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.     

一个Markov转移概率函数的确定

利用柯尔莫哥洛夫向前方程计算了电话呼唤次数的随机过程的转移概率函数。     

应用测力—落刀装置对积屑瘤、鳞刺的研究

本文研制了一种测力—落刀装置,对积屑瘤和鳞剌的某些问题进行了试验研究。结果表明:在积屑瘤存在的区域内,由于刀具实际前角的增加,以及切屑与积屑瘤的接触长度小于自然接触长度,从而导致了切削力的降低。积屑瘤不是整体稳定不变的,也不是高频地整体脱落后再重新生长。而是基体比较稳定,头部产生高频的分裂、成长,其分裂的部分留在工件表面成为鳞剌,同时,引起了切削力的较大波动。切削力动态分量越大,相应的鳞剌高度越高。     

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.     

祁县--临汾高速公路煤矿采空区处治工程总结

以山西省祁县-临汾高速公路煤矿采空区处治工程Ⅱ标段为例,对煤矿采空区处治工程中的注浆施工顺序、单孔注浆量预测、注浆质量监控等施工环节进行了分析总结,并提出建议.     

西酞普兰与舒乐安定治疗广泛性焦虑临床研究对照

目的比较西酞普兰与舒乐安定的抗焦虑效果和副作用.方法符合CCMD-3广泛性焦虑诊断标准60例,随机分为研究组(西酞普兰组)与对照组(舒乐安定组);用汉米尔顿焦虑量表(HAMA)评定症状变化,用TESS评定副反应,疗程6周.结果研究组显效率76.67%,有效率93.33%;对照组显效率73.33%,有效率90.00%,两组疗效无显著差异.研究组副作用有恶心、口干、嗜睡、头痛、便秘,以头痛、呕心、口干为最常见的不良事件.结论西酞普兰治疗广泛性焦虑效果较好,副反应轻.     

安装误差对正交弧齿锥齿轮副接触区影响的分析

本文从理论上分析了正交弧齿锥齿轮副的各种安装误差对啮合接触区的单独影响和综合影响,建立了安装误差作用下齿面接触区的数学模型,并通过具体实例讨论了各项安装误差对啮合接触区单独影响和综合影响的程度以及综合影响的“叠加效应”和“互补效应”,提出了满足接触要求前提下降低安装要求的措施.     

光学兼容红外伪装涂料研究进展

当前侦察设备波段宽、分辨率高,具备全天候、全天时侦察能力,对现有武器装备的伪装提出了挑战。伪装涂料采用功能颜、填料,通过一定的制备、施工工艺涂覆在目标表面,在不影响武器装备战场机动性能的前提下实现武器装备的伪装,是目前最有效的伪装技术手段之一。在阐述光学伪装涂料、红外伪装涂料、光学兼容红外伪装涂料伪装机理的基础上,梳理了3种伪装涂料技术的研究进展,总结了3种伪装涂料的技术特点和存在的问题,对伪装涂料技术今后的发展进行了展望,提出了发展光学兼容红外伪装涂料的技术实现途径,为有效对抗日益发展的先进侦察技术,满足战场伪装需求提供了方法指导。