Manage Pension Deficit with Heterogeneous Insurance

This paper considers a positive and increasing pension deficit of a certain pay-as-you-go (PAYG) pension system, and tries to make up for this deficit by using heterogeneous insurance. The positive pension deficit is formulated as a mathematical function in continuous time. The surplus of an appropriate heterogeneous insurance is described by diffusion approximation of a Cramér-Lundberg process. The system of extended Hamilton-Jacobi-Bellman equations under mean-variance criterion is established. The closed-form solution and optimal surplus-multiplier of heterogenous insurance are obtained. Some interpretations further explain the theoretical values of the results.

     

基于金纳米颗粒负载的金属有机骨架材料的癌胚抗原传感器的研制

以负载Au的金属有机骨架材料(AuNPs/Cu-TPA)标记CEA抗体(Ab2)为信号探针,通过电还原的方法将氧化石墨烯还原到电极上,研制了一种捕获CEA抗体(Ab1)的电化学免疫传感器,并将其应用于癌胚抗原(CEA)检测.所合成的MOFs材料中含有大量Cu2+,且电化学信号比较稳定,因此可以通过检测MOFs材料中Cu2+的信号实现对CEA的检测.此信号探针不需要预处理和酸处理,易负载贵金属从而固定抗体,大大简化了检测步骤并缩短了检测时间.此传感器对CEA的检测灵敏度好,操作简便.在最优实验条件下,此传感器的线性范围为0.1～ 80 ng/mL,检出限为0.03 ng/mL,线性相关系数为0.9887,可用于真实样品中CEA的测定.     

Generalized knight’s tour on 3D chessboards

In [G.L. Chia, Siew-Hui Ong, Generalized knight’s tours on rectangular chessboards, Discrete Applied Mathematics 150 (2005) 80-98], Chia and Ong proposed the notion of the generalized knight’s tour problem (GKTP). In this paper, we address the 3D GKTP, that is, the GKTP on 3D chessboards of size L×M×N, where L≤M≤N. We begin by presenting several sufficient conditions for a 3D chessboard not to admit a closed or open generalized knight’s tour (GKT) with given move patterns. Then, we turn our attention to the 3D GKTP with (1, 2, 2) move. First, we show that a chessboard of size L×M×N does not have a closed GKT if either (a) L≤2 or L=4, or (b) L=3 and M≤7. Then, we constructively prove that a chessboard of size 3×4s×4t with s≥2and t≥2 must contain a closed GKT.     

β-Cyclodextrin assisted one-pot synthesis of mesoporous magnetic Fe3O4@C and their excellent performance for the removal of Cr Ⅵ from aqueous solutions

Mesoporous magnetic Fe3O4@C nanoparticles have been synthesized by a one-pot approach and used as adsorbents for removal of Cr (Ⅳ) from aqueous solution. Magnetic iron oxide nanostructured materials encapsulated by carbon were characterized by scanning electron microscope (SEM), nitrogen adsorption and desorption, X-ray diffraction (XRD) and Fourier transform infrared (FTIR) spectroscopy. The adsorption performance of the nanomaterial adsorbents is tested with the removal of Cr (Ⅳ) from aqueous solution. The results reveal that the mesoporous magnetic Fe3O4@C nanospheres exhibit excellent adsorption efficiency and be easily isolated by an external magnetic field. In comparison with magnetic Fe3O4 nanospheres, the mesoporous magnetic Fe3O4@C exhibited 1.8 times higher removal rate of Cr Ⅵ. Themesoporous structure and an abundance of hydroxy groups on the carbon surfacemay be responsible for high absorbent capability.     

Highly efficient removal of Cr(VI) from wastewater via adsorption with novel magnetic Fe3O4@C@MgAl-layered double-hydroxide

Novel magnetic Fe₃O₄@C@MgAl-layered double-hydroxide (LDH) nanoparticles have been successfully prepared by the chemical self-assembly methods. The properties of surface functional groups, crystal structure, magnetism and surface morphology of magnetic nanoparticles were characterized by Fourier transform infrared spectroscopy (FT-IR), X-ray diffraction (XRD), thermal gravity-differential thermal gravity (TG-DTG), scanning electron microscopy (SEM), and transmission electron microscopy (TEM). The adsorption studies of the novel adsorbent in removing heavy metals Cr (VI) from waste water showed that the maximum absorption amount of Cr(VI) was 152.0 mg/g at 40℃ and pH 6.0. The excellent adsorption capacity of the Fe₃O₄@C@MgAl-LDH nano-absorbents plus their easy separation, environmentally friendly composition and reusability makes them more suitable adsorbents for the removal of metal ions from waste water.