电感耦合等离子体质谱(ICP-MS)法测定离子吸附型稀土矿中的浸出稀土元素

对浙江某地大量的离子吸附型稀土样品进行了稀土元素(Y,La,Ce,Pr,Nd,Sm,Eu,Gd,Tb,Dy,Ho,Er,Tm,Yb,Lu)的浸提和测定实验,实验对比了氯化铵和硫酸铵溶液对矿石中稀土元素的浸出性能,选择了杂质浸出较少的硫酸铵溶液作为浸出剂,对不同稀土含量的吸附型稀土矿进行了实验,浸出方法稳定,符合工业开采要求。实验了电感耦合等离子体质谱法测定浸出液中稀土元素分量的方法,浸出液经大比例稀释并酸化后测定,精密度较好,能满足离子吸附型稀土矿评价的质量要求,方法检出限(6σ)0.005~0.26μg/g,单元素测定精密度(n=6,RSD≤6.0%),浸出稀土元素总量测定RSD≤4.0%。实际样品的实验及测定结果满意。     

A Note on Generalized Lagrangians of Non-uniform Hypergraphs

Set \(A\subset {\mathbb N}\) is less than \(B\subset {\mathbb N}\) in the colex ordering if m a x(A△B)∈B. In 1980’s, Frankl and Füredi conjectured that the r-uniform graph with m edges consisting of the first m sets of \({\mathbb N}^{(r)}\) in the colex ordering has the largest Lagrangian among all r-uniform graphs with m edges. A result of Motzkin and Straus implies that this conjecture is true for r=2. This conjecture seems to be challenging even for r=3. For a hypergraph H=(V,E), the set T(H)={|e|:e∈E} is called the edge type of H. In this paper, we study non-uniform hypergraphs and define L(H) a generalized Lagrangian of a non-uniform hypergraph H in which edges of different types have different weights. We study the following two questions: 1. Let H be a hypergraph with m edges and edge type T. Let C _m,T denote the hypergraph with edge type T and m edges formed by taking the first m sets with cardinality in T in the colex ordering. Does L(H)≤L(C _m,T ) hold? If T={r}, then this question is the question by Frankl and Füredi. 2. Given a hypergraph H, find a minimum subhypergraph G of H such that L(G) = L(H). A result of Motzkin and Straus gave a complete answer to both questions if H is a graph. In this paper, we give a complete answer to both questions for {1,2}-hypergraphs. Regarding the first question, we give a result for {1,r ₁,r ₂,…,r _l }-hypergraph. We also show the connection between the generalized Lagrangian of {1,r ₁,r ₂,? ,r _l }-hypergraphs and {r ₁,r ₂,? ,r _l }-hypergraphs concerning the second question.     

基于长波长光激发的光敏剂和载体在肿瘤光动力治疗中的应用

光动力疗法是近年来兴起的一种新型的微创性治疗肿瘤的方法,目前已经成功地应用于临床上多种恶性肿瘤治疗中,并取得了良好的效果。然而,由于生物组织对可见光的吸收和散射,使得光线无法穿透组织到达身体内的目标区域,所以该疗法更适用于浅表肿瘤的治疗。长波长光尤其是近红外光具有良好的组织穿透深度,其在治疗组织深处的肿瘤方面具有显著的优势。基于长波长光激发的光敏剂及载体在实体肿瘤的治疗领域已经取得了丰硕的研究成果。本文将从光敏剂的研发、双光子激光的使用、上转换纳米粒子的引入等方面简要概述近十年来用于光动力治疗中的组装体系,以及长波长激发光在光动力治疗方面的发展趋势。     

