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The main contributions of the second part of this dissertation are focused on the cryptographic properties of logical functions over finite field, with the help of the properties of trace functions, and that of p-polynomials, as well as the permutation theory over finite field: The new definition of Chrestenson linear spectrum is given and the relation between the new Chrestenson linear spectrum and the Chrestenson cyclic spectrum is presented, followed by the inverse formula of logical function over finite field; The distribution for linear structures of the logical functions over finite field is discussed and the complete construction of logical functions taking on all vectors as linear structures is suggested, which leads to the conception of the extended affine functions over finite field, whose cryptographic properties is similar to that of the affine functions over field GF (2) and prime field F〓; The relationship between the degeneration of logical functions and the linear structures, the degeneration of logical functions and the support of Chrestenson spectrum, as well as the relation between the nonlinearity and the linear structures are discussed; Using the relation of the logical functions over finite field and the vector logical functions over its prime field, we reveal the relationship between the perfect nonlinear functions over finite field and the vector generalized Bent functions over its prime field; The existence or not of the perfect nonlinear functions with any variables over any finite fields is offered, and some methods are proposed to construct the perfect nonlinear functions by using the balanced p-polynomials over finite field.

重新定义了有限域上逻辑函数的Chrestenson线性谱，考察了新定义的Chrestenson线性谱和原来的Chrestenson循环谱的关系，并利用一组对偶基给出了有限域上逻辑函数的反演公式；给出了有限域上随机变量联合分布的分解式，并利用随机变量联合分布的分解式对有限域上逻辑函数的密码性质进行了研究；给出了有限域上逻辑函数与相应素域上向量逻辑函数的关系，探讨了它们之间密码性质的联系，如平衡性，相关免疫性，扩散性，线性结构以及非线性度等；讨论了有限域上逻辑函数各类线性结构之间的关系，并给出了任意点都是线性结构的逻辑函数的全部构造，由此引出了有限域上的"泛仿射函数"的概念；考察了有限域上逻辑函数的退化性与线性结构的关系、退化性与Chrestenson谱支集的关系；给出了有限域逻辑函数非线性度的定义，利用有限域上逻辑函数的非线性度与相应素域上向量逻辑函数非线性度的关系，考察了有限域上逻辑函数的非线性度与线性结构的关系；利用有限域上逻辑函数与相应素域上向量逻辑函数的关系，揭示了有限域上的广义Bent函数与相应素域上的广义Bent函数的关系，以及有限域上的完全非线性函数与相应素域上向量广义Bent函数之间的关系；给出了任意有限域上任意n元完全非线性函数存在性与否的完整证明，并利用有限域上平衡的p-多项式的性质给出了有限域上完全非线性函数的一些基本构造方法。

For this purpose, the structure of a finite group G with |G: N|=p or pq is determined.

为此，我们首先对不同的素数p，q，确定了满足条件|G∶N|=p或pq的有限群的结构。

Dorea advanced kernel estimation p of p ,which is a general density with respect to a σ-finite measure v on.ξ is a σ-field of subsets of ER. Some qualities have been gotten. And it has been proved that those results consist of theories of classical kernel estimation for continual density and further extended theories of disperse kernel estimation.

Y Dorea在2001年提出了关于上的σ-有限测度v的一般密度函数P的核估计几，其中ER，ξ是E的一个σ-域，得到了一些结果，并且验证了所得结论包含经典的连续密度核估计的结论，还进一步延伸了离散分布核估计的结论。

Let P be a Markov operator in, and Q any ergodic Markov operator possessing finite invariant measure. In this note a simple and direct proof of the equivalence of the mixing property for Q and the ergodicity for Cardesian product PQ is given.

