1.6 g COD/m3kh=2.01 d-1Kx=0.01 g COD/m3。经模型组分和参数校正后出水COD、NH+4-N以及TN的模拟结果与实测值的误差小于10%。根据进水TP浓度和流量变化,实时灵活地调整化学药品投加量,模拟结果显示可以节约50%左右的消耗量。    

3.  关于环Fpm+uFpm+u2Fpm上循环码的注记  
   刘修生《数学杂志》,2016年第36卷第5期
   本文研究了环Fpm+uFpm+u2Fpm上长度为ps的循环码分类.通过建立环Fpm+uFpm+u2Fpm到环Fpm+uFpm的同态,给出了环Fpm+uFpm+u2Fpm上长度为ps的循环码的新分类方法.应用这种方法,得到了环Fpm+uFpm+u2Fpm长度为ps的循环码的码词数.    

4.  On Cramer Approximations under Violation of Cramer's Condition  
   A. K. Aleskeviciene《Lithuanian Mathematical Journal》,2005年第45卷第4期
   Let X 1, X 2,... be independent identically distributed random variables with distribution function F, S 0 = 0, S n = X 1 + ⋯ + X n , and n = max1⩽kn S k . We obtain large-deviation theorems for S n and n under the condition 1 − F(x) = P{X 1x} = el(x), l(x) = x α L(x), α ∈ (0, 1), where L(x) is a slowly varying function as x → ∞. __________ Translated from Lietuvos Matematikos Rinkinys, Vol. 45, No. 4, pp. 447–456, October–December, 2005.    

5.  一种二帽pseudo-Keggin结构簇合物[HN(C2H5)3]3[N(C2H5)3]2[Mo8Mo4V2O38(PO4)]的水热合成、结构和性质研究  
   崔小兵  林之恩  杨国昱《无机化学学报》,2003年第19卷第1期
   The novel polyoxometalate, [HN(C2H5)3]3[N(C2H5)3]2[Mo8Mo4V2O38(PO4)], was synthesized and characterized by elementary analysis, EPR, IR spectra and X-ray diffraction. The compound crystallizes in triclinic system, space group P1 with a= 1.41999(2)nm, b=1.43467(2)nm, c=1.694610(10)nm, α=95.7250(10)°, β=92.2110(10)°, γ=92.6060(10)°, V=3.42829(7)nm3Z=2, Dc=2.388g·cm-3Mr=2465.10g·mol-1, μ=2.489mm-1F(000)=2388, R1=0.0584, wR2=0.1461, S=1.164. The het-eropolyanion is a bi-capped pseudo-Keggin complex. CCDC: 186645.    

6.  两类二元函数芽的一个共同性质及其应用  
   熊宗洪  石昌梅  甘文良《数学杂志》,2017年第37卷第5期
   本文主要研究二元C函数芽环中函数芽的性质问题.利用Mather有限决定性定理和C函数的右等价关系,获得了带有任意4次至k次齐次多项式pix,y),qix,y)(i=4,5,…,k)的两类函数芽f1=x2y+∑i=4kpix,y),f2=xy2+∑i=4kqix,y)(k ≥ 5)的一个共同性质:若Mk2M2Jfj)(j=1,2)且f1f2的轨道切空间的余维分布均为ci=1(i=4,5,…,k-1),则对这里的i,pix,y)中xyi-1yi的系数和qix,y)中xi-1yxi的系数均为零.最后,利用该性质,给出了f1f2和一类余维数为7的二元函数芽的标准形式.    

