群

Let F=LF be a s-closed local formation such that every minimal non-F-groups is solvable. It is proved that 1 If every cyclic subgroup of of order 4 and every minimal subgroup of G are contained in, then G is a F-group. 2 If there exists a normal subgroup N of G such that G/N∈F and every cyclic subgroup of N of order 4 is weakly c-normal in G and every element of N of prime order is contained in Z(superscript f subscript ∞), then G is a F-group.

设F=LF是一个子群闭的局部群系，满足每个极小非F-群是可解群，证明了：1如果G的任意极小子群和任意4阶循环子群都含于Z中，那么G是F-群；2如果存在G的正规子群，使得G/N∈F，且N的任一4阶循环子群在G中弱c-正规，N的任一素数阶元含于Z中，那么G是F-群。

In GORP, gateways share part of the work of cluster-heads for maintaining routing and transmitting data. In this way, the burden of cluster-heads was reduced and cluster-heads were no longer the bottleneck of the network. When the merging of clusters occurs, which is caused by the moving of a cluster-head to the range of another cluster-head, the moving cluster-head should be set as an ordinary node, and the original still cluster-head as the cluster-head of the new cluster.

在该协议中，网关在路由维护与数据传送中分担群首的部分工作，以降低群首的负担，使得群首不再成为整个网络的瓶颈；当群首移动导致群合并时，让运动群首作为第二个群的普通成员，原来静止的群首担任新群的群首，最大限度保证群的稳定性。

In GORP, gateways share part of the work of clusterheads for maintaining routing and transmitting data. In this way,the burden of cluster-heads was reduced and cluster-heads were no longer the bottleneck of the network. When the merging of clusters occurs, which is caused by the moving of a cluster-head to the range of another cluster-head, the moving cluster-head should be set as an ordinary node, and the original still cluster-head as the cluster-head of the new cluster.

在该协议中，网关在路由维护与数据传送中分担群首的部分工作，以降低群首的负担，使得群首不再成为整个网络的瓶颈；当群首移动导致群合并时，让运动群首作为第二个群的普通成员，原来静止的群首担任新群的群首，最大限度保证群的稳定性。

In this chapter, firstly, the definition of rough semigroups is given afresh. Then based on rough groups, rough subgroups, rough cosets, rough invariant subgroups, some properties of rough subgroups and rough invariant subgroups and the concept of rough quotient groups are introduced. Finally, based on some concepts of homomorphism and isomorphism of rough groups, basic homomorphism theorem and isomorphism theorem of rough groups are put forward and proved.

在这一章中，首先重新给出了粗糙半群的定义，其次在粗糙群、粗糙子群、粗糙陪集、粗糙不变子群的基础上，给出了粗糙子群的若干性质、粗糙不变子群的三个重要性质和粗糙商群的定义，最后在粗糙群同态与同构的基础上，给出了粗糙群同态基本定理与同构定理。

As well, ACA outperforms GA in performance on average. 2. Through the analysis and studying of Ant colony algorithm and Flow shop scheduling problem, a construction graph is introduced. Two ant colony algorithms are proposed and analyzed for solving the flow shop scheduling problem with the objective of minimizing the flowtime. The Initialization of parameters and updating of trail intensities and probability is described respectively and a newly local search technique is proposed. Last is the experiment and the comparison shows that the PACA performs better than the FACA in the case of relatively large-sized problems than in the case of relatively small-sized problems.

通过对基本蚁群算法的实现过程和流水调度问题进行研究，给出了求解流水调度问题的解构造图，提出了两种蚁群算法来求解以总流程时间最小为目标的流水调度问题-FACA 蚁群算法和PACA 蚁群算法，分别给出了FACA 蚁群算法和PACA 蚁群算法的参数初始化方式、相对应的信息素更新方法和概率分布规则，并提出了局部搜索模式，最后进行模拟试验，对这两种算法进行比较，试验结果表明：对于较大规模的问题，PACA 蚁群算法要优于FACA 蚁群算法，而对于较小规模的问题，FACA 蚁群算法优于PACA蚁群算法。

For organizing vegetation submodel, started with the bottom-up gateway to agglomerate plot-data. The vegetation types must be confirmed before predictive vegetation mapping, therefore designed a transforming program to combine 585 plot-data from different surveys for the purpose. But the result of the classification and ordination of the combined plot-data couldn't display comprehensive vegetation types of Taiwan, because the plots were insufficient and disproportionate. Consequently, this study adopted the top-down gateway to divisive vegetation. After referring to Taiwan and east-Asia vegetation research papers and American national vegetation classification system etc., the physiognomic classification scheme of Taiwan had been drafted as vegetation submodel. The scheme included 4 levels: 2 classes, 5subclasses (subarctic, coldtemperate, cooltemperate, warmtemperate, subtropical), 8 groups (based on phenology and types of predominant leaf) and 16 formations (based on moisture regime and predominant taxa). And, the scheme dealt completely with the diverse nomenclatures of vegetation types in the past.

