Liouville—Ttype Theorems for Conformal Gaussian Curvature Equations in R^2

In this paper,we derive an elementary identity for smooth solutions of the following equation:△u(x) K(x)e^2u(x)=0 in R^2 and use it to get some global properties of the solutions.     

Matroid Shellability, β-Systems,and Affine Hyperplane Arrangements

The broken-circuit complex is fundamental to the shellability and homology of matroids, geometric lattices, and linear hyperplane arrangements. This paper introduces and studies the -system of a matroid, nbc(M), whose cardinality is Crapo's -invariant. In studying the shellability and homology of base-pointed matroids, geometric semilattices, and afflne hyperplane arrangements, it is found that the -system acts as the afflne counterpart to the broken-circuit complex. In particular, it is shown that the -system indexes the homology facets for the lexicographic shelling of the reduced broken-circuit complex , and the basic cycles are explicitly constructed. Similarly, an EL-shelling for the geometric semilattice associated with M is produced,_and it is shown that the -system labels its decreasing chains.Basic cycles can be carried over from The intersection poset of any (real or complex) afflnehyperplane arrangement is a geometric semilattice. Thus the construction yields a set of basic cycles, indexed by nbc(M), for the union of such an arrangement.     

ε-optimality criteria for convex programming problems via exact penalty functions

In this paper, we present-optimality criteria for convex programming problems associated with exact penalty functions. Several authors have given various criteria under the assumption that such convex problems and the associated dual problems can be solved. We assume the solvability of neither the convex problem nor the dual problem. To derive our criteria, we estimate the size of the penalty parameter in terms of an-solution for the dual problem.     

Alpha-decay of neutron-deficient 200Fr and heavier neighbours

A new measurement of the ²⁰⁰Fr -decay half-life, with improved accuracy compared to previous measurements, has been carried out at the Isolde-CERN on-line mass separator. A half-life of 49(4) ms has been obtained, which is substantially different from earlier literature values. For the ¹⁹⁶At daughter decay, a half-life of 389(54) ms and an branching ratio b = 94(5)% were measured. In addition, the half-lives of ^{201, 203, 205}Fr and ^197,199At are reported.     

A structurally diverse heterocyclic library: A benzothiazepine-fused β -lactam library derived from reaction of 2,3-dihydro-1,5-benzothiazepines and acyl chlorides: Synthesis and stereochemistry

A 1H-azeto[2,1-d][1,5]benzothiazepin-1-one, -lactam derivatives of dihydrobenzothiazepines library derived from reactions of 2,4-disubstituted 2,3-dihydro-1,5-benzothiazepines and acyl chlorides, including phthalimidoacetyl chloride, chloroacetyl chloride, dichloroacetyl chloride and phenoxyacetyl chloride, was built up through parallel solution-phase synthesis. Stereochemistry of 1H-azeto[2,1-d][1,5]benzothiazepin-1-ones in the reaction process is discussed.     

紫色土土壤全氮和全磷含量的高光谱遥感预测

高光谱遥感技术是土壤养分预测的有效手段之一。以三峡库区王家沟小流域为研究区,在对土壤样本的理化性质和实验室反射光谱数据分析和测量的基础上,用偏最小二乘回归方法建立了紫色土土壤全氮和全磷含量的预测模型,并用33个水稻土土壤样本对紫色土土壤养分预测模型进行了验证。结果显示,紫色土土壤全氮预测模型得到的土壤样本预测值和实测值之间的总相关系数达到了0.672,而紫色土土壤全磷预测模型得到的相关系数只有0.498; 用紫色土土壤养分预测模型对水稻土土壤养分进行预测得到的相关系数分别为0.550和0.124。因此,用高光谱来预测紫色土土壤全氮含量具有一定的可行性,但高光谱对于紫色土全磷含量的预测效果相对较差;土壤养分预测模型在不同类型土壤之间并不具有很好的通用性。     

棉花冠层水分含量估算的高光谱指数研究

适宜的光谱指数对于地表参数高光谱诊断模型的估算精度具有决定性作用。通过不同棉花冠层水分含量表征参数冠层等效水厚度EWT_canopy, 植株含水量VWC及其对应的光谱数据分析,构建350～2 500 nm范围内所有波段两两组合的比值指数RVI和归一化指数NDVI,分析水分含量表征参数与所有指数之间的相关关系,筛选最大相关系数对应的指数作为最佳水分指数,利用新指数构建水分含量表征参数的估算模型,并与已知的各种水分指数估算精度进行比较。结果表明：新建比值指数R_{1 475}/R_{1 424}及其归一化指数(R_{1 475}-R_{1 424})/(R_{1 475}+R_{1 424})对EWT_canopy的估算效果最佳,由其得到的估算值与实测值之间的相关系数r值达到0.849;已知指数(R₈₃₅-R_{1 650})/(R₈₃₅+R_{1 650})对VWC的估算效果最佳,由其得到估算值与实测值之间的相关系数r值为0.805。     

纳米晶ZrO2:Er3+-Yb3+的制备及其室温上转换发射

用化学共沉淀法制备了ZrO₂:Er³⁺-Yb³⁺纳米晶粉体，所制备的纳米晶粉体具有较强的室温上转换发射和红外发射.研究了样品的晶体结构和上转换发光性质随着Yb³⁺掺杂浓度和煅烧温度的变化关系.通过X射线衍射谱分析发现，经800℃煅烧2h后得到的ZrO₂:Er³⁺-Yb³⁺纳米晶是四方相和单斜相的混合结构，经950℃煅烧2h后得到的样品以单斜相为主，随着Y     

Optical Properties of Films of Cu x Ag1−x InSe2 Solid Solutions Obtained by Laser Evaporation

The structure and optical properties of the films of ternary compounds AgInSe₂, CuInSe₂ and Cu _x Ag_1–x InSe₂ solid solutions obtained by pulsed laser evaporation are investigated. It has been established that the films like bulk crystals have the structure of chalcopyrite. By the transmission and reflection spectra near the edge of natural absorption the refractive index and coefficient of optical absorption are calculated and the energies of interband transitions and the crystalline and spinorbit splitting are determined.     

环庚三烯酚酮稀土配合物的拉曼光谱研究

本文应用拉曼光谱研究了镧系金属镧 ,钕 ,钐和镱与环庚三烯酚酮配合物的配位方式及结构。研究结果表明 ,金属与环庚三烯酚酮配位后原对应于OH的伸缩振动谱峰消失 ,同时部分相关的谱峰频率也发生了明显的位移 ,在低波数 4 0 0 -5 0 0cm- 1区间检测到新的谱峰 ,并且该谱峰的位置随配合物中金属的不同而不同。根据拉曼光谱的研究结果推断了金属与配体的配位方式以及所得稀土金属配合物可能的结构。