• 제목/요약/키워드: $f_T$

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RELATIONS BETWEEN THE ITO PROCESSES

  • Choi, Won
    • 대한수학회논문집
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    • 제10권1호
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    • pp.207-213
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    • 1995
  • Let $(\Omega, F, P)$ be a probability space with F a $\sigma$-algebra of subsets of the measure space $\Omega$ and P a probability measure on $\Omega$. Suppose $a > 0$ and let $(F_t)_{t \in [0,a]}$ be an increasing family of sub-$\sigma$-algebras of F. If $r > 0$, let $J = [-r,0]$ and $C(J, R^n)$ the Banach space of all continuous paths $\gamma : J \to R^n$ with the sup-norm $\Vert \gamma \Vert = sup_{s \in J}$\mid$\gamma(s)$\mid$$ where $$\mid$\cdot$\mid$$ denotes the Euclidean norm on $R^n$. Let E,F be separable real Banach spaces and L(E,F) be the Banach space of all continuous linear maps $T : E \to F$.

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EVERY POLYNOMIAL OVER A FIELD CONTAINING 𝔽16 IS A STRICT SUM OF FOUR CUBES AND ONE EXPRESSION A2 + A

  • Gallardo, Luis H.
    • 대한수학회보
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    • 제46권5호
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    • pp.941-947
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    • 2009
  • Let q be a power of 16. Every polynomial $P\in\mathbb{F}_q$[t] is a strict sum $P=A^2+A+B^3+C^3+D^3+E^3$. The values of A,B,C,D,E are effectively obtained from the coefficients of P. The proof uses the new result that every polynomial $Q\in\mathbb{F}_q$[t], satisfying the necessary condition that the constant term Q(0) has zero trace, has a strict and effective representation as: $Q=F^2+F+tG^2$. This improves for such q's and such Q's a result of Gallardo, Rahavandrainy, and Vaserstein that requires three polynomials F,G,H for the strict representation $Q=F^2$+F+GH. Observe that the latter representation may be considered as an analogue in characteristic 2 of the strict representation of a polynomial Q by three squares in odd characteristic.

SOME 4-TOTAL PRIME CORDIAL LABELING OF GRAPHS

  • PONRAJ, R.;MARUTHAMANI, J.;KALA, R.
    • Journal of applied mathematics & informatics
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    • 제37권1_2호
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    • pp.149-156
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    • 2019
  • Let G be a (p, q) graph. Let $f:V(G){\rightarrow}\{1,2,{\ldots},k\}$ be a map where $k{\in}{\mathbb{N}}$ and k > 1. For each edge uv, assign the label gcd(f(u), f(v)). f is called k-Total prime cordial labeling of G if ${\mid}t_f(i)-t_f(j){\mid}{\leq}1$, $i,j{\in}\{1,2,{\ldots},k\}$ where $t_f$(x) denotes the total number of vertices and the edges labelled with x. A graph with a k-total prime cordial labeling is called k-total prime cordial graph. In this paper we investigate the 4-total prime cordial labeling of some graphs.

분석기법의 차이에 따른 현장시료의 VOC 분석결과 비교연구: 분석오차의 발생 양상과 원인 (A comparative analysis of volatile organic compound levels in field samples between different gas chromatographic approaches)