7.  Ag(Ⅰ)、Pd(Ⅱ)异核金属簇合物的制备和晶体结构研究  被引次数:2
   司徒粤  黄少斌  张居光《无机化学学报》,2003年第19卷第9期
   The complexes of [Ag2Pd2(μ-dppm)2(μ-S2CNC4H8)23-S2CNC4H8)2](SbF6)2·Et2O (1) and [AgPd(S2CN C4H8)(μ-dppm)2](SbF6)·H2O (2)were synthesized and their single crystal structures were determined by X-ray diffraction. The complex 1 is monoclinic system, space group P21/c with a=1.14370(3)nm, b=1.39025(4)nm, c=2.93579(8)nm, β=95.173(1)°, V=4.6490(2)nm3, Z=4, Dc=1.716g·cm-3, μ(Mo Kα)=1682cm-1, F(000)=2384, Mr=2401.98, R=0.0662, wR=0.1302. The complex 2 is monoclinic system, space group Cc with a=2.74136(6)nm, b=1.04317(2)nm, c=2.523990(10)nm, β=95.173(1)°, V=4.6490(2)nm3, Z=4, Dc=1.716g·cm-3, μ(Mo Kα)=1682cm-1, F(000)=2384, Mr=2401.98, R=0.0662, wR=0.1302. CCDC: 1, 213613; 2, 213612.    

8.  由2-甲基咪唑-4, 5-二羧酸构筑的双核平行六面体三维钙配位聚合物  
   聂旭亮  熊辉  涂勇刚  黄长干《无机化学学报》,2013年第29卷第18期
   合成了一个双核钙配合物{[Ca2(μ3-HMIA2-)(μ5-HMIA2-)(H2O)]·H2O}n(1, H3MIA=2-甲基咪唑-4, 5-二羧酸), 并用元素分析、红外光谱和X-射线单晶衍射等对其进行了表征。结构分析表明, 1属单斜晶系, P21/c空间群, 晶胞参数为a=0.860 67(11) nm, b=1.656 5(2) nm, c=1.269 24(16) nm, β=108.005 0(10)°, V=1.720 9(4) nm3, C12H10Ca2N4N10, Mr=450.40, Z=4, Dc=1.728 g·cm-3, F(000)=920, μ=0.727 mm-1, S=1.041, λ(Mo Kα)=0.071 073 nm, R=0.026 0 and wR=0.063 8。在1晶体结构中, 每个钙(Ⅱ)离子都是7配位的, 但展现2个不同的配位环境。4个μ3-HMIA2-配体, 2个μ5-HMIA2-配体和8个钙(Ⅱ)离子一个平行六面体结构[Ca8( μ3-HMIA)4 (μ5-HMIA)2]4+μ5-HMIA2-配体采用独特的配位模式并连接周围的平行六面结构形成一维链结构, 配体μ3-HMIA2-连接相邻的一维链形成一种新的蜂窝型的二维层状结构, 相邻的二维层通过μ3-HMIA2-配体的2个氧原子进一步形一个三维结构。还研究了配合物1的热重分析和抑菌活性。    

9.  过渡金属配合物为模板合成两个新的硫代锡酸盐(英)  
   付明来  郭国聪  刘冰  吴阿清  黄锦顺《无机化学学报》,2005年第21卷第1期
   利用溶剂热方法在温和的条件下合成了二个新的硫代锡酸盐[Mn(en)3]2Sn2S6·2H2O(en=H2NC2H4NH2) (1)和[Mn(dien)2]2Sn2S6 (dien=H2NC2H4NHC2H4NH2) (2),通过X-射线衍射分析表征其晶体结构。化合物1的晶体学参数:C12H48Mn2N12S6Sn2·2H2O,Mr=936.28,单斜晶系,P21/c,a=1.012 9(3),b=1.574 6(4),c=1.152 4(3) nm,β=102.36(1)°,V=1.795 5(8) nm3Z=2,Dc=1.732 g·cm-3μ(Mo)=2.442 mm-1F(000)=940,R=0.063 3,wR=0.081 4;化合物2的晶体学参数:C16H52Mn2N12S6Sn2Mr=952.32,单斜晶系,P21/c,a=1.248 12(3),b=0.937 60(4), c=1.776 17 (7) nm,β=121.752(2)°,V=1.767 5(1) nm3Z=2,Dc=1.789 g·cm-3μ(Mo)=2.479 mm-1F(000)=956,R=0.057 9,wR=0.137 4。在两个化合物中存在的[Sn2S6]4-阴离子均由共边的两个SnS4四面体构成。在1中,锰离子螯合3个乙二胺做为阳离子模板,而在2中锰离子螯合2个二乙烯三胺做为阳离子模板。金属配合物作为模板对阴离子[Sn2S6]4-在晶体结构中的排列产生重要的影响。    

