• 제목/요약/키워드: $R_{t(s+1)}$

검색결과 3,442건 처리시간 0.033초

CHANGE OF SCALE FORMULAS FOR A GENERALIZED CONDITIONAL WIENER INTEGRAL

  • Cho, Dong Hyun;Yoo, Il
    • 대한수학회보
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    • 제53권5호
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    • pp.1531-1548
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    • 2016
  • Let C[0, t] denote the space of real-valued continuous functions on [0, t] and define a random vector $Z_n:C[0,t]{\rightarrow}\mathbb{R}^n$ by $Z_n(x)=(\int_{0}^{t_1}h(s)dx(s),{\ldots},\int_{0}^{t_n}h(s)dx(s))$, where 0 < $t_1$ < ${\cdots}$ < $ t_n=t$ is a partition of [0, t] and $h{\in}L_2[0,t]$ with $h{\neq}0$ a.e. Using a simple formula for a conditional expectation on C[0, t] with $Z_n$, we evaluate a generalized analytic conditional Wiener integral of the function $G_r(x)=F(x){\Psi}(\int_{0}^{t}v_1(s)dx(s),{\ldots},\int_{0}^{t}v_r(s)dx(s))$ for F in a Banach algebra and for ${\Psi}=f+{\phi}$ which need not be bounded or continuous, where $f{\in}L_p(\mathbb{R}^r)(1{\leq}p{\leq}{\infty})$, {$v_1,{\ldots},v_r$} is an orthonormal subset of $L_2[0,t]$ and ${\phi}$ is the Fourier transform of a measure of bounded variation over $\mathbb{R}^r$. Finally we establish various change of scale transformations for the generalized analytic conditional Wiener integrals of $G_r$ with the conditioning function $Z_n$.

대칭 램지 수의 실험적 증명 (Experimental Proof for Symmetric Ramsey Numbers)

  • 이상운
    • 한국컴퓨터정보학회논문지
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    • 제20권3호
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    • pp.69-74
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    • 2015
  • 본 논문은 램지 수에 대해 해결하지 못한 $43{\leq}R(5,5){\leq}49$$102{\leq}R(6,6){\leq}165$의 문제를 해결하였다. $k_n$ 완전 그래프의 램지 수 R(s,t)는 임의의 정점 ${\upsilon}$의 n-1개 부속 간선수가 (n-1)/2=R과 (n-1)/2=B의 2가지 색으로 정확히 양분된다. 따라서 임의의 정점 ${\upsilon}$로부터 거리 개념을 적용하여 {$K_L,{\upsilon}$}의 (n-1)/2=R, ${\upsilon},K_R$의 (n-1)/2=B색이 되도록 $K_n=K_L+{\upsilon}+K_R$ 분할 그래프를 형성하였다. 이로부터 $K_L$$K_{s-1)$의 R색을 형성하면 $K_s$를 얻을 수 있다. $K_R$$K_{t-1}$의 B색을 형성하면 $K_t$를 얻는다. $K_L$$K_R$의 최대 거리는 짝수와 모든 정점의 부속 간선 수는 동일하다는 필요충분조건을 만족시키는 $R(s,t)=K_n$을 구하였다. 결국, R(5,5)=43과 R(6,6)=91을 증명하였다.

소방공무원의 직무질환에 관한 연구 (A Study on Occupational Diseases of Fire Officials)