  • 안지원;수딜 팬디;김기현
    • 분석과학
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    • 제23권5호
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    • pp.465-476
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    • 2010
  • 본 연구에서는 대기환경시료 및 현장조건에서 채취한 현장시료들 중, 악취성분 및 주요 VOC 성분들 중에서 여러 유형의 관리대상으로 지정 중인 benzene, toluene, p-xylene, styrene, methyl ethyl ketone의 농도분석 방식들을 비교하였다. 이때, GC/FID와 튜브를 연계한 F-T 분석방식과 GC/MS와 백(bag)을 연계한 M-B방식으로 같은 시료를 각각 분석하고 이들 결과 값을 비교하였다. 상관분석결과, toluene과 pxylene에서 F-T와 M-B방법간의 결과에서 큰 상관성을 보이는 것으로 나타났다(P < 1.4E-08). 양 기기간의 오차를 percent difference (PD)와 같이 산술적으로 구하여 평가한 결과, benzene과 toluene의 농도는 상대적으로 비슷한 경향을 보였다. 그러나 분석대상 성분들 간에 양 방식의 차이는 평균적으로 35%가 넘으면서 F-T와 M-B간의 오차가 일정 수준이상으로 존재하였다. 그리고 F-T/M-B ratio가 대부분 1 이하로 나타나면서, M-B의 결과 값이 F-T에 비해 상대적으로 크게 나타나는 경향을 보였다. 양 분석기기로부터 산출한 결과 값을 통계적으로 판단하기 위해, t-test를 실시하였다. 그 결과, 95% 신뢰수준에서 toluene, pxylene, styrene, methyl ethyl ketone 성분에서는 두 시스템간의 결과 값에 차이가 유의한 것으로 나타났다(P < 0.043). 그러나 전반적으로 양 분석기법의 차이에 따른 오차는 상당 부분 선택한 표준시료의 성상 및 백내부의 시료손실 등과 같은 요인에 크게 영향을 받는 것으로 나타났다.

Convolution product and generalized analytic Fourier-Feynman transforms

  • Chang, Seung-Jun
    • 대한수학회논문집
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    • 제11권3호
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    • pp.707-723
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    • 1996
  • We first define the concept of the generalized analytic Fourier-Feynman transforms of a class of functionals on function space induced by a generalized Brownian motion process and study of functionals which plays on important role in physical problem of the form $ F(x) = {\int^{T}_{0} f(t, x(t))dt} $ where f is a complex-valued function on $[0, T] \times R$. We next show that the generalized analytic Fourier-Feynman transform of the convolution product is a product of generalized analytic Fourier-Feynman transform of functionals on functin space.

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ON THE SPECTRAL MAXIMAL SPACES OF A MULTIPLICATION OPERATOR

  • Park, Jae-Chul;Yoo, Jong-Kwang
    • 대한수학회지
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    • 제33권1호
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    • pp.205-216
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    • 1996
  • In [13], Ptak and Vrbova proved that if T is a bounded normal operator T on a complex Hilbert space H, then the ranges of the spectral projections can be represented in the form $$ \varepsilon(F)H = \bigcap_{\lambda\notinF} (T - \lambda I) H for all closed subsets F of C, $$ where $\varepsilon$ denotes the spectral measure associated with T.

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MPLS에서 F/T 분류기를 이용한 레이블 할당 방안 (A Label Assignment Scheme using F/T Classifier in MPLS)

  • 김광수;이재기
    • 한국정보처리학회:학술대회논문집
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    • 한국정보처리학회 2002년도 추계학술발표논문집 (중)
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    • pp.1483-1486
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    • 2002
  • MPLS(Multiprotocol Label Switching)에서 레이블은 패킷의 스위칭에 사용되는 중요한 인자이다. 할당되는 레이블 수에 따라 MPLS 네트워크의 성능에 큰 영향을 미친다. 본 논문에서는 할당되는 레이블 수를 최소화하기 위해 F/T 분류기를 이용하는 방법을 제안하였다. 이 방법은 기존의 방법에 T 시간만큼을 더 경과한 후에 유입된 플로우들을 하나의 레이블로 할당하는 방법으로, 기존의 방법 보다 할당되는 레이블 수가 감소함을 네트워크 시뮬레이션을 이용한 실험으로 확인하였다.

