• Title/Summary/Keyword: T1/E1

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CONVERGENCE OF APPROXIMATING FIXED POINTS FOR MULTIVALUED NONSELF-MAPPINGS IN BANACH SPACES

  • Jung, Jong Soo
    • Korean Journal of Mathematics
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    • v.16 no.2
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    • pp.215-231
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    • 2008
  • Let E be a uniformly convex Banach space with a uniformly $G{\hat{a}}teaux$ differentiable norm, C a nonempty closed convex subset of E, and $T:C{\rightarrow}{\mathcal{K}}(E)$ a multivalued nonself-mapping such that $P_T$ is nonexpansive, where $P_T(x)=\{u_x{\in}Tx:{\parallel}x-u_x{\parallel}=d(x,Tx)\}$. For $f:C{\rightarrow}C$ a contraction and $t{\in}(0,1)$, let $x_t$ be a fixed point of a contraction $S_t:C{\rightarrow}{\mathcal{K}}(E)$, defined by $S_tx:=tP_T(x)+(1-t)f(x)$, $x{\in}C$. It is proved that if C is a nonexpansive retract of E and $\{x_t\}$ is bounded, then the strong ${\lim}_{t{\rightarrow}1}x_t$ exists and belongs to the fixed point set of T. Moreover, we study the strong convergence of $\{x_t\}$ with the weak inwardness condition on T in a reflexive Banach space with a uniformly $G{\hat{a}}teaux$ differentiable norm. Our results provide a partial answer to Jung's question.

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Study on Viscoelastic Properties of Rice Plant (벼줄기의 점탄성(粘彈性) 특성(特性)에 관(關)한 연구(硏究))

  • Huh, Yun Kun
    • Korean Journal of Agricultural Science
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    • v.13 no.2
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    • pp.255-264
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    • 1986
  • The objectives of this study were to examine the viscoelastic behaviour of stem samples of rice in force-relaxation and rheological model to represent its relaxation behaviour, and to study the effects of rate of deformation and initial deformation on the relaxation time. The results were as follows; 1. In the process of loading and unloading, there is any plastic deformation so called elasto-plastic hysterisis. 2. Loading and unloading of stem of rice for several cycles has also shown the reduction of plastic or residual deformation and work hardening. 3. The relaxation behaviour of stem of rice in compression may be described by a generalized Maxwell model consisting of three Maxwell units in parallel. The rheological equation of such a model is given as $$F(t)=C_1e^{{-t/{\tau}}_1}+C_2e^{{-t/{\tau}}_2}+C_3e^{{-t/{\tau}}_3}$$ 4. Force relaxation always increased with increasing rates of deformation and initial deformation.

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Age, Growth and Spawning of Enedrias nebulosus (베도라치(Enedrias nebulosus)의 연령, 성장 및 산란)

  • KANG Yong-Joo;KIM Yeong-Hye;KIM Won-Tae
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.29 no.2
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    • pp.191-196
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    • 1996
  • Age growth and spawning period of Enedrias nebulosus were estimated based on otoliths taken from a total of 255 fish samples of E. nebulosus, which were caught in the costal waters of $Kod\v{o}kto$ near Pusan from November 1990 to October 1991. Marginal increment analysis indicates that annuli in E. nebulosus are formed in December. Spawning period was estimated to be November to January, with a peak in December. The von Bertalanffy growth equations were expressed as follows: $L_t=33.64(1-e^{-0.1357(t+2.6853)})$ and $W_t=414.11(1-e^{-0.1357(t+2.6853)})^{3.9745}$, Where $L_t$, is total length in cm, $W_t$, is total weight in g and t is age in year.