设P是L上的Markov算子，Q是任一具有有限不变测度并且遍历的Markov算子，在这篇注记中我们给出了P的混和性和Cartesian积P×Q的遍历性相互等价这一结果的直接而简单的证明。

The method includes steps: each point in sequence x with length L, i=0, 1, 2,apostrophe L-1 is served as a independent variable of k order polynomial; changing coefficient of polynomial to generate multiple sequence f with length L, where k is nonnegative integer; operation in polynomial is carried out in Galois Field GF, where Q=pm, p as a prime number, and m as nonnegative integer; assigning generated sequences to multiple sectors to set of create biased sequences for each sector; it is different in constant terms of polynomial, and identical to other coefficients of coefficients corresponding to sequence assigned to same sector; creating corresponding time - frequency pattern unit from biased sequences of the sector; repeating TFP unit with equal interval in frequency domain so as to obtain integrated TFP.

本发明涉及一种时频资源的分配方法，所述方法包括：把一个长度为L的序列{x，i＝0，1，2，…L-1}中的每一点作为一个k次多项式的自变量，改变多项式的系数生成多个长度为L的序列{f}，其中k是非负整数，多项式中的运算在伽罗华域GF中进行，其中Q＝p m ，p是一个素数，m是非负整数；把生成的序列分配给多个小区，生成各小区的偏置序列集合，其中分配给同一个小区的序列所对应的生成多项式的常数项不同，其他项的系数都相同；由所述小区的偏置序列生成对应的时频图案单元，将时频图案单元经过频域等间隔重复，得到完整的时频图案。

The SDB eclogites, on the other hand, were strongly overprinted by a high-pressure granulite-facies metamorphism under conditions of p=1.9~2.0 GPa and T=873~948℃, followed by temperature and pressure decrease to the amphibolite-facies. The process of temperature increase with decreasing pressure from UHP eclogite to high-pressure granulite suggests that the SDB eclogites exhumed at low speed and underwent strong thermal relaxation at a level of crust-mantle transition or thickened lower crust.

都兰南带榴辉岩折返过程中经历了高压麻粒岩相变质的改造，高压麻粒岩阶段的p-T条件为p=1.9~2.0 GPa，T=873~948℃，并进一步经历了角闪岩相退化变质，说明都兰南带榴辉岩折返速率较慢，发生了壳幔过渡带层次的强烈热松弛。

The factors of 16PF were positively correlated with SCL-90 total score (P.05) except gregariousness,high intelligence,fantasy,and worldly-...

除乐群、聪慧、幻想、世故外，16PF各因素均与SCL-90总分显著相关(P.05)；SCL-90各因子分均与16PF次级因素心理健康及内外向显著负相关(P.01)。

Dietary guaiacol significantly (P＜0.05) decreased contents of Ca and Sr, but significantly increased Mg content in shell.

愈创木酚显著降低贝壳中Ca和Sr的含量，然而显著升高贝壳中Mg的含量（P＜0.05）。贝壳中P和Zn的含量不受愈创木酚的显著影响。

It read:'Woody Allen says he ate at a restaurant that had O.P.S. prices—over people's salaries.' Dreadful by any standards, and thus ideal for the likes of Winchell, Ed Sullivan and Earl Wilson, whose columns ate up more material than the gypsy moth caterpillar.

上面写着：'伍迪艾伦说他曾在O.P.S价位的酒店吃饭。O.P.S-- over people's salaries' 他的专栏博采众家之长，揉进各种由于摒弃种种写作框架，思维方式与Winchell译注1， Ed Sullivan译注2 Earl Wilson译注3相似。

Purpose: To study the role of P-glycoprotein in chemotherapy resistance of the head and neck malignancies.Method: The expression of P-gp in 50 histological specimens of head and neck cancer were detected by monoclonal antibody MRK 16,in-cluding 38 squamous cell carcinomas, 9 adenocarcinomas. 3 sarcomas.

目的：探讨头颈部恶性肿瘤P-糖蛋白在化疗耐药中的作用、方法：用单克隆抗体MRK16检测50例头颈部恶性肿瘤（鳞癌38例，腺癌9例，肉瘤3例）组织标本中卜糖蛋白的表达。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。