• Title/Summary/Keyword: equal partition

Search Result 38, Processing Time 0.027 seconds

An Analysis on Techniques of Moulding of Korean Traditional Structure and Architectures through Equal Subdividing Circumference Methods (원주의 등분할에 의한 전통구조물의 평면구성기법분석에 관한 연구)

  • 이주원;정기호
    • Journal of the Korean Institute of Landscape Architecture
    • /
    • v.28 no.3
    • /
    • pp.97-104
    • /
    • 2000
  • Studies on the principle of traditional moulding techniques of architecture or structure are very important in the point of the work could accomplish succession to modern design. As an attempt of these work, this study tried to examine traditional moulding techniques applied in planes of ancient architecture and structure closely. The major findings of this study are summarized as follows; It was verified that planes of ancient Korean architectures and structures analyzed in this study was moulded by its multiple partitions with the six or eight partitions of circumference as the fundamental form. The well unearthed in kyong-bok palace recently was moulded by a concentric circle assumed form of 4 circle which was extended with equal interval and divided into multiple of 8 partition of circumference. Chon-duk-jung in chang-duk palace also was moulded by a concentric circle assumed form of 3 circle extended with equal interval, but circle were divide by 6 partitions. It was also found that 6$^{\circ}$§8 partitions of circumference(or its multiple partition) was applied to not only above structures but also the moulding planes of ancient architecture, and as a results, figures revealed in architectures analyzed is classified into three classes. And, this study analyzed arrangements of two temples. As a results, it is discovered that the Grid used in moulding planes of each building fixed the arrangement of buildings. Therefore, moulding by equal partition of circumference decided the form of each building and the relation of element at the same time.

  • PDF

ON AN INVOLUTION ON PARTITIONS WITH CRANK 0

  • Kim, Byungchan
    • East Asian mathematical journal
    • /
    • v.35 no.1
    • /
    • pp.9-15
    • /
    • 2019
  • Kaavya introduce an involution on the set of partitions with crank 0 and studied the number of partitions of n which are invariant under Kaavya's involution. If a partition ${\lambda}$ with crank 0 is invariant under her involution, we say ${\lambda}$ is a self-conjugate partition with crank 0. We prove that the number of such partitions of n is equal to the number of partitions with rank 0 which are invariant under the usual partition conjugation. We also study arithmetic properties of such partitions and their q-theoretic implication.

Evaluation of Sound Insulation Performance of Extruded Cement Panel with a-Hemihydrate Gypsum

  • Kim, Jin-Man;Choi, Duck-Jin
    • Journal of the Korea Institute of Building Construction
    • /
    • v.12 no.6
    • /
    • pp.575-585
    • /
    • 2012
  • The extruded cement panel, which has many advantages as a prefabricated method, has been limited in its application due to its low fire-resistance. However, an extruded cement panel produced by mixing a-hemihydrate gypsum offers dramatically improved fire-resistance and is expected to have wide-ranging applications in the construction sector as an interior material or partition wall between housing units. Sound insulation performance is very important for the partition wall between housing units. In this study, the sound insulation performance of the extruded cement panel produced through the mixture of a-hemihydrate gypsum is reviewed in order to determine its usability for a partition wall between housing units and for interior materials. Through the review it was found that the wall formed using the extruded cement panels produced by mixing the a-hemihydrate gypsum have ★★★ class in sound insulation test, equal or superior compared with the other two types of extruded cement panel walls currently available in the market.

CHARACTERIZATION OF TRAVEL GROUPOIDS BY PARTITION SYSTEMS ON GRAPHS

  • Cho, Jung Rae;Park, Jeongmi
    • East Asian mathematical journal
    • /
    • v.35 no.1
    • /
    • pp.17-22
    • /
    • 2019
  • A travel groupoid is a pair (V, ${\ast}$) of a set V and a binary operation ${\ast}$ on V satisfying two axioms. For a travel groupoid, we can associate a graph in a certain manner. For a given graph G, we say that a travel groupoid (V, ${\ast}$) is on G if the graph associated with (V, ${\ast}$) is equal to G. There are some results on the classification of travel groupoids which are on a given graph [1, 2, 3, 9]. In this article, we introduce the notion of vertex-indexed partition systems on a graph, and classify the travel groupoids on the graph by the those vertex-indexed partition systems.

