Topological textures and their bifurcation processes in 2D ferromagnetic thin films

In this paper, by the use of the topological current theory, the topological structures and the dynamic processes in thin-film ferromagnetic systems are investigated directly from the viewpoint of topology. It is found that the topological charge of a thin-film ferromagnetic system can be changed by annihilation or creation processes of opposite polarized vortex–antivortex pairs taking place at space–time singularities of the normalized magnetization vector field of the system, the variation of the topological charge is integer and can further be expressed in terms of the Hopf indices and Brouwer degrees of the magnetization vector field around the singularities. Moreover, the change of the topological charge of the system is crucial to vortex core reversal processes in ferromagnetic thin films. With the help of the topological current theory and implicit function theorem, the processes of vortex merging, splitting as well as vortex core reversal are discussed in detail.     

A carbon risk prediction model for Chinese heavy-polluting industrial enterprises based on support vector machine

Chinese heavy-polluting industrial enterprises, especially petrochemical or chemical industry, labeled low carbon efficiency and high emission load, are facing the tremendous pressure of emission reduction under the background of global shortage of energy supply and constrain of carbon emission. However, due to the limited amount of theoretic and practical research in this field, problems like lacking prediction indicators or models, and the quantified standard of carbon risk remain unsolved. In this paper, the connotation of carbon risk and an assessment index system for Chinese heavy-polluting industrial enterprises (eg. coal enterprise, petrochemical enterprises, chemical enterprises et al.) based on support vector machine are presented. By using several heavy-polluting industrial enterprises’ related data, SVM model is trained to predict the carbon risk level of a specific enterprise, which allows the enterprise to identify and manage its carbon risks. The result shows that this method can predict enterprise’s carbon risk level in an efficient, accurate way with high practical application and generalization value.     

关于中紧性的注记

本文利用良序单调复盖、内部保持复盖、次ｏｒｔｈｏ－紧及垫状加细等刻画了中紧性。其次，证明了空间是中紧的当且仅当它是中可膨胀的且具胡性质ｂ。它们分别改进了文献［１］、［２］的相应结果。     

The Hidden Symmetries and Their Algebraic Structure of the Static Axially Symmetric SDYM Fields

A new explicit transformation about the static axially symmetric self-dual Yang-Mills(SDYM) fields is presented.The theory has proved that the new transformation is a symmetric one.For the two kinds of the Lie algebraic generators of the Lie group SL (N.R)/SO(N),the corresponding transformations are given.By making use of the Yang-Baxter equality and their square brackets we have obtained the Loop and comformal algebraic structures of the symmetric transformations for the basic fields.All the results obtained in this paper can be directly generalized to the other models.     

Tight Multiwavelet Frames with Different Matrix Dilations and Matrix Translations

The characterization of tight multiwavelet frames with different matrix dilations and matrix translations for L ²(R ^d ) is established. The result contains and further extends the generalizations that have appeared in the literature. Two sufficient conditions for affine frames are also presented.     

An interval-parameter fuzzy two-stage stochastic program for water resources management under uncertainty

This study presents an interval-parameter fuzzy two-stage stochastic programming (IFTSP) method for the planning of water-resources-management systems under uncertainty. The model is derived by incorporating the concepts of interval-parameter and fuzzy programming techniques within a two-stage stochastic optimization framework. The approach has two major advantages in comparison to other optimization techniques. Firstly, the IFTSP method can incorporate pre-defined water policies directly into its optimization process and, secondly, it can readily integrate inherent system uncertainties expressed not only as possibility and probability distributions but also as discrete intervals directly into its solution procedure. The IFTSP process is applied to an earlier case study of regional water resources management and it is demonstrated how the method efficiently produces stable solutions together with different risk levels of violating pre-established allocation criteria. In addition, a variety of decision alternatives are generated under different combinations of water shortage.     

The electrochemical insertion properties of sodium vanadium fluorophosphate,Na3V2(PO4)2F3

The structural and alkali ion insertion characteristics of sodium vanadium fluorophosphate, Na₃V₂(PO₄)₂F₃ are presented. The material was prepared using a solid-state carbothermal reduction approach involving the precursors VPO₄ and NaF. Electrochemical characterization of the Na₃V₂(PO₄)₂F₃ phase in the potential range 3.0–4.6 V vs. Li, revealed a structured voltage response corresponding to the reversible cycling of two alkali ions per formula unit. The associated specific capacity was around 120 mAh/g, at an average discharge voltage of around 4.1 V vs. Li. The stability of the alkali ion insertion reactions was confirmed by long term cycling experiments, which demonstrated low capacity fade over the initial 220 cycles. Voltage excursions to 5 V vs. Li suggest that all three Na ions may be successfully extracted from the fluorophosphate phase, although this process is likely accompanied by some concurrent structural degradation.     

The Strong Coupling SU(3) Limit in IBM4

When the IBM is generalized and used to the case of light nuclei,it is called IBM4.In this paper,for the following group chain of the IBM4 U(36)U₆(sd)×U₆(ST) SU₃(sd)×SU₃(S)×SU₃(T) SU₃(sdS)×SU₃(T)× O₃(J)× O₃(T) the reduction rules,typical energy spectra and E2 transitions are discussed.Using this strong coupling SU(3) limit,the nuclei in sd shell are classified.