• Journal of applied mathematics & informatics
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• 제32권1_2호
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• pp.227-245
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• 2014

Suppose G is a simple graph. The ${\ell}$-eigenvalues ${\delta}_1$, ${\delta}_2$,..., ${\delta}_n$ of G are the eigenvalues of its normalized Laplacian ${\ell}$. The normalized Laplacian Estrada index of the graph G is dened as ${\ell}EE$ = ${\ell}EE$(G) = ${\sum}^n_{i=1}e^{{\delta}_i}$. In this paper the basic properties of ${\ell}EE$ are investigated. Moreover, some lower and upper bounds for the normalized Laplacian Estrada index in terms of the number of vertices, edges and the Randic index are obtained. In addition, some relations between ${\ell}EE$ and graph energy $E_{\ell}$(G) are presented.

• 대한화상학회지
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• 제22권2호
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• pp.38-44
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• 2019

Purpose: The immature granulocyte count has been reported to be a marker of infection and sepsis. The difference in leukocyte subfractions (delta neutrophil index, DNI) in ADVIA 2120 reflects the fraction of circulating immature granulocytes in the blood. This study evaluated the clinical utility of DNI as a severity and prediction marker in critically ill patients with burn sepsis. Methods: One hundred and sixty nine patients admitted to the burn care unit were studied. DNI (the difference in leukocyte subfractions identified by myeloperoxidase and nuclear lobularity channels) was determined using a specific blood cell analyzer. Results: Seventy one patients (42 %) were diagnosed with burn sepsis. DNI was significantly higher in patients with burn sepsis than in patients without (P<0.01). Delta neutrophil index was a better indicator of burn sepsis than C-reactive protein, lactate, white blood cell count, HCO3, base excess, lactate, procalcitonin (odds ratio, 6.31; confidence interval 2.36~16.90; P<0.01). And the receiver operating characteristic curves showed that delta neutrophil index, AUC 0.795 (95% confidence interval, 0.721~0.869; P<0.05) was a better predictor of burn sepsis than lactate, procalcitonin, white blood cell, base excess and abbreviated burn severity index. Conclusion: Delta neutrophil index may be used as a early marker of patients with burn sepsis.

• 한국광물학회지
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• 제4권1호
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• pp.32-42
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• 1991

직운산층의 열적변성도를 밝히기위해 일라이트의 '결정도'와 녹니석의 화학성분을 이용하였다. 직운산층의 일라이트 '결정도'값은 Weaver index로는 4.48에서 32.5에 이르며, Kubler index로는 $0.14{{\Delta}{\circ}}\;2{\Theta}$에서 $0.03{{\Delta}{\circ}}\;2{\Theta}$에 이른다. 대부분의 일라이트 '결정도'값은 epizone의 영역 (K. I.< $0.21{{\Delta}{\circ}}\;2{\Theta}$)에 속한다. 직운산층 녹니석에 의해 계산된 온도와 그 화학 분석치(Fe/(Fe+Mg)=0.45, Tet. Al/Octa. Al=0.84, the calculated temperature=250-270${\circ}C$)는 기존의 epizone 녹니석의 연구결과와 잘 일치한다. 이 연구의 결과는 직운산층의 변성정도가 epizone에 속하고 직운산층은 과거에 적어도 300${\circ}C$의 온도에 도달했다는 것을 나타낸다.

• 한국지반공학회논문집
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• 제27권9호
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• pp.37-46
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• 2011

압축지수는 점토의 압축특성을 나타내는 대표적인 물성치로, 압밀시험을 통해 직접 결정하거나 기본 물성으로부터 경험적으로 추정한다. 본 연구에서는 부산 및 인천점토의 퇴적상태를 파악하고 이것이 압축지수 추정식에 미치는 영향에 분석하였다. 이를 위해 부산 및 인천 점토의 재성형점토 압밀시험을 수행하고 자연점토 압밀시험 결과를 분석하였다. 분석결과 부산점토는 SCL보다 높은 간극지수를, 인천점토는 SCL보다 낮은 간극지수를 나타냈다. 퇴적상태를 나타내는 ${\Delta}e_r$을 압축지수 추정오차와 비교한 결과 액성한계 및 소성지수로 추정한 압축지수의 추정오차는 ${\Delta}e_r$이 증가함에 따라 감소하는 경향이 나타났다. 본 연구에서는 이러한 관계를 이용하여 부산 및 인천점토의 압축지수를 보다 정확히 추정할 수 있는 방법을 제안하였다.

• Journal of applied mathematics & informatics
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• 제24권1_2호
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• pp.357-366
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• 2007

Let G(V, E) be a simple graph, and let f be an integer function on V with $1{\leq}f(v){\leq}d(v)$ to each vertex $v{\in}V$. An f-edge cover-coloring of a graph G is a coloring of edge set E such that each color appears at each vertex $v{\in}V$ at least f(v) times. The f-edge cover chromatic index of G, denoted by ${\chi}'_{fc}(G)$, is the maximum number of colors such that an f-edge cover-coloring of G exists. Any simple graph G has an f-edge cover chromatic index equal to ${\delta}_f\;or\;{\delta}_f-1,\;where\;{\delta}_f{=}^{min}_{v{\in}V}\{\lfloor\frac{d(v)}{f(v)}\rfloor\}$. Let G be a connected and not complete graph with ${\chi}'_{fc}(G)={\delta}_f-1$, if for each $u,\;v{\in}V\;and\;e=uv{\nin}E$, we have ${\chi}'_{fc}(G+e)>{\chi}'_{fc}(G)$, then G is called an f-edge covered critical graph. In this paper, some properties on f-edge covered critical graph are discussed. It is proved that if G is an f-edge covered critical graph, then for each $u,\;v{\in}V\;and\;e=uv{\nin}E$ there exists $w{\in}\{u,v\}\;with\;d(w)\leq{\delta}_f(f(w)+1)-2$ such that w is adjacent to at least $d(w)-{\delta}_f+1$ vertices which are all ${\delta}_f-vertex$ in G.

