双子矩阵的特征值和特征向量

通过对极大极小（γ，δ）双子在某一特征值下的等价定义，把任意的极大极小（γ，δ）双子化为极大代数下的双子，从而得到计算极大极小〈γ，δ〉双子Ｍ矩阵的特征值与特征向量的方法以及有关的结论。     

Hyper-spectral estimation of wheat biomass after alleviating of soil effects on spectra by non-negative matrix factorization

Hyper-spectral technology has been proven to be an effective method for the fast and non-destructive monitoring of crop biomass. However, the biomass estimation accuracy of this method is limited due to the effects of background factors, such as soils and water. In this study, a spectral separation method, non-negative matrix factorization (NMF), was proposed to alleviate the effects of soil on spectra. With the application of the NMF method, pure vegetation spectra were extracted from the field-observed spectra of wheat canopy, which were collected in four growing seasons from the tillering to the booting stages of wheat. Then, prediction models of wheat biomass (WB) were established and validated using the extracted spectra with the partial least squares regression (PLSR) method. The results showed that the NMF method could effectively separate the vegetation spectra from the mixed canopy spectra. Based on the extracted vegetation spectra, the WB prediction accuracy could be greatly improved with an increase of 31.7% for the R²_p and an increase of 46.6% for the ratio of performance to deviation (RPD) as compared to the original spectra, indicating that the NMF method could significantly improve the performance of the WB prediction model. This method has potential application in the estimation of biomass using remote sensing technology.     

12-6台体型Stewart冗余并联机构正向运动学研究

针对六自由度并联机构的正向运动学无全解析解或全解析解推导困难、不便于程式化、存在多解选择的现状,提出一种含混合单开链支路的12-6台体型Stewart冗余并联机构,推导了适用于实时反馈控制的正向运动学全解析算法。通过单开链的方位特征集运算及路线分解,对机构的拓扑构型进行了剖析,并解算了耦合度,为运动学方程的构造及同构处理指明了方向。基于动平台上4个共面特征点的拓扑关系,对15个二次相容方程进行同构运算,推导了12个一次多项式,得到正向位姿方程的全解析解,具有形式简洁、对称,且根能够唯一确定的特点。根据速度基点法,建立特征点速度之间的矢量关系,解决了机构的速度正解问题。结合杆长协调方程及速度映射方程,并运用Jacobian代数法解析出机构的3组奇异曲面方程。实验结果表明,位姿正解的计算值与测量值完全一致,速度正解的最大相对误差为0.08%,它们的效率指标值分别为0.21和0.32,均满足实时性要求。     

滴灌控制土壤基质势对土壤水分分布和苜蓿生长的影响

采用在滴头正下20 cm深度处埋设负压计,分别设置-15、-25和-35 k Pa的土壤基质势控制滴灌,通过田间试验,研究了不同土壤基质势下土壤水分变化特点和紫花苜蓿的生长特性,分析了蒸发、降雨和灌水与土壤基质势之间的关系。从土壤剖面水分分布来看,整个生育期内-15 k Pa处理下的土壤剖面含水率整体集中在14%~15%,较-25和-35 k Pa处理的更为均匀,水分密集区域距离滴头最近;-15 k Pa处理下苜蓿株高达到41.7 cm,盖度为15.3%,生物量值达到了281.29 g/m~2,在所有处理中均为最高。     

基于Lefkovitch矩阵模型的山酢浆草种群动态分析

依据林下多年生草本植物山酢浆草Oxalis griffithii的形态学特征,将其生活史划分为4个阶段,并根据3种生境下山酢浆草种群的野外调查资料建立了不同种群的Lefkovitch结构矩阵模型,在此基础上预测了山酢浆草种群的动态及其阶段结构的变化;同时,运用敏感度、贡献率指标分析了影响种群动态的关键生活史阶段。结果表明：不同生境下山酢浆草种群的动态发展趋势不尽相同,常绿阔叶林下的种群（MD）呈稳定发展状态,其他2种生境下种群表现出衰退的发展趋势;种群的动态变化过程受个体的生长、残存、萎缩和繁殖等的综合影响;不同生活史阶段对种群动态的影响差异显著,种群动态过程及其发展趋势主要受种群内较大阶段个体的影响。图2表5参19     

45阶Kirkman三连系的构造与计数

给出了边矩阵和完全三分图的定义,提出了利用边矩阵、完全三分图构造45阶Kirkman三连系的思路。介绍了不同构的45阶Kirkman三连系构造的全过程,讨论了45阶Kirkman三连系的计数。     

重组M蛋白间接ELISA检测猪繁殖与呼吸综合征病毒抗体

用纯化的猪繁殖与呼吸综合征病毒重组M蛋白作包被抗原,建立了检测猪繁殖与呼吸综合征病毒抗体的间接ELISA方法,并确立了ELISA最佳工作条件:抗原包被浓度为3.5μg/mL,37℃1h加4℃过夜,血清(1:40)和酶标SPA(1:80)分别在37℃温育1h,加底物溶液常温显色5min。经重复性试验、交叉试验、阻断试验等试验结果表明该方法重复性好、特异性强、敏感度高;与美国IDEXX公司试剂盒相比较,特异性和敏感性分别为96.3%和93.5%,无显著性差异。用建立的方法检测临床血清样品168份,总阳性率为39.9%。     

紫叶矮樱不同基质育苗比较试验

以炉渣、锯末、菇渣废料、鸡粪、羊粪、田园土分别按照不同体积比配制9种供试基质,对紫叶矮樱进行处理,研究不同基质养分对紫叶矮樱苗木株高及成品苗质量的影响.结果表明:G6基质(田园土∶炉渣∶菇渣废料∶鸡粪=6∶3∶0.5∶0.5)为最佳栽培基质.     

Interaction Between Plant Roots and Soil Water Flow in Response to Preferential Flow Paths in Northern China

Preferential flow is expected to provide preferential channels for plant root growth and variations in soil water flow, but few studies were conducted to imply the impacts of these changes, particularly for preferential flow in stony soils. This study aimed to characterize soil water flow and plant root distribution in response to preferential flow paths and quantitatively describe the relation between plant root distribution and soil water flow. Field dye‐tracing experiments centered on experimental plants were conducted to determine the root length density and soil water flow process. Laboratory analyses were performed to characterize changes in the relative concentration of the accumulated effluent and the degree of interaction between plant roots and soil water flow. The amount of fine plant roots with preferential flow paths decreased with increasing soil depth for all experimental plots. The largest plant roots were recorded in the upper soil layers to a depth of 20 cm. The relative concentration of the accumulated effluent increased with time and decreased with soil depth under saturated soil conditions, whereas a distinct early turning point for the relative concentration of the accumulated effluent was observed in the 0–20‐cm soil columns, and the relative concentration of the accumulated effluent initially decreased and then increased with time under unsaturated soil conditions. This study provides quantitative information with which to characterize the interaction between plant roots and soil water flow in response to preferential flow paths in soil–plant–water systems. Copyright © 2016 John Wiley & Sons, Ltd.     

关于无网格方法中点插值形函数的研究

点插值法与其他无网格方法不同的是采用多项式近似来构造形函数，这种形函数具有Kronecker delta函数的特性，因此，易于施加本质边界条件．本文研究了点插值法中以单项式为基函数的形函数的建立及其性质，并通过矩阵三角化算法来克服形函数矩阵大奇异性．同时，本文所给出的数值算例验证了形函数具有Kronecker delta函数的特性，说明了点插值形函数具有精确的曲线拟合特性并能通过分片试验．