RANDOM WEIGHTING APPROXIMATION IN LINEAR REGRESSION MODELS

ＲＡＮＤＯＭＷＥＩＧＨＴＩＮＧＡＰＰＲＯＸＩＭＡＴＩＯＮＩＮＬＩＮＥＡＲＲＥＧＲＥＳＳＩＯＮＭＯＤＥＬＳＳＨＩＪＩＡＮ（ＤｅｐａｒｔｍｅｎｔｏｆＰｒｏｂａｂｉｌｉｔｙａｎｄＳｔａｔｉｓｔｉｃｓ，ＰｅｋｉｎｇＵｎｉｖｅｒｓｉｔｙ，Ｂｅｉｊｉｎｇ１００８...     

合成CFC-12替代物HFC-134a的CrF_3/AlF_3催化剂研究(Ⅴ)──CrF_3与AlF_3的相互作用

由于氟氯烃（ＣＦＣｓ）对大气臭氧层的破坏作用，使得开发ＣＦＣｓ无污染替代品的研究成为热门课题［１～４］．氢氟烃（ＨＦＣｓ，如ＨＦＣ－１３４ａ）是ＣＦＣｓ的理想替代物．在氟氯交换合成ＨＦＣ－１３４ａ的反应中，ＡｌＦ３基催化剂的活性、稳定性明显优于ＣｒＦ...     

The Study of Minimax Inequalities, Abstract Economics and Applications to Variational Inequalities and Nash Equilibria

In this survey, a new minimax inequality and one equivalent geometricform are proved. Next, a theorem concerning the existence of maximalelements for an LC-majorized correspondence is obtained.By the maximal element theorem, existence theorems of equilibrium point fora noncompact one-person game and for a noncompact qualitative game withLC-majorized correspondences are given. Using the lastresult and employing 'approximation approach', we prove theexistence of equilibria for abstract economies in which the constraintcorrespondence is lower (upper) semicontinuous instead of having lower(upper) open sections or open graphs in infinite-dimensional topologicalspaces. Then, as the applications, the existence theorems of solutions forthe quasi-variational inequalities and generalized quasi-variationalinequalities for noncompact cases are also proven. Finally, with theapplications of quasi-variational inequalities, the existence theorems ofNash equilibrium of constrained games with noncompact are given. Our resultsinclude many results in the literature as special cases.     

聚碳酸酯聚氨酯弹性体的模拟生物老化性能的研究

研究了聚碳酸酯聚氨酯的水解剂，氧化，钙化等生物老化性能，并与聚醚聚氨酯样品做了比较，结果表明，胺扩链样品具有较好的耐水解性能，聚碳酸酯氨酯的抗氧化性能优于聚醚聚氨酯，同了聚醚氨酯一样，聚碳酸酯聚氨酯同样受钙的影响，含水氯化钙对聚碳酸酯聚氨酯的相结构产生影响，并对弹性具有增强作用。     

一个改进的SQP型算法

本文建立非线性等式和不等式约束规划问题的一个序列二次规划(SQP)型算法.算法的每次迭代只需解一个确实可解的二次规划，然后对其解进行简单的显式校正，便可产生关于罚函数是下降的搜索方向，克服Maratos效应.在适当的假设条件下，还论证了算法的全局收敛性和超级收敛性.     

甲氟哌酸的极谱伏安行为研究及其应用

本较详细研究了甲氟哌酸的极谱伏安行为。在０．０２ｍｏｌ／Ｌ氯化铵底液中，甲氟哌酸产生一个良好的还原峰，峰电位（Ｅｐ）为－１．４５０Ｖ。其导数峰高与浓度在９×１０＾－５－３×１０＾－７ｍｏｌ／Ｌ范围内呈现良好的线性关系，大多数金属离子和无机阴离子不干扰测定，用于甲氟哌酸合杨样品的测定，结果满意。本还用多种电化学方法和技术研究了还原峰电流的性质，并提出了电极反应的机理。     

Some Theorems for Hypersurface of Randers Spaces

In this paper, we consider the hypersurfaces of Randers space with constant flag curvature. (1) Let (Mⁿ⁺¹, F) be a Randers-Minkowski space. If (Mⁿ, F) is a hypersurface of (Mⁿ⁺¹, F) with constant flag curvature K=1, then we can prove that M is Riemannian. (2) Let (Mⁿ⁺¹, F) be a Randers space with constant flag curvature. Assume (M, F) is a compact hypersurface of (Mⁿ⁺¹, F) with constant mean curvature|H|. Then a pinching theorem is established, which generalizes the result of[Proc. Amer. Math. Soc., 120, 1223-1229 (1994)] from the Riemannian case to the Randers space.     

A simultaneous redox, alkylation, self-assembly reaction under solvothermal conditions afforded a luminescent copper(I) chain polymer constructed of Cu3I4- and EtS-4-C5H4N+Et components (Et = CH3CH2)

A simultaneous redox, alkylation, self-assembly reaction under solvothermal conditions afforded a novel copper(I) chain polymer constructed of luminescent Cu3I4- and unprecedented EtS-4-C5H4N+Et components (Et = CH3CH2).     

The orientation parameter for energy transfer in restricted geometries including block copolymer interfaces: a Monte Carlo study

We describe Monte Carlo simulations of resonance energy transfer (RET) experiments for immobile donor (D) and acceptor (A) dyes confined to planar, cylindrical, and spherical restricted geometries. We compare values of the quantum efficiency (PhiET) evaluated through consideration of individual donor-acceptor pairs, with values calculated assuming a pre-averaged value of the orientation parameter /kappa/2 = 0.476 appropriate for infinite three dimensional (3D) space. For dyes confined to restricted geometries where the length scale of the confining dimension is less than or equal to the F?rster radius R0, the coupling of the orientation parameter and the donor-acceptor distance becomes noticeable. Values of Phi(ET) obtained by proper consideration of the orientation parameter are smaller than those calculated using /kappa/2 = 0.476. We use this Monte Carlo method to reanalyze the fluoresce decay measured from dye-labeled poly(isoprene-b-methyl methacrylate) diblock copolymer with lamellar structure,(1) from which the interface thickness for PI-PMMA lamella can be retrieved. We found the retrieved interface thickness is sensitive to the choice of dipole orientation. If all dipoles in the confined polymer interface have a random orientation, the value of interface thickness was found to be 0.9 +/- 0.2 nm through consideration of individual dipole orientations. Assumption of /kappa/2 = 0.476 in the FRET calculations leads to a larger value of interface thickness (1.3 +/- 0.2 nm) due to the neglect of the coupling between dipole orientation and D-A distance for the dyes confined to lamellar interfaces.