给定最大匹配数的树的零阶广义Randi指标

图G的零阶广义Randi指标定义为0Rα(G)=v∈V(G)d(v)α,其中d(v)为图G的顶点v的度,α为任意实数.研究了树的零阶广义Rα指标的极值问题,利用分析和图的理论,确定了任意给定最大匹配数的树的最大和最小Rα的值,并刻画了达到该极值的树

三角格上的σ全一问题

主要研究三角格上的σ全一问题.应用图论知识,利用数学归纳法,分别给出了以三角形,菱形(四边形)和正六边形为边界的三角格上的σ全一问题无解的充要条件,并在证明中给出有解情况下详细解的刻画

用水氯镁石制备单分散六角片状氢氧化镁

用水氯镁石为原料,氢氧化钠为沉淀剂,常压下合成氢氧化镁,在不加入任何改性剂的条件下,对反应后的料浆进行水热处理,并用扫描电镜(SEM)、X射线衍射仪(XRD)和激光粒度仪表征所得产品的形貌、结构及粒度分布,主要考察了水热反应时间和水热反应温度对氢氧化镁产品的影响.结果表明:在120℃水热4h条件下的过滤速率是未经水热条件下过滤速率的8倍,在200℃水热4h条件下的过滤速率是未经水热条件下过滤速率的13倍;在200℃,水热反应6h时所得的粒度分布已达到最佳分布状态;随着反应时间和水热温度的增加,晶体的生长方向有所改变,所得产物团聚现象不再明显,形貌也由无规则片状结构转化为规则的六角片状结构,氢氧化镁薄片的边界越来越清晰,厚度也逐渐增加

中亚增生造山演化与成矿预测应用研究

本成果结合中亚增生造山带的基本特征,以解剖增生楔的组成、构造样式和时代及其时空分布规律为切入点,在全球最大的增生造山带的一些关键薄弱环节进行构造解析和年代学分析,全面理解增生造山作用和其所蕴含的大陆动力学意义,建立中亚成矿域的大陆动力学与成矿系统演化模型,在此基础上开展大型矿集区预测,建立大型矿集区预测的理论和方法技术平台,为中亚成矿域找矿工作提供理论基础和技术支撑。 本成果主要创新点： (1)通过对增生楔岩石的物质成分分析,岩石组合分析以及高精度的地质年代学测试阐明其大地构造背景和演化历史,从空间和时间两个方面构建了大陆边缘增生构造带的精细结构,集约古生代的俯冲增生过程与..

JUNO Sensitivity on Proton Decay p→νˉK+p\to \bar\nu K^+ Searches

The Jiangmen Underground Neutrino Observatory (JUNO) is a large liquid scintillator detector designed to explore many topics in fundamental physics. In this paper, the potential on searching for proton decay in $p\to \bar\nu K^+$ mode with JUNO is investigated.The kaon and its decay particles feature a clear three-fold coincidence signature that results in a high efficiency for identification. Moreover, the excellent energy resolution of JUNO permits to suppress the sizable background caused by other delayed signals. Based on these advantages, the detection efficiency for the proton decay via $p\to \bar\nu K^+$ is 36.9% with a background level of 0.2 events after 10 years of data taking. The estimated sensitivity based on 200 kton-years exposure is $9.6 \times 10^{33}$ years, competitive with the current best limits on the proton lifetime in this channel

JUNO sensitivity on proton decay p → ν K + searches*

The Jiangmen Underground Neutrino Observatory (JUNO) is a large liquid scintillator detector designed to explore many topics in fundamental physics. In this study, the potential of searching for proton decay in the $p\to \bar{\nu} K^+$ mode with JUNO is investigated. The kaon and its decay particles feature a clear three-fold coincidence signature that results in a high efficiency for identification. Moreover, the excellent energy resolution of JUNO permits suppression of the sizable background caused by other delayed signals. Based on these advantages, the detection efficiency for the proton decay via $p\to \bar{\nu} K^+$ is 36.9% ± 4.9% with a background level of $0.2\pm 0.05({\rm syst})\pm$$0.2({\rm stat})$ events after 10 years of data collection. The estimated sensitivity based on 200 kton-years of exposure is $9.6 \times 10^{33}$ years, which is competitive with the current best limits on the proton lifetime in this channel and complements the use of different detection technologies