  • 조광래
    • 시큐리티연구
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    • 제61호
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    • pp.109-135
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    • 2019
  • 본 연구는 소방공무원의 직무질환(진료건수)에 대한 시계열 분석 등 기술적 탐색 연구를 진행하는데 그 목적이 있다. 구체적인 연구결과는 다음과 같다. 첫째, 소방공무원의 직무질환에 대한 평균추이는 ① 내과 질병은 12월이 9.24%로 가장 높고, 2월이 7.76%로 가장 낮고, ② 이비인후과 질병은 12월이 9.29%로 가장 높고, 8월이 6.74%로 가장 낮으며, ③ 피부과 질병은 7월이 10.03%로 가장 높고, 1월과 2월이 7.35%로 가장 낮고, ④ 외과 질병은 11월이 10.38%로 가장 높고, 2월이 5.62%로 가장 낮으며, ⑤ 정형외과 질병은 3월이 9.69%로 가장 높고, 11월이 7.52%로 가장 낮고, ⑥ 신경외과 질병은 4월이 9.33%로 가장 높고, 2월이 6.82%로 가장 낮으며, ⑦ 재활의학과 질병은 12월이 9.47%로 가장 높고, 10월이 7.06%로 가장 낮고, ⑧ 정신건강의학과 질병은 12월이 9.93%로 가장 높고, 5월이 6.51%로 가장 낮은 것으로 나타났다. 둘째, 소방공무원의 직무질환에 대한 계절분해는 ① 내과 질병은 1.075(S) × 189.355(T·C) × 1.174(R) = 238.975(F), ② 이비인후과 질병은 1.023(S) × 69.605(T·C) × 1.040(R) = 74.000(F), ③ 피부과 질병은 1.002(S) × 73.088(T·C) × 0.874(R) = 64.000(F), ④ 외과 질병은 1.099(S) × 27.229(T·C) × 0.669(R) = 20.000(F), ⑤ 정형외과 질병은 1.115(S) × 73.182(T·C) × 1.213(R) = 99.000(F), ⑥ 신경외과 질병은 0.993(S) × 27.836(T·C) × 1.303(R) = 36.000(F), ⑦ 재활의학과 질병은 1.029(S) × 62.417(T·C) × 1.152(R) = 74.000(F), ⑧ 정신건강의학과 질병은 1.210(S) × 8.781(T·C) × 1.035(R) = 11.000(F) 등으로 나타났다.

HARDY-LITTLEWOOD MAXIMAL FUNCTIONS IN ORLICZ SPACES

  • Yoo, Yoon-Jae
    • 대한수학회보
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    • 제36권2호
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    • pp.225-231
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    • 1999
  • Let Mf(x) be the Hardy-Littlewood maximal function on $\mathbb{R}^n$. Let $\Phi$ and $\Psi$ be functions satisfying $\Phi$(t) = ${\int^t}_0$a(s)ds and $\Psi(t)$ = ${\int^t}_0$b(s)ds, where a(s) and b(s) are positive continuous such that ${\int^\infty}_0\frac{a(s)}{s}ds$ = $\infty$ and b(s) is quasi-increasing. We show that if there exists a constant $c_1$ so that ${\int^s}_0\frac{a(t)}{t}dt\;c_1b(c_1s)$ for all $s\geq0$, then there exists a constant $c_1$ such that(0.1) $\int_{\mathbb{R^{n}}$ $\Phi(Mf(x))dx\;\leq\;c_2$ $\int_\mathbb{R^{n}}$$\Psi(c_2\midf(x)\mid)dx$ for all $f\epsilonL^1(R^n_$. Conversely, if there exists a constant $c_2$ satisfying the condition (0.1), then there exists a constant $c_1$ so that ${\int^s}_\delta\frac{a(t)}{t}dt=;\leq\;c_1b(c_1s$ for all $\delta$ > 0 and $s\geq\delta$.

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우리나라 학술 잡지의 발달 과정 연구 (A Study on the Development of Academic Magazines in Korea)

  • 한복희
    • 정보관리학회지
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    • 제6권1호
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    • pp.3-14
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    • 1989
  • 본 연구는 학술 잡지의 발달 과정과 그 특징, 연구 논문 편수의 증가와 학회의 발달 과를 고찰하므로서 우리나라 학자들의 논문 발표의 주된 수단이 무엇인지, 학술 정보의 생 산과 축적 수단으로서 학술 잡지의 기능을 밝히고 도서관 정보 봉사를 설계하거나 개선함에 있어 올바른 방향 설정에 도움이 될 객관적 근거를 마련하는데 그 목적이 있다.

