Banach空间上的算子幂级数理论

本文提出了Banach空间中的一种幂级数模式一算子幂级数。以此为起点,希冀能建立Banach空间中的算子幂级数理论,并使之成为Banach空间级数理论中的一个组成部分[8],[9],[10]。文中例子表明,经典幂级数理论大体上在本文算子幂级数有关定理中得到了相当的反映。本文定理12给出了一个新的不动点定理。     

Compositional maps of Saturn's moon Phoebe from imaging spectroscopy

The origin of Phoebe, which is the outermost large satellite of Saturn, is of particular interest because its inclined, retrograde orbit suggests that it was gravitationally captured by Saturn, having accreted outside the region of the solar nebula in which Saturn formed. By contrast, Saturn's regular satellites (with prograde, low-inclination, circular orbits) probably accreted within the sub-nebula in which Saturn itself formed. Here we report imaging spectroscopy of Phoebe resulting from the Cassini-Huygens spacecraft encounter on 11 June 2004. We mapped ferrous-iron-bearing minerals, bound water, trapped CO2, probable phyllosilicates, organics, nitriles and cyanide compounds. Detection of these compounds on Phoebe makes it one of the most compositionally diverse objects yet observed in our Solar System. It is likely that Phoebe's surface contains primitive materials from the outer Solar System, indicating a surface of cometary origin.     

HLA-DR antigens on lymphoid cells differ from those on myeloid cells

The human HLA-D region-related loci encode antigens which are structurally homologous and functionally analogous to the murine Ia molecules in mice. In addition to a role in immune regulation, it has been shown that the human D region-associated molecules are expressed on immature haematopoietic precursors and may also be involved in the regulation of haematopoiesis. Here we present evidence that distinct 'Ia-like' antigens are found on different haematopoietic cells. Approximately half of the Ia-like molecules expressed by B cells and activated T cells have an 'epitope' which is unique to lymphocytes and is not detectable on the Ia-like molecules of haematopoietic precursors or monocytes. This kind of lineage-restricted variation in Ia expression is a potential basis for selective compartmentalization and regulation of DR-associated function.     

探讨使用野外随机取样推断随机变量概率分布的数学方法--杂草研究作为一个例子

我们在生态学研究中涉及到的大多数变量呈现出随机性,因而可以认为它们就是随机变量.概率分布是研究随机变量变化规律的基础,如何利用野外取样来推断检验随机变量的分布是本文要解决的主要问题.本文扩展了回归方法的应用,使其能用来推断一个随机变量的分布函数,并且该推断还能被统计检验.作为一个应用实例,该方法被用于确定杂草种子在特定条件下扩散的分布函数.在此条件下,该杂草种子扩散为近似的高斯(正态)分布.     

Globally Optimal Clusterwise Regression By Column Generation Enhanced with Heuristics,Sequencing and Ending Subset Optimization

A column generation based approach is proposed for solving the cluster-wise regression problem. The proposed strategy relies firstly on several efficient heuristic strategies to insert columns into the restricted master problem. If these heuristics fail to identify an improving column, an exhaustive search is performed starting with incrementally larger ending subsets, all the while iteratively performing heuristic optimization to ensure a proper balance of exact and heuristic optimization. Additionally, observations are sequenced by their dual variables and by their inclusion in joint pair branching rules. The proposed strategy is shown to outperform the best known alternative (BBHSE) when the number of clusters is greater than three. Additionally, the current work further demonstrates and expands the successful use of the new paradigm of using incrementally larger ending subsets to strengthen the lower bounds of a branch and bound search as pioneered by Brusco's Repetitive Branch and Bound Algorithm (RBBA).     

Localization of the c-ab1 oncogene adjacent to a translocation break point in chronic myelocytic leukaemia

The human c-ab1 oncogene maps within the region (q34-qter) of chromosome 9 which is translocated to chromosome 22, the Philadelphia (Ph') chromosome, in chronic myelocytic leukaemia (CML). The position of the Ph' chromosomal break point is shown to be variable and, in one CML patient, has been localized immediately 5' of, or within, the c-ab1 oncogene. A DNA restriction fragment corresponding to this site has been molecularly cloned and shown to represent a chimaeric fragment of DNA from chromosomes 9 and 22.     

Plate-wide stress relaxation explains European Palaeocene basin inversions

During Late Cretaceous and Cenozoic times, many Palaeozoic and Mesozoic rifts and basin structures in the interior of the European continent underwent several phases of inversion (the process of shortening a previously extensional basin). The main phases occurred during the Late Cretaceous and Middle Palaeocene, and have been previously explained by pulses of compression, mainly from the Alpine orogen. Here we show that the main phases differed both in structural style and cause. The Cretaceous phase was characterized by narrow uplift zones, reverse activation of faults, crustal shortening, and the formation of asymmetric marginal troughs. In contrast, the Middle Palaeocene phase was characterized by dome-like uplift of a wider area with only mild fault movements, and formation of more distal and shallow marginal troughs. A simple flexural model explains how domal, secondary inversion follows inevitably from primary, convergence-related inversion on relaxation of the in-plane tectonic stress. The onset of relaxation inversions was plate-wide and simultaneous, and may have been triggered by stress changes caused by elevation of the North Atlantic lithosphere by the Iceland plume or the drop in the north-south convergence rate between Africa and Europe.     

适用于煤层气井的潜在酸压裂液研究

据目前的统计资料表明,我国煤层气资源总量约为36.8×1012m3,可采储量为10.9×1012m3,开采潜力巨大。以沁水盆地3#煤层为例,对煤层割理特征、孔缝填充物赋存状态及类型、酸液对煤岩孔缝中的充填物溶蚀情况进行了研究。得出3#煤层主要发育两组割理系统,裂隙多为方解石充填,可通过有机酸酸化解除部分填充物对煤岩孔缝的堵塞。根据煤岩可酸化的性能特征研究出了适用于煤层气井的潜在酸压裂液。实验表明:压裂液p H在1 h后才趋于稳定,3 h时p H可降至最低(1);对煤粉的平均溶蚀率为3.48%,且具有较好的缓速性能;抗剪切性能好,2 h时表观黏度仍高于35 m Pa·s;破胶液对煤心的渗透率伤害率10%。现场应用5口井,施工曲线表明,该潜在酸压裂液能降施工压力,提高施工成功率;微地震监测结果表明,该潜在酸压裂液能够实现储层深度改造。