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MAX-MIN CONTROLLABILITY OF DELAY-DIFFERENTIAL GAMES IN HILBERT SPACES

  • Kang, Yong-Han;Jeong, Jin-Mun;Park, Jong-Yeoul
    • Journal of the Korean Mathematical Society
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    • v.38 no.1
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    • pp.177-191
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    • 2001
  • We consider a linear differential game described by the delay-differential equation in a Hilbert space H; (※Equations, See Full-text) U and V are Hilbert spaces, and B(t) and C(t) are families of bounded operators on U and V to H, respectively. A(sub)0 generates an analytic semigroup T(t) = e(sup)tA(sub)0 in H. The control variables g, and u and v are supposed to be restricted in the norm bounded sets (※Equations, See Full-text). For given x(sup)0 ∈ H and a given time t > 0, we study $\xi$-approximate controllability to determine x($.$) for a given g and v($.$) such that the corresponding solution x(t) satisfies ∥x(t) - x(sup)0∥ $\leq$ $\xi$($\xi$ > 0 : a given error).

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Effects of Short-term Immobilization Stress on the Mouse Serum Concentrations of Cortisol and Dehydroepiandrosterone Sulphate (단기 속박스트레스가 마우스 혈청 Cortisol, Dehydroepiandrosterone Sulphate 농도에 미치는 영향)

  • 차정호;최광수;최형송
    • Korean Journal of Animal Reproduction
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    • v.24 no.1
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    • pp.115-120
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    • 2000
  • We have investigated the effect of short-term immobilization stress on the serum concentrations of cortisol and DHEAS in BALB/c male mice. Serum cortisol and DHEAS concentrations were measured by radioimmunoassay(RIA). We found there were significantly increased in the cortisol levels in 30 min-stressed group(Ⅰ-30N) compared with control(C) group (p<0.01), and also increased with significance in 120 min-stressed group(I-120N) compared with C group(p<0.01). Cortisol concentrations were significantly increased in both 30 min-stressed group(Ⅰ-30T), and 120 min-stressed group(Ⅰ-120T) compared with C group(p<0.01). The sustained increase of cortisol levels were observed in both SG treated and SG non-treated group. Serum cortisol levels were lower in SG treated group than SG non-treated group with significance(p<0.01). By contrast, DHEAS levels were slightly decreased without significance in Ⅰ-30N, but significantly decreased in Ⅰ-120N compared with C group(p<0.01). There were slightly decreased in the DHEAS levels in Ⅰ-30T, but significantly decreased in Ⅰ-120T compared with C group(p<0.01). However, SG treatment did not induce any significant changes of DHEAS levels in both 30 min and 120 min-stressed group. Though short-term immobilization stress, the continuous decline of DHEAS levels were observed. Therefore, these results show that short-term immobilization stress affects the serum concentrations of cortisol and DHEAS in mice.

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A Comparative Analysis of GBEF According to Image Aquisition Method in Hepatobiliary Scan (간담도스캔의 영상수집방법에 따른 담즙배출율의 비교분석)