10.  线性交换子的加权估计  被引次数:2
   周疆  马柏林  江寅生  李亮  杨其《云南大学学报(自然科学版)》,2008年第30卷第2期
    多线性交换子Tb(f)(x)=∫Rni=1m(bi(x)-bi(y))k(x,y)f(y)dyLp(Rn)(1K是一个标准的Calderón-Zygmund核.主要研究交换子Mf(x)=supx∈QQ|f(y)|dy,其中fLloc(Rn),xRn,Q是任何包含x的方体,并用Sharp极大估计得到了该多线性交换子在Herz空间的一个加权有界性.    

11.  Gc、Pi蛋白亚型的快速微量电泳分析  
   郭尧君  李辛晖  黄力力  喻忠义《生物化学与生物物理进展》,1995年第22卷第6期
   用快速微量等电聚焦技术对190名北京地区汉族健康人血清Gc蛋白亚型、Pi蛋白亚型进行分型鉴定和基因频率调查.上样量为1.5μl,电泳和染色各0.5h.Gc1F=0.4891,Gc1S=0.2432,Gc2=0.2678.观察值与期望值吻合良好.(∑X2=1.404,0.7<P<0.8).PiM1=0.7542,PiM2=0.1808,PiM3=0.0650,观察值与期望值吻合也良好,(∑X2=1.1233,0.7<P<0.8).    

12.  Morpho-anatomical and physiological leaf traits of two alpine herbs, Podophyllum hexandrum and Rheum emodi in the Western Himalaya under different irradiances  
   S. Pandey   N. Kumar and R. Kushwaha《Photosynthetica》,2006年第44卷第1期
   Morpho-anatomical leaf traits and photosynthetic activity of two alpine herbs, Podophyllum hexandrum (shade-tolerant) and Rheum emodi (light-requiring), were studied under field (PAR>2 000 μmol m−2 s−1) and greenhouse (PAR 500 μmol m−2 s−1) conditions. Mesophyll thickness, surface area of mesophyll cells facing intercellular spaces (Smes), surface area of chloroplasts facing intercellular spaces (Sc), intercellular spaces of mesophyll cells (porosity), photon-saturated rate of photosynthesis per unit leaf area (P Nmax), and ribulose-1,5-bisphosphate carboxylase/oxygenase activity decreased in the greenhouse with respect to the field and the decreases were significantly higher in R. emodi than in P. hexandrum. P. hexandrum had lower intercellular CO2 concentration than R. emodi under both irradiances. The differences in acclimation of the two alpine herbs to low irradiance were due to their highly unlikely changes in leaf morphology, anatomy, and P Nmax which indicated that the difference in radiant energy requirement related to leaf acclimation had greater impact under low than high irradiance.    

13.  计算自旋-s算子幺正演化矩阵ds(t)的新方法及其应用  
   胡明亮  惠小强《物理学报》,2008年第57卷第6期
   提出了一种严格求解任意自旋-s算子幺正演化矩阵的方法,该方法不同于群论的方法和直接计算的方法,是一种间接的算法.方法的核心是利用两个系统表示的等价性:即自旋-s算子Hamiltonian量Hs=Sx与Heisenberg XX开链带相互作用Jn=n(N-n)的Hamiltonian量的等价性,由于存在这种等价性,自旋-s算子幺正演化矩阵的计算可通过Heisenberg XX开链中态的演化来实现.采用该方法计算了s=3/2,s=2和s=5/2时对应的幺正演化矩阵.由于初始态|sm〉在算子e-itSx下的演化实质上相当于对态|sm〉进行一个绕x轴转角为βt的转动,演化矩阵元dsm'm(t)=〈sm′|e-itSx|sm〉就是转动后的态e-itSx|sm〉在|sm′〉态上的投影值,所以在t=π时刻的演化矩阵刚好对应Heisenberg XX开链上量子态的理想传输.    

