• Kyungpook Mathematical Journal
• /
• v.56 no.3
• /
• pp.657-668
• /
• 2016

Given a partition ${\lambda}=({\lambda}_1,{\lambda}_2,{\ldots},{\lambda}_l)$ of a positive integer n, let Tab(${\lambda}$, k) be the set of all tabloids of shape ${\lambda}$ whose weights range over the set of all k-compositions of n and ${\mathcal{OP}}^k_{\lambda}_{rev}$ the set of all ordered partitions into k blocks of the multiset $\{1^{{\lambda}_l}2^{{\lambda}_{l-1}}{\cdots}l^{{\lambda}_1}\}$. In [2], Butler introduced an inversion-like statistic on Tab(${\lambda}$, k) to show that the rank-selected $M{\ddot{o}}bius$ invariant arising from the subgroup lattice of a finite abelian p-group of type ${\lambda}$ has nonnegative coefficients as a polynomial in p. In this paper, we introduce an inversion-like statistic on the set of ordered partitions of a multiset and construct an inversion-preserving bijection between Tab(${\lambda}$, k) and ${\mathcal{OP}}^k_{\hat{\lambda}}$. When k = 2, we also introduce a major-like statistic on Tab(${\lambda}$, 2) and study its connection to the inversion statistic due to Butler.

• Journal of the Korean association of regional geographers
• /
• v.10 no.2
• /
• pp.466-478
• /
• 2004

Regional learning in social studies has an important educational meaning in that it is a tabloid edition of social studies and it also satisfies the regionalization of national curriculum. Social studies in Korea have mainly been led by the social study curriculum of elementary school. But the local textbook which was currently used in elementary school is structured in a negative meaning of regionalization rather than positive one. It is suggested in this study that the regional learning of social studies in middle school should be pursued by the co-work of teachers and students. For this purpose, the theoretical and practical processes to develop the local textbook are compared between two distinctive localities such as Sancheong and Seosan. At first, the relative ratio among the six strands is decided to develop several themes for regional learning, considering the landscape, region-related discourses and ecological environments in each region. Secondly, several themes are extracted to organize the contents of local textbook in each region. Lastly, examples of content-organization are suggested in each region. The processes above are just an example of content-organization, not a fixed one. The process, themes extracted, and the content-organization for each region may be changed according to the school location, local situation, and the quality of classroom.

• The Journal of Natural Sciences
• /
• v.12 no.1
• /
• pp.85-101
• /
• 2002

Landscape civilization in Korea originated in Cochosun(Ancient Chosun) era, this again succeeding to the period of the Three States - Koguryo, Baekje and Silla. The distribution of this culture showed great progress with the association of two particular religions - Buddhism and Confucianism.. Landscape development in Korea has greatly changed during specific times of both cultural and political upheaval in various societies. Religion has had a great deal of influence on landscape development. Traditionally Korean people have had a tendency to favor more natural landscape than man-made structures in landscape : This trend was a quite different concept from that of other oriental countries, not to mention of western countries. In particular, Buddhism influenced natural landscape, far from artificial craftsmanship in landscape. Oriental garden is a typical 'tabloid edition' of natural landscape which consists lakes, islands, ponds, stone monuments, and fruit trees, quite often raising animal in parks and courtyard style house. This style of garden influenced in Chosun Dynasty landscape. Landscaping was usually for royal gardens, cemetery parks or high level of officer's residence. However, landscaping in Chosun Dynasty which had established Confucianism as a state religion gave us a specific designation. It was neither ethnic imitation of the garden style of both China and Japan : People were used to enjoy nature-friendly landscape or sink into the ecstasy of natural scenery itself. The trend that landscape or establishing garden had been aimed at royal family- or bureaucrat-centered formatives was to become an obstacle to the development of landscape techniques in Korea. An example represented in a beautiful garden with fabulous decoration which established in places. This was completely not fit for the nation's feeling.