NURBS approximation of surface/surface intersection curves

We use a combination of both symbolic and numerical techniques to construct degree boundedC ^k -continuous, rational B-spline ε-approximations of real algebraic surface-surface intersection curves. The algebraic surfaces could be either in implicit or rational parametric form. At singular points, we use the classical Newton power series factorizations to determine the distinct branches of the space intersection curve. In addition to singular points, we obtain an adaptive selection of regular points about which the curve approximation yields a small number of curve segments yet achievesC ^k continuity between segments. Details of the implementation of these algorithms and approximation error bounds are also provided. Supported in part by NSF Grants CCR 92.22467, DMS 91-01424, AFOSR Grant F49620-10138 and NASA Grant NAG-1-1473. Supported in part by K.C. Wong Education Foundation, Hong Kong.     

THERMODYNAMIC AND PARTICLE-DYNAMIC STUDIES ON SYNTHESIS OF SILICA NANOPARTICLES USING MICROWAVE-INDUCED PLASMA CVD

1. Introduction1.1 Silica nanoparticles and synthesis methods Silica (SiO2) nanoparticles are widely used in industry asan active filler for polymer reinforcement, a rheologicaladditive in fluids, a free flow agent in powders, and anagent for chemical mechanical polishing during IC (inte-grated circuit) fabrication (Sniegowski & de Boer, 2000).Silica powder is also used for producing silicon carbide(Koc & Cattamanchi, 1998) or opaque silica aerosols (Leeet al., 1995). Many methods can …     

FI催化剂配体的研究进展

FI催化剂作为一类新型聚烯烃催化剂,具有高活性、耐高温等特性,在催化聚合方面表现出良好的性能,不但可以催化乙烯与极性及非极性单体共聚,而且可以通过改变主催化剂苯氧基亚胺配体的结构,得到具有不同结构的聚合物。本文介绍了FI主催化剂的基本结构、合成方法、结构与催化性能的关系以及基于苯氧基亚胺配体基本结构的新型催化剂的研究进展。     

柠檬酸镧的合成及其对SBR橡胶硫化性能的影响

以氯化镧和柠檬酸为原料,合成柠檬酸镧,探究反应条件对柠檬酸镧产率的影响,得到反应体系p H值4~5之间,柠檬酸与氯化镧的摩尔比1.2∶1,反应体系温度50℃为较优的反应条件。并将合成的柠檬酸镧添加到SBR混炼胶中,研究其对混炼胶的硫化特性和硫化胶物理机械性能的影响;结果表明,添加2.5%的柠檬酸镧可使混炼胶的硫化速率t90达到943 s,比未添加柠檬酸镧的快了31 s,当添加量为7.5%时硫化胶的物理机械性能达到最佳,比未添加相比提高了将近50%。通过红外光谱表征产物结构,并采用硫化仪、万能试验机对混炼胶进行硫化性能及物理机械性能测试,研究结果表明,柠檬酸镧可提高混炼胶的硫化性能、硫化胶物理机械性能及抗硫化还原性。因此,柠檬酸镧可以作为SBR橡胶硫化剂的一种补充。     

以尿素为氮源制备氮改性二氧化钛及其改性机理

以钛酸丁酯为前驱体,以尿素为氮源,采用改进溶胶-凝胶法制备了不同N含量的改性TiO2光催化剂(N-TiO2).以重铬酸钾为目标污染物,以甲酸为空穴捕获剂,评价了可见光下该催化剂的催化还原活性.结果表明,N-TiO2催化剂活性明显高于未改性催化剂,当催化剂中N/Ti摩尔比为10%、焙烧温度为400℃时,其光催化还原活性最...     

Facile synthesis of spiny mesoporous titania tubes with enhanced photocatalytic activity

We demonstrate here for the first time an original and facile approach to synthesizing a novel TiO(2) tube with a spiny mesoporous wall. The photocatalytic activity of the spiny mesoporous tube was greatly enhanced owing to the superior light reflecting ability of the tubular structure as well as the crosslinked spiny nanosheets.     

A highly selective and sensitive on-off sensor for silver ions and cysteine by light scattering technique of DNA-functionalized gold nanoparticles

DNA-functionalized gold nanoparticles are shown to act as a light-scattering switch. Ag(+) ion turns on the switch through the DNA-Au NPs conjugates based on the formation of cytosine-Ag(+)-cytosine base pairs, whereas cysteine turns off the light-scattering signal because it competitively binds to Ag(+).     

Effect of surfactant additives on nucleate pool boiling heat transfer of refrigerant-based nanofluid

Effect of surfactant additives on nucleate pool boiling heat transfer of refrigerant-based nanofluid was investigated experimentally. Three types of surfactants including Sodium Dodecyl Sulfate (SDS), Cetyltrimethyl Ammonium Bromide (CTAB) and Sorbitan Monooleate (Span-80) were used in the experiments. The refrigerant-based nanofluid was formed from Cu nanoparticles and refrigerant R113. The test surface is horizontal with the average roughness of 1.6 μm. Test conditions include a saturation pressure of 101.3 kPa, heat fluxes from 10 to 80 kW m⁻², surfactant concentrations from 0 to 5000 ppm (parts per million by weight), and nanoparticle concentrations from 0 to 1.0 wt.%. The experimental results indicate that the presence of surfactant enhances the nucleate pool boiling heat transfer of refrigerant-based nanofluid on most conditions, but deteriorates the nucleate pool boiling heat transfer at high surfactant concentrations. The ratio of nucleate pool boiling heat transfer coefficient of refrigerant-based nanofluid with surfactant to that without surfactant (defined as surfactant enhancement ratio, SER) are in the ranges of 1.12-1.67, 0.94-1.39, and 0.85-1.29 for SDS, CTAB and Span-80, respectively, and the values of SER are in the order of SDS > CTAB > Span-80, which is opposite to the order of surfactant density values. The SER increases with the increase of surfactant concentration and then decreases, presenting the maximum values at 2000, 500 and 1000 ppm for SDS, CTAB and Span-80, respectively. At a fixed surfactant concentration, the SER increases with the decrease of nanoparticle concentration. A nucleate pool boiling heat transfer correlation for refrigerant-based nanofluid with surfactant is proposed, and it agrees with 92% of the experimental data within a deviation of ±25%.     

THE MINIMAL PROPERTY OF THE CONDITION NUMBER OF INVERTIBLE LINEAR BOUNDED OPERATORS IN BANACH SPACES

In this paper we show that in error estimates, the condition number k(T) of any in-vertible linear bounded operator T in Banach spaces is minimal. We also extend the Hahn-Ba-nach theorem and other related results.     

实现同一度序列的图的最大团数

图G中最大完全子图的阶数称为G的团效．ω(π)和γ(π)分别表示实现度序列π=(d_1,d_2,…,d_n)的图的最大团数和最小团数．Erds,Jacobson和Lehel开始考虑确定具有相同度序列π的图的可能的团数问题．他们证明了对于充分大的n,有ω(π)-γ(π)-n一2n~(2/3)．在本文中,我们首先估计了一类特殊可图序列的ω(π)之值,其次我们建立了一个估计任意可图序列π的ω(π)之值的算法．