Synthesis and crystal structure of dinuclear tetraphenylantimony carboxylate derivatives based on different coordination modes

Two novel dinuclear tetraorganoantimony carboxylate derivatives were synthesized based on two different coordination modes, in which the environment of one of the two Sb atoms is described as trigonal bipyramid and the other is ascribed to distorted octahedron carrying four phenyl and one benzoate substituent. Structures of compound 1 and 2 were determined by single-crystal X-ray analysis, IR and NMR. Of the two compounds, a novel double-chain structure was shown in compound 1 through C-H?π weak interaction, while compound 2 exhibited a 1D chain by C-H?π weak interaction identically.     

Thermal stability of poly(styrene) containing no head-to-head units

General purpose poly(styrene) prepared by conventional radical techniques contains a head-to-head unit as a consequence of polymerization termination by radical coupling. As has been previously demonstrated, thermal stress promotes homolysis of the bond linking the head-to-head components. The macroradicals generated depolymerize rapidly to generate styrene monomer. This decomposition during processing can lead to finished articles containing objectionable levels of styrene monomer, particularly for food packaging applications in which even low levels of monomer can promote objectionable taste and aroma. Polymer containing no head-to-head units should not be prone to this facile decomposition. In this instance, poly(styrene) has been prepared by nitroxyl-mediated polymerization of styrene monomer followed by reductive removal of nitroxyl end groups. Polymer prepared in this manner contains no head-to-head units and displays thermal stability much greater than that observed for conventional poly(styrene). A direct comparison of the stability for the two polymers is readily available by thermogravimetric techniques. A quantitative reflection of the difference in stability is available from the rate constants for the respective decomposition.     

利用GM(1,1)模型预测曲线波形

针对给出的函数y=f(x),x∈[a,b],将其值域进行n等分,设yi为其中任一分点,对应x=xi(i=1,2,…,m),用GM(1,1)模型对序列{x1,x2,…,xm}进行预测,得到曲线y=f(x)在下一段时间与直线y=yi的交点位置.当GM(1,1)模型的误差较大时,可利用带有残差修正的GM(1,1)模型进行残差修正,以提高GM(1,1)模型预测值的精确度.     

Effciency comparison between mean and log-rank tests for recurrent event time data

Recurrent event time data are common in biomedical follow-up studies, in which a study subject may experience repeated occurrences of an event of interest. In this paper, we evaluate two popular nonparametric tests for recurrent event time data in terms of their relative effciency. One is the log-rank test for classical survival data and the other a more recently developed nonparametric test based on comparing mean recurrent rates. We show analytically that, somewhat surprisingly, the log-rank test that onl...     

高师数学专业学生实验能力培养的理论研究与实践

数学实验活动是提高学生数学素养,提高学生应用能力和创造能力的有效途径.高师院校学生肩负着未来培养中小学生的数学探究能力和创造能力的重大使命.因此,高师院校数学实验的教学改革研究具有双重的意义.本文通过对高师院校数学实验课程体系改革的理论研究与教学实践,探讨了高师院校数学实验教学的一条新路,提供了适合高师院校学生数学实验能力培养的新教学模式和新途径.     

Defining the nucleotide binding sites of P2Y receptors using rhodopsin-based homology modeling

Ongoing efforts to model P2Y receptors for extracellular nucleotides, i.e., endogenous ADP, ATP, UDP, UTP, and UDP-glucose, were summarized and correlated for the eight known subtypes. The rhodopsin-based homology modeling of the P2Y receptors is supported by a growing body of site-directed mutagenesis data, mainly for P2Y₁ receptors. By comparing molecular models of the P2Y receptors, it was concluded that nucleotide binding could occur in the upper part of the helical bundle, with the ribose moiety accommodated between transmembrane domain (TM) 3 and TM7. The nucleobase was oriented towards TM1, TM2, and TM7, in the direction of the extracellular side of the receptor. The phosphate chain was oriented towards TM6, in the direction of the extracellular loops (ELs), and was coordinated by three critical cationic residues. In particular, in the P2Y₁, P2Y₂, P2Y₄, and P2Y₆ receptors the nucleotide ligands had very similar positions. ADP in the P2Y₁₂ receptor was located deeper inside the receptor in comparison to other subtypes, and the uridine moiety of UDP-glucose in the P2Y₁₄ receptor was located even deeper and shifted toward TM7. In general, these findings are in agreement with the proposed binding site of small molecules to other class A GPCRs.     

