退化分布

Finally,we obtain the singular matrix Dirichlet andthe singular matrix Beta distribution,and the density functions of them are ob-tained.

最后，由退化矩阵Liouville分布构造了退化矩阵Dirichlet分布、退化矩阵Beta分布，得到了它们的密度函数的表达式。

In this paper we define distribution cosine functions covering the degenerate case. We also consider the degenerate distribution function generated by a multi valued operator A, its relation to the integrated cosine function and the wellposedness of the degenerate abstract Cauchy problem.

引 言分布半群的概念最早由 L ions在 6 0年代引入，近年来，其他类型的分布半群相继被定义和讨论[1— 4]，由于研究退化线性方程的需要，多值算子对应的 Cauchy问题也开始受到人们关注，在 [2 ，4]中有退化情形的分布半群的定义及研究。

In chapter five, let {Xt,i 1} be ρ-mixing sequences with identical distributions, which belong to domain of normal attraction with non-generational and stable distribution. With probability one, we have limsup a.s.

第五章，设｛X_n，n≥1｝是同分布ρ-混合序列，其分布属于特征指数为α(0＜α＜2)的非退化稳定分布的正则吸引场，证明了依概率1有

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 this paper,we discuss homogeneous spherical distribution,some singularmatrix distributions,distribution of size-shape statistic.

本文讨论了齐性球对称分布、若干与球对称分布有关的退化分布、形状和容量统计量的分布。

The topology analysis of vector field around "a singular point" is refered in the study of the topology of three-dimensional symmetric tensor field around a simple degenerated point, which can be classified into three types of hyperstreamline sectors:"hyperbolic sector","parabolic sector" and "elliptic sector".

本文参考矢量场中"奇点"附近的矢量轨迹分布结构，研究了张量场中"退化点"附近的特征向量分布形态。确定了"退化点"附近"超流线体"轨迹的三种形态。"抛物扇区"、"双曲扇区"、"椭圆扇区"及其这些扇区的边界。

A cDNA segment was isolated from M. meretrix larvae. The results of caspase in situ detection in larval developmental stages revealed that there were activated caspase from L1 to L3, indicating caspase is involved in the whole developmental process. The main apoptosis area was found in velum at L3 before metamorphosis, indicating the degradation of velum might be the process of apoptosis. The larvae before metamorphosis were treated by caspase specific inhibitor to analyze the role of caspase in this process. The results indicated that caspase have function metamorphosis.

根据caspase在不同物种中的保守区域设计简并引物，在文蛤幼虫中扩增到cDNA序列片段；检测有活性的caspase在文蛤幼虫各发育时期的分布部位，发现其在L1至L3期幼虫中都有分布，说明整个幼虫形态变化过程中都有caspase的参与；细胞凋亡检测结果显示，幼虫主要发生细胞凋亡的部位在L3期幼虫的面盘，即变态过程中要退化的器官，说明细胞凋亡可能是文蛤幼虫变态过程中面盘退化的主要机制；用caspase特异性抑制剂处理变态前幼虫，发现幼虫变态率下降，初步验证了caspase在文蛤幼虫变态过程中的作用。

The discussions declare that the least condition can be represented by three items, that is, the total number, divistion ratio and spatial distribution of character points. There are also three possible cases involved in least conditions. They are, undegenerate, degenerate and seriously degenerate ones.

对于特征点总数、特征点的分配、特征点的分布等三项内容；非退化、退化、严重退化的三种情形；最小的必要条件、充分条件等，进行了广泛深入的讨论，并给出了四个判别准则及单谷性的有关结论，从而深化了对于评定理论的认识。

It's the first time to discover the existence of variated flowers in syconia of Ficus awkeotsang Makino. There were two types of variated flowers in morphology : umbrella-inflorescence-shape and solitary.The variated flowers in female syconia grew in female flower area and degenerated flower area, with female, female degradation or hermaphrodite degradation. The variated flowers in male syconia grew in the gall flowers area with 95.68％ male structure and 4.32％ female structure.

首次发现爱玉子花序中变异花的存在，在形态上有伞形花序状与单生两种类型，雌花序中的变异花分布在雌花区和退化花区，为雌性、雌性退化或两性退化结构；雄花序中的变异花均生长在瘿花区，其中95.68％为雄性结构，4.32％为雌性结构。

But the distribution patterns became the temporal clump distribution in the S. bungeana community owing to the effect of short-living species.

从本氏针茅群落向油蒿群落以及牛心朴子群落的退化过程中，其分布格局由随机分布分化成随机分布和聚集分布。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。