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In addition, according to PAPRs of sequences having early two elements fixed as '0' and the number of sequences of a coset including the sequences having early two elements fixed as '0,' it is possible to quickly and efficiently analyze PAPR distribution of all sequences.

另外，根据两个开始项被固定为"0"的序列的PAPR以及包含两个开始项被固定为"0"的序列的同余类序列的序列数量，能够快速而有效地分析所有序列的PAPR分布。

Genetic diversity and phylogenetic relationship in goldfish were examined using mitochondrial D-Loop partial sequences at eight representative varieties of goldfishes and wild crucian carp. The eight representative varieties were Red Common Goldfish, Red Fantail, White Oranda with Red Carp, White Pearlscale, Red Tigerhead, Black Moor, Red Moor with Butterfly Tail and Red Bubble-eye with Dorsal Fin. 699 base-pair nucleotide sequences of Mitochondrial D-Loop were examined and analyzed for genetic polymorphism, Sequences data showed that all 129 sequences were grouped into 17 haplotypes. Nine representative varieties shared same haplotype. Five representative varieties of goldfishes had haplotypes respectively.

采用PCR技术扩增了红草金鱼，红文鱼，红顶白高头，白珍珠，红狮头，红龙睛蝶尾，墨龙睛，红水泡八个品种金鱼和野生鲫线粒体DNA的D-Loop区部分序列，PCR产物经纯化、测序、同源序列比对后获得长度为699bp的核苷酸序列，在129个样本中共检测到了17个单倍型，9个品种共享1种单倍型，5个品种的金鱼(BM， MB， WR， RF， RC)检测到各自独有的单倍型。

The representation of sequences is very helpful for the research of their linear complexity,so this paper we first research trace representation of periodic sequences,and the trace representation of a New Generalized Cyclotomic Sequence of order two of length pq is given,then for 2~mp~n period binary sequences,where p is an odd prime and 2 is a primitive root modulo p~2,we present a relation-ship between the linear complexity and the minimum value k for which the k-error linear complexity is strictly less than the linear complexity and have the upper bound and lower bound of the value k, finally we discuss the k-error linear complexity of legendre sequences,also have the upper bound and lower bound of the value k,and discusses the situation where the linear complexity drop again for some Legendre sequences.

序列的表达形式对于其线性复杂度的研究是十分有帮助的，本文我们首先研究的是周期序列的迹表示，给出了2阶pq长度的扩展分圆序列的迹表示，然后讨论了周期为2~mp~n(m≥2)序列的线性复杂度与使得线性复杂度变小的最小的k值的关系，给出了k值的上界和下界，这里p为奇素数，2是模p~2的本原根，并通过例子讨论了其线性复杂度的稳定性，最后对Legendre序列k-错线性复杂度进行了分析，也给出了k值的上界和下界，并对某些Legendre序列讨论了线性复杂度再次下降的情况。

Our results show that the rate of correlation among the random variables of those output sequences are low although they are not independent; in addition, the output sequences of those combined generators are homogeneous Markov chains which are strictly stationary processes with ergodicity; the output sequences of those combined generators are also proved to summit to the strong law of large numbers and the central limit theorem; finally the computation formula of the rate of the accordance between the output sequences and input sequences of those combined generators is given.

我们的研究结论表明：虽然这些序列中随机变量之间不具有相互独立性，但它们的相关程度却比较低；证明了"停走"生成器，KM_1M_2型组合生成器和加法型组合生成器的概率模型输出序列都是强平稳的和遍历的齐次马氏链；讨论了这些序列的概率极限性质，证明了它们均服从强大数定律和中心极限定理；还分别给出了各类生成器的输出序列与输入序列之间的符合率的计算公式。

Secondly, the properties of output sequences of stop-and-go clocked combiners are discussed. It is proved that the output sequences are stationary and obey strong law of large numbers and central limit theorem. Using the probabilistic model properly built, we analyze the rate of coincidence between the output sequences of two kinds of generators with basic operations and corresponding LFSRs sequences. All the computational formulae are derived. A recursive algorithm for efficiently computing the poster probability of partial input strings and corresponding joint probability is introduced. Moreover, divide-and-conquer attacks on this kind of generators which reconstruct the initial states of the input stop-and-go generators individually are proposed.

其次，分析了一般钟控停走组合生成器输出序列的概率分布性质，证明了生成器的输出序列是严平稳的，且服从强大数定律和中心极限定理；考察了钟控加法型组合生成器和钟控乘法型组合生成器的输出序列和相应的常规钟控下线性移位寄存器序列之间的符合率，给出了符合率的具体计算公式；给出了组合器输出序列段和输入序列段之间的联合分布以及部分输入序列段的后验概率的有效递归算法，进一步提出了利用后验概率对钟控组合生成器进行分别征服相关攻击的方法。

The partial sequences of exon Ⅰ of hormone-sensitive lipase genes in yak, cattle, zebu, and buffalo were analyzed. Comparisons of these sequences and the deduced amino acid sequences with the homologous HSL gene and protein sequences in other mammalian species including pig, human, mouse, and rat retrieved from the GenBank were carried out and finally a phylogenetic tree was constructed using the partial DNA sequences of the HSL genes in all species.