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MAGNIFYING ELEMENTS IN A SEMIGROUP OF TRANSFORMATIONS PRESERVING EQUIVALENCE RELATION

  • Kaewnoi, Thananya;Petapirak, Montakarn;Chinram, Ronnason
    • Korean Journal of Mathematics
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    • 제27권2호
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    • pp.269-277
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    • 2019
  • Let X be a nonempty set, ${\rho}$ be an equivalence on X, T(X) be the semigroup of all transformations from X into itself, and $T_{\rho}(X)=\{f{\in}T(X)|(x,y){\in}{\rho}{\text{ implies }}((x)f,\;(y)f){\in}{\rho}\}$. In this paper, we investigate some necessary and sufficient conditions for elements in $T_{\rho}(X)$ to be left or right magnifying.

응급실 간호사의 자아탄력성, 재난에 대한 경험 및 재난간호 핵심수행능력과의 관계 (A Study on Ego-resilience, Disaster Experience and Core Competencies among Emergency Room Nurses)

  • 박유진;이은자
    • 임상간호연구
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    • 제21권1호
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    • pp.67-79
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    • 2015
  • Purpose: The study was aimed to describe the relationships between ego-resilience, disaster experience, and core competencies among emergency room (ER) nurses. Methods: Data were collected from ER nurses in Incheon and Kyunggi province from May to June 2014. Data were analyzed with descriptive study, t-test, ANOVA, and Pearson's correlation coefficient using SPSS/WIN 18.0 version. Results: Male respondents showed significantly higher ego-resilience than female respondents (t=-2.04, p=.043), and education (F=4.96, p=.002) and position (F=7.70, p=.001) were statistically significant. The differences in disaster experience was found in gender (t=-2.29, p=.023), age (F=4.25, p=.006), marital status (t=-2.02, p=.045), education (F=6.34, p<.001), religion (F=3.69, p=.015), and position (F=3.55, p=.031). Regarding core competencies for disaster nursing, age (F=7.80, p<.001), marital status (t=-3.00, p=.001), education (F=16.53, p<.001), career (F=5.40, p<.001), position (F=12.52, p<.001) were significantly different. Positive associations were found between core competencies for disaster nursing and ego-resilience (r=.66, p<.001), disaster experience and core competencies for disaster nursing (r=.52, p<.001), and disaster experience and ego-resilience (r=.33, p<.001). Conclusion: Core competencies were higher among ER nurses when they have higher ego-resilience, and more disaster experience. This finding suggests the need for improving ego-resilience among ER nurses. In addition, disaster education needs to be considered as a part of core nursing curriculum in college and clinical settings.

신생아 중환자실에 입원한 고위험 신생아 아버지의 스트레스 정도에 관한 연구 (Study on the Perceived Stress of Father of High-Risk Infants in Neonatal Intensive Care Unit(NICU))

  • 성미혜;안난사;장미숙
    • Child Health Nursing Research
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    • 제10권3호
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    • pp.251-261
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    • 2004
  • Purpose: To investigate the degree and sources of stress which fathers of infants in NICU experience. Method: Eighty-five fathers of NICU infants at 5 university hospitals in Seoul volunteered to complete the Parental Stressor Scale for NICU (PSS: NICU) from September 1, to October 15, 2002. Result: Total perceived stress was 3.50±0.76. The highest score were in Parental Role Alteration (3.76±0.83) and Appearance and Behavior (3.65±1.04). The total perceived stress score (PSS), correlated significantly with method (t=3.50, p=.01), and route (F=5.30, p=.00) of feeding. Light & Sound correlated significantly with birth weight (F=3.39, p=.02), medical diagnosis(F=2.30, p=.03), plan of operation(t=2.50, p=.01), operation (t=3.80, p=.02), method (F=4.90, p=.003), and route (F=4.70, p=.00) of feeding. Infant Appearance and Behavior correlated significantly with birth weight (F=5.12, p=.01), plan of operation (t=2.50, p=.01), method (F=3.50, p=.01), and route (F=7.80, p=.00) of feeding. Parental Role Alteration correlated significantly with care of incubator (t=-.68, p=.03), method of feeding (F=2.80, p=.04) and education level of father (F=3.00, p=.05). Conclusion: Father with NICU infants were concerned mostly with parental role alteration and infant appearance. Nursing intervention should include fathers of NICU infants.

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