This paper discussed the application of theories about advanced algebra in the factorization of multinomial , introduced some application methods , acquired the methods of judging if a multiple quadratic multinomial can be factorized and how it is factorized , and thus solved the theoretical problem of the factorization of a multiple quadratic multinomial 摘要讨论了高等代数理论在多元多项式分解中的应用，给出了若干应用方法，得到了多元二次多项式可分解的判别法和分解方法，彻底解决了多元二次多项式分解的理论问题。
In this method , the consideration of the appropriate selects of reasonable numbers of modes and the adoption of the basic principles of the type modal decomposition method and the elastic - plastic response spectra considering strength reduce coefficient make the analysis results even near the actual performances of structures in big earthquake 在本方法中，考虑了合理振型数的适当选择，采用了振型分解方法的基本原理，采用了考虑强度折减的弹塑性反应谱，使分析结果更接近结构在大震作用下的实际性能。
( 3 ) by using the method of svd and its second spatial distribution pattern , we can find that there is an evident positive relationship between the spring greenland sea - ice extent and summer rainfall of north china , that is to say , if the spring sea - ice extent of greenland is larger ( smaller ) , then there is much more ( less ) summer rainfall in north china ( 3 )采用奇异值分解方法，由第二对空间分布型可以看出，春季格陵兰海冰与华北夏季降水存在明显的正相关关系，即春季格陵兰海冰面积偏大(小) ，则后期华北夏季降水偏多(少) 。
With energy method , we can conveniently control the precision of the objective surface and add boundary constraints for preserving the model ' s global geometric continuity , but this method is very time - consuming . stiffness adjustment is the easiest method to be implemented and the fairing result is always satisfying except that the acquired surface editing is awkward . based on wavelets decomposition , the surface model ' s data size can be compressed efficiently and this method is running fast , however , the error and boundary constraints are difficult to be considered 其中基于能量原理的光顺方法能够方便地控制目标曲面的精度和边界条件，从而能够实现曲面模型的全局连续性，但是能量法的运算速度还有待提高；刚度调整法实现简单，但是生成的曲面的可编辑性较差；小波分解方法计算速度很快，能够有效地实现数据压缩，但是其逼近误差和边界条件却难于控制。
In spite of these advantages , we should concentrate on how to extend the representation of modes , how to apply to unstructured grids , etc . and when combining pod and saa , it is necessary to know how to represent the shape and how to control the range of seeking and iteration number 但在研究的过程中,我们发现正交分解方法也存在如下问题:如何增强基模态的表达能力,如何将该方法应用于非结构网格的计算等。在利用模拟退火算法结合解算器进行翼型反设计时,则需要考虑如何表达几何外形形状,怎样控制搜索范围以及如何减小搜索次数等实际问题。
Ir - ta - ti metal oxide coated titanium anodes of variable composition were prepared by thermal decomposition . their micro morphorogies and electrochemical properties were characterized by scanning electron microscope , open circuit potential , cyclic voltammetry , consumption rate measurements and accelerated life test . the sem results indicated that all coatings were of a porous and cracked - mud microstructure influenced greatly by the composition of coatings . the electrochemical measurements showed that the ir - ta - ti ternary oxide - coated anodes exhibited excellent electrochemical activity and electrochemical stability in both acidic media and seawater which were affected by the composition and microstructure of the coatings . owing to good corrosion resistance and low consumption rate in seawater , metal oxde coated anodes belong to insoluble material , and can be potentially applid in impressed current cathodic protection systems as an anode 采用热分解方法在钛基体上制备铱钽钛金属氧化物阳极，用扫描电镜对阳极涂层显微形貌进行分析，通过强化电解寿命试验、开路电位测试、消耗率试验及循环伏安曲线研究了金属氧化物阳极的电化学性能. sem分析结果表明铱钽钛金属氧化物阳极涂层呈现多孔多裂纹形貌结构.随阳极涂层组成不同，涂层显微形貌表现出很大差异，这种差异直接影响阳极电化学性能.电化学性能试验结果表明铱钽钛金属氧化物阳极在酸性介质和海水中具有良好的电化学稳定性和电化学活性.此外，铱钽钛金属氧化物阳极在海水中的消耗率很低，属于不溶性的阳极材料，作为外加电流阴极保护用辅助阳极具有广泛的应用前景
Methods in space / frequency domain : a group of gabor filters are used in texture - based image retrieval ; by analyzing how the energy changes with the decomposing of wavelet , tree - structured wavelet transform in texture - based image retrieval is selected to use . as for similarity measurement of texture - based image retrieval , this paper demonstrates two data models related to the similarity measurement and proposes two kinds of multi - feature combination structures 在空间频域联合的方法中，将构造的一组gabor滤波器用于图象纹理检索；通过分析纹理图象经过小波分解后的能量变化特点，提出了选用树型小波分解方法用于纹理检索，提高了检索的有效性。
Secondly , the author firstly demonstrates that the demand regulatory policy could keep the currency value correspondingly stable and make economy go up more quickly , employing the image diagram of curves . and then the author effectively demonstrates that the relativity of between price , output and monetary aggregates is closer , employing co - integrated theory , the vec ( vector error correction ) model and the variance decomposition method for analyzing quarterly data from 1996 to the third quarter of 2005 其次,在运用形象的曲线图分析现阶段需求管理政策可以使我国在保持币值相对稳定的条件下实现经济较快增长的基础上,运用协整检验、 vec (向量误差校正)模型和方差分解方法分析了1996年以来货币供应量、物价和产出的季度时间序列,有力地论证了货币供应量与物价、产出间具有较强的相关性。
Systematically and completely , this essay has discussed the principle of the actualization of college ' s setting up its management system of duty cost , advanced the model of the budget assigns of duty cost from departments of college , and in a specific way , dissertated methods of calculating and resolving the duty cost from departments of college 文章系统、全面地探讨了高校构建责任成本管理体系的实施原则，提出了高校院系责任成本预算分配模型，并具体论述了院系责任成本预算的计算与分解方法。