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대구.경북지역 일부 양호교사의 업무수행에 미치는 요인분석 (An Analytic Study on factors Affecting the School Nurse's Activities in Daegu City and Kyungpook Province)

  • 곽오계
    • 지역사회간호학회지
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    • 제1권1호
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    • pp.503-517
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    • 1989
  • This study is to analyze factors affecting the school nurse's activities. The survey was undertaken during Sept. 1-Nov. 30, 1986. The subjects were 137 school nurses from elementary, junior-high, and senior-high schools in Daegu City and Kyungppk Province. The results are as follows: 1. Correlational findings between school nurse's self-confidence and their general characteristics 1) Program Planning & Evaluation: Health Experinece(r=-0.1803, p<0.05) Salary Step(r=-0.1741, p<0.05) 2) Clinic Management: Salary STep(r=-0.2580, p<0.01) 3) Health Education: Salary Step(r=-0.1929, p<0.05) 4) Management of School Environment: Salary Step(r=-0.2501, p<.05) 5) Health Care Services: Health Experience(r=0.1901, p<0.05) Salary Step(r=-0.2424, p<0.05) 2. The degrees of school nurse's self-confidence(high: 4 point, low: 1 point) 1) Clinic Management: 2.92 2) Health Education: 2.86. 3) Program Planning & Evaluation: 2.74 4) Health Care Services: 2.73 5) Management of School Environment: 2.67 6) Operating of School Health Organization: 2.42 3. Significances to self-confidence on school nurse's activities 1) Program Planning as Evaluation: Expending Times for Health Care Services (r=-0.2262, p<0.05) Expending Times for Health Education (r=0.2943, p<0.05) Size of Clinic(r=0.2163, p<0.05) Location of Clinic(t=2.43, gH0.047) Use of Clinic(t=2.06, p<0.007) 2) Clinic Management: Location of Clinic (t=3.36, p<0.010) 3) Health Education: Purchase of Medicine(r=-0.1736, p<0.05) No, of Classes (r=-0.1794, p<0.05) (4) Management of School Environment: School Health Budget(r=0.1731, p<0.05) Home Message(r=0.1805, p<0.05) Location of Clinic(t=4.46, p<0.0001) 5) Operating of School Health Organization: School Health Budget(r=0.1878, p<0.05) Use of Clinic(t:1.90, p<0.018) 6) Health Care Services: School Health Budget(r=1.90, p<0.018) Expending Times for Health Education(r=0.2577, p<0.05) Size of Clinic(r=0.4336, p<0.001) Location of Clinic(t:5.10, p<0.001)

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DOUBLE PAIRWISE (r, s)(u, v)-PRECONTINUOUS MAPPINGS

  • Lee, Eun Pyo;Lee, Seung On
    • 충청수학회지
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    • 제30권1호
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    • pp.1-13
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    • 2017
  • We introduce the concepts of (${\mathcal{T}}^{{\mu}{\gamma}},{\mathcal{U}}^{{\mu}{\gamma}}$)-double (r, s)(u, v)-preclosures and (${\mathcal{T}}^{{\mu}{\gamma}},{\mathcal{U}}^{{\mu}{\gamma}}$)-double (r, s)(u, v)-preinteriors. Using the notions, we investigate some of characteristic properties of double pairwise (r, s)(u, v)-precontinuous mappings.

ZnO의 과잉첨가가 Ba(${Zn}_{1/3}{Ta}_{2/3}$)$O_3$세라믹스의 마이크로파 유전특성에 미치는 영향 (Effect of Excess ZnO on Microwave Dielectric Characteristics of Ba(${Zn}_{1/3}{Ta}_{2/3}$)$O_3$ Ceramics)

