Asymmetric equilibria in dynamic two-sided matching markets with independent preferences

A fundamental fact in two-sided matching is that if a market allows several stable outcomes, then one is optimal for all men in the sense that no man would prefer another stable outcome. We study a related phenomenon of asymmetric equilibria in a dynamic market where agents enter and search for a mate for at most n rounds before exiting again. Assuming independent preferences, we find that this game has multiple equilibria, some of which are highly asymmetric between sexes. We also investigate how the set of equilibria depends on a sex difference in the outside option of not being mated at all.     

Fast method of XANES data collection suitable for oxidation state mapping

XANES has been recently used for the determination of oxidation states of actinides in environmental samples. To obtain reliable results, however, a sufficiently long counting time at every probing energy and a large number of experimental points per XANES spectrum are required, due to the complex mathematical model used to fit the measured spectrum. This makes micro-mapping difficult, since the time required for data collection becomes unacceptably long. A simplified model for data collection and evaluation is presented. Its effectiveness has been tested by measuring the distribution of Pu oxidation states in a “hot” particle coming from a nuclear weapon test site.     

K_(10)[H_2W_(12)O_(42)]·11H_2O的合成及晶体结构分析

在水溶液中反应制得无色透明的标题化合物单晶 ,单晶X -射线结构分析表明 ,属单斜晶系 ,空间群P2 1,晶胞参数 :a=1.15 47(2 )nm ,b =1.430 9(3)nm ,c =1.5 495 (3)nm ,β =10 5 .41(3)° ,V =2 .46 81(9)nm3,Z =2 ,Dc=4.6 39Mg/m3,对 5 45 4个独立衍射点 (I>2δ(I) )进行全矩阵最小二乘法修正后 ,可靠性因子R =0 .0 487     

2,2′,6,6′-Tetrachloro-4,4′-propane-2,2-diyldiphenol, 2,2′,6-tribromo-4,4′-propane-2,2-diyldiphenol and 2,2′,6,6′-tetrabromo-4,4′-propane-2,2-diyldiphenol

Three flame retardants with very similar molecular structures showing three different packing patterns have been studied. The crystal structure of 2,2′,6,6′-tetrachloro-4,4′-propane-2,2-diyldiphenol, C₁₅H₁₂Cl₄O₂, can be described as a packing of sheets. The packing shows a very short intermolecular Cl⋯Cl contact distance of 3.094 (2) Å between pairs of mol­ecules inside each sheet. The crystal structure of 2,2′,6-tribromo-4,4′-propane-2,2-diyldiphenol, C₁₅H₁₃Br₃O₂, can be described as a packing of doubly stranded helical square tubes. These square helices are interconnected through Br⋯Br contacts between different helices. Finally, a previously known structure, 2,2′,6,6′-tetrabromo-4,4′-propane-2,2-diyldiphenol [Simonov, Cheban, Rotaru & Bels'skii (1986). Kristallografiya, 31 , 397–399], C₁₅H₁₂Br₄O₂, which is the most commonly used flame retardant and which has twofold rotational symmetry, has been refined in the correct absolute configuration. The structure shows large differences from the chloro analogue with regard to packing, van der Waals distances and hydrogen-bond distances.     

Retention mechanisms and selectivity in internal-surface reversed-phase liquid chromatography. Studies with cyanobacterial peptide toxins

Summary Microcystins-LA,-LR,-RR,-YR and nodularin, cyanobacterial peptide toxins, were separated by internal-surface reversed-phase (ISRP), high-performance liquid chromatography. The capacity factors of the toxins were measured in the range pH 2–8 using acetonitrile, isopropanol or tetrahydrofuran in potassium dihydrogenphosphate mobile phase. The main retention mechanism of the ISRP column was reversed-phase interaction but cation-exchange offered additional selectivity at neutral and slightly acidic pH. At neutral pH (10% modifier, 0.1 M buffer) the elution order was microcystin-LA (two nonpolar residues leucine and alanine as the variable amino acids), nodularin, microcystin-LR,-YR and-RR (two basic arginines as the variable amino acids). The retention times of all toxins except microcystin-RR were substantially longer at acidic pH. At pH 2 (10% modifier, 0.1 M buffer) where the cation-exchange mechanism was inoperative the elution order was changed to microcystin-RR, nodularin, microcystin-LR,-YR and-LA. The best separation was achieved at pH 2 where even two desmethylated microcystin-RR analogs could be separated from microcystin-RR.     

A new material for hydrogen storage; ScAl0.8Mg0.2

A novel aluminium rich alloy for hydrogen storage has been discovered, ScAl_0.8Mg_0.2, which has very promising properties regarding hydrogen storage capacity, kinetics and stability towards air oxidation in comparison to hydrogen absorption in state-of-the-art intermetallic compounds. The absorption of hydrogen was found to be very fast, even without adding any catalyst, and reversible. The discovered alloy crystallizes in a CsCl-type structure, but decomposes to ScH₂ and Al(Mg) during hydrogen absorption. Detailed analysis of the hydrogen absorption in ScAl_0.8Mg_0.2 has been performed using in situ synchrotron radiation powder X-ray diffraction, neutron powder diffraction and quantum mechanical calculations. The results from theory and experiments are in good agreement with each other.     

产品需求种类不确定条件下制造柔性价值研究

将Karsak＆Ozogul的产品需求数量不确定条件下的制造柔性价值模型推广为产品需求种类不确定性条件下的制造柔性价值模型，并把不确定源服从几何布朗运动的假设条件放松到服从随机微分方程的一般情形。通过构建产品需求种类不确定性条件下制造柔性价值的数学模型，对不确定性因素进行了比较静态分析，并给出了一个实例分析。结果表明：制造柔性价值随着产品需求种类不确定性增加而增加。     

Beginners’ progress in early arithmetic in the Swedish compulsory school

This article focuses on spontaneous knowledge-building in the field of “the arithmetic of the child.” The aim is to investigate the conceptual progress of fifteen children during their early school years in the compulsory school. The study is based on the epistemology of radical constructivism and the methodology of “multiple clinical interviews”. A model of “the arithmetic of the child” elucidates mental structures used by the child in solving problems. The individual interviews are video-recorded. The results show that the children's solutions are compatible with the model. When the researcher adapts problems to the children's available concepts to bring out their capability, they all solve them in their own ways. Further, the conceptual levels of the children differ to a great extent at school start and do not all show conceptual progress after 2 years of traditional teaching. An implication for an alternative teaching process is suggested, namely “the arithmetic for the child”, accomplished in a triadic teaching process.