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set over的中文,翻译,解释,例句

set over

set over的基本解释
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置于...上, 指派...管理, 移交

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For an abitrary set X, appropriate order relations on WCL (the set of all weak closure operators), WIN (the set of all weak interior operators), WOU (the set of all weak exterior operators), WB (the set of all weak boundary operators), WD (the set of all weak derived operators), WD*(the set of all weak difference derived operators), WR (the set of all weak remote neighborhood system operators) and WN (the set of all weak neighborhood system operators) can be defined respectively, which make WCL, WIN, WOU, WB, WD, WD*, WR and WN to be complete lattices that are ismorphic to CS(X,CS is the set of all closure systems on X.

证明了可以在WCL(X上的弱闭包算子的全体)、 WIN(X上的弱内部算子的全体)、 WOU (X上的弱外部算子的全体)、 WB (X上的弱边界算子的全体)、WD、 WD*(X上的弱差导算子的全体)、 WR(X上的弱远域系算子的全体)和WN(X上的弱邻域系算子的全体)上定义适当的序关系,使它们成为与CS(X,〖JX-*5[JX*5]同构的完备格其中CS(X是给定集合X上的闭包系统的全体。

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。

A set is "less than" another set if and only if the first set is a proper subset of the second set, and a set is "greater than" another set if and only if the first set is a proper superset of the second set.

只有当第一个集合是第二个集合的严格子集时,我们才称第一个集合"小于"第二个集合,同理,只有当第一个集合是第二个集合的严格超集时,我们才称第一个集合"大于"第二个集合。

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She can watch the sun set over the hills:她能在山顶观赏日落

Now she has a fine apartment and a beautiful garden.|现在有一套很好的... | She can watch the sun set over the hills.|她能在山顶观赏日落 | She has a refrigerator, couch, even a television set.|房子里有冰...

Wanna set up over there:准备在这儿建立么

- What's the word? (您的)命令是什么 | - Wanna set up over there? 准备在这儿建立么 | - Let's find some flat land 让我们找块平坦的土地

They set up over 3.40 millino dominoes:他们建立起了3.40万

They broke the Guinness Word Record in 2001. 他们打破了2001年围棋比赛的记录. | They set up over 3.40 millino dominoes. 他们建立起了3.40万. | Hello. I'm Dick. 你好.我是Dick.

will not live to see the sun set over these mountains today:也许不会活着看到今天的太阳落山

...perhaps myself...|......包括... | ...will not live to see the sun set over these mountains today.|也许不会活着看到今天的太阳落山 | For l will be in the very thick of battle with you.|我会跟你们一样冲...

and watching the sun set over the ocean in santa cruz that day:在圣克鲁斯看着夕阳落入大海的那天

you don't want to know,but it's absolutely, absolutely... | "and watching the sun set over the ocean in santa cruz that day,|"在圣克鲁斯看着夕阳落入大海的那天 | i knew that rufus humphrey was meant for...

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