• Title/Summary/Keyword: $C^1$-class

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A STUDY OF ORAL STATUS OF MENTAL RETARDED CHILDREN (정신(精神) 박약아(薄弱兒)의 구강(口腔) 상태(狀態)에 관(關)한 고찰(考察))

  • Jhee, In-Ae
    • Journal of the korean academy of Pediatric Dentistry
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    • v.8 no.1
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    • pp.77-88
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    • 1981
  • The purpose of this study was to make a comprehensive study & evaluation of the oral status of mental retarded children. The auther examined intraorally 486 (male; 311, female;175) mental retarded children. The result was as follows; (General mental retarded children means the children who live in their parent's home, & orphan mental retarded children means the children who live in orphanage.) 1. The dft rate was 31.6% in general mental retarded children (G.m.r.c.) & 20.7% in orphan mental retarded children (O. m. r. c.). The dft index was 3.73 in G.m.r.c. & 2.15 in O.m.r.c. 2. The DMFT rate was 24.6% in female G.m.r.c., 16.7% in male G.m.r.c., 12.7% in female O.m.r.c., 8.4% in male O.m.r.c. The DMFT index was 4.94 in female G.m.r.c., 4.01 in male G.m.r.c., 1.40 in male O.m.r.c., 2.75 in female O.m.r.c. 3. The malocclusion prevalence was 57.3%. the class I malocclusion was 14.2% Class II malocclusion 19.3%, Class III malocclusion 23.5%. The children with Down's syndrome had 60.0% of class III malocclusion prevalence. 4. The dental calculus index was 1.97 in male O.m.r.c., 1.81 in female O.m.r.c., 1.30 in male G.m.r.e., 1.13 in female G.m.r.c. 5. The dental plaque index was 3.06 in female G.m.r.c., 3.00 in male Gm.r.e. 2.70 in male O.m.r,c., 2.32 in female O.m.r.c.

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LOWER FORMATION RADICAL FOR NEAR RINGS

  • Saxena, P.K.;Bhandari, M.C.
    • Kyungpook Mathematical Journal
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    • v.18 no.1
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    • pp.23-29
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    • 1978
  • In [7) Scott has defined C-formation radical for a class C of near rings and has studied its porperties under chain conditions. A natural question that arises is: Does there exist a Lower C-Formation radical class L(M) containing a given class M of ideals of near rings in C? In this paper we answer this by giving. two constructions for L(M) and prove that prime radical is hereditary.

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Class function table matrix of finite groups

  • Park, Won-Sun
    • Journal of the Korean Mathematical Society
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    • v.32 no.4
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    • pp.689-695
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    • 1995
  • Let G be a finite group with k distinct conjugacy classes $C_1, C_2, \cdots, C_k$ and F an algebraically closed field such that char$(F){\dag}\left$\mid$ G \right$\mid$$. We denoted by $Irr_F$(G) the set of all irreducible F-characters of G and $Cf_F$(G) the set of all class functions of G into F. Then $Cf_F$(G) is a commutative F-algebra with an F-basis $Irr_F(G) = {\chi_1, \chi_2, \cdots, \chi_k}$.

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An Analysis on Water Supply Amount for Economic Plan in School Buildings (학교건축의 적정 급수량 산정을 위한 사용수량 분석)

  • Lee, Jae-Yoon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.4
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    • pp.2924-2932
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    • 2015
  • This study is for estimate the amount of water supplied data to get a database for economic plan of water supply system by survey for the amount of water supplied of primary, middle and highschool. For this, 54 of primary school, middle school, high school in 6 cities of Kangwon for 5 years. As a result, average of the amount of water supplied per month is $600.7m^3/mon$ and primary, middle schools are $484.2m^3/mon$ and high schools are $833.8m^3/mon$. Average of the amount of water supplied per class is $27.0m^3/mon/class$ and primary, middle schools are $24.4m^3/mon/class$ and high schools are $32m^3/mon/class$. Average of the amount of water supplied per person per day is 55.8l/c/d and primary school, middle schools are 54.4l/c/d and high schools are 58.6l/c/d.

