For some special cases, the paper gives some important identical theorems, and then establishes a valuable relation between the uniformly almost periodic functions and the trigonometric polynomials.Secondly, on the basis of the identical theorem, the paper investigates the Fourier series of the uniformly B2 almost periodic functions, and further proves that the series is unique.Thirdly, the paper discusses the Parseval equation of the uniformly B2 almost periodic functions, which establishes the relation between these functions and the coefficients of their Fourier series; and next investigates an important approximation theorem-Riesc-Fischer theorem, about the uniformly B2 almost periodic functions and the trigonometric polynomials.

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On the applications of the uniformly Besicovitch almost periodic functions to differential equations, the main works are as follows:First, the paper proves that the space of the uniformly B2 almost periodic functions, with a special norm, is a Banach space, and then the Fixed Point Methods could be used in this function space.Second, since the space of the uniformly B2 almost periodic functions is per-fect, the paper investigates the existence and uniqueness of uniformly B2 almost periodic solution of a wave equation involving reflection of the argument by the principle of contraction mapping.

關(guān)于一致Besicovitch概周期函數(shù)在微分方程中的應(yīng)用，本文主要做了以下工作：第一一级做α爱过程免费视频，證明了一致B~2概周期函數(shù)空間在其特定范數(shù)下構(gòu)成Banach空間97在线超级对对碰免费，從而可以在此函數(shù)空間上應(yīng)用不動點(diǎn)定理；第二日韩se片，由一致B~2概周期函數(shù)空間的完備性新天堂成人av福利网站在线，應(yīng)用壓縮映像原理，討論了一類滿足一定初始條件的帶反射變量的波方程一致B~2概周期解的存在唯一性国产永久免费无码观看。

Among those; studies, Liu and Bek have obtained many important results for the theory and applications of Banach spaces and their geometry on complex number,(see [3],[41])Here, we have investigated the TP modulus of convexity and TP modulus of smoothness, on the one hand, we have defined a class of new spaces called uniformly TP convex ,on the other hand, we have extended martingale inequalities and the martingale spaces.This article is divided into four parts, in the first part, we define the TP modulus of convexity and TP modulus of smoothness of Banach space, and prove that the space which is characterized by uniform convexity is same as the space which is characterized by TP uniform convexity. Then we give TP q-uniformly convex and TP p-uniformly smoothable characterization of the Banach space. At the same time, we prove the famous renormed theorem.

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At last the results have been applied to the tracking problem of a class of mechanical systems with discontinuous friction term. Chapter 3 mainly deals with uniformly ultimate boundedness of a class of nonautonomous systems with discontinuous right-hand sides and corresponding perturbed systems (in the sense of Filippov solutions). The definitions of globally uniformly strongly ultimate boundedness and globally uniformly weakly ultimate boundedness of discontinuous systems and the definition of globally equiuniformly strongly ultimate boundedness of corresponding perturbed systems are presented firstly.

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This dissertation investigates the construction of pseudo-random sequences (pseudo-random numbers) from elliptic curves and mainly analyzes their cryptographic properties by using exponential sums over rational points along elliptic curves. The main results are as follows:(1) The uniform distribution of the elliptic curve linear congruential generator is discussed and the lower bound of its nonlinear complexity is given.(2) Two large families of binary sequences are constructed from elliptic curves. The well distribution measure and the correlation measure of order k of the resulting sequences are studied. The results indicate that they are "good" binary sequences which give a positive answer to a conjecture proposed by Goubin et al.(3) A kind of binary sequences from an elliptic curve and its twisted curves over a prime field F_p. The length of the sequences is 4p. The "1" and "0" occur almost the same times. The linear complexity is at least one-fourth the period.(4) The exponential sums over rational points along elliptic curves over ring Z_ are estimated and are used to estimate the well distribution measure and the correlation measure of order k of a family of binary sequences from elliptic curves over ring Z_.(5) The correlation of the elliptic curve power number generator is given. It is proved that the sequences produced by the elliptic curve quadratic generator are asymptotically uniformly distributed.(6) The uniform distribution of the elliptic curve subset sum generator is considered.(7) We apply the linear feedback shift register over elliptic curves to produce sequences with long periods. The distribution and the linear complexity of the resulting sequences are also considered.

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In the first pa.rt,we clolinc the TC inodnhis of convexity and TC modulus of smoothness of quasi-Baiiach space, and prove that the space which is characterized by uniform convexity is same as the space which is cliaracteri/,ed by uniform TC convcxity.Then we give several characterizations of q-uniformly TC convex quasi-Banach space.At the same time ,we prove the triionned-theorcm.In the second part, we give the relationships between some inequalities of martingales with values in quasi-Banach space and uniformly TC convex quasi-Banach space.

