In order to find a stable approximate solution of linear compact operator equation, the article introduces general theories about ill-posed problems, it bases on spectral theory of self-adjiont compact operators and the singular value decomposition for compact operators, avails singular system to give expression of the solution, and explains ill-posedness of compact operator equation roots in the property that the singular values trends to zero. Thereout, it is provided with theoretic support of building up regularization method by inducting regularization filter to weaken or filtrate the influence that the nature of the singular value being very close to zero has on the solutions stability.

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It is very difficult to eliminate these influence factors completely by conventional treatment. Surface properties and surface treatment of ultrafine red phosphorus and MMT and their interface properties with polymer matrices were studied in this thesis. The results were characterized by GC, FTIR, XRD, DTA, TG, XPS, UV, SEM, TEM and other physical and chemical methods. The main contents are as following: 1. The study of factors influencing ultrafine red phosphorus's invariability and phosphine liberation indicated red phosphorus undergone oxidation and dismutation reaction in air, and trace ion of iron, copper and nickel fastened water absorption and oxidation, in which the effect of copper ion was the most, while aluminium and zinc ion could slow down red phosphorus'oxidation, and silver ion had the best effect on red phosphorus moisture absorption. Inhibitors such as aluminium hydroxide, magnesium hydroxide, organic phenol and ferrous potassuim cyanide had a good effect on reducing red phosphorus moisture absorption and restraining phosphine liberation.

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At first, I developed the principle and restrictive factor to optimize the investment structure of regional industry; Secondly, I applied the Grey Theory to research the relationship between structure of investment and structure of industry, the relationship between structure of industry and economy of region.; Thirdly, Three methods, including AHP, Principal Component Analysis and Relative Potential were exerted to research the order of investment afterward, I developed qualitative analysis to the third industry, and put forward suggest to its progress direction; Fourthly, Using economics and operational researchs thoughtway for reference, I upbuilt the dynamic model of investment portion model.

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These fingerprints provide depth-sensitive quantitative information about the light-scattering properties of tissue and also show significant qualitative differences in scattering patterns.

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An anomalous or"inverse"behavior of the critical strain, beyond which the plastic flow involves a bifurcation from smooth to jerky flow, in a certain range of applied strain rate is studied. The evolution of amplitude, rise time and drop time of stress serrations during the test is analyzed statistically. From the mechanism of the motion and multiplication of dislocations, we give a qualitative explanation for above phenomena.

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