为建立植群亚模型，首先依「整合大量样区资料，由下而上的低阶植相聚类」之途径，设计建档程序及转档程式，成功整并不同来源之585个样区资料，但因样区数目不足且分布不均，分析结果未能显示出台湾完整的植群类型；故转循「预先设定植群类型，由上而下的高阶形相分类」之途径，经参考他国植群分类系统及台湾、东亚植群分类研究报告，订定分类原则及架构，提出4阶层之潜在植群形相分类方案：(1)寒原、森林2类群系纲；(2)亚寒带、冷温带、凉温带、暖温带、亚热带5类群系亚纲；(3) 8类群系组表徵优势植群之叶片的物候与形态；(4) 16类群系说明其水分境制及优势分类群；此方案统一处理了过去各种有关植群划分之纷岐名制，方案之各阶植群类型亦即本研究之植群亚模型。

The 6 saury landed size-classes of Taiwan can be assumed as 4 groups: Extra-large, No.1 and No.2, No.3, and No.4 and No.5 size-classes, which could roughly correspond to the 1 + year-class, and the autumn, winter, and spring spawned cohorts of the 0 + year-class, respectively.

这六种台湾缷鱼规格之秋刀鱼，可被归属成四群：特大型群、一号型与二号型群、三号型群、及四号型与五号型群。这四群鱼大约可分别对应为1+龄年级群、0+龄年级之秋季产卵群、冬季产卵群及春季产卵群。

In this paper, by using conditional cnormalityof some special subgroups(such as minimal subgroups, maximal subgroups, Sylowsubgroups, maximal subgroups of Sylow subgroups)of G, we obtain some sufficient or necessaryconditions for a finite group to be solvable, supersolvable, nilpotent. Some previouslyknown results are generalized.

本文结合有限群的某些特殊子群(如，极小子群，极大子群，Sylow子群，Sylow子群的极大子群)的条件c-正规性来研究有限群的可解性，超可解性，幂零性，得到了有限群可解，超可解，幂零的若干充分和充要条件，推广了有限群的一些结果。

Floral organ determination is best explained by the ABCDE model postulated by genetic studies of Arabidopsis thaliana. Sepals are determined by A and E class genes; petals are determined by A, B, and E; stamens by B, C, and E; and carpels by C and E class genes. A, B, C, and E class gene lineages are known having duplicated several times during the evolution of angiosperms. One of the noted major duplication events occurred in the origin of the early angiosperms, leading to the formation of subgroups of B/C/D/E class. Another one occurred near the basal eudicots and gave rise to further subgroups in A/B/C/D/E class genes among core eudicots. The phylogenetic position of the family Buxaceae is located right where the second major duplication of ABCDE genes might have occurred, which is supported by multiple gene (nuclear 18S rDNA, chloroplast rbcL and atpB) phylogenetic analyses.

目前经由模式植物阿伯芥的研究，建花部器官决定基因的调控，即花萼由A、E 群基因共同决定，花瓣由A、B、E 群基因，雄蕊由B、C、E 群基因，而心皮由C 和E 群基因决定。A、B、C、E 四群基因在被子植物的演化过程中发生过次的复制事件，其中比较重要的一次发生在早期被子植物演化出之时，形成B/C/D/E 群基因的次系群；另一次复制事件则发生在真双子植物基群附近，形成仅於核心真双子植物的A/B/C/D/E 群基因之次系群。

It is found that (1) the aquatic protozoa communities consists of thirty-six taxa in twenty-six genera and twenty-four families;(2) the groups of ecological function include: Photosynthetic autotrophs (P groups, 25%), Bactivores detritivores (B groups, 44.44%), Saprotrophs (S groups, 2.78%), Algivores (A groups, 11.11%), Nonselective omnivores (N groups, 11.11%) and Raptors (R groups, 5.56%);(3) according to the characteristics of karst water, substrates and mosses, four ecological types and eight sub-types of aquatic protozoa communities can be distinguished.

2水生原生动物群落含6个功能营养群。其中，原生动物光合营养群（P群，Photosynthetic autotrophs），占总数的25%；细菌取食者群（B群，Bactivores detritivores），占总数的44.44%；腐生营养类群（S群，Saprotrophs，占总数的2.78%；食藻者类群（A群，Algivores），占总数的11.11%；非选择性杂食者群（N群，Nonselective omnivores），占总数的11.11%；食肉者群，占总数的5.56%。(3)根据岩溶水流、基质和藓类植物特征，划分该区附生水生原生动物生态群落为4个类型和8个亚类型。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。