本文分四部分，第一部分在擬Banach空間上定義了TC凸性模和TC光滑模并證明了在Banach空間上它分別和一致凸性和一致光滑性刻劃的空間是一致的超黄色毛片久国产，即Banach空間X是一致TC凸的的充分必要條件是它是一致凸的永久黄网色视频免费观看，Banach空間X是一致TC光滑的充分必要條件是它是一致光滑的，還分別得出了判定一致TC凸和一致TC光滑的幾個充分必要條件自拍偷国产三级片2020，同時還證明了在擬范數(shù)下的重賦范定理日韩高清性爱网站。

For example, U-space is uniformly regular and which makes it has fixed point property, U-space is uniformly non-square and thus super-reflexive, uniformly convex space and uniformly smooth space are U-spaces, and an Banach space is an U-space iff its dual space is U-space, etc. In1990s, a lot of work had been done on U-space theory, e.g., Tingfu Wang and Donghai Ji introduced the concepts of pre U-property and nearly U-property. Under the structure of Orlicz space, they made systematic investigation of these properties, and gave the criteria for an Orlicz space to have U-property.

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This dissertation investigates the construction of pseudo-random sequences (pseudo-random numbers) from elliptic curves and mainly analyzes their cryptographic properties by using exponential sums over rational points along elliptic curves. The main results are as follows:(1) The uniform distribution of the elliptic curve linear congruential generator is discussed and the lower bound of its nonlinear complexity is given.(2) Two large families of binary sequences are constructed from elliptic curves. The well distribution measure and the correlation measure of order k of the resulting sequences are studied. The results indicate that they are "good" binary sequences which give a positive answer to a conjecture proposed by Goubin et al.(3) A kind of binary sequences from an elliptic curve and its twisted curves over a prime field F_p. The length of the sequences is 4p. The "1" and "0" occur almost the same times. The linear complexity is at least one-fourth the period.(4) The exponential sums over rational points along elliptic curves over ring Z_ are estimated and are used to estimate the well distribution measure and the correlation measure of order k of a family of binary sequences from elliptic curves over ring Z_.(5) The correlation of the elliptic curve power number generator is given. It is proved that the sequences produced by the elliptic curve quadratic generator are asymptotically uniformly distributed.(6) The uniform distribution of the elliptic curve subset sum generator is considered.(7) We apply the linear feedback shift register over elliptic curves to produce sequences with long periods. The distribution and the linear complexity of the resulting sequences are also considered.

本文研究利用橢圓曲線構(gòu)造的偽隨機(jī)序列，主要利用有限域上橢圓曲線有理點(diǎn)群的指數(shù)和估計討論橢圓曲線序列的密碼性質(zhì)——分布男女无遮挡高清性视频APP、相關(guān)性亚洲理论视频免费网站、線性復(fù)雜度等，得到如下主要結(jié)果：(1)系統(tǒng)討論橢圓曲線-線性同余序列的一致分布性質(zhì)亚洲区综合，即該類序列是漸近一致分布的欧美一区、二区，并給出了它的非線性復(fù)雜度下界；(2)討論兩類由橢圓曲線構(gòu)造的二元序列的&良性&分布與高階相關(guān)性(correlation of order κ)日韩系列在线精品视频观看网站，這兩類序列具有&優(yōu)&的密碼性質(zhì)国产精品婷婷久久久久久，也正面回答了Goubin等提出的公開問題；(3)利用橢圓曲線及其撓曲線構(gòu)造一類二元序列，其周期為4p(其中橢圓曲線定義在有限域F_p上)日韩精品美女网页在线观看免费，0-1分布基本平衡成年该看的免费视频，線性復(fù)雜度至少為周期的四分之一；(4)討論了剩余類環(huán)Z_上的橢圓曲線的有理點(diǎn)的分布估計91久久五月，并用于分析一類由剩余類環(huán)Z_上橢圓曲線構(gòu)造的二元序列的偽隨機(jī)性；(5)討論橢圓曲線-冪生成器序列的相關(guān)性及橢圓曲線-二次生成器序列的一致分布亚洲h视频免费观看；(6)討論橢圓曲線-子集和序列的一致分布欧美精品一区yz；(7)討論橢圓曲線上的線性反饋移位寄存器序列的分布，線性復(fù)雜度等性質(zhì)国产美女一级性大黄片。

In 1966, Ross solved the equation of symmetrical free vibration and got six matching solution, but he believed that it is impossible to find a solution which is useful in everywhere. In 1979, Goldenveizer printed a monography in which the uniformly valid representations of curved solution were published, but the representations of membrane solution were still not found. In 1988, Ruo-jing Zhang published the uniformly valid representation of six solutions for symmetrical free vibration and eight solutions for dissymmetrical free vibration for the first time.

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Results The sensitivity,specificity,positive predictive value,negative predictive value,Youden index,accuracy ...

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