A HYBRID METHOD FOR SOLVING VARIATIONAL INEQUALITY PROBLEMS

§ 1　IntroductionThe problem of finding a point x* ∈S such that〈F(x* ) ,x -x* 〉≥ 0 for all x∈ S,(VIP)where S is a nonempty closed convex subset of Rn,F is a mapping from Rninto itself,and〈.,.〉denotes the inner productin Rn,is called the variational inequality problem and hasbeen widely used to study various equilibrium models arising in economic,operations re-search,transportation and regional sciences[1 ,2 ] .Many iterative methods for (VIP) havebeen developed,for example,project…     

Moderate deviations principle for products of sums of random variables

Let(Xn)n≥1 be a sequence of independent identically distributed(i.i.d.) positive random variables with EX1 = μ,Var(X1) = σ2.In the present paper,we establish the moderate deviations principle for the products of partial sums(Πnk=1Sk/n!μn)1/(γbn√(2n))1where γ = σ/μ denotes the coefficient of variation and(bn) is the moderate deviations scale.     

SELF-SIMILAR CRACK EXPANSION METHOD FOR THE STRESS INTENSITY FACTOR ANALYSIS

The Self-Similar Crack Expansion (SSCE) method is proposed to evaluate stress intensi-ty factors at crack tips, whereby stress intensity factors of a crack can be determined by the crackopening displacement over the crack, not just by the local displacement around the crack tip. The crackexpansion rate is estimated by taking advantage of the crack self-similarity. Therefore, the accuracy ofthe calculation is improved. The singular integrals on crack tip elements are also analyzed and are pre-cisely evaluated in terms of a special integral analysis. Combination of these two techniques greatly in-creases the accuracy in estimating the stress distribution around the crack tip. A variety of two-dimen-sional cracks, such as subsurface cracks, edge cracks, and their interactions are calculated in terms ofthe self-similar expansion rate. Solutions are satisfied with errors less than 0.5% as compared with theanalytical solutions. Based on the calculations of the crack interactions, a theory for crack interactionsis proposed such that for a group of aligned cracks the summation of the square of SIFs at the right tipsof cracks is always equal to that at the left tips of cracks. This theory was proved by the mehtod ofSelf-Similar Crack Expansion in this paper.     

耐温阳离子树脂催化二壬基酚与苯酚合成壬基酚

用耐高温阳离子树脂催化二壬基酚与苯酚烷基转移为壬基酚．研究表明，经过耐温处理的强酸性阳离子交换树脂有较好的催化性能，当以CH2O2型树脂作为催化剂。在140℃，苯酚与二壬基酚摩尔比8：l的务件下反应2．5h，二壬基酚的转化率可以达到90％以上，适当延长反应时间。二壬基酚的转化率可以进一步提高，催化剂重复使用8次催化活性没有明显降低．     

Fourier Power Spectrum Analysis of Exons for the Period-3 Behavior

The period-3 behaviors of 105 exons from 20 genes in human were studied by Fourier power spectrum. The results indicated that not all exons show the period-3 behavior. The exons were adjusted in order to make them accord with the order of the protein translated, and we found that the period-3 character is relation to the length of exons and the bases distribution in the three codon position. Furthermore, as long as the exons with period-3 behavior accord with the order of protein translated, they would exhibit the synonymous codons usage preference, and the codons with g/c at the third position are used in higher frequency. The results are significant to the gene prediction and the research on the introns.     

乳液聚合法制备亚微米级分子印迹聚合物微球

以西咪替丁为印迹分子，2-丙烯酰胺-2-甲基丙磺酸(AMPS)为功能单体，三羟甲基丙烷三甲基丙烯酸甲酯(TRIM)为交联剂，采用乳液聚合法制备了亚微米级分子印迹聚合物微球．利用扫描电镜对此聚合物微球的形貌进行了观察，探讨了影响乳液稳定性、粒径大小与分布的主要因素，重点对聚合工艺和配方进行了优化，并将所得的聚合物用作吸附剂研究了其分子识别与选择性能．研究表明，乳液聚合法能够制得单分散性较好的、平均粒径在0．169μm～0．407μm的分子印迹聚合物微球，且该微球对其印迹分子呈现出较好的特异识别与选择性能，当以苯丙氨酸为竞争分子时，分离因子可达1．70．     

Microdetermination of Residual Protein in Penicillin by Resonance Light Scattering Technique with m-Nitrophenylfluorone-Mo(VI) Complex

Use of penicillin may cause allergic sensitivity in many individuals. The content of residual proteins in penicillin may be the antigenicity substances that may cause allergic reaction in case of excess. On the other hand, an excess of residual protein leads to many problems in technology such as high viscosity, difficulties in filteration, a lot of foam, time-consuming etc. And the yield of penicillin is affected consequently. Therefore, content of residual protein in penicillin must be contr…     

氧比铝基催化剂上羰基硫和二氧化碳的水解研究 Ⅱ.催化剂上CO_2-TPD的研究(英文)

利用ＣＯ２程序升温脱附测定了三种氧化铝基催化剂上的表面碱性。结果表明，三种催化剂上表面碱性的类型、强度和数目分布不同。活性氧化铝上负载Ｋ２Ｏ和Ｐｔ可大大改变催化剂表面碱性分布。三种催化剂上弱碱性中心的ＣＯ２脱附表现活化能分别为２５．９７，２７．９２和２９．７７ｋＪ／ｍｏｌ。弱碱性中心是ＣＯＳ水解催化活性中心，而弱的和较强的碱性中心参与ＣＳ２的水解催化反应。     

Synthesis of thiourea derivatives as CCR4 antagonists

A series of thiourea derivatives have been synthesized. Their structures were confirmed by MS and 1H NMR. Several compounds showed potent activities as antagonists of CCR4 receptor.     

Synthesis and photochemistry of novel bromo substituted stilbene derivatives as triplet state sensitizers for the generation of singlet oxygen

We have presented the synthesis and characterization of three new bromo substituted stilbene derivatives,p-3,4,5-trimethoxy-p'- 2,3,4,5,6-pentabromostilbene(C1),p-N,N-dimethylamino-p'-2,3,4,5,6-pentabromostilbene(C2) and p-N,N-diphenylamino-p'- 2,3,4,5,6-pentabromostilbene(C3) in this letter.The UV/vis absorption and photoluminescence were investigated in various solvents.The maximal absorption wavelength of C1 exhibited blue-shift to those of C2 and C3 in different solvents.No florescence emission could...