奇异矩阵的Krylov方法的误差分析比较

Krylov方法是求解线性方程组Ax=b,A∈CN×N,b∈CN的一种迭代方法,当A非奇异时,已有很好研究.而当A奇异或接近奇异阵时,在一定的假定条件下,Krylov方法的解与范教最小的最小二乘解A+b之间的差是可以估计出来的.     

Reply to the comment on: ‘Magnetoresistance in La1−xCaxMnO3(0≤x<0.4)’

The author of the comment objects to the characterization and the interpretation of magnetoresistance (MR) effects observed by us in La_1−xCa_xMnO₃ (0≤x<0.4) samples. In this reply, arguments are used to show that the samples' characterization and explanation of the MR by considering the role of the short-charge ordering (CO) regions and magnetic domains are reasonable and acceptable.     

Conservation Laws of K(m, n) and mK(m, n) Equations

Based on the rank analysis method, algorithmization idea, and symbolic computation, in this paper we have presented a method to construct the conservation laws for nonlinear evolution equations. The polynomial conservation laws for K (n 2, n) equations and mnK(m, n) equations are found by using of this approach and some new results have been obtained.     

Hydroxyapatite coating on porous silicon substrate obtained by precipitation process

Hydroxyapatite Ca₁₀(PO₄)₆(OH)₂ (HAP) is known as a bioactive and biocompatible material, HAP coatings were used to improve the biocompatible of substrate by many researcher, In this work, HAP thin films on porous silicon (PS) substrates have been prepared by aqueous precipitation method with rapid thermal annealing (RTA) processes. The HAP films had been prepared under the annealing temperature ranging from 300 to 1000 °C. By the measurement of X-ray diffraction (XRD), it was found that for the crystallinity optimization, the heat-treatment at 850–950 °C for 1 h would be favorable. Atomic force microscopy (AFM) and scanning electron microscope (SEM) measurements reveal a dense and smooth surface of the HAP film, and tightly adherence of the coating on porous silicon substrate after sintered. Thus, by this method, porous silicon could be increased its bioactivity and so that could be used in the biomedical area.     

化学位移各向导性对半整数自旋四极核的2D NMR章动的影响

考察了化学位移各向异性对半整数自旋四极核2D NMR章动的影响.用数值方法对2D NMR章动实验的演化期的Hamiltonian矩阵进行对角化,然后用帐篷法进行粉末平均,获得了自旋为I=3/2、5/2、7/2和9/2的四极核在不同化学位移各向异性下的2D NMR章动谱.实验结果与理论计算符合较好.     

THE STEP-TRANSITION OPERATORS FOR MULTI-STEP METHODS OF ODE'S

1.'IntroductionThedisad~ageofsymplecticmethodsinusingtheinformationfrompasttimestepsleadstotheirneedingmorefunctionevaluationthannonsymplecticmethods.Thisdisadvantagecanbeovercomeifonecouldconstructsymplecticmulti-stepmethods.But'theaestProblemshouldbesolvedistogiveoutthedefinitionofsymplecticmultistepmethod.Ulltilnow,apopularideaisthatanm-stepmethodonMmaybewrittenasaone-stepmethodonMa.Inpaper12,71,theauthorshaveinvestigatedthecircumstanceunderWhichadifferenceschemecanpreservetheproductsympl…     

机助数据采集与通用平差系统

PC-1500袖珍计算机是理想的野外数据采集工具,IBM系列微机又是比较普及的内业处理机,PC-1500与IBM又可以联机通讯.从而可达到从野外数据采集到内业数据处理的自动化.本文就控制测量的野外数据采集与内业数据处理作了一系列理论研究与实用试验,编制出一整套实用软件.可用于生产实际中.     

城市房屋拆迁中产权问题的思考

本文针对目前我国城市房屋拆迁问题，通过对城市房屋拆迁过程涉及的权利内容进行了总结，并在此基础上，着重分析了城市房屋拆迁过程中权利保护的有关问题，提出了在城市房屋拆迁过程中，房屋产权要高于拆迁权的思想基础，期望通过本文分析达到抛砖引玉的作用，为今后加强对城市房屋拆迁管理，进一步完善我国城市房屋拆迁制度提供一个更为深入的研究路线。     

4×20T/h锅炉房质量事故的分析与处理

在工程建设中 ,由于施工疏忽大意 ,组织不当 ,操作失误 ,造成的工程质量事故屡有发生 ,给生产和使用带来隐患 .为保证工程正常使用 ,必须进行处理 .简单的方法是推倒重来 ,这样势必造成巨大的经济损失 ,有时由于工期因素的影响 ,也不允许这样做 .因此针对不同的工程质量事故要采取不同的处理方法 ,在满足生产使用的前提下 ,尽量使工程事故损失降低到最小程度 ,本文介绍的是一起严重的工程质量事故的处理方法 .     

BERNOULLI CONVOLUTIONS ASSOCIATED WITH CERTAIN NON-PISOT NUMBERS

1　IntroductionForany 0 <λ <1 ,letνλ　denotethedistributionof ∞n=0 εnλn wherethecoefficientsεnareeither0or1 ,chosenindependentlywithprobability12 foreach .Itistheinfiniteconvo lutionproductofthedistributions 12 (δ0 +δλn) ,givingrisetotheterm“infiniteBernoulliconvolution”orsimply“Bernoulliconvolution” .TheBernoulliconvolutioncanbeexpressedasaself similarmeasureνλsatisfyingtheequationνλ =12 νλ φ- 10 + 12 νλ φ- 11,( 1 .1 )whereφ0 (x) =λxand φ1(x) =λx + 1 .Thisme…