• 전기학회논문지
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• 제60권11호
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• pp.2017-2020
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• 2011

Flicker, which is also known as voltage fluctuation, is an electromagnetic phenomenon generated by large scale nonlinear loads, such as arc furnaces and welding machines. Since a severe and continuous flicker can cause to some damages to electrically sensitive loads as well as human's visual irritations, it needs to be appropriately managed by being accurately measured, quantified and assessed. In Korea, an equivalent 10-Hz flicker index, shortly ${\Delta}V10$, is used to determine the permission limit of flicker. This paper presents an efficient calculation of the flicker index by using a half-cycle sliding window and a recursive method, showing a concrete calculating procedure of ${\Delta}V10$ from the viewpoint of signal processing.

• Korean Chemical Engineering Research
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• 제56권5호
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• pp.663-678
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• 2018

Refractive index and speeds of sound for the binary mixture of isomer of butanol (1) + cyclohexane, benzene and toluene (2) were measured at 308.15 K. The measured data were used to calculate deviation in refractive index ${\Delta}n$, ultrasonic speed ${\Delta}u$, isentropic compressibility $K_s^E$, available volume $V_a$, excess intermolecular free length $L_f$ and molecular association $M_A$. All the derived properties were correlated with polynomial equation. Ultrasonic speed data were predicted using various empirical correlations like Nomoto, van Dael, impedance dependence and theoretically with Schaaff's collision factor theory (CFT). Jacobson free length theory (FLT) was used to calculate $L_f$. The measured refractive index was also correlated with various mixing rules. The deviation in refractive index Δn and ultrasonic speed ${\Delta}u$ was used to determine the intermolecular interactions.

• Journal of applied mathematics & informatics
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• 제19권1_2호
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• pp.127-133
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• 2005

An f-coloring of a graph G = (V, E) is a coloring of edge set E such that each color appears at each vertex v $\in$ V at most f(v) times. The minimum number of colors needed to f-color G is called the f-chromatic index $\chi'_f(G)$ of G. Any graph G has f-chromatic index equal to ${\Delta}_f(G)\;or\;{\Delta}_f(G)+1,\;where\;{\Delta}_f(G)\;=\;max\{{\lceil}\frac{d(v)}{f(v)}{\rceil}\}$. If $\chi'_f(G)$= ${\Delta}$f(G), then G is of $C_f$ 1 ; otherwise G is of $C_f$ 2. In this paper, the classification problem of complete graphs on f-coloring is solved completely.

• 한국산학기술학회논문지
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• 제12권12호
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• pp.5957-5962
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• 2011

본 연구에서는, 시화지구 북동지역 지반에 대하여 네 가지 종류의 콘계수 값들($N_{kt}$, $N_{ke}$, $N_{{\Delta}u}$, 최근 제안된 $N_e$)과 지반의 특성치들과의 관계를 고찰하였다. 다양한 실험결과를 활용하여 계산한 비배수강도와 실제 측정된 비배수강도를 비교하였으며, 이들 값들과 소성지수와의 관계를 분석하였다. $N_{{\Delta}u}$를 활용하여 구한 비배수강도는 의외로 좋은 결과를 보여주지 못했으며, 소성지수 값이 커질수록 콘계수 값이 커지는 현상이 고찰되었다.

• 한국운동역학회지
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• 제26권2호
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• pp.143-151
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• 2016

Objective: The purpose of this study was to investigate the effect of fatigue induction on ground reaction force (GRF) components, postural stability, and vertical jump performance in Taekwondo athletes. Method: Ten Taekwondo athletes (5 men, 5 women; mean age, $22.30{\pm}2.62years$; mean height, $174.21{\pm}9.20cm$; mean body weight, $67.28{\pm}12.56kg$) participated in this study. Fatigue was induced by a short period of strenuous exercise performed on a motorized treadmill. The analyzed variables included vertical jump performance, static stability (mediolateral [ML], center of pressure [COP], anteroposterior [AP] COP, ${\Delta}COPx$, ${\Delta}COPy$, and COP area), postural stability index values (ML stability index [MLSI], AP stability index [APSI], vertical stability index [VSI], dynamic postural stability index [DPSI]), and GRF components (ML force, AP force, peak vertical force [PVF], and loading rate). To analyze the variables measured in this study, PASW version 22.0 was used to calculate the mean and standard deviation, while a paired t-test was used to evaluate the pre- versus post-fatigue results. Pearson's correlation coefficients among variables were also analyzed. The statistical significance level was set at ${\alpha}$ = .05. Results: Vertical jump performance decreased significantly after the induction of fatigue, while AP COP, ${\Delta}COPx$, COP area, APSI, VSI, and DPSI increased significantly. PVF and loading rate increased significantly after the induction of fatigue, while the postural stability variables (AP COP, ${\Delta}COPy$, COP area, APSI, VSI, DPSI) were similarly correlated with GRF components (PVF, loading rate) after fatigue was achieved (r = .600, $R^2$ = 37%). Conclusion: These results suggest that the induction of fatigue can decrease postural stability and exercise performance of Taekwondo athletes during training and competition sessions.