• 대한수학회논문집
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• 제27권3호
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• pp.477-482
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• 2012

In this note, we investigate partition congruences for a certain type of partition function, which is named as the overcubic partition pairs in light of the literature. Let $\bar{cp}(n)$ be the number of overcubic partition pairs. Then we will prove the following congruences: $$\bar{cp}(8n+7){\equiv}0(mod\;64)\;and\;\bar{cp}(9m+3){\equiv}0(mod\;3)$$.

• 대한수학회논문집
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• 제32권3호
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• pp.565-566
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• 2017

An error in the proof of Theorem 1 of "On partition congruences for overcubic partition pairs" [Commun. Korean Math. Soc. 27 (2012), no. 3, 477-482] is corrected.

• 대한수학회지
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• 제36권2호
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• pp.267-298
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• 1999

A geometric construction of an exact algebraic formula for graded partition functions, of which a special one is the classical unrestricted partition function p(n), from a diophantine point of view is presented. Moreover, the involved process allows us to compute the value of a graded partition function in an inductive manner with a geometrically built-in self-error-checking ability at each step for correctness of the computed values of the partition function under consideration.

• Kyungpook Mathematical Journal
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• 제55권4호
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• pp.837-858
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• 2015

In this paper, we realize the algebra of ${\mathbb{Z}}_2$ relations, signed partition algebras and partition algebras as tabular algebras and prove the cellularity of these algebras using the method of [2]. Using the results of Graham and Lehrer in [1], we give the modular representations of the algebra of ${\mathbb{Z}}_2$-relations, signed partition algebras and partition algebras.

• 국제학술발표논문집
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• The 2th International Conference on Construction Engineering and Project Management
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• pp.573-582
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• 2007

Working spaces in the construction site are much more complicated than completed spaces in the building. There are many researches focus on partition of building spaces. However, few discussed partition sequencing in building construction sites. Space syntax is a set of techniques for analyzing spatial configurations. It has become a useful tool in a variety of researches. Partition sequencing of working spaces should be related to the working direction. However, with convex space and axial line, the partition sequencing became unrelated to the working direction. When critical space is blocked, the partition sequencing with axial line will be changed. It is significant to reveal the impact of the entire spatial structure when some of the working spaces are blocked. This paper discussed the improved partition sequencing theory and highlighted the importance of critical space and analyzed the spatial structure of working space. A real case project was demonstrated in this paper.

• 설비공학논문집
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• 제6권3호
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• pp.302-314
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• 1994

The effects of the inclination of enclosure and partition on natural convective flow and heat transfer were investigated numerically. The enclosure was composed of the lower hot and the upper cold horizontal walls and the adiabatic vertical walls, and a partition was positioned perpendicularly at the mid-height of one vertical insulated wall. The governing equations are solved by using the finite element method with Galerkin method. The computations were performed with the variations of the partition length and Rayleigh number based on the temperature difference between two horizontal walls and the enclosure height with water(Pr=4.95). The effects of the inclination angle of enclosure and partition on the heat transfer within an enclosure were also studied. As the results, the increase of the inclination angle of enclosure rapidly raised the heat transfer rate, while the inclination angle for the maximum Nusselt number was retarded with the increase of the partition length and the decrease of the heat transfer rate became larger in proportion to the increase of the partition length. The Nusselt number obtained by the inclination of partition was smaller than that of the inclination of enclosure. However, the difference of the heat transfer rates was considerably decreased at the longer partition lengths and the trends for the variation of the average Nusselt number were more similar with that of the inclination of enclosure. The upward oriented partition increases the convective heat transfer distinctly in contrast to that of the inclination of enclosure as the partition length increases.

• 대한기계학회논문집
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• 제17권9호
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• pp.2304-2314
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• 1993

Natural convective flow and heat transfer in a two-dimensional square enclosure fitted with a horizontal partition are investigated numerically. The enclosure was composed of the lower hot and the upper cold horizontal walls and the adiabatic vertical walls, and a partition was situated perpendicularly at the one vertical insulated wall. The governing equations are solved by using the finite element method with Galerkin method. The computations were carried out with the variations of length, position and thermal conductivity of the partition, and Rayleigh number based on the temperature difference between two horizontal walls and the enclosure height with water(Pr=4.95). As the results, an oscillatory motion of natural convection is resulted in a sudden rise of overall heat transfer, but the increase of length of partition is significantly restrained the increase of Nusselt number. The maximum heat transfer was shown just before the transition of the direction of oscillating flow. An oscillatory motion of flow was perfectly shown the stability with the decrease of the length of partition and Rayleigh number. Also, the heat transfer was raised with the increase of the thermal conductivity in proportion to the increase of the length of partition. The stability and oscillation of flow are affected by the position of partition.

• 한국산학기술학회논문지
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• 제17권7호
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• pp.726-733
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• 2016

본 연구에서는 기존 데이터센터 서버실에서 공기분배시스템으로 파티션 시스템의 적용성을 평가하기 위해 기존 시스템 그리고 파티션의 설치 높이와 위치를 변수로 하는 파티션 시스템과 컨테인먼트 시스템에 대해 총 21가지 경우의 컴퓨터시뮬레이션을 실시하고 다음과 같은 결론을 얻었다. 공기온도 및 기류 분포 해석결과를 이용하여 평가해 본 공기분배시스템별 냉방 에너지 절감 성능은 컨테인먼트 시스템, 파티션 시스템, 기존 시스템 순서로 우수한 것을 확인할 수 있었다. 기존 시스템과 파티션 설치높이 0.1~0.7m까지의 파티션 시스템은 재순환 공기에 의해 냉복도에서 1.0~1.2m 높이를 기점으로 공기 온도가 급격히 상승하면서 중간 높이의 서버와 상부 서버의 인입구 온도차는 $11{\sim}15^{\circ}C$로 큰 차이를 보여, 재순환 공기가 상부 서버의 과열의 원인을 제공하는 것으로 나타났다. 파티션 시스템에서 냉복도 상부에 파티션을 설치할 경우에 파티션의 적정 높이는 서버 랙 상부에서 천장까지 높이의 90%(0.9m)이상, 열복도 상부에 파티션을 설치하는 경우는 파티션 높이가 80%(0.8m)이상은 되어야 재순환 공기를 충분히 차단하여 서버 인입구 공기온도가 RCI 권장온도 범위를 만족하는 냉방 에너지 절감효과를 볼 수 있는 것으로 나타났다.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2014년도 추계학술대회 논문집
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• pp.690-692
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• 2014

To identify characterization of a simple extension chamber that have the two internal partition, produce the curve to estimate the transmission loss without the computer analysis. For helpful for internal optimum design, identify the characteristic of internal partition on transmission loss. Made estimated transmission loss curve by function of relationship of internal partition and transmission. Check the similarity of predicted transmission loss and analysis transmission loss. Usage of the predicted transmission loss made by relationship of internal partition and transmission loss is good information to place the internal partition so as to maximize the transmission loss on target frequency at optimal design on muffler.

• 산업경영시스템학회지
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• 제27권3호
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• pp.106-112
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• 2004

This paper presents a new heuristic algorithm for the machine cell(MC) formation problem. MC formation problem is represented as an unbalanced k-way network partition and the proposed algorithm uses four stage-approach to solve the problem. Four stages are natural sub-network formation, determination of intial vertexes for each sub-network, determination of initial partition, and improvement of initial partition. Results of experiments show that the suggested algorithm provides near optimal solutions within very short computational time.