Ruin Probability in a Semi-Markov Risk Model with Constant Interest Force and Heavy-Tailed Claims

In the present paper, we consider a kind of semi-Markov risk model (SMRM) with constant interest force and heavy-tailed claims, in which the claim rates and sizes are conditionally independent, both fluctuating according to the state of the risk business. First, we derive a matrix integro-differential equation satisfied by the survival probabilities. Second, we analyze the asymptotic behaviors of ruin probabilities in a two-state SMRM with special claim amounts. It is shown that the asymptotic behaviors of ruin probabilities depend only on the state 2 with heavy-tailed claim amounts, not on the state 1 with exponential claim sizes.     

一类级数求和的推广

借助收敛级数的简单运算,对一类简单级数及和数进行四种形式的推广.     

图的距离谱综述

设D(G)为连通图G的距离矩阵,λ1(D)≥>…≥AnD)是D(G)的特征值.距离特征值的研究可追溯到Graham 和Pollack [Bell Syst.Tech.J.,1971,50:2495-2519]的工作,其中描述了负距离特征值数目与数据通信系统寻址问题之间的关系.2014年,Aouchiche和Hansen...     

“非平均区间数”计算及其在政府决策信息系统中的应用

本文在已有的“区间数”定义及排序算法的基础上 ,针对层次分析法提出了更加灵活 ,准确的描述主观评判的“非平均区间数”概念及其排序算法 .并结合政府决策信息系统阐述了“非平均区间数”的应用     

一类随机算子方程的随机解的存在唯一性

利用Mann迭代技巧,讨论了一类随机算子方程A（ω,x（ω）,x（ω））=B（ω,x（ω））的随机解的存在唯一性,并给出了迭代序列收敛于解的误差估计,所得结果是某些已知结果本质改进和推广.     

Collective Excitation and Quantum Depletion of a Bose-Einstein Condensate in a Periodic Array of Quantum Wells

With the help of a set of exact closed-form solutions to the stationary Gross–Pitaevskii （GP） equation, we calculate the collective excitation and quantum depletion of a weakly interacting Bose gas in the presence of a periodic array of quantum wells. The excitation spectrum （Bogoliubov spectrum） is obtained from the solution of the linearized time-dependent GP equation, which develops energy bands hωj（ p） periodic in quasi-momentum space. Moreover, we calculate the excitation strengths Zj（ p） relative to the density operator and then the dynamic structure factor S（ p,ω）. Accordingly, the analytical expressions of quantum depletion of the system are obtained. We find that the quantum depletion is enhanced when the interatomic interactions become larger and the potential is sufficiently deep. The conditions for the possible experimental realization of our scenario are also proposed.     

激光热交联型CTP版材的改进

针对自制激光热交联型CTP版材存在的问题,在版材中添加了一种磺酸酯类化合物,用其作为酸增殖剂。由于把酸增殖剂引入到了CTP版材中,所以使版材的灵敏度和成像质量得到了明显地提高。     

胃肠模拟系统对明矾炮制药材中铝的形态转变影响

根据人体胃肠环境变化特点,调节4个明矾炮制药材的水煎液的酸度,于37℃恒温水浴中保持1h之后,用0.45μm微孔滤膜、732氢型阳离子交换树脂分离水煎液中各种铝形态.湿法消解-石墨炉原子吸收光谱法(GFAAS)测定总铝量;GFAAS直接测定水煎液中各形态铝含量.得到了各样品中铝形态含量及分布情况,并且与未调节酸度的样品进行比较,讨论铝在胃肠的模拟系统影响下的形态转变原因.所得结果对明矾炮制药材中铝的安全性评价有参考价值.     

Progresses and advances in Arctic underwater acoustics study

As a part of underwater acoustics, the study and development of Arctic Acoustics is later than underwater acoustics about several hundred years. After World War II, the study of Arctic Acoustics attracts many interests by some developed countries, especially U.S. and pre-Soviet Union. The research works obviously have some kinds of cold war brand. After the Cold War, with the gradual warming trend of Arctic area, the ocean acoustic environment in Arctic and its adjacent area have been considerably concerned. The 8 countries of Arctic rim organized exclusive "Arctic Council" in 1996. The white paper of "China Arctic Policy"was published in January 26, 2018, the Chinese government declared that China is a close Arctic country, and is the responsible stakeholder of Arctic interests. The new advances in Arctic research works axe introduced in this paper, including the results of scientific survey and studies about Arctic underwater acoustics of Chinese researchers. It is showed that the Arctic underwater acoustical research area is not only parallely copy the topics what traditional underwater acoustics covered, e.g. environment noise,reverberation,and propagation, but also the topics which is specifically based on the Arctic environment. Some of these research fields cannot be included in the traditional shallow water, deep water acoustics, e.g. the ice-water interface feature, ice covered semi-acoustic channel effect, the communication and navigation of UUV in the condition of under ice, and the adaptation of sonar technique, equipment in the ice-covered environment, etc.     

呋喃唑酮在凡纳滨对虾组织中代谢动力学研究

运用液相色谱-串联质谱法研究了呋喃唑酮药饵多次给药后在凡纳滨对虾体内的药物代谢动力学.研究结果表明：呋喃唑酮代谢物在血淋巴、肝胰脏、肌肉组织中的代谢过程均符合二室模型,其动力学方程分别为C血液=414.107×e^-0.092t＋124.451×e^-0.005t,C肝胰腺=1625.563×e^-0.019t＋125.700,C肌肉=120.434×e^-0.019t＋71.579×e^-0.001t.凡纳滨对虾血淋巴和肝胰腺中呋喃唑酮代谢物浓度在4h达到高峰,肌肉中药物浓度在2h达到最大值;最高峰时血淋巴、肝胰腺和肌肉中药物浓度平均为570.6μg·L^-1、1948.6μg·kg-1和210.0μg·kg-1.在血淋巴、肝胰腺和肌肉组织中呋喃唑酮代谢物浓度的吸收半衰期（t1/2α）分别为7.497h、36.206h和36.484h,消除半衰期（t1/2β）分别为132.525 h、1 000 479.217 h和505.637 h,总表观分布容积（V1/F）分别为55.775 L·kg^-1、17.16 L·kg^-1和161.574L·kg^-1.说明给药后呋喃唑酮代谢物在凡纳滨对虾体内消除缓慢,残留严重,尤其以肝胰脏残留最为明显.