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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。

Even as it was, the decision to "pull out" of China was finely balanced.

即使像现在这样，"退出"中国的决定也经过了精巧的权衡。

The cost that mentioned not complete information, processing news covers on the west and function of unconventional policymaker target did not capture the vital part of finite and rational concept, mainstream economics can be in this 3 important document complete reason is best and decision-making with all and balanced analysis absorb entirely inside frame.

西蒙提到的不完全信息、处理信息的费用和非传统的决策者目标函数没有抓住有限理性概念的要害，主流经济学可以将这三要件在完全理性最优决策和全部均衡的分析框架内全部吸收。

Tz summation formula and an extension formula of Sears\' terminating balanced _4Φ_3 series transformation formula and an extension involving multiple sum about finite Heine\'s _2Φ_1 transformation formula are given.

应用推广后的算子，我们给出了q-Paff-Salschütz和公式的推广、Sears终止型的4Φ3变换公式的推广以及多重的有限(来源：a5ABd7C论文网www.abclunwen.com)Heine 2Φ1变换公式。

Yet by the standards of the industry, Mr Fink retains a balanced lifestyle.

然而，从金融行业的标准来看，芬克保持着平衡的生活方式。

"There is a fish flour made from waste products of the sea which, once its fat has been removed, can be added to wheat flour to provide a balanced protein diet needed desperately in many parts of the world, especially in the tropics."

有一种用海产废弃物生产的鱼粉，只要经过脱脂处理，即可加入普通面粉中，成为世界上许多地区迫切需要的平衡蛋白食品。

It has been stated by the guru of "fishlike" swimming,"the most hydrodynamically perfect position that your body can be in is balanced, lying on your side, one arm extended for length - not so very different from the way fish do it."

这一切起源于'类似鱼的'游泳指导。"最符合流体力学的身体姿态是保持平衡，侧躺，一只手臂尽可能前伸-和鱼的做法没什么区别。"

The square purple flannelette of balanced sizes on the wall, tablecloth, sofas and pattern on cloth, with its dark and light purple combination, they project a strong taste of French fragrance.

紫色能引发典雅联想，故在餐厅中扮演着主角：墙面上运用大小均衡的紫色方志绒布，还有餐布、沙发、圆案布饰，一系列深浅的紫色营造了浓郁的法国女人香味。

On both sides of the bridge is semi-closed, mutual symmetrical 5 with reinforced concrete frame of shield block vault glazing, used for daylighting, Upper is flat-roofed, similar to the bridge deck, general cement the top sides balanced stands mutual symmetric spire shape.

桥的两边是半封闭的，相互对称的五对用钢筋拦护的拱顶水泥框架的玻璃窗，用来采光；上层是平顶，类似一般水泥大桥的桥面，顶面的两边均衡地耸立着相互对称的塔尖状装饰。

In the mouth: potent, flavourful, and elegant tonality of the tannins and ripe fruits. Delicious, finely balanced acidity and fruitiness that remain in the mouth.

口感强烈甘美，完美地平衡了多种野生果香和酸度，优秀的但宁和熟果果香给予了丰富耐久的回味。

Sodium citrate; calcium carbonate; calcium hydroxide; potassium bicorbonate; magnesium carbonate; ferrous sulphate; Zinc sulphate; copper sulphate; manganese sulphate; potassium iodide; sodium selenite.

柠檬酸钠；碳酸钙；氢氧化钙；碳酸氢钾；碳酸镁；硫酸亚铁；硫酸锌；硫酸铜；硫酸锰；碘化钾；亚硒酸钠。

All this to say that I'm glad filmmaking hasn't become completely ironic. I can enjoy an ironic film as much as the next person, but they usually involve a message of some sort. One that's delivered in a smirkingly clever way that requires little in the way of talent.

所有这些都是说，我很高兴电影制作没有变成完全讽刺艺术，我可以和下一个人一样享受讽刺电影的乐趣，虽然他们经常会被划归到一定级别，技术方面不需要很高的才能。