中国古代地图及其演变

中国是四大文明古国之一，地图作为人们认识世界、改造世界，从事各种社会活动的工具，同其他文化一祥有着悠久的历史。我国古代地图的发展大体上经历了原始地图、古典地图和实测地图三个阶段，制图工艺不断提高，制图理论日趋完善，其间出现了很多著名的地图学家，极大的推动了我国古代地图的发展，在世界地图学史上作出了重大的贡献。     

Reconstruction of linkage maps in the distorted segregation populations of backcross, doubled haploid and recombinant inbred lines

Non-Mendelian segregation of markers, known as distorted segregation, is a common biological phenomenon. Although segregation distortion affects the estimation of map distances and the results of quantitative trait loci (QTL) mapping, the effects of distorted markers are often ignored in the construction of linkage maps and in QTL mapping. Recently, we have developed a multipoint method via a Hidden Markov chain method to reconstruct linkage maps in an F2 population that corrects for bias of map distances between distorted markers. In this article, the method is extended to cover backcross, doubled haploid and recombinant inbred line (RIL) populations. The results from simulated experiments show that: (1) the degree that two linked segregation distortion loci (SDL) affect the estimation of map distances increases as SDL heritability and interval length between adjacent markers increase, whereas sample size has little effect on the bias; (2) two linked SDL result in the underesti- mation of linkage distances for most cases, overestimation for an additive model with opposite additive effects, and unbiased estimation for an epistatic model with negative additive-by-additive effects; (3) the proposed method can obtain the unbiased estimation of linkage distance. This new method was applied to a rice RIL population with severely distorted segregation to reconstruct the linkage maps, and a bootstrap method was used to obtain 95% confidence intervals of map distances. The results from real data analysis further demonstrate the utility of our method, which provides a foundation for the inheritance analysis of quantitative and viability traits.     

自伴算子空间上满足[φ(A~2),A]+[A~2,φ(A)]=0的可加映射

运用算子论的方法,研究了自伴算子空间上满足[φ(A2),A]+[A2,φ(A)]=0的可加映射。如果可加映射φ:Bs(H)→Bs(H)满足对所有A∈Bs(H)有[φ(A2),A]+[A2,φ(A)]=0,那么存在λ∈R,可加映射f:Bs(H)→R,以及算子K∈Bs(H),使得对所有A∈Bs(H)有φ(A)=iAK-iKA+λA+f(A)I。即自伴算子空间上满足[φ(A2),A]+[A2,φ(A)]=0的可加映射是导子与可交换映射之和。     

具有限时滞的混合型脉冲泛函微分包含

利用集值映射的不动点定理得到具有限时滞的混合型脉冲泛函微分包含温和解的存在性结果,改进和推广了已有的一些结果.     

混合单调映象的耦合不动点及其迭代定理

在半序Banach空间中,取消对导出半序的雄或者映象的连续性的限制的情况下,获得了两类非连续混合单调映象的耦合不动点定理．     

Differential Coherent Algorithm Based on Fast Navigation-Bit Correction for Airborne GNSS-R Software Receivers

Signals from the Global Navigation Satellite System (GNSS) scatter over the sea surface resulting in relatively low Signal-to-Noise Ratios (SNR). A differential coherent algorithm is given here to improve the SNR and reduce the performance degradation due to the Squaring-Loss and the navigation-bit effect. The algorithm uses fast navigation-bit correction for Delay-Doppler Maps (DDM) in airborne Global Navigation Satellite Signal Reflectometry (GNSS-R) software receivers. The system model is introduced with an analysis of the statistical properties with simulations to support the theoretical analysis. Field experiments with real airborne receivers then demonstrate the effectiveness of this algorithm. Comparisons with test results show that this algorithm offers a significant SNR gain over conventional algorithms.     

基于DEM电子地图的三维量算模型

针对普通电子地图中很难对地图要素进行三维量测的问题，提出了基于DEM的电子地图的概念。它实现了三维的DEM和二维的电子地图的垂直集成。两者优势互补，不仅极大地提高了电子地图的空间表现能力和量算水平，还大大地扩展了对DEM的应用潜力。探讨了用格网DEM与电子地图的集成方法，重点探讨了在基于格网DEM的电子地图上进行三维量算的数学模型。     

计算二维映射符号动力学和拓扑熵的方法

本文用从Hamilton量得到耗散映射轨道的方法,定义了动力学方程,建立了二维映射的符号动力学;从拓扑熵的定义,通过计算二维映射的不稳定周期轨道数,得到了拓扑熵,并以Henon映射为例,具体得到了该映射的符号动力学和拓扑熵。     

关于双参数量子代数SU_（qs）（2）和双参数形变谐振子的若干结果

本文构造了双参数形变量子代数ＳＵ_（ｑｓ）（２）的Ｈｏｌｓｔｅｉｎ－Ｐｒｉｍａｋｏｆｆ实现和Ｎｏｄｖｉｋ实现，并给出了量子代数ＳＵ_（ｑｓ）（２）和双参数形变谐振子的映射。     

用于语音识别中的SOFM矢量量化方法

该文讨论了神经网络语音识别系统中的ＫｏｈｏｎｅｎＳＯＦＭ神经网络的矢量量化（ＶＱ）的原理与过程,着重解决了其在实际应用时的若干问题,包括网络大小,学习步幅函数以及矢量量化过程中的公平竞争学习的控制函数的选定。过讨论了基于听觉模型的声学特性的提取与处理,这与ＶＱ性能息息相关。系统应用的实验表明,该神经网络在语音识别系统中具有良好性能。