方程-▽(|▽u|p-2▽u)=ρ(x)uα在RN存在有界解的充分必要条件

考虑全空间Rn上的方程:-▽(|▽u|p-2▽u)=ρ(x)uα存在有界解的充分必要条件.     

In Situ Characterization of Polymorphic Forms: The Potential of Raman Techniques

The use of hot-stage Raman microscopy — the direct coupling of Raman spectroscopy and thermomicroscopy — is demonstrated for the drug substances paracetamol and lufenuron.Paracetamol is a well-known analgesic and antipyretic drug, for which three polymorphic forms are currently known. Lufenuron is a benzoylphenyl urea derivative that has been classified as a chitin synthesis inhibitor. It is indicated for the use in pets for the prevention and control of flea population and used in crop protection for the control of Lepidoptera, Western Flower thrips and rust mites. It is the first time that the polymorphism of lufenuron is addressed. All known modifications of paracetamol and lufenuron were produced and identified by hot-stage Raman microscopy. A close correlation of thermal and spectroscopic information was achieved by this combination of techniques.For lufenuron a series of new polymorphic forms were found and characterized. Raman spectroscopy allowed to identify the thermodynamic stable form A as the one which is marketed in tablets.This revised version was published online in November 2005 with corrections to the Cover Date.     

POSITIVE SOLUTIONS FOR WEAKLY COUPLED NONLINEAR ELLIPTIC SYSTEMS

In this article,we consider the existence of positive solutions for weakly cou-pled nonlinear elliptic systems {-△u+u (1+a(x))|u| p-1 u+μ|u| α-2 u|v|β+λv in R~N,-△v+v=(1+bx))|v|p-1v+μ|u|α|v|β-2v+λu in R N.(0.1) To find nontrivial solutions,we first investigate autonomous systems.In this case,results of bifurcation from semi-trivial solutions are obtained by the implicit function theorem.Next,the existence of positive solutions of problem(0.1) is obtained by variational methods.     

关于RNG代数湍流模式的研究

研究了ＲＮＧ代数湍流模型，提出的涡黏性方程根的识别方法对涡黏性的选择给予了合理的物理意义，它减少了模型使用中的经验性，缩短了计算时间。另外关于用外部涡函数的双峰平均法来确定分离区附近边界层的厚度也是有意义的，它继承了ＢａｌｄｗｉｎＬｏｍａｘ代数模型的长处，改进了其不足，可用于分离流动的工程计算．     

Response of the REWARD detection system to the presence of a Radiological Dispersal Device

The objective of the REWARD project consisted in building a mobile system for real time, wide area radiation surveillance, using a CdZnTe detector for gamma radiation and a neutron detector based on novel silicon technologies. The sensing unit includes a GPS system and a wireless communication interface to send the data remotely to a monitoring base station, where it will be analyzed in real time and correlated with historical data from the tag location, in order to generate an alarm when an abnormal situation is detected. The main objective of this work consisted in making predictions regarding the behavior of the REWARD system in the presence of a Radiological Dispersion Device (RDD), one of the reference scenarios foreseen for REWARD, using experimental data and the Monte Carlo simulation program MCNP6. Experimental tests were performed at the Fire Brigades Facilities in Rome and at the Naples Fire Brigades. The response of the REWARD detection system to the presence of an RDD is predicted and discussed.     

苯酚钠对2-NO_2-TPP及其金属配合物的亲核取代

研究了苯酚钠对2-NO2 -5,10,15,20-四苯基卟啉(2-NO2-TPP)1 及其铜(Ⅱ)2、镍(Ⅱ)3、铁(Ⅲ)4、钴(Ⅱ)5等金属配合物的亲核取代. 在苯酚中反应, 主要产物分别为2-(2-羟基苯基)-5,10,15,20-四苯基卟啉6(44% )及相应金属配合物7(50% )、8(52% )、9(51% )、10(51% ), 2-(4-羟基苯基)-5,10,15,20-四苯基卟啉11(33% )及相应金属配合物12(28% ),13(26% ),14(23% )、15(26% ). 对-二硝基苯(P-DNB)能抑制反应的进行.如化合物2 反应加入p-DNB, 反应由4 h 延长到10 h,同时得到70% 的2-苯氧基-5,10,15,20-四苯基卟啉铜16.实验结果由SRN1 和SN Ar的竞争来解释,其中碳碳键取代产物经SRN1 生成,醚键产物经SNAr生成.     

DENSENESS OF RADIAL-BASIS FUNCTIONS IN L^2（R^n） AND ITS APPLICATIONS IN NEURAL NETWORKS

The authors discuss problems of approximation to functions in L2(Rn) and operators fromL2(Rn1) to L2(Rn2) by Radial-Basis Functions. The results obtained solve the problem ofcapability of RBF neural networks, a basic problem in neural networks.     

基于RN和GN的两种RBF神经网络的工程造价预测模型

建立了调用NEWRB函数的正规化网络RN和基于K-means聚类的广义网络GN的两种RBF‘神经网络的工程造价预测模型,以55个厦门市工程造价案例进行实证分析.结果表明:当调用NEWRB函数构建RBF模型时,其性能主要取决于分布宽度,而基于K-means聚类的RBF神经网络主要取决于重叠系数和隐含层节点数;基于广义网络GN的RBF神经网络模型的训练效果较差,但学习速度更快、预测精度更高.     

卟啉环上的亲核取代:2.溶剂对2-NO2-TPPCu(Ⅱ)与苯酚钠反应的影响

研究了溶剂对 2 - NO2 - 5 ,10 ,15 ,2 0 -四苯基卟啉铜 (2 - NO2 - TPPCu( ) ) 1与苯酚钠反应的影响 ,发现反应速度、产物分布与所用溶剂有很大关系 .在苯酚中反应 ,主要产物为碳碳键相连的产物 2 - (2 -羟基苯基 ) - TPPCu( ) 2 (5 0 % )和 2 - (4-羟基苯基 ) - TPPCu( ) 3(2 8% ) ,在非质子极性溶剂中反应 ,主要得到碳氧键相连的产物 2 -苯氧基 - TPPCu( ) 4 .在苯甲腈、DMSO、DMF和吡啶中反应 ,4的产率分别为 5 5 %、 5 2 %、47%和 11.7% .实验结果说明 ,在反应中存在 SRN1和 SNAr的竞争 ,质子性溶剂有利于 SRN1反应 ,并主要生成碳碳键产物 2、3,非质子极性溶剂能加速 SNAr反应 ,生成醚键产物 4.     

Photostimulated SRN 1 Reactions of Benzyl Chloride with Carbazolyl Nitrogen Anion

In recent years, the studies of the radical chain nucleophilic substitution reaction (S.. I )have been active area in both mechanism and organic synthesis'-'. The main steps of thismechanism are sketched in scheme 1.As nucleophile, various anions have been used in S.l reaction. However, thestudies of the reactions of organic nitrogen anions are not so much reported'. We have'reported that photostimulated reactions of carbazolyl nitrogen, anion with aryl handes indimethyl sulfoxide by S.l mec…