A Study on the LCC Analysis of an Office Building HVAC System (오피스빌딩 냉난방시스템의 수명주기비용 분석에 관한 연구 : 흡수식 냉온수 유닛의 설치 유형을 중심으로 한 사례연구)

  • Park, Moon-Sun;Shin, Hyeong-Sik;Kim, Yong-Su
    • Korean Journal of Construction Engineering and Management
    • /
    • v.7 no.3 s.31
    • /
    • pp.112-121
    • /
    • 2006
  • The purpose of this study is to execute economical analysis for two types of office building HVAC system using LCC technique : single vs, separated HVAC(equal partition installation, unequal partition installation) system. The research method of this study includes the case analysis and questionnaire surveys. The results of this study are as follows: (1) LCCs of 3 types of HVAC system are estimated and the most economical one is investigated as single HVAC system, (2) In this case study, the single HVAC system was investigated as 34% lower in LCC during 15 years per $100m^2$ compared to equal partition installation, as 41% compared to unequal partition installation.

Frequency-Time Analysis(Partition-FFT) for Tracking Detection (트래킹 검출을 위한 주파수-시간 분석(분할-FFT))

  • Jee S. W.;Lee S. H.;Kim Ch. N.;Lee C. H.;Lee K. S.
    • The Transactions of the Korean Institute of Electrical Engineers C
    • /
    • v.53 no.10
    • /
    • pp.530-538
    • /
    • 2004
  • A electromagnetic waves are used for sensing in insulation diagnosis at electric machine or equipment. When it a method, waves are transformed into the FFT(Fast Fourier Transform); a kind of the process for data transformation. In a general way, a scientist use frequncy band 30[㎒]~l[㎓] to applied field. If we are measured high frequency band, we will need to a high capacity hardware. Also a antenna has a fault on atmospheric phenomena, outside environment and the like. In this paper We proposed new method for detecting electric equipment faulty state using only electric voltage which is generally measured in the electric and electronic field. It is called the Partition-FFT The analytic method is this first divide measured voltage waves into equal parts, second each deal with give effect to the FFT, finally each results deal with a graphic method and gather graphic. We are compare Partition-FFT with discharge form by tracking tester. As the result it demonstrated that the Partition-FFT is applicable.

A Comparative Study of the Way of Introducing Fractions in Mathematics Textbooks of South and North Korea (남북한 초등학교 교과서의 분수 도입 방식 비교)

  • Park Kyo Sik;Lee Kyung Hwa;Yim Jae Hoon
    • Journal of Educational Research in Mathematics
    • /
    • v.14 no.4
    • /
    • pp.367-385
    • /
    • 2004
  • This study intends to compare the way of introducing fractions in elementary mathematics textbooks of south and those of north Korea. After thorough investigations of the seven differences were identified. First, the mathematics textbooks of south Korea use concrete materials like apples when they introduce equal partition context, while those of north Korea do not use that kind of concrete materials. Second, in the textbooks of south Korea, equal partition of discrete quantities are considered after continuous ones are introduced. This is different from the approach of the north Korean text-books in which both quantities are regarded at the same time. Third, the quantitative fraction which refers to the rational number with unit of measure at the end of it, is hardly used in the textbooks of south. However, the textbooks of north Korea use it as the main representations of fractions. Fourth, in the textbooks of south Korea, vanous activities related to fractions are more emphasized, while in the textbooks of north Korea, various meanings of fractions textbooks from south and north Korea focused on the ways of introducing partition approach and equivalence relation as operational schemes of fractions, the following play an important role before defining fraction. Fifth, the textbooks of south Korea introduce equivalent fractions with number one using number bar, and do not consider the reason why that sort of fractions are regarded. On the contrary, the textbooks of north Korea introduce structural equivalence relation by using various contexts including length measure and volume measure situations. Sixth, whereas real-life contexts are provided for introducing equivalent fractions in the textbooks of south Korea, visual explanations and mathematical representations play an important role in the textbooks of north Korea. Seventh, the means of finding equivalent fractions are provided directly in the textbooks of south Korea, whereas the nature of equivalent fractions and the methods of making equivalent fractions are considered in the textbooks of north Korea.