基于黄酮的ESIPT型荧光探针检测三苯基膦

三苯基膦(PPh3)是一种重要的有机化合物,具有亲核性和还原性,已被广泛用于有机合成和有机金属化合物配位中。然而PPh3的过量使用不可避免地会引起环境的污染,并且对人体的健康也具有潜在威胁。因此我们迫切需要一种方便而高效的检测PPh3的方法。已有检测方法在便捷性和灵敏性等方面不如人意,而小分子荧光探针因其灵敏度高、选择性好、检测简单等优点受到广泛关注。受生物标记领域常用的无痕Staudinger连接反应的启发,本文设计合成了一个类似Staudinger连接反应,以能够具有固态发光性质的激发态分子内质子转移(ESIPT)特性的3-羟基黄酮荧光染料为母核,以邻叠氮苯乙酸酯为识别基团,用于检测PPh3的荧光增强型的探针分子。通过叠氮与PPh3反应,经过氮杂叶立德中间体,进行快速的分子内酰胺化,释放3-羟基黄酮染料并恢复荧光发射,从而实现在溶液中及滤纸上快速检测PPh3的目的。该探针在定量和定性检测PPh3方面具有潜在应用价值。     

8×4×2~n设计纯净两因子交互作用成分最大数的界

混水平部分因析设计在各类试验中有广泛应用.纯净效应准则是用于选取最优部分因析设计的重要准则之一.本文考虑含有一个八水平因子、一个四水平因子和若干二水平因子的8×4×2~n混水平设计,给出了分辨度为Ⅲ和Ⅳ的该类混水平设计包含纯净两因子交互作用成分最大数的上界和下界.下界通过构造特定设计而得到.     

Robust optimization approximation for joint chance constrained optimization problem

Chance constraint is widely used for modeling solution reliability in optimization problems with uncertainty. Due to the difficulties in checking the feasibility of the probabilistic constraint and the non-convexity of the feasible region, chance constrained problems are generally solved through approximations. Joint chance constrained problem enforces that several constraints are satisfied simultaneously and it is more complicated than individual chance constrained problem. This work investigates the tractable robust optimization approximation framework for solving the joint chance constrained problem. Various robust counterpart optimization formulations are derived based on different types of uncertainty set. To improve the quality of robust optimization approximation, a two-layer algorithm is proposed. The inner layer optimizes over the size of the uncertainty set, and the outer layer optimizes over the parameter t which is used for the indicator function upper bounding. Numerical studies demonstrate that the proposed method can lead to solutions close to the true solution of a joint chance constrained problem.     

Difference Cochains and Reidemeister Traces

The authors consider the difference of Reidemeister traces and difference cochain of given two self-maps,and find out a relation involving these two invariants.As an application,an inductive formula of the Reidemeister traces for self-maps on a kind of CW-complex,including spherical manifolds is obtained.     

均衡约束数学规划问题的一种新的约束规格

本文研究了均衡约束数学规划(MPEC)问题.利用其弱稳定点,获得了一种新的约束规格–MPEC的伪正规约束规格.用一种简单的方式,证明了该约束规格是介于MPEC-MFCQ(即MPEC,Mangasarian-Fromowitz约束规格)与MPEC-ACQ(即MPEC,Abadie约束规格)之间的约束规格,因此该约束规格也可以导出MPEC问题的M-稳定点.最后通过两个例子,说明了该约束规格与MPEC-MFCQ以及与MPEC-ACQ之间是严格的强弱关系.     

带1-范数约束的分裂可行问题的投影算法

本文主要研究带1-范数约束的分裂可行问题的求解算法.用一种交替投影算法,求得了问题的解,提出松弛交替投影算法,改进了直接往闭凸集上投影这一不足,并证明了该算法的收敛性.     

一种考虑聚醚醚酮（PEEK）不同力学状态的本构模型

聚醚醚酮（简称PEEK）以其优良的性能而广泛应用于高端机械、 核工程和航空等科技领域.为了描述其在应变、应变率和温度3种因素作用下的力学行为,依据PEEK在不同温度下呈现的3种力学状态,在著名的JC(Johnson Cook)本构模型的基础上,提出了针对高分子不同力学状态的分段JC本构模型.与传统JC模型及文献中改进JC模型相比,提出的分段JC模型能够更精确地表征PEEK在中高温下的力学行为,为PEEK在复合材料中的应用和分析奠定了理论基础.