• Title/Summary/Keyword: Class number

Search Result 2,046, Processing Time 0.034 seconds

An analysis of M/M/2 system with restriction to the number of servers for each customer class (각 고객 class 별 서버의 수에 제한이 있는 M/M/2 대기행렬모형 분석)

  • Jung Jae Ho;Hur Sun
    • Proceedings of the Society of Korea Industrial and System Engineering Conference
    • /
    • 2002.05a
    • /
    • pp.133-138
    • /
    • 2002
  • In this paper, we model a two-server queueing system with priority, to which we put a restriction of the number of servers for each customer class. A group of customers is divided into two different classes. The class 1 customers has non -preemptive priority over class 2 customers. We use the method of PGF depending on the state of server We find the PGF of the number of customers in queue, server utilization, mean queue length and mean waiting time for each class of customers.

  • PDF

A Study on the Plan Organization Status of High Schools Facilities - Through Analyzing of Recently Designed Plan Drawings - (고등학교(高等學校)의 평면구성(平面構成) 현황(現況)에 관한 연구(硏究) - 최근 설계(設計)된 학교(學校)들의 평면도(平面圖) 분석(分析)을 통하여 -)

  • Rieu, Ho-Seoup
    • Journal of the Korean Institute of Educational Facilities
    • /
    • v.9 no.1
    • /
    • pp.15-26
    • /
    • 2002
  • According to seventh curriculum, new types of school design have been developed recently. However there are hardly any data of national status about plan and area organization, types and number of rooms of those. On this background, the purpose of this study is to provide fundamental resources for architectural designing and planning of high schools and to recognize national status of plan organizations of high schools through collecting 53 school's standard design drawings(arrangement, plan drawing) which city, province education office drafted for 4 years(from 1997 to 2000) and analyzing them into plan types, building area and type, number and area of rooms. The results of this study are as follows: 1. The range of class number of designed 53 high schools varies from 24 to 36 and 36-class-schools are 47.2% of all. Average number of class is 34.1. As a result we can find out large scale schools are mainly designed. 2. Among 53 schools, 21 schools have the department system but few of them equipped sufficient rooms and their features are very manifold. After recognizing utilization status of each schools, the standards of room type, number and plan organization should be proposed. In terms of plan type for fluent level based transferring class, most of schools are not apt. 3. In the status of type and number of rooms related to class number, range is very wide. So simplification is necessary. 4. The variations of building area, area per a class and area per a student are very large so that standard of adequate area should be established. 5. That every school which has different plan organization from conventional schools exceeds ministry of education's minimum area standards shows those standards cannot cover the diverse plan design of school. So more adequate standards should be proposed. 6. Area and number of Teacher's research room and Home Base are also very manifold from school to school. They are also considered to be simplified immediately.

Genus numbers and ambiguous class numbers of function fields

  • Kang, Pyung-Lyun;Lee, Dong-Soo
    • Communications of the Korean Mathematical Society
    • /
    • v.12 no.1
    • /
    • pp.37-43
    • /
    • 1997
  • Some formulas of the genus numbers and the ambiguous ideal class numbers of function fields are given and these numbers are shown to be the same when the extension is cyclic.

  • PDF

Income Poverty and Multidimensional Poverty of Elderly Households (노인가구의 소득빈곤과 다차원빈곤에 관한 연구)

  • Kim, Soon-Mi
    • Human Ecology Research
    • /
    • v.56 no.2
    • /
    • pp.175-193
    • /
    • 2018
  • This study identified the rate of income poverty and multidimensional poverty, correlation between income poverty and multidimensional poverty, and adjusted multidimensional poverty rate. We also analyzed the factors that affected the number of poverty dimension and the probability of belonging to the poor or not in 3,159 elderly households including 474 poor households and 2,685 middle class households. First, in poor households, the employment poverty rate was the highest and the housing poverty rate was the lowest. In middle class households, the relation poverty rate was the highest and the employment poverty rate was the lowest. Second, in poor households, correlation between asset poverty and relation poverty had the highest coefficient of .205 and asset poverty and housing poverty had the lowest coefficient of .149. In middle class households, the correlation between income poverty and relation poverty had highest coefficient of -.290 and employment poverty and relation poverty had the lowest coefficient of .038. Third, in poor households, the number of average poverty dimension was 4.30, but the number of average poverty dimensions of middle class households was 2.310. Fourth, the variable affecting the number of poverty dimensions in poor households were gender, age, level of education, marital status; however, the significant variables were gender, education level, marital status, income poverty in the middle class households. The variable that affected the probability of belonging to the poor or not in poor households was age. However, the significant variables were gender, education level, marital status, residence, and income poverty in middle class households.

