Small prime solutions of a pair of linear equations in five prime variables

Assume an additional congruent condition on the coefficients. We prove that the pair 5 of linear equations ∑j=1^5 αλjpj = bλ （λ= 1, 2） has solutions in primes pj satisfying pj 〈〈 （｜b1｜＋｜b2｜＋1） maxλ,j ｜αλj｜^2318＋ε. This improves the exponent 79680 without assuming the additional condition of the second author＇s.     

Dynamic graphs and continuous Boolean networks,II: Large-scale organic structures

In this paper, we propose a new method for constructing large-scale dynamic graphs. The procedure is based on the notion of graph entanglement, and involves “organic” operations such as self-replication and random mutations. Graphs obtained in this manner are globally asymptotically stable, and the simulation of their dynamics requires only a modest computational effort. As a result, they provide a suitable mathematical framework for studying the behavior of large-scale continuous Boolean networks.     

3阶幂图的广义导出匹配可扩性

A graph G is induced matching extendable if every induced matching of G is included in a perfect matching of G. A graph G is generalized induced matching extendable if every induced matching of G is included in a maximum matching of G. A graph G is claw-free, if G dose not contain any induced subgraph isomorphic to K1,3. The k-th power of G, denoted by Gu, is the graph with vertex set V（G） in which two vertices are adjacent if and only if the distance between them is at most k in G. In this paper we show that, if the maximum matchings of G and G3 have the same cardinality, then G3 is generalized induced matching extendable. We also show that this result is best possible. As a result, we show that if G is a connected claw-flee graph, then G3 is generalized induced matching extendable.     

广义Fitting模的扩张

In this paper, we study the closeness of strongly （∞）-hopfian properties under some constructions such as the ring of Morita context, direct products, triangular matrix, fraction ring etc. Also, we prove that if M[X] is strongly hopfian （resp. strongly co-hopfian） in R[X]-Mod, then M is strongly hopfian （resp. strongly co-hopfian） in R-Mod.     

中药重楼及其伪品开口箭的FTIR分析与鉴别

本文采用傅里叶变换红外光谱方法(FTIR)对中药材重楼及其伪品开口箭的红外光谱进行了测试及对比分析。研究表明,重楼和开口箭各自有其独特的红外光谱特征,二者各自所包含的红外吸收峰的峰位明显不同,二者的红外光谱的峰形整体上有非常明显的区别,特别是在1650cm-1处及1405～1258cm-1范围这两个地方二者的峰形有非常明显的区别。采用傅里叶变换红外光谱方法可对重楼及其伪品开口箭加以鉴别和区分。     

原子吸收光谱法测定污染土壤中铅和镉的形态

土壤重金属污染及其环境生态效应已成为人们关心的热点问题,土壤中重金属的赋存污染的研究是探讨重金属迁移规律和生物可利用性的前提.以江苏省南部某重金属污染稻田土壤为研究对象,采用BCR逐级提取—石墨炉原子吸收分光光度法对土壤中典型重金属铅、镉元素的形态分布特征进行了分析测定.石墨炉原子吸收分光光度法测定溶液中的铅、镉的校准曲线分别为A=0.036C(mg·L-1)+0.009、A=0.400C(mg·L-1)+0.020,相关系数(r)分别为0.9960和0.9890.污染土壤铅、镉元素含量分别为603.3mg·kg-1和21.8mg·kg-1;土壤中铅的赋存形态质量分数具有可还原态＞＞酸溶态＞残渣态＞可氧化态的分布规律,而镉则呈现酸溶态≌可还原态＞＞残渣态＞可氧化态的分布特征,说明土壤条件下的不同重金属元素能够呈现不同化学作用过程和机制,因此表现出不同程度的生物可利用性特征.     

热中子星r-mode 不稳定性的研究

理论上,不稳定的中子星r-mode 能辐射可探测的引力波。采用具有超软对称能的非对称核物质物态方程,并考虑非牛顿引力效应影响,数值计算了由于CFS(Chandrasekhar-Friedmann-Schutz) 不稳定性引起的年轻热中子星的r-mode 不稳定窗口,给出了引力辐射时标和耗散时标随温度的变化关系。利用中子星观测对非牛顿引力参数的约束,给出了热中子星在高温区不稳定窗口边界的约束,并发现较大的非牛顿引力参数对应着较宽的r-mode 不稳定窗口。研究结果可为地面引力辐射探测提供有意义的参考。Theoritically, instable r-mode in neutron star may radiate detectable gravitational waves. In this work,considering the non-Newtonian gravity proposed in the grand unification theories, we numerically calculate the CFS instabilities of r-mode s in the hot neutron stars by using an equation of state with super-soft symmetry energies. The changes of the gravitational radiation time scales and the viscous time scales versus the stellar temperatures are obtained.And according to the constraint of the neutron star observation on the parameter of non-Newtonian gravity, the constraint on the boundary of the instability window is also given. It is found that a stronger non-Newtonian gravity corresponds with a wider r-mode instability window. These results may provide interesting reference for the gravitational wave detection.     

选择性双向顺序压缩感知重建动态磁共振成像

压缩感知是一种新兴技术,该技术能够用远低于奈奎斯特采样频率采集的信号恢复出原始信号. 压缩感知成像方法大大提高了心脏磁共振成像的采集速度,已有的方法主要利用动态图像时间相关及心脏的周期性运动特征,如采用在时间维做傅立叶变换或求解每帧数据跟参考帧数据的差异获取稀疏数据,满足压缩感知重建的要求. 该文提出了选择性双向顺序压缩感知重建算法,利用相邻帧的差异更小的特点,获取更加稀疏的差异数据,同时利用动态图像的周期性,以目标函数积分为判据,在时间顺序和时间逆序两个方向选择效果更好的方向进行数据重建,降低图像伪影和噪声. 该选择算法,可以在不增加重建时间的情况下,选择双向顺序重建中最佳的结果. 该文对心脏磁共振图像数据进行了数据处理实验,并且跟传统压缩感知算法、参考帧差异方法及匙孔成像方法进行了比较. 结果表明：该方法无论从视觉效果还是从统计结果上,都有很大的改善.     

SOI多环级联光学谐振腔滤波器

利用MEMS工艺制备了基于SOI的小尺寸、高集成光波导多环级联谐振腔滤波器,理论分析了多环级联微环腔的光场传输特性与光谱响应特性,实验验证并得到了不同级联环数与谐振谱线滚降垂直度的关系。研究表明:当波导宽度为450 nm、半径为5μm时,单环、双环和十环滤波器响应谱线的-3 dB带宽分别为0.313,0.279,0.239 nm,相应结果与理论吻合,即随着级联环数的增多,谐振谱线顶端趋于平坦,滚降垂直度增高。设计制备了环形与跑道形两种级联谐振腔滤波器,研究了相应的透射谱特性。     

场景轮廓的动态规划立体匹配算法

立体匹配算法是三维重建的关键步骤。由于实际场景中经常存在大片灰度相近的区域,稠密三维重建存在计算时间长、实时性差的问题。采用了场景的轮廓来重建场景的方法。基于场景中相邻点之间的视差应当是连续的假设,解决了轮廓在匹配时存在的"噪点"的问题,利用动态规划法对轮廓上各个点的视差进行约束以及求解最优解。由于提取轮廓后需要匹配的点数大为减少,用时可减少为原来的10%,得到与场景一致的轮廓视差图。