An Assessment of the Heavy Metal Contamination of Sediment in Main Stream and Tributaries of the Han River in the Vicinity of Seoul (서울시 인근의 한강 본류 및 지류에 대한 하상 저질의 중금속오염 평가)

  • 노수미;이홍근
    • Journal of Environmental Health Sciences
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    • v.20 no.4
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    • pp.17-35
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    • 1994
  • This study was performed to investigate and assess the heavy metal contamination of sediment in main stream and tributaries of the Han-river in the vicinity of Seoul. Sediment were sampled at eight locations of main stream and eighteen locations of tributaries in the spring, summer, and fall in 1993. Six heavy metals of Cd, Cu, Pb, Zn, Cr, and Hg, were assessed. For an assessment of heavy metal contamination in sediment, the assessment method of Hakanson was modified to estimate for Han-river, then classification method of Muller in sediment quality was applied. For an assessment of contamination in each heavy metal, Contamination factor C$_f^i$ which was defined the ratio of concentration of i heavy metal in investigated location to background concentration of i heavy metal in uncontaminated upper area was used. The sediment quality in each heavymetal was classified as follows if C$_f^i$<1, Class I for Non contamination, if 1 < C$_f^i$ < 3, Class II for Low contamination, if 3< C$_f^i$ <6, Class III for Moderate contamination, if 6< C$_f^i$ <12, Class IV for Considerable contamination, and if C$_f^i$ > 12, Class V for High contamination.(abbreviation)

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Reliability Characteristics of Class-E Power Amplifier using Class-F Driving Circuit (Class-F 구동회로를 사용하는 Class-E 전력 증폭기의 신뢰성)

  • Choi, Jin-Ho
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.55 no.6
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    • pp.287-290
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    • 2006
  • A class-E CMOS RF(Radio frequency) power amplifier with a 1.8 Volt power supply is designed using $0.25{\mu}m$ standard CMOS technology. To drive the class-E power amplifier, a Class-F RF power amplifier is used and the reliability characteristics are studied with a class-E load network. After one year of operating the power amplifier with an RF choke, the PAE(Power Added Efficiency) decreases from 60% to 47% and the output power decreases 29%. However, when a finite DC-feed inductor is used with the load, the PAE decreases from 60% to 53% and the output power decreases only 19%. The simulated results demonstrate that the class-E power amplifier with a finite DC-feed inductor exhibits superior reliability characteristics.

EDGE COVERING COLORING OF NEARLY BIPARTITE GRAPHS

  • Wang Ji-Hui;Zhang Xia;Liu Guizhen
    • Journal of applied mathematics & informatics
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    • v.22 no.1_2
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    • pp.435-440
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    • 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.

SOME CLASSES OF MULTIVALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS I

  • AUOF, M.K.;DARWISH, H.E.
    • Honam Mathematical Journal
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    • v.16 no.1
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    • pp.119-135
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    • 1994
  • Let $Q_{n+p-1}(\alpha)$ denote the- dass of functions $$f(z)=z^{P}-\sum_{n=0}^\infty{a_{(p+k)}z^{p+k}$$ ($a_{p+k}{\geq}0$, $p{\in}N=\left{1,2,{\cdots}\right}$) which are analytic and p-valent in the unit disc $U=\left{z:{\mid}z:{\mid}<1\right}$ and satisfying $Re\left{\frac{D^{n+p-1}f(\approx))^{\prime}}{pz^{p-a}\right}>{\alpha},0{\leq}{\alpha}<1,n>-p,z{\in}U.$ In this paper we obtain sharp results concerning coefficient estimates, distortion theorem, closure theorems and radii of p-valent close-to- convexity, starlikeness and convexity for the class $Q_{n+p-1}$ ($\alpha$). We also obtain class preserving integral operators of the form $F(z)=\frac{c+p}{z^{c}}\int_{o}^{z}t^{c-1}f(t)dt.$ c>-p $F\left(z\right)=\frac{c+p}{z^{c}}\int_{0}^{z} t^{c-1}f\left(t \right)dt. \qquad c>-p$ for the class $Q_{n+p-1}$ ($\alpha$). Conversely when $F(z){\in}Q_{n+p-1}(\alpha)$, radius of p-valence of f(z) has been determined.

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CONTINUUM-WISE EXPANSIVENESS FOR C1 GENERIC VECTOR FIELDS

  • Manseob Lee
    • Journal of the Korean Mathematical Society
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    • v.60 no.5
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    • pp.987-998
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    • 2023
  • It is shown that every continuum-wise expansive C1 generic vector field X on a compact connected smooth manifold M satisfies Axiom A and has no cycles, and every continuum-wise expansive homoclinic class of a C1 generic vector field X on a compact connected smooth manifold M is hyperbolic. Moreover, every continuum-wise expansive C1 generic divergence-free vector field X on a compact connected smooth manifold M is Anosov.

A Subclass of Starlike Functions

  • Ahmad, Faiz
    • Honam Mathematical Journal
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    • v.9 no.1
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    • pp.71-76
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    • 1987
  • Let M be a positive real number and c a complex numbcr such that $\left|c-1\right|<M{\leq}Re{c}$. Let $f,f(z)=z+a_{2}Z^{2}+...,$ be analytic and univalent in the unit disc. It is said to belong to the class S(c, M) if $\left|zf'(z)/f(z)-c\right|<M$ We find growth and rotation theorems for the class S(c, M).

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