Experimental study of whistle noise generated by insert edge and oil separator model of refrigeration cycle

The compressed air experiments are conducted to investigate the whistle noise radiated from the oil separator component of refrigerant cycle system. Two types of insert edge and a height-adjustable oil separator model are adopted. The acoustic characteristic of flow through plain top insert edge is more likely to be broadband. Flow through ramp top insert edge would induce whistle peaks at Mach number higher than 0.1197 and the oil separator model works like an acoustic amplifier. Moreover, the Strouhal number jumps are captured inside oil separator model and two mechanisms are presented to clarify the phenomena. First, the whistle noise at Modes A1, A3, B1 and B3 is regarded as coupling of shear layer instability with resonance acoustic modes of oil separator model. Second, the whistle noise at Modes A2 and B2 is regarded to be the feedback loop of flow-acoustic interaction in fluctuated shear layer and defined as jet-cavity interaction tones.     

杂交元零能模式抑制的正交基本变形模式方法

通过杂交元位移场直接推导了单元基本变形模式,并且采用联合正交条件提出一种新的正交化方法,所得到的正交基本变形模式不仅具有简单的变形特征而且和材料参数无关,可以方便有效地考察单元性能,为评价不同杂交元提供了一个统一的参考标准．在此基础上利用柔度矩阵正定性给出一种简单有效的零能模式识别方法,并进一步利用基本变形模式和初始应力模式之间耦合关系,提出一种抑制杂交元零能模式的假设应力场方法,同时指出基本变形模式正交性是抑制单元零能模式的充分必要条件．2D-4节点和3D-8节点单元的数值算例说明了该文基本变形模式方法的有效性．     

丙烯酰氯改性木质素模型物制备丙烯酸单体及聚合活性分析

以木质素模型化合物二氢丁香酚(DH)为原料,利用丙烯酰氯(AC)进行接枝改性制备丙烯酸二氢丁香酚酯(DH-AC)。采用傅里叶变换红外光谱(FTIR)、气相色谱-质谱联用仪(GC-MS)、核磁共振氢谱(1H-NMR)和凝胶色谱(GPC)等分析手段研究了丙烯酸二氢丁香酚酯的结构以及聚合活性。FTIR结果表明二氢丁香酚经过丙烯酰氯改性后,3 495 cm-1为酚羟基伸缩振动吸收峰完全消失,在1 762 cm-1处有新的酯基峰生成,同时在1 631和981 cm-1出现CC的特征吸收峰,表明丙烯酸酯官能团已成功接枝到二氢丁香酚上。1H-NMR分析结果显示DH-AC在δ=5.6的酚羟基质子峰完全消失,同时在δ=6.0,6.4和6.7出现了三个不同的质子峰,这主要是由于乙烯基CHCH₂结构的引入,该结果进一步证明目标产物丙烯酸二氢丁香酚酯结构的正确性。GC-MS结果表明目标产物丙烯酸二氢丁香酚酯的纯度为98.63%。GPC结果显示DH-AC在偶氮二异丁氰(AIBN)作为引发剂的存在下,DH-AC可以发生聚合反应,均聚物相对分子质量结果为：Mw(37400),Mn(23400),Mw/Mn=1.60,表明丙烯酸二氢丁香酚酯单体具有高的聚合活性。丙烯酸二氢丁香酚酯(DH-AC)的制备和性能研究为开发新型木质素基高分子材料奠定了理论基础。     

中波红外制冷型光学系统消热差设计

对比了典型消热差方法的优劣,探讨光学被动式消热差的基本理论。在此基础上,根据系统要求的温度范围 60℃～90℃,在常温初始结构的基础上,利用Zemax软件的多重结构和自动热分析功能增加其他温度结构,运用光学被动式消热差方法进行热平衡和像差平衡,最终设计出一套中波制冷型消热差光学系统。光学设计时以探测器冷阑作为系统孔径光阑,实现了100%冷阑匹配。结构材料使用铝,光学材料为硅、锗和硒化锌,将它们组合消热差。系统在-60℃～90℃温度范围内,最大离焦量小于1倍焦深,空间分辨率17 lp/mm处,光学调制传递函数(MTF)值均大于0.74,接近衍射极限,点列图弥散斑均未超出单像元尺寸范围。