  • Kim, Yeong-Seon;Seo, Myeong-Deok;Lee, Wan-Kyu;Song, Jae-Beom
    • The Korean Journal of Nuclear Medicine Technology
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    • v.18 no.2
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    • pp.8-16
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    • 2014
  • Purpose The quantitative analysis of gallbladder emptying is very important in diagnosis of motility disorder of gallbladder and in biliary physiology. The GBEF obtain the statics aquisition method or the dynamic acquisition method in two ways. The purpose of this study is to compare the GBEF value of statics acquisition method and the dynamic acquisition method. And we find the best way for calculate GBEF. Materials and Methods The quantitative hepatobiliary scan with $^{99m}Tc$-mebrofenin was performed of 27 patients. Initial images were acquired statically, for 60 min after injection of the radioactive tracer. And if the gallbladder is visualized to 60 min, performed stimulation of gallbladder (1egg, 200 mL milk). After that, started acquisition of dynamic image for 30 min. After that, image of after fatty meal of the statics method were acquired on equal terms with 60 min image. The statics GBEF was calculated using the images of before fatty meal and post fatty meal by the statics method. The dynamic GBEF was calculated using the images of time of maximum bile juice uptake ($T_{max}$) and time of minimum bile juice uptake ($T_{min}$) images from the gallbladder time-activity curve. A bile juice is secreted from gallbladder while eating a fatty meal. that is named early GBEF and that was calculated using before fatty meal image of the statics method and 1 min image of the dynamic method. Results The result saw very big difference between two according to $T_{max}$. The result, were as follows. 1) In case of less than 1 min, the dynamic mean GBEF was $40.1{\pm}21.7%$, the statics mean GBEF was $51.5{\pm}23.6%$ in 16 cases. The early mean GBEF was $14.0{\pm}29.1%$. The GBEF of statics method was higher because that include secreted bile juice while performed stimulation of gallbladder. A difference of GB counts according to acquisition method and the early bile juice counts was $17.6{\pm}14.8%$ and $13.5{\pm}15.3%$. 2) In case of exceed than 1 min, the dynamic mean GBEF was $31.0{\pm}19.7%$, the statics mean GBEF was $21.3{\pm}19.4%$ in 7 cases. The early GBEF was $-6.9{\pm}4.9%$. The GBEF of dynamic method was higher because that include concentrated bile juice to $T_{max}$. A difference of GB counts according to acquisition method and the early bile juice counts was $14.3{\pm}7.3%$ and $5.9{\pm}3.9%$. Conclusion The statics method is very easy and simple, but in case of $T_{max}$ delay, the GBEF can be lower. The dynamic method is able to calculate accurately in case of $T_{max}$ delay, but in case of $T_{max}$ is less than 1 min, the GBEF can be lower because dynamic GBEF exclude secreted bile juice while performed stimulation of gallbladder. The best way to calculate GBEF is to scan with dynamic method preferentially and to choose suitable method between the two way after conform $T_{max}$ on the T-A curve of the dynamic method.

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A Marriage Problem Algorithm Based on Duplicated Sum of Inter-Preference Moving Method (중복된 최소 상호-호감도 합 이동방법을 적용한 결혼문제 알고리즘)

  • Lee, Sang-Un
    • Journal of the Korea Society of Computer and Information
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    • v.20 no.5
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    • pp.107-112
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    • 2015
  • This paper proposes a simplified algorithm devised to obtain optimal solution to the marriage problem. In solving this problem, the most widely resorted to is the Gale-Shapley algorithm with the time complexity of $O({\mid}V{\mid}^2{\mid}E{\mid})$. The proposed algorithm on the other hand firstly constructs a $p_{ij}$ matrix of inter-preference sum both sexes' preference over the opposite sex. Secondly, it selects $_{min}p_i$ from each row to establish ${\mid}p_{.j}{\mid}{\geq}2,j{\in}S$, ${\mid}p_{.j}{\mid}=1$, $j{\in}H$, ${\mid}p_{.j}{\mid}=0$, $j{\in}T$. Finally, it shifts $_{min}\{_{min}p_{ST},p_{SH}+p_{HT\}$ for $_{min}P_{ST}$ of $S{\rightarrow}T$ and $p_{SH}+p_{HT}$, $p_{HT}<_{min}p_{ST}$ of $S{\rightarrow}H$, $H{\rightarrow}T$. The proposed algorithm has not only improved the Gale-Shapley's algorithm's complexity of $O({\mid}V{\mid}^2{\mid}E{\mid})$ to $O({\mid}V{\mid}^2)$ but also proved its extendable use on unbalanced marriage problems.