在对牛科中4种动物即牦牛、瘤牛、普通牛和水牛HSL基因外显子Ⅰ部分核苷酸序列进行测定的基础上，与Gen- Bank中其他物种相应基因核苷酸序列、氨基酸序列进行了比对分析，并构建了牦牛与其他物种间分子系统进化树。

After two-cluster testing,branch length testing and relative rate testing ,two sequences(Melantitta nigra and Aythya americana) of 15 Cty b sequences were deleted because thek evolutionary rate were heterogeneous. The divergence between Anseriformes and Galliformes was chosen as an anchor point. Nucleotide sequence and amino acid sequence of 13 sequences data set was used to calibrated Anatidae molecular clocks. The results indicated that amino acid sequence is better than nucleotide sequence when divergence time is calculated with two kinds of sequences. The reliable divergence time of Anatidae were estimated with """"1+2TiTv"""" model.

经过二簇检验、分枝长度检验和相对速率检验，删除2条速率不恒定的序列后，用剩余的13条序列，以鸡形目与雁形目的分歧时间(89.8MYA)为锚定点，用顺序标定法标定鸭科鸟类分子钟的分析结果表明，用&1+2TiTv&分析得到的鸭科鸟类的分歧时间比较可靠；氨基酸序列用泊松校正模型和Γ模型估计的分类单元间的分歧时间则比较一致，表明氨基酸序列更适合用于鸭科鸟类分子钟的研究；用同一基因标定分子钟时，较长序列得到的结果标准误比较小；与核苷酸序列相比，氨基酸序列更适于用作分子钟的标定。

The result of analyzing the base content revealed that only the sequences from Buxus bobinieri have GC bias, especially at the third base of codes, and the GC content is more than 70%. All of molecular phylogenetic trees, based on the Beyesian, MP, and NJ methods, consisted of three major clades. Four sequences from Ceratophyllum demersum were grouped into a monophyletic clade (subfamily Ⅱ). Two sequences out of Trochodendron aralioides nested in subfamily Ⅲ. Another three sequences from Kingdonia uniflora interspersed among different subclades of subfamily Ⅰ.

用贝叶斯法、最大简约法和邻接法构建的CHS基因的分子系统树均由3个主要分支构成，其中一个分支由来自金鱼藻的4个序列聚在一起构成了subfamily Ⅱ，来自昆栏树的2个序列聚在一起网接于subfamily Ⅲ中；来自独叶草的3个序列分散于同一亚家族(subfamily Ⅰ)的不同分支中；而多数种的序列分散在相距较远的两个分支中，构成了两个主要的亚家族subfamily Ⅰ、subfamily Ⅲ。

In this thesis, we study some aspects in analytic combinatorics. The main contents can be summarized as follows. In Chapter 2, by classical umbral method, we obtain some properties and identities of invariant sequences. More generally, we study the self-inverse sequences related to sequences of polynomials of binomial type and the self-inverse sequences related to Sheffer sets, and give some interesting results of these sequences.

本文研究组合分析学中的若干问题，具体内容如下：第二章用经典哑运算方法研究了不变序列的性质及满足的恒等式，随后又推广到更一般的情形，即关于二项式型多项式序列的自反序列和关于Sheffer序列的自反序列。

In a method for retrieving sequences having a minimum PAPR in an OFDM (orthogonal frequency division multiplexing) system, by using characteristics in which all sequences of the OFDM system are classified into cosets having the same PAPR, PAPRs of sequences in which early two elements are fixed as '0' are calculated. A sequence having a minimum PAPR is selected from among the calculated PAPRs, and sequences allocated to the coset in which the selected sequence is included are retrieved as sequences having the minimum PAPR.

在一种用于在OFDM通信系统中恢复具有最低PAPR的序列的方法中，通过利用在其中将OFDM系统的所有序列分成具有相同PAPR的同余类序列的特性，计算两个开始项被固定为&0&的序列的PAPR，在所计算的PAPR中选择具有最小PAPR的序列，并且恢复分配至在其中包含所选同余类序列的序列作为具有最小PAPR的序列。

If you are unfortunate enough to the lovelorn, please tell me, I will help you out, really, please contact me!

如果你不幸失恋了，请告诉我，我会帮助你摆脱困境，真的，请联系我啦！

China's plan to cut energy intensity by 20 percent and pollutant discharges by 10 percent between 2006 and 2010 is a case in point.

中国计划在2006年到2010间降低20%的能源强度和减少10%的主要污染物排放，就是一个这样的例子。