Equilibration Processes in the Warm-Hot Intergalactic Medium

The Warm-Hot Intergalactic Medium (WHIM) is thought to contribute about 40–50% to the baryonic budget at the present evolution stage of the universe. The observed large scale structure is likely to be due to gravitational growth of density fluctuations in the post-inflation era. The evolving cosmic web is governed by non-linear gravitational growth of the initially weak density fluctuations in the dark energy dominated cosmology. Non-linear structure formation, accretion and merging processes, star forming and AGN activity produce gas shocks in the WHIM. Shock waves are converting a fraction of the gravitation power to thermal and non-thermal emission of baryonic/leptonic matter. They provide the most likely way to power the luminous matter in the WHIM. The plasma shocks in the WHIM are expected to be collisionless. Collisionless shocks produce a highly non-equilibrium state with anisotropic temperatures and a large differences in ion and electron temperatures. We discuss the ion and electron heating by the collisionless shocks and then review the plasma processes responsible for the Coulomb equilibration and collisional ionisation equilibrium of oxygen ions in the WHIM. MHD-turbulence produced by the strong collisionless shocks could provide a sizeable non-thermal contribution to the observed Doppler parameter of the UV line spectra of the WHIM.     

超声研磨工具的有限元优化设计

给出了超声研磨工具的结构,在无法用解析法确定工具结构参数的情况下,采用大型有限元软件ANSYS仿真其实际工况,对不同结构参数的工具进行模态分析,找到其纵振频率与工作频率接近的一组参数作为有限元优化设计的初始设计序列,进行优化设计得到最优解。     

电化学浸渍液乙醇中铜铁镁含量的测试技术

运用空气-乙炔火焰原子吸收光谱法进行电化学浸渍液乙醇中铜、铁、镁含量的连续测试。介绍了铜、铁、镁最佳测定条件及呈良好线性范围的浓度。同时对样品消化处理条件及在测定中样品的干扰因素进行了综合考虑,该方法具有很好的灵敏度、很好的复现性。同时具有方法步骤简单、操作容易掌握等特点,对样品铜、铁、镁含量的连续测试,其相对标准偏差均小于1.0％(n=10);标准加入回收率均在97.0％-102.0％(n=6)范围内。     

Fuzzy multi-criteria decision-making approach to prioritization of space debris for removal

As private companies and government space agencies begin to seriously consider the task of active space debris removal, it is becoming increasingly more important to determine the highest priority objects to deorbit. This work sets forth an approach for prioritization of space debris through the utilization of Multi-Criteria Decision-Making methodologies and fuzzy logic, as well as both quantitative and qualitative criteria. The proposed debris prioritization approach considers various criteria including the orbit, size, mass, pairwise and total collision probabilities, and decay timeframe of each debris object. The means of assigning attributes to each assessment criterion is discussed in detail. To determine the weighting scheme for the criteria, a questionnaire was prepared and shared with experts in the field of space situational awareness. The work examines over two thousand critical debris objects selected from the existing debris catalog with respect to these criteria. The quantified attributes for each debris object are then aggregated through the fuzzy versions of the Analytic Hierarchy Process and the Technique for Order Preference by Similarity to Ideal Solution. The results of the analysis identify high-priority debris objects for removal from Earth-bound orbits.     

两圆轨道之间双脉冲式最优转移的进一步讨论

按最优化理论讨论两圆轨道之间双脉冲式最优转移,给出了该问题的数学提法和定解方程,并就几个特例求得了问题的解。     

浅谈二阶微分方程通解中任意常数C的问题

本文对二阶微分方程通解中常数Ｃ的特殊情况作以简单探讨。     

基于层次分析法FDM工艺中分层方案的决策

在分析分层方案对阶梯效应、支撑结构、制作效率、变形等影响的基础上,提出采用层次分析法和模糊综合评判相结合的方法对加工零件的分层方案进行决策。通过对鼠标零件加工方案的验证,证明该方法有效地避免了决策的主观性,增加了决策的科学性,提高了原型件的制作质量和效率。     

矩阵方程（AX，XB）=（C，D）和AXB=C的对称正定解

讨论了矩阵方程（ＡＸ，ＸＢ）＝（Ｃ，Ｄ）和ＡＸＢ＝Ｃ的对称正定解。利用奇异值分解和广义奇异值分解导出了这些矩阵方程有对称正定解的充分必要条件，并且给出了一般对称正定解的表达式     

关于微分方程的有理式解的存性问题

许多非线性微分方程一般都是不可积的，例如Ｒｉｃｃａｔｉ方程。本文主要利用在文［４］中得到的一个定理，通过构造微分方程的线性算子的方法，得到了一个关于微分方程的算子矩阵，从这个算子矩阵向量的线性相关性得到了微分方程存在有理式解的充分必要条件，并举例给出求有理式解的具体方法。本文的结果对研究Ｒｉｃｃａｔｉ方程的特解以及可积性等问题具有重要意义，并推广了文［３］中收集的相应结果，且以此为特例     

具有Fuzzy约束的多目标规划解的稳定性

本文研究具有Ｆｕｚｚｙ约束的多目标规划解的稳定性。首先利用对称三角Ｆｕｚｚｙ数建立了带参数的Ｆｕｚｚｙ规划,然后讨论了其解集的一种稳定性,并得到了α－（弱）有效解对级数α是稳定的结果。