• Title/Summary/Keyword: class-F

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TAME DIFFEOMORPHISMS WITH C1-STABLE PROPERTIES

  • Lee, Manseob
    • Journal of the Chungcheong Mathematical Society
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    • v.21 no.4
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    • pp.519-525
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    • 2008
  • Let f be a diffeomorphisms of a compact $C^{\infty}$ manifold, and let p be a hyperbolic periodic point of f. In this paper, we prove that if generically, f is tame diffeomorphims then the following conditions are equivalent: (i) f is ${\Omega}$-stable, (ii) f has the $C^1$-stable shadowing property (iii) f has the $C^1$-stable inverse shadowing property.

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A relative root Nielsen number

  • Yang, Ki-Yeol
    • Communications of the Korean Mathematical Society
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    • v.11 no.1
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    • pp.245-252
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    • 1996
  • The relative Nielsen number N(f;X,A) was introduced in 1986. It gives us a better, and ideally sharp, lower bound for the minimum number MF[f;X,A] of fixed points in the homotopy class of the map $f;(X,A) \to (X,A)$. Similarly, we also can think about the Nielsen map $f:(X,A) \to (X,A)$. Similarly, we also can be think about the Nielsen root theory. In this paper, we introduce a relative root Nielsen number N(f;X,A,c) of $f:(X,A) \to (Y,B)$ and show some basic properties.

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ℓ-RANKS OF CLASS GROUPS OF FUNCTION FIELDS

  • Bae, Sung-Han;Jung, Hwan-Yup
    • Journal of the Korean Mathematical Society
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    • v.49 no.1
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    • pp.49-67
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    • 2012
  • In this paper we give asymptotic formulas for the number of ${\ell}$-cyclic extensions of the rational function field $k=\mathbb{F}_q(T)$ with prescribe ${\ell}$-class numbers inside some cyclotomic function fields, and density results for ${\ell}$-cyclic extensions of k with certain properties on the ideal class groups.

ON A CLASS OF CONSTACYCLIC CODES OF LENGTH 2ps OVER $\frac{\mathbb{F}_{p^m}[u]}{{\langle}u^a{\rangle}}$

  • Dinh, Hai Q.;Nguyen, Bac Trong;Sriboonchitta, Songsak
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.4
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    • pp.1189-1208
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    • 2018
  • The aim of this paper is to study the class of ${\Lambda}$-constacyclic codes of length $2p^s$ over the finite commutative chain ring ${\mathcal{R}}_a=\frac{{\mathbb{F}_{p^m}}[u]}{{\langle}u^a{\rangle}}={\mathbb{F}}_{p^m}+u{\mathbb{F}}_{p^m}+{\cdots}+u^{a-1}{\mathbb{F}}_{p^m}$, for all units ${\Lambda}$ of ${\mathcal{R}}_a$ that have the form ${\Lambda}={\Lambda}_0+u{\Lambda}_1+{\cdots}+u^{a-1}{\Lambda}_{a-1}$, where ${\Lambda}_0,{\Lambda}_1,{\cdots},{\Lambda}_{a-1}{\in}{\mathbb{F}}_{p^m}$, ${\Lambda}_0{\neq}0$, ${\Lambda}_1{\neq}0$. The algebraic structure of all ${\Lambda}$-constacyclic codes of length $2p^s$ over ${\mathcal{R}}_a$ and their duals are established. As an application, this structure is used to determine the Rosenbloom-Tsfasman (RT) distance and weight distributions of all such codes. Among such constacyclic codes, the unique MDS code with respect to the RT distance is obtained.

FACIAL GROWTH CHANGE AFTER ORTHODONTIC TREATMENT IN CHILDREN (Second Report) (소아(小兒)에 있어 교정전후에 악골의 변화(變化)에 관(關)한연구(2차보고))

  • Sohn, Dong-Su
    • Journal of the korean academy of Pediatric Dentistry
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    • v.11 no.1
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    • pp.7-12
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    • 1984
  • This study was undertaker to observe the longitudinal change by orthodontic treatment for early Class III malocclusion in primary and mixed dentition. Cephalometric roentgenograms of 8 children with Class III malocclusion obtained during activator therapy were measured and compared with those obtained before activator therapy. The following results were observed. During treatment with activator; 1. The maxilla became retrueded in A,C,E, and K and protruded in F, G, H, and J. 2. The mandible became retruded in A,C,E, and F and F and protruded in H and J. No difference was observed in G and K. 3. Gonial angle became reduced in A,C,E,F, and K and increased in H. No difference was observed in G and J. 4. The steepness of mandibular plane became reduced in C,E,F,G,H, and J and increased in A. No difference was observed in K. 5. The inclination of upper incisor became more labially in A,C,E,G,H,J, and K. No difference was observed in F. 6. The inclination of lower incisor became more lingually in all cases.