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Changing patterns of Clonorchis sinensis infections in Kyongbuk, Korea (경북지역에 있어서 간흡충 감염상의 변화)

  • 주종윤;정명숙
    • Parasites, Hosts and Diseases
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    • v.35 no.3
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    • pp.155-164
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    • 1997
  • Studies were conducted from May, 1993 to April, 1995 to determine the changing patterns of infection Ity the liver fluke, Clonorchis sinensis, among residents and fish hosts in Kyongbuk Province. The infection rate among residents was 7.7% by stool examination. The rate in males (11.3%) was significantly higher than females (4.1%) Positive rate of intradermal test was 27.6% in the same population. The special type of a simple catalytic model was applied for the analysis of intradermal positive reactors by age arid sex, ann the equation was Y= 0.4776 t (1 -e-0.0375t) for mates ann, y : 0.2085 (1-e-0.0138t) for females. Analysis of stool examination data by two-stage catalytic model revealed y : 0.025 (e-0.0047t _ e-0.0235t). The annual Clonorchis infection rate was 4.7 per 1,000 susceptibles and the annual loss rate was 23.5 per 1,000 infected. The frequency distribution by the eggs per gram (EPG) was calculated as well as the cumulative percentages of positives. The regression equations were y : 0.929+ 1.506 log x for males and, y : 0.473 + 1.767 log x for females. Of the 25 fish species, 7 species were infected with Clonorchis mrtacercariae. Infection rates varied by the species, and ranged from 2.8% in Punfun,Bia herzi to 30.0% in Pseudorasbora panic. Average number of the matacercariae per gram of flesh was 58.1 in p. pnnpa, followed by 10.2 in Gncthopogon atromoculntus, 7.0 in Saurosobio dobryj, and 3.0 in Pcrccheilogncthus rhonlben. The present study indicates that clonorchiasis in Kyongbuk Province is less prevalent than that of several decades ago.

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Effect of Replacing Antibiotics by Herb Extracts and Digestive Enzymes Containing Vitamin E and Oriental Medicinal Plants Byproduct on Blood Serum Cholesterol and Meat Qualities in the Hog Loin Meat (항생제 대체를 위한 비타민 E 및 한방부산물을 포함한 허브추출물 및 효소제 복합처리가 거세돈의 혈액콜레스테롤 및 식육의 품질에 미치는 영향)

  • Kang, Suk-Nam;Kim, Jong-Duck;Kim, Il-Suk;Jin, Sang-Keun;Lee, Moo-Ha
    • Food Science of Animal Resources
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    • v.27 no.1
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    • pp.87-94
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    • 2007
  • This study was carried out to know the effect of the oriental medicinal plants byproduct containing vitamin E and 0.1% antibiotics (T1) and the oriental medicinal plants byproduct containing vitamin E and the replacing antibiotics by 0.03% herb extracts (T2) and 0.1% aminolevulinic acid (T3) on production performance of finishing hog and its meat qualities. There were no significant differences in the daily weight gain, feed intake, and feed conversion rate values between all treatment groups. However, the T2 group tends to have a higher daily weight gain (g/day) than the other groups (p>0.05). The T2 group showed lower total-cholesterol and LDL-cholesterol contents (114.71 and 68.09 mg/dl, respectively) than the control in the blood serum (p<0.001), and all the treated groups of oriental medicinal plants byproduct and vitamin E increased HDL-cholesterol and decreased LDL-cholesterol contents in the blood serum. Content of vitamin E in muscles from the group T1, T2 and T3 (2.11, 2.21 and 2.18 mg $kg^{-1}$, respectively) showed higher levels than those of control. The presence of antibiotics (chlortetracycline) in hog loin meat were detected (0.08 ppm) in control sample. However, there was no antibiotic in other treated hog loin meats (T1, T2 and T3, respectively). The thiobarbituric acid reactive substances and volatile basic nitrogen values of the groups T2 (0.06 mg MA $kg^{-1}$ and 11.21 mg%, respectively) and T3 (0.05 mg MA $kg^{-1}$ and 8.23 mg%, respectively) were significantly (p<0.05) lower than that of control in loin meat. However, there was no significant difference between treated samples (T1, T2 and T3, respectively) and control in cooking loss and drip loss.