14.  过渡元素钼钨钒磷五元杂多配合物的合成、表征以及与奎宁的取代反应  被引次数:4
   周百斌  韦永德  王玉和  马慧媛  李中华  郭元茹  周宏立《无机化学学报》,2003年第19卷第3期
   Eight new complexes were synthesized for the first time. The compounds which have the general formula KxH2[PM(OH2)Mo7W2V2O39nH2O(M=Cr3+,Mn2+,Fe3+,Co3+,Ni2+,Cu2+,Zn2+, Cd2+; x=4 or 5) were de-termined by conductance titration and elemental analysis. The analysis of IR, UV, XRD and ESR show that the products hold the Keggin structure and TG-DTA, IR, XRD at various temperatures and water solubility test also give the evidences that the range of pyrolysis temperature is 300~350℃. The study on the substitutional reaction of coordinated water by optical ligand quinine shows that the SN2 nucleophilic substitution occures when Ni is con-tained in the compound and SN1 nucleophilic substitution occures when Cu is contained. These also confirmed that the transitional metals are in the inner sphere of the complexes.    

15.  NA随机场对数律的收敛速度  
   金敬森《数学物理学报(A辑)》,2009年第29卷第4期
   设d是一个正整数, N d是d -维正整数格点.设{Xn , n∈N d} 是一同分布的负相伴随机场, 记Sn =∑k≤ n Xk, Sn(k)=Sn-Xk, 如果r >2, EX1 = 0 和σ2= Var(X1}, 则存在一个正数M:=100√(r-2)(1+σ2)使得下列条件等价(I)E |X1|r (log|X1|)d-1-r/2 <∞;(II)∑n∈ Nd |n|r/2-2P(max1≤ k≤ n |Sn(k)|≥ (2d+1 )ε√|n| log |n |) <∞,∨ε > M;(III)∑n∈N d |n|r/2-2P(max1≤ k≤n |Sk |≥ε√| n} log| n |) <∞,∨ε > M.(III)\ \ $\sum\limits_{{{\bf n}}\in {{\cal N}}^{d}} |n|^{r/2-2}P(\max\limits_{{\bf 1}\leq{\bf k}\leq{\bf n}}|S_{{\bf k}}|\geq \varepsilon \sqrt{|{\bf n}|\log |{\bf n}|})<\infty$,$\forall\varepsilon>M$.    

16.  定向集指标非交换鞅的几种收敛性  
   张艳  侯友良《数学杂志》,2015年第35卷第5期
   本文研究了定向集指标非交换鞅的几种收敛性.利用非交换鞅的理论,得到了如下结果:设{xα,Mα}α∈I是一个定向集指标的非交换鞅.则{xα}依L1范数收敛(或弱收敛)的充要条件是{xα}一致可积且满足条件(B):对任意的ε > 0,存在投影eM,使得对任意的yM,||y||≤ 1及任意的α ∈ I,有|τ(exαey)|< ε.当1 < p < ∞时,{xα}依Lp范数收敛(或弱收敛)的充要条件是{xα}在Lp(M)中依Lp范数有界.这也等价于存在一个xLp(M),使得xα=εα(x)(α ∈ I).推广了交换情形中的相应结果.    

17.  西门子法生产多晶硅的热力学  
   苗军舰  陈少纯  丘克强《无机化学学报》,2007年第23卷第5期
   应用有关热力学数据研究了与西门子法相关的“Si-Cl-H”三元系的复杂化学反应,分别绘制了在体系中存在的15个化学反应的ΔrGm?-T图和Kp?-T图;还给出在不同压强和不同SiHCl3/H2初始比例时的平衡气相成分、η-产率随温度的变化图以及在不同的压强下α因数随SiHCl3初始物质的量的分数的变化图。热力学研究结果表明,高温、低压和小的SiHCl3/H2初始物质的量的比对SiHCl3还原有利;α因数随着SiHCl3初始物质的量的比x40的增大而增大。    

