• 대한수학회보
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• 제51권4호
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• pp.1229-1240
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• 2014

In this paper we provide three results involving large Schr$\ddot{o}$der paths. First, we enumerate the number of large Schr$\ddot{o}$der paths by type. Second, we prove that these numbers are the coefficients of a certain symmetric function defined on the staircase skew shape when expanded in elementary symmetric functions. Finally we define a symmetric function on a Fuss path associated with its low valleys and prove that when expanded in elementary symmetric functions the indices are running over the types of all Schr$\ddot{o}$der paths. These results extend their counterparts of Kreweras and Armstrong-Eu on Dyck paths respectively.

• 건축역사연구
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• 제25권1호
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• pp.69-83
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• 2016

Classic rationalist architecture came to play an important role in modern architectural discourse in the 1970s. But it has declined since the death of its most representative architects Aldo Rossi and O. M. Ungers. However, the phenomenon to be noted is that a new momentum was brought to the German architectural scene through some remarkable achievements by the disciples of Ungers after 2000. This study aims to read this phenomenon on the topography of german architecture and to catch out what potential it has to create balance in the international architectural debate. It is not the aim to analyze a single architect in detail, but to compare some important architects like Hans Kollhoff, Max Dudler, Eun-Young Yi and Uwe $Schr{\ddot{o}}der$. And further the study will try to give an overview of how far this phenomenon can change the topography of the German architectural scene. The buildings that have been examined here are Daimler Chrysler Building, Grimm Zentrum, Stuttgart City Library, and Haus Hundertacht. Through this study, it was found that some architects continue the attitude and the architectural languages of O. M. Ungers and develope their own unique architecture. And this phenomenon has the potential to influence todays architectural debate on a global scale.