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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。

In the early seventies, Whiteway et al. have criticized Flory for deriving, the MWD function of A_a type polycondensate and proposed a new MWD function themselves.

七十年代初Whiteway等人批评了Flory导出的A_a型缩聚物的分子量分布函数并建议了一个由他们导出的新分布函数。

In the first group, photosensitizer was injected intravenously quickly before irradiation as in the previous treatment. In the second group, photosensitizer was injected intravenously slowly throughout the first 15min of irradiation. In the third group, hot fomentation was made on the treated area for 30min, then photosensitizer was injected quickly as in the first group.

3建立PWS组织光学模型,采用Monte carlo方法模拟了临床常用532nm激光在PWS组织中的分布特点,分析皮肤各层组织对其吸收的特点、组织结构(表皮黑色含量、病变血管深度等)以及治疗中氧含量变化对光能流率在PWS组织中分布的影响。

Dammann, are based on Fraunhofer diffraction and are one kind of the most effective elements to generate array for high diffraction efficiency with good uniformity.

Dammann提出的达曼光栅因其效率高,光束分布均匀性不受入射光强分布影响等优点,成为目前最有效的分束器件之一。

In order to promote the viewing freedom, to be particularly applied in many indoor environments where a view covering a full solid angle in 3D space is required, a new representation called θ-φ combination image and a hybrid approach associated with the representation are presented this chapter.

该表示将场景的信息投影在由经纬度构成的2D平面上;不但表示了场景的光强分布,同时也表示了相应的距离分布。本章还给出了基于这一新表示的交互算法,包括环视、俯仰视、连续变焦以及漫游等。

The numerical model based on energy conservation equation, takes into account of Gauss distribution, in space and time of laser spot, the finite size of sample, the temperature dependence of physical thermal properties, and the surface heat losses due to convection and radiation.

计算模型在能量平衡方程的基础上,将入射的脉冲激光在时间与空间上的分布以Gauss分布考虑,同时考虑工件尺寸、工件材料热物理性质及对流辐射造成的表面热损失等对温度场的影响。

Likewise,the axile potential and intensity of the system were calculated by Gauss elimination method and cubic spline interpolation.Furthermore,the electronic trajectory was traced by the changing steps Runge-Kutta method,the final size of e-beam about anode was true of demand.

在此基础上,通过Gauss消元法和三次样条插值法等解得了系统对称轴上电位分布以及内部场强分布,并利用四阶Runge-Kutta法追踪了电子从阴极开始到阳极入口处的运动轨迹且得到了合适的束斑大小。

Caloreas var. fargesii. During seedling stage, the radicle of Ph. rigidula seed burst the putamen at first. After attaching to the trunk of its host plants, the root tip of Ph. rigidula formed a haustorium that contained many mitochondrias, and then invaded the trunk of its host.

硬序重寄生为半寄生性亚灌木;在观察点,主要寄主为桑寄生科的显脉松寄生(Taxillus caloreas var.fargesii);硬序重寄生主要分布在路边、林缘空地等向阳处,并以小的缀块形式分布。

Based on the data of hydrography, measured waves, sediments, drilling Quanternary strata, microorganism, sporopllenin, landforms, climate and others in Zhoushan Islands channels, the strait channel effects are systematically studied.

本文根据舟山群岛峡道内分布于虾峙门、马岙、金塘水道和册子水道的水文泥沙实测资料,北仑港、野鸭山和虾峙门口门区的波浪观测资料,北仑电厂运煤码头前沿的第四纪地层钻孔资料、微体古生物鉴定和孢粉分析资料和虾峙门口门区5米浅钻资料,分布于金塘水道、册子水道、马岙三江口海域、虾峙门口门区和杭州湾南部的海底沉积物采样分析资料,册子水道东部野鸭山潮滩和马岙三江口潮滩的沉积物采样分析资料、潮滩地貌的踏勘资料、舟山群岛峡道地区的海图资料以及舟山群岛地区气象气候等其它资料,对舟山群岛峡道效应进行了综合性的系统研究。

The objective of this paper is to evaluate various spatial interpolation methods, including ordinary Kriging, simple Kriging, lognormal Kriging, universal Kriging, disjunctive Kriging and inverse distance weighting interpolation for estimating soil surface Hg content with lognormal distribution, the linear and second-order polynomial trend, and t...

以分布类型为对数正态分布,同时具有一阶和二阶趋势效应的土壤重金属Hg为例,分别应用普通克立格法,简单克立格法,对数正态克立格法,泛克立格法,析取克立格法和距离反比权重法等 6种内插方法对其进行了估值,综合比较了各种内插方法的预测误差、统计特征值及插值结果分布图。

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We are in a real jam.

我们的麻烦大了。

Hey, it's Ahmet from India, that foreign exchange guy.

看,那是印度的阿曼特,国际交换生

Because you can make victims of a hypothetical, what is there for not matter.

因为你能对一个灾民作假设,还有什么作不出的事。