Revised AMC for the Application of SCS Method (SCS 유효우량 산정방법 적용을 위한 선행토양함수조건의 재설정(장평유역을 중심으로))

  • Park, Cheong-Hoon;Yoo, Chul-Sang;Kim, Joong-Hoon
    • Proceedings of the Korea Water Resources Association Conference
    • /
    • 2005.05b
    • /
    • pp.578-582
    • /
    • 2005
  • In this study, the conceptual foundation and development process of the Antecedent soil Moisture Condition(AMC) in SCS runoff curve number method are reviewed. Although the runoff volume is very sensitive with AMC condition, the AMC class limits developed in SCS(1972) are used in rainfall-runoff analysis without careful consideration. Tn this study, following the SCS curve number development process, rainfall-runoff characteristics of the Jang-Pyung subbasin subject to the Pyung-Chang River basin are analyzed to evaluate the reasonability of the AMC class limits at present. The New AMC class limits are proposed by the sensitive analysis of the antecedent rainfall - curve number value. As a result, the classification value of AMC-I with II is 22mm of antecedent 5-day rainfall amount, and the classification of AMC-II with III is 117mm in growing season. When the New AMC class limits are applied to Jang-Pyung subbasin, AMC probability distribution shows that the AMC-II has increased remarkably even though the AMC-I has a little higher value. But the AMC-III has the smallest one. According to the conceptual basis of the curve number method, the AMC probability distribution, the New AMC class limits adopted, gives reasonable results.

  • PDF

ON THE PARITY OF THE CLASS NUMBER OF SOME REAL BIQUADRATIC FUNCTION FIELD

  • Ahn, Jaehyun;Jung, Hwanyup
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.23 no.1
    • /
    • pp.169-176
    • /
    • 2010
  • Let $k={\mathbb{F}}_q(T)$ and ${\mathbb{A}}={\mathbb{F}}_q[T]$. In this paper, we obtain the the criterion for the parity of the ideal class number h(${\mathcal{O}}_K$) of the real biquadratic function field $K=k(\sqrt{P_1},\;\sqrt{P_2})$, where $P_1$, $P_2{\in}{\mathbb{A}}$ be two distinct monic primes of even degree.

APPLICATIONS OF CLASS NUMBERS AND BERNOULLI NUMBERS TO HARMONIC TYPE SUMS

  • Goral, Haydar;Sertbas, Doga Can
    • Bulletin of the Korean Mathematical Society
    • /
    • v.58 no.6
    • /
    • pp.1463-1481
    • /
    • 2021
  • Divisibility properties of harmonic numbers by a prime number p have been a recurrent topic. However, finding the exact p-adic orders of them is not easy. Using class numbers of number fields and Bernoulli numbers, we compute the exact p-adic orders of harmonic type sums. Moreover, we obtain an asymptotic formula for generalized harmonic numbers whose p-adic orders are exactly one.

IMAGINARY BICYCLIC FUNCTION FIELDS WITH THE REAL CYCLIC SUBFIELD OF CLASS NUMBER ONE

  • Jung, Hwan-Yup
    • Bulletin of the Korean Mathematical Society
    • /
    • v.45 no.2
    • /
    • pp.375-384
    • /
    • 2008
  • Let $k={\mathbb{F}}_q(T)$ and ${\mathbb{A}}={\mathbb{F}}_q[T]$. Fix a prime divisor ${\ell}$ q-1. In this paper, we consider a ${\ell}$-cyclic real function field $k(\sqrt[{\ell}]P)$ as a subfield of the imaginary bicyclic function field K = $k(\sqrt[{\ell}]P,\;(\sqrt[{\ell}]{-Q})$, which is a composite field of $k(\sqrt[{\ell}]P)$ wit a ${\ell}$-cyclic totally imaginary function field $k(\sqrt[{\ell}]{-Q})$ of class number one. und give various conditions for the class number of $k(\sqrt[{\ell}]{P})$ to be one by using invariants of the relatively cyclic unramified extensions $K/F_i$ over ${\ell}$-cyclic totally imaginary function field $F_i=k(\sqrt[{\ell}]{-P^iQ})$ for $1{\leq}i{\leq}{\ell}-1$.

EDGE COVERING COLORING OF NEARLY BIPARTITE GRAPHS

  • Wang Ji-Hui;Zhang Xia;Liu Guizhen
    • Journal of applied mathematics & informatics
    • /
    • v.22 no.1_2
    • /
    • pp.435-440
    • /
    • 2006
  • Let G be a simple graph with vertex set V(G) and edge set E(G). A subset S of E(G) is called an edge cover of G if the subgraph induced by S is a spanning subgraph of G. The maximum number of edge covers which form a partition of E(G) is called edge covering chromatic number of G, denoted by X'c(G). It is known that for any graph G with minimum degree ${\delta},\;{\delta}-1{\le}X'c(G){\le}{\delta}$. If $X'c(G) ={\delta}$, then G is called a graph of CI class, otherwise G is called a graph of CII class. It is easy to prove that the problem of deciding whether a given graph is of CI class or CII class is NP-complete. In this paper, we consider the classification of nearly bipartite graph and give some sufficient conditions for a nearly bipartite graph to be of CI class.