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.     

自然数同次幂级数求和的方法

本文利用微积分方法，推导出自然数同政幂级数的求和公式。     

带观测器的电液力伺服变极点数控系统的设计

本文在阐述变极点最优控制原理及其在电液力伺服系统中的实施之基础上，又进行了变极点控制的离散化处理和离散降维观测器对系统的状态重构，解决了系统稳定性与响应速度的矛盾，为该系统微机控制软、硬件的实观奠定了理论基础     

半参数模型约束条件下估计量的统计诊断

利用最小惩罚二乘原理构造加权惩罚平方和，导出了约束条件下，半参数模型中正规化矩阵正定时半参数平差的计算方法，用直接法得到了参数和半参数的估计量，并将此方法引入测绘领域，给出了相应的公式。     

氨基膦酸羧酸螯合树脂的合成及其对痕量镧系稀土富集分离性能的研究

简要叙述了氨基膦酸羧酸树脂的合成路线 ,用 ICP- AES对其富集分离痕量镧系稀土元素进行了研究 ,讨论了吸附酸度、洗脱、吸附流速以及共存离子干扰等的影响 ,并进行了实际样品的分析 ,获得了满意的结果 .     

CH_3COONa·3H_2O-Na_2SO_4·10H_2O截面

用步冷曲线法和DSC法测定了CH_3COONa·3H_2O-Na_2SO_4·10H_2O截面,得到了体系的多温图。结果表明,此截面的两条三次结晶水平线的温度值分别为: 液+Na_2SO_4(?)Na_2SO_4·10H_2O+CH_3COONa·3H_2O_2:18.2℃; 液+CH_3COONa(?)Na_2SO_4+CH_3COONa·3H_2O:58.1℃。