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The dissertation will study some problems in stream ciphers. The main results that the author obtained are as follows:(1) The concept of fuzzy linear complexity is presented initially. The estimation problem of the fuzzy linear complexity of the random vector is studied, and a lot of upper bounds are given. The limit properties of fuzzy linear complexity of random vector are studied, and the limit theorem and the limit of variance of the fuzzy linear complexity of random vector are given.(2) The concept of fuzzy nonlinear complexity is presented initially.

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The research work presented in this dissertation focused on developing the scheme and techniques of OPCPA. This dissertation gives the results of the theoretical and experimental investigation on OPCPA scheme. The validation of OPCPA at high energy level was demonstrated successfully. And some important results were achieved. Several key techniques related to developing table-top ultra-intense and ultra-short OPCPA laser system were put forward, for example, the generation of femtosecond seeding pulses, the precisely temporal synchronization of the pump and signal pulses, the pulse stretching and recompression, the OPCPA process with high energy conversion efficiency and etc. Based on the integration of these key techniques, a 1.46-TW/153-fs OPCPA table-top ultra-intense and ultra-high laser system has been developed, which, to the best of our knowledge, has generated laser pulses with the shortest pulse duration and the highest peak power among the joule level OPCPA systems in the world.

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Firstly got the sequence of the contour points with one pixel width of the image to be assembled.

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The introduction of torsion field can be included in a new meaning to the concept of physical vacuum . All kinds of fields (electromagnetic field, gravitational field and torsion field) can be regarded as the behaviors of physical vacuum under different polarized conditions. If one charged particle in vacuum spins to lead to the charge polarization of the vacuum , it takes the form of electric field ; if the move source is mass, by which the spin leads vacuum to the vertical polarization, it takes the form of gravitational field; If the spin is self-spinning to lead vacuum to the horizontal polarization, it takes the form of torsion field.

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In the method, he introduced abundant achievements of contemporary history, which include Microhistory and the "total history" of Annale School; in the main proposition, he made his individual choice on the concept of transgression of Foucault.

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The independence of words is shown phonologically by the fact that they may be preceded and followed by pauses; orthographically by their separation by means of spaces or punctuation mark; syntactically by the fact that they may be used alone as a single utterance; and semantically by the possibility of assigning to them one or more dictionary meanings.

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