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).     

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.     

Mindlin层合圆柱壳理论的Hamiltonian结构与辛解析解

通过引进状态变量及其对偶变量。建立Ｍｉｎｄｌｉｎ层合圆柱壳的Ｈａｍｉｌｔｏｎ正则方程．在辛几何数学框架下，采用共轭辛正交归一关系给出各种复杂边界条件下的精确解．     

Finding global minima with a new dynamical evolutionary algorithm

A new dynamical evolutionary algorithm (DEA) based on the theory of statistical mechanics is presented. This algorithm is very different from the traditional evolutionary algorithm and the two novel features are the unique of selecting strategy and the determination of individuals that are selected to crossover and mutate. We use DEA to solve a lot of global optimization problems that are nonlinear, multimodal and multidimensional and obtain satisfactory results. Foundation item: Supported by the National Natural Science Foundation of China (No. 60133010, NO. 60073043 and No. 700/1042) Biography: Zou Xiu-fen(1996-), female, Ph. D candidate, Associate professor, research direction: evolutionary computing, parallel computing.     

On the Foundations of Constructive Mathematics – Especially in Relation to the Theory of Continuous Functions

We discuss the foundations of constructive mathematics, including recursive mathematics and intuitionism, in relation to classical mathematics. There are connections with the foundations of physics, due to the way in which the different branches of mathematics reflect reality. Many different axioms and their interrelationship are discussed. We show that there is a fundamental problem in BISH (Bishop’s school of constructive mathematics) with regard to its current definition of ‘continuous function’. This problem is closely related to the definition in BISH of ‘locally compact’. Possible approaches to this problem are discussed. Topology seems to be a key to understanding many issues. We offer several new simplifying axioms, which can form bridges between the various branches of constructive mathematics and classical mathematics (‘reuniting the antipodes’). We give a simplification of basic intuitionistic theory, especially with regard to so-called ‘bar induction’. We then plead for a limited number of axiomatic systems, which differentiate between the various branches of mathematics. Finally, in the appendix we offer BISH an elegant topological definition of ‘locally compact’, which unlike the current definition is equivalent to the usual classical and/or intuitionistic definition in classical and intuitionistic mathematics, respectively.     

水白菜在万峰湖水域生活习性的研究

2005年入春以来水白菜在万峰湖大规模生长，堵塞了万峰湖风景区上段水域，已严重影响了当地的水产养殖和观光旅游。研究水白菜的生活习性，防止它在万峰湖水域大规模生长和泛滥成灾，以变废为宝，促进物种的科学引进。     

A novel mechanism for jumping in the indian ant<Emphasis Type="Italic">Harpegnathos saltator</Emphasis> (Jerdon) (Formicidae,Ponerinae)

The Indian antHarpegnathos saltator may be unique among insects in using its jumping capacity not only as an escape mechanism but also as a normal means of locomotion, and for catching its prey in flight. High-speed cinematography used to analyse the various phases of the jump suggests thatHarpegnathos employs a novel jumping mechanism to mediate these behaviours: namely the synchronous activation of its middle and hindlegs. Electrophysiological recordings from muscles or nerves in pairs of middle and hindlegs show remarkably synchronous activity during fictive jumping, supporting the synchronous activation hypothesis.Harpegnathos is not the only ant to jump, and a cladistic analysis suggests that jumping behaviour evolved independently three times during ant evolutionary history.     

抗人绒毛膜促性腺激素（HCG）单克隆抗体的研制和特性分析

以HCG为抗原,免疫BALB/c小鼠,取其脾细胞与小鼠Sp2/0—Ag14骨髓瘤细胞融合,经反复筛选和再克隆化,获得8株能稳定分泌抗HCG特异单克隆抗体的杂交瘤细胞株。对其中6个高效价单抗进行了特异性和抗原决定簇检测,选出两个抗相距较远不同决定簇的单抗(2D_4,4F_4)作进一步特性分析。结果显示:免疫球蛋白亚类鉴定,2D_4为IgGl亚类,4F_4为IgG2a亚类;亲和力常数(K_(affi)),2D_4为5.41±0.94×10~(-10)mol/L,4F_4为1.37±0.33×10~(-9)mol/L。证实该两种单克隆抗体可用于研制有关临床诊断试剂盒。     

白腐菌降解氯代农药的机理

确定了白腐菌在水中的静置培养条件,探讨了在该条件下白腐菌对水中微量氯代农药的生物降解情况及其降解机理．实验结果表明,白腐菌在含有ρ为０．０２％的葡萄糖、０．０３％的酒石酸铵和适量无机盐的培养液中,于３５℃,经５～７ｄ的静置培养可获得良好的菌丝,并对氯代农药有最大的降解效率（９０％以上）．对降解的部分中间产物的ＧＣ－ＭＳ分析表明,不同类氯代农药有不同的降解过程和机理