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A Study on the Selection of Evaluation Factors on Forest Carbon Cycle Community(F.C.C.C) using DHP Analysis Method (DHP분석을 이용한 산림탄소순환마을 대상지 평가기준 선발에 관한 연구)

  • Seo, Jeong-Weon;Kwak, Kyung-Ho;Jeong, Se-Myong;Kang, Sung-Pyo;An, Ki-Wan
    • Journal of Korean Society of Forest Science
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    • v.100 no.4
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    • pp.672-680
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    • 2011
  • The purpose of this study has been carried to develop a criterion for the selection of evaluation factors on Forest Carbon Cycle Community(F.C.C.C) based on the result of survey of 96 participants who were operation managers on mountain eco village(31), relevant experts(33), and officers of local government(32). For analysis of the results of survey, DHP(Delphi Hierarchy Process) method was used which is a combination of Delphi method and AHP(Analytic Hierarchy Process) method. The key factors on selection of a suitable area to launch F.C.C.C. project of Korea Forest Service was selected under three hierarchical classes. Class 1 comprises 3 indices(Physical resource index, Human resource index, Vision index), and Class 2 which contains 10 indices (Existing resource, Surroundings resource, Forest biomass resource, Humanities Social quality, Local resident participation, Leader's ability, External support, Planning of operation, Capability of operation, and Effect of operation). Class 3 is sub-level class of class which possess 38 indices. From the results of analysis, Consistency Index(C.I) of each index in the 3 classes was used as evaluation factor. In Class 1, index 'human resources' showed highest Consistency Index(0.454). In Class 2, index 'forest biomass resources' was the highest Consistency Index(0.376) in 'physical resources' of Class 1, index 'leader's ability' was the highest Consistency Index(0.326) in 'human resources' of Class 1, and index 'planning of operation' was the highest Consistency Index(0.346) in 'vision' of Class 1. In Class 3, relative importance of 38 index including 'Joint ownership land security(C.I.-0.266)' was evaluated. Based on the result of this study, a criterion for the selection of evaluation factors for F.C.C.C was developed and the evaluation criterion is expected to be use to select of a suitable area to launch F.C.C.C. project since 2011.

Effects of College English FnF (Focus on Form) Class Types on Target Vocabulary and Grammar (대학 교양영어 FnF수업유형이 목표어휘와 목표문법의 습득에 미치는 효과)

  • Kim, Young-hee
    • Asia-pacific Journal of Multimedia Services Convergent with Art, Humanities, and Sociology
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    • v.7 no.12
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    • pp.371-380
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    • 2017
  • This paper aims to explore a comparative instructional effects among meaning-based communicative language teaching, input-enhanced FnF instruction and output-enhanced FnF instruction in order to optimize the teaching methods of target grammar and vocabulary. The experiment selected three homogeneous groups of 30 students in each group for the comparison: One comparative group with communicative language teaching, one input-enhanced FnF group and another output-enhanced FnF group. The result indicates that the input-enhanced group outperformed the comparative group in the grammar test with statistical significance and the output-enhanced group overweighted the comparative group in the vocabulary test. However, no significant statistical difference was found between the input-enhanced group and the output-enhanced group. The conclusion from the result could bear the following pedagogical implication: The general English education must use the eclectic method of adopting communicative language teaching with FnF of input-enhanced target grammar and output-enhanced target vocabulary to supplement the students with the basic vocabulary and grammar.

Relationship between ARCS (Attention, Relevance, Confidence, and Satisfaction) Learning Motivation Factors and Class Effectiveness Inherent in Problem-Based Learning Classes (문제중심학습 수업에 내재된 학습동기 유발요인과 수업효과성의 관계)

  • Lee, Mi Suk;Chae, Soo Eun
    • Korean Medical Education Review
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    • v.16 no.3
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    • pp.156-166
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    • 2014
  • The current study aimed to find the relationship between attention, relevance, confidence, and satisfaction (ARCS) learning motivation and class effectiveness inherent in problem-based learning (PBL) classes designed for dental and nursing students. Seventy-nine participants responded to survey items for motivation and class effectiveness after completion of their classes. The study findings were as follows. First, the differences among the $dental^{**}$, $clinical^{**}$, and $nursing^{**}$ PBL classes were identified in terms of class effectiveness (F=3.63, p<0.05) and academic achievement (F=13.9, p<0.01). Second, three learning motivation factors-satisfaction (t=4.07, p<0.01), confidence (t=2.84, p=0.01), and relevance (t=2.96, p<0.01)-appeared to determine class effectiveness in the abovementioned order. Only attention (t=2.02, p=0.05) was significantly related to academic achievement. Third, the relationship between hours of learner contribution to the PBL tasks and academic achievement was statistically significant. Therefore, we suggest the incorporation of ARCS motivation factors in PBL classes on the basis of the characteristics of each major and grade.

Characteristics Analysis of Class E Frequency Multiplier using FET Switch Model (FET 스위치 모델을 이용한 E급 주파수 체배기 특성 해석)

  • Joo, Jae-Hyun;Koo, Kyung-Heon
    • Journal of Advanced Navigation Technology
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    • v.15 no.4
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    • pp.596-601
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    • 2011
  • This paper has presented research results for the switching mode class E frequency multiplier that has simple circuit structure and high efficiency. Frequency multiplication is coming from the nonlinearity of the active component, and this paper models the FET active component as a simple switch and some parasitics to analyze the characteristics. The matching component parameters for the class E frequency doubler have been derived with modeling the FET as a input controlled switch and some parasitics. A circuit simulator, ADS, is used to simulate the output voltage and current waveform and efficiency with the variation of the parasitic values. With 2.9GHz input and 2V bias, the drain efficiency has been decreased from 98% to 28% with changing the parasitic capacitance from 0pF to 1pF at 5.8GHz output, which shows that the parasitic capacitance CP has the most significant effect on the efficiency among the parasitics of FET.