The Effects on Anti-inflammatory Action in HaCaT Cells and Inhibiting Sebum Secretion in SEB-1 Cells by Gleditsiae Fructus Extract (조협 추출물이 HaCaT cells의 항염증과 SEB-1 cells의 피지분비 억제에 미치는 영향)

  • Koo, Eun Jin;Han, Jae Kyung;Kim, Yun Hee
    • The Journal of Pediatrics of Korean Medicine
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    • v.30 no.2
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    • pp.96-106
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    • 2016
  • Objectives The purpose of this study is to investigate the effects of Gleditsiae Fructus 70% EtOH extract (JS_E) on anti-inflammatory action in HaCaT cells (A spontaneously immortalized human keratinocyte cell line) and inhibiting triglyceride genesis in SEB-1 cells (Immortalized human sebocyte). Methods The anti-inflammatory effect of JS_E was analyzed by enzyme-linked immunosorbent assays (ELISA) which measured levels of IP-10, RANTES and MDC in HaCaT cells. Also the effect on secretion of sebum of JS_E was analyzed by TG-S kit which measured the quantity of triglyceride in SEB-1 cells. Results JS_E inhibited IP-10, RANTES and MDC expression in a dose dependent manner. IP-10 expression was inhibited significantly in comparison to TNF-${\alpha}$ and IFN-${\gamma}$ recombination (TI) control group at concentration of JS_E $200{\mu}g/ml$ and RANTES and MDC expressions were inhibited significantly at concentration of JS_E 100, $200{\mu}g/ml$. JS_E also inhibited triglyceride secretion of SEB-1 cells significantly in comparison to the control group in a dose dependent manner. Conclusions This study shows that JS_E has the effects of anti-inflammatory action and inhibiting sebum secretion. According to these results, JS_E can be used for treating skin diseases such as acne and dermatitis caused by inflammation and excessive secretion of sebum by controlling the activity of the HaCaT and SEB-1 cells.

[r, s, t; f]-COLORING OF GRAPHS

  • Yu, Yong;Liu, Guizhen
    • Journal of the Korean Mathematical Society
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    • v.48 no.1
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    • pp.105-115
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    • 2011
  • Let f be a function which assigns a positive integer f(v) to each vertex v $\in$ V (G), let r, s and t be non-negative integers. An f-coloring of G is an edge-coloring of G such that each vertex v $\in$ V (G) has at most f(v) incident edges colored with the same color. The minimum number of colors needed to f-color G is called the f-chromatic index of G and denoted by ${\chi}'_f$(G). An [r, s, t; f]-coloring of a graph G is a mapping c from V(G) $\bigcup$ E(G) to the color set C = {0, 1, $\ldots$; k - 1} such that |c($v_i$) - c($v_j$ )| $\geq$ r for every two adjacent vertices $v_i$ and $v_j$, |c($e_i$ - c($e_j$)| $\geq$ s and ${\alpha}(v_i)$ $\leq$ f($v_i$) for all $v_i$ $\in$ V (G), ${\alpha}$ $\in$ C where ${\alpha}(v_i)$ denotes the number of ${\alpha}$-edges incident with the vertex $v_i$ and $e_i$, $e_j$ are edges which are incident with $v_i$ but colored with different colors, |c($e_i$)-c($v_j$)| $\geq$ t for all pairs of incident vertices and edges. The minimum k such that G has an [r, s, t; f]-coloring with k colors is defined as the [r, s, t; f]-chromatic number and denoted by ${\chi}_{r,s,t;f}$ (G). In this paper, we present some general bounds for [r, s, t; f]-coloring firstly. After that, we obtain some important properties under the restriction min{r, s, t} = 0 or min{r, s, t} = 1. Finally, we present some problems for further research.

