• Title/Summary/Keyword: fT

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RELATIONS BETWEEN THE ITO PROCESSES

  • Choi, Won
    • Communications of the Korean Mathematical Society
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    • v.10 no.1
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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.
    • Bulletin of the Korean Mathematical Society
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    • v.46 no.5
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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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    • v.37 no.1_2
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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.

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

  • Ahn, Ji-Won;Pandey, Sudhir Kumar;Kim, Ki-Hyun
    • Analytical Science and Technology
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    • v.23 no.5
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    • pp.465-476
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    • 2010
  • In this study, a number of volatile organic compounds (VOCs) including benzene, toluene, p-xylene, styrene, and methyl ethyl ketone were analyzed from samples collected in ambient air and under the field conditions. These samples were analyzed independently by two different set-ups for VOC analyses, i.e., between [1] gas chromatography/flame ionization detector with tube sampling - (F-T system) and [2] gas chromatography/mass spectrometer with bag sampling (M-B system). The analytical results derived by both systems showed fairly similar patterns in relative sense but with moderately large differences in absolute sense. The results of M-B system were high relative to F-T system with the F-T/M-B ratio below 1. If the relative biases of the two measurement techniques are derived in terms of percent difference (PD) in concentration values, the results were generally above 35% on average. A student t-test was applied to investigate the statistical significance of those differences between the systems. The results of both analytical systems were different at 95% confidence level for toluene, p-xylene, styrene, and methyl ethyl ketone (P < 0.043). However, F-T and M-B systems showed strong correlations for toluene and p-xylene. The observed bias is explained in large part by such factors as the differences in standard phases used for each system and the chemical loss inside the bag sampler.

Convolution product and generalized analytic Fourier-Feynman transforms

  • Chang, Seung-Jun
    • Communications of the Korean Mathematical Society
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    • v.11 no.3
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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
    • Journal of the Korean Mathematical Society
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    • v.33 no.1
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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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A Label Assignment Scheme using F/T Classifier in MPLS (MPLS에서 F/T 분류기를 이용한 레이블 할당 방안)

  • Kim, Kwang-Su;Lee, Jae-Kee
    • Proceedings of the Korea Information Processing Society Conference
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    • 2002.11b
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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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    • v.27 no.2
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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.

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

  • Park, Yu Jin;Lee, Eun Ja
    • Journal of Korean Clinical Nursing Research
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    • v.21 no.1
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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.

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

  • Sung Mi-Hae;Ahn Ran Sa;Chang Mi Sook
    • Child Health Nursing Research
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    • v.10 no.3
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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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