  • 이두희;윤석진;박창엽
    • 대한전기학회논문지
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    • 제43권4호
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    • pp.613-619
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    • 1994
  • Dielectric properties of Ba(ZnS11/3TTaS12/3T)OS13T+x ZnO(x=0, 0.4, 0.8, 1.0 wt%) ceramics have been investigated at microwave frequencies. With excess ZnO, the sinterability was improved and the dielectric constant($\varepsilon$S1rT) and the unloaded quality factor(QS1UT) were increased. The structure changed into hexagonal from pseudocubic as being annealed at 140$0^{\circ}C$ in excess ZnO composition. Also, the temperature coefficient of the resonant frequency ($\tau$S1fT) turned into (-)ppm/$^{\circ}C$ when sintered at 155$0^{\circ}C$ for 2 hours. But the specimen sintered in ZnO muffling showed increased density and $\varepsilon$S1rT but lowerde QS1uT. Among the specimen investigated, expecially the composition added with 0.4wt% excess ZnO showed the most optimum dielectric values ($\varepsilon$S1rT=28, QS1uT x f=120000GHz) better than those of original Ba(ZnS11/2T TaS12/3T)OS13T ceramics.

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핵심 잡지의 결정 요인에 관한 연구

  • 김선호
    • 정보관리학회지
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    • 제5권1호
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    • pp.53-78
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    • 1988
  • The purpose of this study is to verify the factors determining core journals in a field based upon the results of the citation analysis of the journals in the field of Korean History(KH). In order to verify the determinant factors, dividing the articles of the KH journals into their novelty and author's seniority, the following hypotheses were established. Hypothesis 1: When a KH journal publishes more articles on prehistoric and ancient eras than others, the journal will have higher chance to be included in the core journals. Hypothesis 2: When a KH journal publishes more articles by senior researchers than others, the journal will have higher chance to be included in the core journals. To achieve the purpose, the cited articles found in the two sample journals, namely, Backsan Hakbo and Hanguksa Yongu were analysed during the past 20 years from 1962 to 1981. Applying the Hirst's Discipline Impact Factor method to the the study, Historical Science Impact Factor(HSIF) on the samples itself and the historical era dealt with in the articles and the seniority of the authors during every five-year period. Based upon thr present study to ver~fy the two hypotheses, the following conclusions have been reached. 1) Tht. most influencing sublect mattcr era or1 thix liSIF of the lo~lrual is arranged in prehistoric arid ancient, Koryo, Chosun, recent era, and the others by order of era. 2 ) Clial~g~~lg a fringe or semicore journal u~to a core j ~ u r n a l , very IISIF' 011 it> article e r a 1s grown up arrd prcllistoric a ~ ~ d ancierlt era:. are, s p c c ~ a l l ~ , incr.eased high relatively. Char~ging a core journal int:~ a fr~ngr or semicort. journal, t.very IISIF ti dropped and prel~istc~ric and ancieut taras arc, fallen sharp relatively. 3) The most irlflr~encin~ s~niority 011 the t1SII- of ihc journal I. the senior.., written or1 prehistoric and ancient eras. Above all, the senilir'b HSIF olr prehistoric anti anclent e r a s a r e most ~nfluencing the cliangi~rg of the core journal into the fringe ur bemicore. .i) flypothesis fl is no1 vcrif~ed i r t general. T l ~ e rt, lative connections bet wee^^ the senior's HSIF 011 each era and tht, ~ l ~ a l ~ g i t l g of the tort. ji1ur.tia1 arc \:er~fied in part hut r~ot in the wliole. 5) 'The reason why the 11SIF or1 prehistori~. arid ar~cic~nt e r a s is higl~er than others can be assumed becaltic the new <, xcavations a r r contit~ued actively i l l the prrsr.llt as to the relics arid remains or1 that eras. Accordingly, the HSIF' r i l l thr 11ew 3ubject matter l~ke arcl~acmlogy trends to grow up greatly. Bctween the senior's and juriior's JISIE', junior'.; is higl~er than s., nior's except ancient e r a . That reason can be assumed bccausr Iunlorb t r j to solve the ex~sting problems thr~urglr their ow11 new viewpoints and sights. So, i t should be studied whether the 11SlF on the artic1t.s of the new subject matters and viewpoirrts is influenced to the changing of the core jorlrnal or not.

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