  • PDF

Effects of Salts on the Partition of Proteins in Poly (ethylene glycol)-Dextran Aqueous Two Phase System (Poly(ethylene glycol)-dextran 수용액 2상계에서 단백질 분획계수에 미치는 금속염의 효과)

  • Lee, Sam-Pin;Lee, Cherl-Ho
    • Korean Journal of Food Science and Technology
    • /
    • v.19 no.2
    • /
    • pp.146-150
    • /
    • 1987
  • The effects of pH and added salts on the partition coefficients of proteins in a polyethylene glycol)-dextran aqueous two-phase system were investigated. The partition coefficients attained the lowest value at the isoelectric point of proteins in an equal volume aqueous two-phase system containing 5% PEG and 9.5% dextran in 5 mM phosphate buffer solution. The coefficients increased dramatically at pH 11; BSA which had highest effective hydrophobicity marked 50-fold increase, while ${\beta}-lactoglobulin$ and ovalbumin which had low hydrophobicity 10-fold increase, respectively. The effect of added salts varied with the pH. The partition coefficient increased by the addition of salt at pH 3.0 but decreased drastically at pH 7.0. The partition coefficient increased in the order of added Li < Na < K at pH 3.0 and decreased in the order of added Li < Na < K at pH 11.0.

  • PDF

ON GRAPHS WITH EQUAL CHROMATIC TRANSVERSAL DOMINATION AND CONNECTED DOMINATION NUMBERS

  • Ayyaswamy, Singaraj Kulandaiswamy;Natarajan, Chidambaram;Venkatakrishnan, Yanamandram Balasubramanian
    • Communications of the Korean Mathematical Society
    • /
    • v.27 no.4
    • /
    • pp.843-849
    • /
    • 2012
  • Let G = (V, E) be a graph with chromatic number ${\chi}(G)$. dominating set D of G is called a chromatic transversal dominating set (ctd-set) if D intersects every color class of every ${\chi}$-partition of G. The minimum cardinality of a ctd-set of G is called the chromatic transversal domination number of G and is denoted by ${\gamma}_{ct}$(G). In this paper we characterize the class of trees, unicyclic graphs and cubic graphs for which the chromatic transversal domination number is equal to the connected domination number.

Pharmaceutical Studies on Chitosan Matrix: Controlled release of aspirin from chitosan device

  • Lee, Chi-Young;Kim, Sung-Ho
    • Archives of Pharmacal Research
    • /
    • v.10 no.2
    • /
    • pp.88-93
    • /
    • 1987
  • Chitosan ($\beta$-D-glucosaminan) is chemically prepared from chitin (N-acetyl-$\beta$- D-glucosaminan) which is an unutilized natural resource. We now report on the suitability of the chitosan matrix for use as vehicles for the controlled release of drugs. Salicylic acid and aspirin were used as model drugs in this study. The permeation of salicylic acid in the chitosan membranes was determined in a glass diffusion cell with two compartments of equal volume. Drug release studies on the devices were conducted in a beaker containing 5% sodium hydroxide solution. Partition coefficient (Kd) value for acetate membrane (472) is much greater than that for fluoro-perchlorate chitosan membrane (282). Higher Kd value for acetate chitosan membrane appears to be inconsisstent with the bulk salicylic acid concentration. The permeability constants of fluoro-perchlorate and acetate chisotan membranes for salicylic acid were 3.139 ${\times}10^{-7}cm^2$ min up to 60 min and that of 30% aspirin in the devices was 4.739${\times}10^{-7}cm^2$sec upto 60 min. As the loading dose of aspirin in a chitosan device increased, water up-take of chitosan device increased, but in case of salicylic acid it decreased. The release rate increased with increase in the molecular volume of the drugs. Thses result suggest that the release mechanism may be controlled mainly by diffusion through pores.

  • PDF