Global Optimization in Any Minkowski Metric: A Permutation-Translation Simulated Annealing Algorithm for Multidimensional Scaling

It is well known that considering a non-Euclidean Minkowski metric in Multidimensional Scaling, either for the distance model or for the loss function, increases the computational problem of local minima considerably. In this paper, we propose an algorithm in which both the loss function and the composition rule can be considered in any Minkowski metric, using a multivariate randomly alternating Simulated Annealing procedure with permutation and translation phases. The algorithm has been implemented in Fortran and tested over classical and simulated data matrices with sizes up to 200 objects. A study has been carried out with some of the common loss functions to determine the most suitable values for the main parameters. The experimental results confirm the theoretical expectation that Simulated Annealing is a suitable strategy to deal by itself with the optimization problems in Multidimensional Scaling, in particular for City-Block, Euclidean and Infinity metrics.     

A non-commutative time-frequency tomography

The characterization of non-stationary signal requires joint time and frequency information. However, time and frequency are a pair of non-commuting variables that cannot constitute a joint probability density in the time-frequency plane. The time-frequency distributions have difficult interpretation problems arising from negative and complex values or spurious components. In this paper, we get time-frequency information from the marginal distributions in rotated directions in the time-frequency plane. The rigorous probability interpretation of the marginal distributions is without any ambiguities. This time-frequency transformation is similar to the computerized axial tomography (CT or CAT) and is applied to signal analysis and signal detection and reveals a lot of advantages especially in the signal detection of the low signal/noise (S/N).     

Conflict Pattern Analysis: Preparing the Ground for Participation in Policy Implementation

The participation of non-state actors in implementation processes is often understood as a means to increase compliance efficiency. But the implementation of spatial policies frequently focuses on pre-established goals, processes and instruments and thus renders difficult open discourse and shared decision-making. This paper introduces conflict pattern analysis (CPA) as a tool that supports the analysis of the actual actor constellation in order to define efficient approaches that avoid common problems of participatory processes. CPA is a semi-formalised method that helps to identify key-actors, their relations and interaction amongst each other as well as their core beliefs, interests and resources. It aggregates this information to interaction patterns that can be compared, classified and linked to different participatory methods on a theoretically informed basis. Particularly on the local and regional level, this could be the first step for successful (participatory) implementation strategies.     

ROLE OF α-PSEUDO-UNIVEX FUNCTIONS IN VECTOR VARIATIONAL-LIKE INEQUALITY PROBLEMS

In this paper, we introduce a new class of generalized convex function, namely, a-pseudounivex function, by combining the concepts of pseudo-univex and α-invex functions. Further, we establish some relationships between vector variational-like inequality problems and vector optimization problems under the assumptions of α-pseudo-univex functions. Results obtained in this paper present a refinement and improvement of previously known results.     

A theoretical model for mid-and low-latitude ionospheric electric fields in realistic geomagnetic fields

The geomagnetic fields, which play important roles in the ionospheric dynamo, can greatly affect the global distribution of ionospheric electric fields, currents and other ionospheric electrodynamics phenomena. In the study of ionospheric electrodynamics phenomena, such as the longitudinal variations of ionospheric electric fields, the non-dipolar component of the geomagnetic fields must be taken into account. In this paper, we deduce a theoretical electric field model for ionospheric dynamo at mid- and low-latitude which adopt a modified magnetic apex coordinates system. In the new electric field model, the geomagnetic fields can be calculated from either the IGRF model or the dipole field model, and the neutral winds and conductivities are calculated based on empirical models. Then the dynamo equation for the electric potential is finally solved in terms of the line-by-line iteration method, and the ionospheric electric fields and currents are derived from the calculated potential. Our model can reproduce the main features of the ionospheric electrodynamics processes, so it will be a useful tool for the investigation of the upper atmosphere and ionosphere.     

硫酸钾水溶液热力学性质的研究

用钾离子选择性电极测定硫酸钾水溶液中缔合反应在不同温度、不同离子强度时△H°、△G°、△S°.     

双核铕－邻甲基苯甲酸－邻菲罗啉三元配合物的晶体结构

双核铕－邻甲基苯甲酸－邻菲罗啉三元配合物的晶体结构王瑞芬，王明昭，金林培，蔡冠梁（北京师范大学化学系，１００８７５，北京；解放军防化指挥工程学院，１０２２０５，北京；第一作者，４４岁，女，副教授）关键词铕；三元配合物；晶体结构分类号Ｏ７４１．６；Ｏ６...     

甲酸甲酯水解固体超强酸催化剂的研究

固体超强酸作甲酸甲酯水解转化率和对甲酸的催化剂、进料速度、反应温度对甲酸甲酯水解转化率和对甲酸出口浓度的影响，当原料水与酯的摩尔比为１、反应温度１００℃、原料与催化剂的接触时间为１６ｍｉｎ时，甲酸甲酯的转化率为２４．６％（甲酸的出口浓度达１４．５％）。     

高、低感觉寻求者的心理差异比较及在教学中的应用

通过对360名大学生进行随机抽样，经过朱克曼的感觉寻求量表SSS－V测定，从中挑选出高、低感觉寻求各30名，比较研究两心理差异，旨在为体育教学改革提供一定的参考依据。     

高精度星形轮廓面数控加工方法研究

本文提出了计算星形轮廓面数控加工刀位的插补方法和刀具半径补偿方法，以及决定加工方法误差大小的走刀步长和刀具半径的确定准则，从而建立了该曲面的加工方法其理论加工精度为１μｍ．进给速度相对误差小于１％，在３３ＭＨＺ８０３８６ＣＰＵ（带８０３８７协处理器）上每计算一次刀位占用机时小于１．２ｍｓ．具有精度高和实时性好的特点．