正六边形二维场域电位的有限差分算法

以正六边形二维场域为例,建立了正三角形网格划分的有限差分法的计算模型,并通过MATLAB编程得到场域内电位分布的数值解和相应图形,对有限差分法的计算处理进行了讨论和分析.     

聚甲基丙烯酸甲酯大单体与苯乙烯共聚合动力学研究

合成了端基为甲基丙烯酸酯的四种不同分子量的聚甲基丙烯酸甲酯大单体(M_1),分别与苯乙烯(M_2)共聚,用GPC方法和称重法测定共聚数据,以Kelen—Tüd■s方法进行处理。结果表明,此体系不符合Mayo-Lewis方程。而共聚机理分析说明式r′_2=ln([M_2]_0/[M_2])/In([M_1]_0/[M_0])仍可描述此体系。由此式计算了r′_2,值。r′_2随大单体分子量、大单体初始浓度及反应温度等反应条件而变化(r′_2=0.79-1.3)。在大单体共聚反应中,存在着较大的扩散控制因素,扩散过程减慢将使r′_2增大。     

H.264运动估计整像素部分算法及硬件实现

根据图像序列运动矢量时间、空间分布特性,针对H.264图像压缩提出了一种基于六边形搜索派生的运动估计快速算法,采用双六边形与小菱形结合的搜索模板,减少了搜索点数,降低了运算复杂度.算法部分和编码器其他部分的Verilog模块结合在FPGA上进行了仿真,结果表明,该算法与全搜索、六边形搜索、菱形搜索和不对称十字与多六角形网格混合搜索等算法相比较,在保证图像质量的前提下,具有减少运算量和复杂度的优点.     

关于N元向量值分叉连分式特征定理的证明

在多元向量值分叉连分式的构造中,特征问题的讨论尤为重要,结果已经给出了n元向量值分叉连分式插值的特征猜想,即一个n维插值点集包含N个元素,则建立在该点集上的n元向量值插值连分式将是一个分子为N-1次,分母为2[(N-1)/2]次的向量值有理函数,该文证明了这一猜想。     

Branched aliphatic alkanes of shell bar section in Qarhan Lake, Qaidam Basin and their paleoclimate significance

Blomarkers of paleolake deposits from Qarhan Salt Lake in Qaidam Basin, northwest China were systematically analyzed and the A--C series compounds of branched aliphaUc alkanes with quaternary substituted carbon atom （BAQCs） were identified. The homologous distinguished three series, A-C, were identified as 5,5-diethylalkanes, 6,6-diethylalkanes and 5-butyl, 5-ethylalkanes series, and their relative abundance was A 〉 B 〉 C. Series A and C were characterized by odd carbon numbers, whereas series B was characterized by even carbon numbers. The high values of series A corresponded with the high values of series B and C. Therefore, it can be concluded that series A, B and C possess a similar biological origin. The abundance of series A was relatively low in the lower part of the section compared with that in the upper part, implying that these series originated from bacteria and/or algae more prevalent in fresh-mesohaline water, and such kinds of bacteria and/or algae are most likely to be thermophilous species. The A25/nC25 ratio differences in the section show that such branched aliphatic alkanes can be treated as one kind of environmental change proxy for paleolake evolution and may provide important information for the climate reconstruction of the Late Pleistocene.     

关于正整数的六边形数的补数部分

对任意正整数n,设a(n)表示n的六边形数的补数部分,即a(n)=n-m(2m-1),如果m(2m-1)≤n<(m 1)(2m 1),m∈N.主要研究a(n)的均值性质以及a(n)与除数函数,a(n)与欧拉函数的混合均值性质,并给出了三个有趣的渐近公式.     

Branched alkanes with quaternary carbon atoms in Chinese soils： Potential environmental implications

Biomarkers, which can be used as proxy for the re- construction of paleoenvironments[1], paleoclimate[2],and origin of sedimentary organic matter, are com- monly used in the study of marine sediments[3], lake and peat deposits[4―6], ice and snow[7], pale…     

The specific carbon isotopic compositions of branched and cyclic hydrocarbons from Fushun oil shale

Various branched and cyclic hydrocarbons are isolated from the Fushun oil shale and their carbon isotopes are determined. The analytical results show that the branched and cyclic hydrocarbons are fully separated from n-alkanes by 5 A molecular-sieve adduction using long time and cold solvent. The branched and cyclic hydrocarbon fraction obtained by this method is able to satisfy the analytic requests of GC-IRMS. The carbon isotopic compositions of these branched and cyclic hydrocarbons obtained from the sample indicate that they are derived from photoautotrophic algae, chemoautotrophic bacteria (-33.4‰— -39.0‰) and methanotrophic bacteria (-38.4‰— -46.3‰). However the long-chain 2-methyl-branched alkanes indicate that their carbon isotopic compositions reflect biological origin from higher plants. The carbon isotopic composition of C30 4-methyl sterane (-22.1‰) is the heaviest in all studied steranes, showing that the carbon source or growth condition for its precursor, dinoflageilate, may be different from that of regular steranes. The variation trend of δ^13C ValUes between isomers of hopanes shows that ^13C-enriched precursors take precedence in process of their epimerization. Methanotrophic hopanes presented reveal the processes of strong transformation of organic matter and cycling of organic carbon in the water column and early diagenesis of oil shale.     

树分析法设计枝状给水管线

讨论了用树分析法对枝状给水管网的设计计算 .通过建立一系列矩阵 (原始最小树矩阵、替代方案矩阵、路线矩阵、流量矩阵等 ) ,采用矩阵变换方法形成替代方案 ,并作水力计算和方案筛选 ,获得最经济的设计 .从而提供优化设计编程理论依据     

基于正六边形栅格JPS算法的智能体路径规划

通过构建正六边形栅格地图, 并修改传统跳点搜索(jump point search, JPS)算法的邻居剪枝、强制邻居判断的规则和JPS策略, 提出一种新的正六边形栅格JPS算法, 并且利用该算法解决智能体在环境地图存在障碍物时的路径规划问题。利用Pycharm平台进行仿真研究, 并与传统正方形栅格A^*算法和JPS算法进行路径规划仿真比较, 结果表明正六边形栅格JPS算法可更好地实现路径规划, 所规划出的路径可避免穿越墙角的不安全行为、减少转向次数, 且该算法可减少路径规划时间, 提高了路径规划的质量和效率。