查询词典 generalized

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。

We collected eight field data sets of potatoes farms in five years (2004~2008) from Taiwan Seed Improvement and Propagation Station. Besides, generalized linear models were employed to estimate the proportion of the individual plant infected. By mean square error as criteria. optimal group sizes were changed from 20 to 40 plants per group so that the cost was reduced and the testing process was improved efficiently. Not only can the group-testing design advance the accuracy of testing, but it can reach to the purpose of optimization.

本研究收集行政院农业委员会种苗改良繁殖场所栽种共5年(2004~2008)8个马铃薯用间试验资料，并应用广义线性摸式来估计单株马铃薯病毒病感染率，进而以均方误差为标准，来计算每群集最佳之植株数，结果显示可将原来每群集20株检测植株扩增至40株，这不仅能降低成本且不影响检测之精确度，可达到最佳化之目的。

presented in the paper can also be generalized into finite field F2

本文的结论可以推广到有限域F_2上。

Generalized essential finitely generated -module is defined.

则M一定是有限生成的。7。定义了广义基本有限生成的TS1-模。

"SP1 could be a generalized target of phytochemicals," Firestone said.

" SP1的可能是一个广义的植物化学物质的目标，"凡世通说。

At first, basing on the boundary value problem concerned with fluid-composite structure interaction and characteristic of acoustic wave radiation, a generalized Hamilton variational principle is derived, and the equations of motion based on the finite element method is also derived.

首先，从复合结构与流体相互作用问题的有关混合边值问题出发，针对声波辐射特点，推导了一种广义形式的Hamilton原理及有限元形式的运动方程。

More specifically, Gauss studied the geometry of surfaces based on the first fundamental form (also called "line element") of surfaces and generalized Euclidean geometry to "curved geometry" on surfaces.

局部微分几何的一个里程碑是 Gauss关于曲面的理论，他建立了基于曲面第一基本形式的几何，并把欧几里得几何推广到曲面上"弯曲"的几何。

To our knowledge, this is the first work for the existence of periodic solutions for neutral systems by generalized Schaefer fixed point theorem of seperate contraction mapping.

第四章，讨论了两类依赖于参数的泛函微分系统，用锥上的Deimling不动点定理，证明了系统的正周期解的个数与参数的取值以及非线性项的渐近行为有关。

We prove that the existence and uniqueness of solution of the system of generalized nonlinear variational inclusions by using the fixed point theorem.

运用不动点定理，我们证明了广义非线性变分包含组解的存在性与唯一性。

The micro Taipei City: With the film《The Skywall Is Gone》and the book《Le Citta invisibili》as a secondary. Through the attitude of "flaneur" walk into the arcade or alleys in Taipei City, to described more delicate life experience, and generalized four conclusions : topic-memory, being stagnant, cram life and disorder in Taipei City.

微观的台北城：此阶段的绘本受到蔡明亮电影《天桥不见了》及卡尔维诺《看不见的城市》一书的影响，开始走进城中的骑楼、巷弄之间，开始体验较为细腻的生活经验，并归纳出四个自身较为深刻的主题─记忆中的台北城、日剧时期凝滞的台北城、补习生活的台北城及以「乱」字来形容的台北城。

Looking to bounce back from defeat against Cesena last weekend, the Calabrian boss will be sticking to his tried and tested 4-3-3, with Lopez and Sedivic joined up front in Giampaolo's absence by either Nanni or Plasmati.

鉴于上周末对切塞纳的比赛中反败为胜，这支南方球队将会更坚持其一贯而有效的4-3-3阵型，洛佩斯和塞德维奇将取代受伤缺席的詹保罗，和纳尼或者帕斯马蒂中的一个搭档锋线。

Meanwhile, their exposure to the more freewheeling ways of the West broadened dramatically.

另外，西方较自由的生活方式对年轻人的影响增大。