all over the plains
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5The boundary between the Great Plains and the interior plains is marked by a series of low escarpments that indicate the eastern edge of the mantle of loose sediments, eroded from the Rocky Mountains, that covers the plains.
在边界的大平原和内陆平原正面临着一系列的低风压显示东部边缘的外套膜松散沉积物,被侵蚀的山脉,占地平地。
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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。
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The Masai, who were my neighbours on the other side of the river, at that time set fire to the bast-dry plains to get new green grass for their cattle with the first rain, and the air over the plains danced with the mighty conflagration; the long grey and rainbow-tinted layers of smoke rolled along over the grass, and the heart and the smell of burning were drifted in over the cultivated land as from a furnace.
我的一个邻居玛赛,住在我家门口小河对岸。那年雨季快来临的时候,玛赛在草原上放了一把火,打算烧光草杆儿,好让草地在初雨和草灰的滋润下长出新草,给自家的牛羊准备好饲料。平原上炙热的空气与火苗翻飞起舞。长长的浓烟夹裹着斑斓的火焰在向远处蔓延,我这边的&文明世界&不久也感受到了对岸飘过来的&火炉&般的温度和气息。
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over all 总的来说:all over
I can't afford the car. It is much too expensive. 我买不起这辆车,它... | 5. all over 遍及,到处,全身; over all 总的来说,大体上. 如: | You can find people like him all over the world. 你到处可以看到像他这...
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fly over the mountain:飞越过山顶 all over the world 遍及世界
look at the colorful lights over your head 看你头上的彩灯 | fly over the mountain 飞越过山顶 all over the world 遍及世界 | over one hundred people 一百多人look after 照顾
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over-anxious over-eager over-cautious over-confident:过于
over- 过分的 overeat over-react overdo oversesimate | 过于 over-anxious over-eager over-cautious over-confident | 过量的 overdose overcharge overweight overwork