THE EFFECTS OF LOW INTENSITY-ULTRASOUND ON THE ACTIVITY OF MC3T3-E1 CELL IN VITRO (저강도 초음파 조사시 MC3T3-E1 세포의 활성에 미치는 영향)

  • Choi, You-Sung;Lee, Sang-Chull
    • Journal of the Korean Association of Oral and Maxillofacial Surgeons
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    • v.27 no.2
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    • pp.103-110
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    • 2001
  • This study was performed to observe the effect of ultrasound(1.0MHz, $0.75W/cm^2\;and\;1.0W/cm^2$) irradiation on cultured MC3T3-E1 cell, osteoblastic like cell with respect to the proliferation, protein synthesis, and alkaline phosphatase activity of the cells. The results were as follows: 1. The proliferation of MC3T3-E1 cells was increased on ultrasound irradiated group compared with control group. 2. The protein synthesis was not apparently increased on ultrasound irradiated group compared with control group. 3. The alkaline phosphatase activity level was not apparently increased on ultrasound irradiated group compared with control group. From the above results and other literatures, we could suggest that the ultrasound with the appropriate intensity and frequency may have important roles in stimulation of cell proliferation. Therefore the ultrasound may be used in the acceleration of the bone regeneration and bone fracture healing.

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THE NORMING SET OF A SYMMETRIC n-LINEAR FORM ON THE PLANE WITH A ROTATED SUPREMUM NORM FOR n = 3, 4, 5

  • Sung Guen Kim
    • Communications of the Korean Mathematical Society
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    • v.39 no.3
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    • pp.693-715
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    • 2024
  • Let n ∈ ℕ, n ≥ 2. An element (x1, . . . , xn) ∈ En is called a norming point of T ∈ 𝓛(nE) if ||x1|| = ··· = ||xn|| = 1 and |T(x1, . . . , xn)| = ||T||, where 𝓛(nE) denotes the space of all continuous n-linear forms on E. For T ∈ 𝓛(nE), we define Norm(T) = {(x1, . . . , xn) ∈ En : (x1, . . . , xn) is a norming point of T}. Norm(T) is called the norming set of T. Let $0{\leq}{\theta}{\leq}{\frac{{\pi}}{4}}$ and ${\ell}^2_{{\infty},{\theta}}={\mathbb{R}}^2$ with the rotated supremum norm $${\parallel}(x,y){\parallel}_{({\infty},{\theta})}={\max}\{{\mid}x\;cos\;{\theta}+y\;sin\;{\theta}{\mid},\;{\mid}x\;sin\;{\theta}-y\;cos\;{\theta}|\}$$. In this paper, we characterize the norming set of T ∈ 𝓛(n2(∞,θ)). Using this result, we completely describe the norming set of T ∈ 𝓛s(n2(∞,θ)) for n = 3, 4, 5, where 𝓛s(n2(∞,θ)) denotes the space of all continuous symmetric n-linear forms on ℓ2(∞,θ). We generalizes the results from [9] for n = 3 and ${\theta}={\frac{{\pi}}{4}}$.

Wind Tunnel Test of Smart Un-manned Aerial Vehicle(SUAV) for TR-E2S1 Configuration (스마트 무인기 TR-E2S1 형상 풍동시험 결과)

  • Yoon SunEiun;Cho Tahwan;Chung Jindeog
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.29 no.3 s.234
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    • pp.295-305
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    • 2005
  • To improve the aerodynamic effciency of TR-E2, a new configuration so called TR-E2Sl was introduced. TR-2251 is composed of different wing airfoil section and T-tail shape compared with TR-E2. Wind tunnel test for TR-EBS1 had been performed by changing the incidence angles of wing and deflection angles of control surfaces such as elevator and rudder. Also the on/off effect of ventral fin attached underneath of AFT fuselage was tested. Test result showed that variations of wing incidence angle did not cause any severe differences in aerodynamic characteristics. Longitudinal and directional characteristics of TR-E2S1 show stable for the pitch and yaw motions. However, the lateral stability of TR-E2S1 is not stable for a certain control surface deflection.