18.  电性指数、电性连接性指数及其应用  被引次数:5
   冯长君《无机化学学报》,1999年第15卷第6期
   In this paper the electric index (fi) of combined atom is defined as fi=m2i·xpi·(n*i)-0.5. fi has defineated the primary factors to affect hydrated heat of metal ion (ΔHh) and solubility of metal hydroxide (pKm). Their relation formulas are set up by least square method: -ΔHh=260.31+519.31fi, n′=51, r=0.9693; pKm=0.0285+1.1358fi, n′=46, r=0.9642. The calculated values of pKm are better than the documental method. The electric connectivity index ( mF) is built up with fi, and among them the formulas of zero, first order index are defined as 0F=Σ(fi)0.5, 1F=Σ(fi·fj)0.5 respectively. 0F and 1F have highly correlativity for lattice energies (U) of inorganic compounds. Their linear regression equations are proposed as follows: (1) for 47 inorganic compounds, U=-228.41+407.620F+169.381F, R=0.9985; (2) for 34 main group compounds, U=-420.39+507.720F+144.961F, R=0.9992; (3) for 13 transitional element halides, U=573.80-119.970F+458.581F, R=0.9984. The predicting values by 0F and 1F basically tally with the experiment values, and are even more ideal than the theoretical values of document.    

19.  {(n-Bu4N)2[Mo2O2S6Cu6Br4(4,4′-bipy)3]·0.5H2O}n的合成与晶体结构  
       吉亚丽  咸春颖  李一志  郑和根《无机化学学报》,2008年第24卷第9期
   Cluster coordination polymer {(n-Bu4N)2[Mo2O2S6Cu6Br4(4,4′-bipy)3]·0.5H2O}n (4,4′-bipy=4,4′-bipyridine), has been synthesized and characterized by X-ray crystallography. The polymeric anion {[Mo2O2S6Cu6Br4(4,4′-bipy)3]2-}n is composed of secondary building units (SBUs) [MoOS3Cu3], Br atoms and 4,4′-bipy ligands. Two secondary building units [MoOS3Cu3] and a double parallel 4,4′-bipy ligands form an octanuclear rectangular metallamacrocycle with the dimension of 1.13×0.39 nm2, which is further connected by single bridging 4,4′-bipy ligands to form a 1D zigzag structure. Crystal data for compound 1: C62H97N8O2.50S6Br4Cu6Mo2, M=2 079.68, Triclinic, P1, a=0.982 40(10) nm, b=1.293 70(10) nm, c=1.737 4(2) nm, α=97.810(10)°, β=101.390(10)°, γ=108.520(10)°, V=2.005 1(4) nm3, Z=2, Dc=1.722 g·cm-3, F(000)=1 039, μ(Mo Kα)=4.055 mm-1, the final R=0.040 7, wR2=0.097 2. CCDC: 236407.    

20.  三正丁基锡3-氨基-2-吡嗪甲酸酯聚合物的合成、结构和电化学性质研究  
   邝代治  庾江喜  尹笃林  冯泳兰  张复兴  王剑秋  刘梦琴《无机化学学报》,2010年第26卷第12期
   The tri(n-butyl)tin 3-amino-2-pyrazine formic ester polymer [n-Bu3Sn(O2CC4H2N2NH2-o)]n has been synthesized and characterized by IR, 1H NMR spectra and elemental analysis. Its crystal structure has been determined by X-ray diffraction. The crystal belongs to monoclinic space group P21/c with a=1.057 7(2) nm, b=1.083 6(2) nm, c=1.905 2(4) nm, β=100.604(3)°, Z=4, V=2.146 3(8) nm3, Dc=1.325 Mg·m-3, μ(Mo Kα)=1.202 mm-1, F(000)=880, R1=0.039 3, wR2=0.113 3. In the complex, tin atoms are five-coordinated distorted trigonal bipyramid configuration. Through the intermolecular N-H…N hydrogen bonds to form network structure with a “double bridge”. The result of analysis shows that the Sn(Ⅳ)/Sn(Ⅱ) electron transfer in electrode reaction is irreversible. CCDC: 779860.    

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