The equivalence of the constrained Rayleigh quotient and Newton methods for matrix polynomials expressed in different polynomial bases along with the confluent case

We show that using the constrained Rayleigh quotient method to find the eigenvalues of matrix polynomials in different polynomial bases is equivalent to applying the Newton method to certain functions. We find those functions explicitly for a variety of polynomial bases including monomial, orthogonal, Newton, Lagrange and Bernstein bases. In order to do so, we provide explicit symbolic formulas for the right and left eigenvectors of the generalized companion matrix pencils for matrix polynomials expressed in those bases. Using the properties of the Newton basis, we also find two different formulas for the companion matrix pencil corresponding to the Hermite interpolation. We give pairs of explicit LU factors associated with these pencils. Additionally, we explicitly find the right and left eigenvectors for each of these pencils.     

基于粒度与小波变换的纹理图像分割*

对小波变换本质进行分析,得出小波是将序列收敛的商空间逼近改造成按级数收敛的商空间逼近的结论.将商空间粒度计算理论与小波变换相结合并应用于纹理图像分割中,取得了成功.     

对大学生类型的分析及教育方法的探讨

针对当前大学生工作思路存在的弊端 ,提出把学生分门别类进行教育的新的工作思路 ,即通过对学生类型的考察和分析 ,归纳出不同类型学生的特点 ,并运用《教育学》和《教育心理学》中有关学习和情商、智商二者的关系 ,针对不同类型的学生 ,施以不同的教育方法 ,真正做到因材施教 ,更好地实现我们的教育目的。     

用有限元亏量校正求特征值下界

对解2阶椭圆特征值问题的线性有限元法,本文考虑了一种计算简单的有限元亏量校正方案。基于插值校正和Rayleigh商给出了新的校正特征值。理论分析表明该校正特征值或者达到二次元的精度阶或者当网格直径充分小时下逼近准确特征值,并用数值实验验证了理论结果。     

Effects of plant residues on crop performance, N mineralisation and microbial activity including field CO2 and N2O fluxes in unfertilised crop rotations

The impacts of crop rotation and input of organic matter in the form of green manure crops, straw residues and incorporation of catch crops on crop yield, nitrogen uptake, microbial biomass and activity were studied in unfertilised crop rotations differing in input of plant residues, i.e., high-input rotations with a grass-clover crop and catch crops included and low-input cereal rotations without catch crops. The parameters studied included substrate induced respiration (SIR), hydrolysis of fluorescein diacetate (FDA), arylsulfatase activity (ASA), N mineralisation, N₂O emission, and soil respiration. These parameters were measured in bare soil plots, to estimate the effects of previous years' crops and input of plant residues. In neighbouring plots crop performances were registered by measuring yields, above-ground biomass and nitrogen uptake during the growing season. Generally, all measured parameters were significantly higher in the high-input than in low-input rotations. Estimates of metabolic quotients indicated that the microbial communities in the low-input rotations were less efficient in utilising the C sources than those in the high-input rotations. Calculations of N₂O emission factors indicate that the current IPCC methodology for estimating N₂O emission from plant residues needs to be improved.     

豆浆机信息化指数和智商评测浅析

本文通过介绍豆浆机信息化指数和智商评测的必要性及其规范的要求,以及通过实例产品评测结果的对比,使读者对《豆浆机信息化指数和产品智商评测规范》有一个初步了解。     

Respiratory parameters of onion bulbs (Allium cepa) during storage. Effects of ionising radiation and temperature

The O₂ and CO₂ respiration rates of untreated and irradiated onion bulbs (Allium cepa) at 0.15 and 0.30 kGy were measured at 4, 10 and 20 °C. The O₂ respiration rate increased for 24 h after treatment from 0.19 mmole kg⁻¹ h⁻¹ at 20 °C for control samples up to 0.26 and 0.39 mmole kg⁻¹ h⁻¹ for 0.15 and 0.3 kGy irradiated onions respectively. Respiratory quotient (RQ) increased with temperature. The Q₁₀ of the respiration of the control samples (1.61) was lower than that of any other plant tissue, but it increased with storage duration and irradiation dose. The respiration rate of control onions increased steadily over 25 weeks of storage at 4 °C, while that of the irradiated samples decreased during the same period after a peak observed after irradiation treatment. The apparent K_m for the Menten–Michaelis equation was determined on a new respirometer and averaged 1.6 kPa at 10 °C and 6.3 kPa at 20 °C. However, at this higher temperature (20 °C) apparent K_m varied with O₂ partial pressure, proving that the respiration of onion bulbs does not follow a Menten–Michaelis‐like process. The Fermentative Index (FI) of onions was measured under anoxic conditions as CO₂ production rates in mmole kg⁻¹ h⁻¹ at 4, 10 and 20 °C. © 2000 Society of Chemical Industry     

一种基于统计方法的入侵检测模型的研究

提出一种基于统计方法的入侵检测模型。审计记录是入侵检测模型实施的依据．文章使用神经网络技术训练审计记录，获得每个属性的正常区间，通过区间选取算法。得到阀值向量，结合加权特征向量和伯努利向量．进行加权入侵得分的计算和疑义商的计算，疑义商就是本模型判断入侵的依据。根据专家的经验．设置相应的阀值就可以自动地实现入侵报警。     

广义Rayleigh商在四元数体中的推广及其在图象信息融合中的应用

在力学、物理学及系统工程理论中,常会遇到形如AX=λBX的广义特征值问题。本文将复数域中的广义特征值问题向四元数体加以推广、通过详细的数学推导证明其正确性。同时说明该问题在基于Fisher模式分类法的信息融各技术中的应用,并结出详细的数学证明。