Quantitative Analysis of Normal Salivary Gland Function using Salivary Scintigraphy (타액선 신티그라피를 이용한 정상 타액선기능의 정량분석)

  • Kim, Hui-Jin;Ko, Myung-Yun;Park, June-Sang
    • Journal of Oral Medicine and Pain
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    • v.25 no.4
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    • pp.345-353
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    • 2000
  • This study was to investigate normal salivary flow rates and normal indices of Quantitative analysis of salivary scintigraphy. 96 adult volunteers were studied by Questionnaire evaluating salivary conditions and clinical examinations. 35(male 23, female 12, age range 23-31years) that absented subjective and objective symptoms related saliva were classified as normal group. The normal group underwent measurement unstimulated and stimulated salivary flow rates and salivary scintigraphy. The obtained results were as follows: 1. There were not significant in sex differences of unstimulated and stimulated salivary flow rates. The unstimulated salivary flow rate was $0.66{\pm}0.41g/min$, stimulated salivary flow rates was $1.61{\pm}0.69g/min$. 2. As comparing of parameters of salivary scintigraphy, the Uptake ratio(UR), $T_{max}$, $T_{min}$, Maximum accumulation (MA), Maximum secretion(MS) of parotid and submandibular glands were not significant in sex and side-ralated differences. 3. The UR, $T_{max}$, MA, MS of parotid gland were significantly higher than those of submandibular gland; in the parotid gland, UR, $3.67{\pm}0.88$, $T_{max}$, $18.77{\pm}0.43min$, MA, $41.35{\pm}9.22%$, MS, $43.13{\pm}9.13%$; in the submandibular gland, UR, $3.04{\pm}0.10$, $T_{max}$, $18.48{\pm}0.52min$, MA, $36.47{\pm}14.18%$, MS, $36.88{\pm}12.20%$. 4. As classifying of time-activity curve, the most of parotid gland was N-type(97.1%), submandibular gland was observed in order of M-type(67.1%), N-type(21.4%), F-type(11.4%), however, was not observed S-type. 5. As the type of time-activity curve of submandibular gland was more flattened, the UR, $T_{max}$, MA, MS were significantly decresed.

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Characteristics of Flame Hardening Process for 12Cr Steels (12Cr 강의 이동 화염경화 공정 특성)

  • Kim Gwang-Ho;Lee Min-Ku;Kim Kyeong-Ho;Kim Whung-Whoe;Rhee Chang-Kyu;Kim Gil-Mu
    • Journal of the Korean institute of surface engineering
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    • v.39 no.2
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    • pp.49-56
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    • 2006
  • In this study, the movable flame hardening process of 12Cr steel for a uniform hardness and desirable residual stress have been investigated. For this, the temperature cycles have been controlled accurately as a function of the three processing variables, the flame intensity $I_f$, the scanning velocity $V_s$, and the initial flame holding time $t_h$, where the standard surface temperature $T_{s,\;max}$, was maintained at $960^{\circ}C$. The optimized conditions were $V_s=0.68mn/s\;and\;t_h=67sec$ for the $C_3H_8:O_2\;=\;5:20l/min,\;V_s=0.80mm/s$ and $t_h=56sec$ for the $C_3H_8:O_2=6:24l/min,\;V_s=1.01mm/s\;and\;t_h=48sec$ for the $C_3H_8:O_2=7:28l/min,\;and\;V_s=1.15mm/s$ and $t_h=39sec$ for the $C_3H_8:O_2$=8:32 l/min. The optimally flame-hardened surface exhibited uniform distributions of the hardness and residual compressive stress over the treated area with moderate levels of $470{\sim}490HV_{0.2}$in hardness and $-300{\sim}-450MPa$ in residual stress, which were acceptable on the basis of the acceptance criteria of Siemens AG-KWU and GE Power Generation Engineering.

The Quality Characteristics of Ready-to-Eat Empal Gentong Affected by Meat Pre-Cooking

  • Triyannanto, Endy;Febrisiantosa, Andi;Kusumaningrum, Annisa;Amri, Aldicky Faizal;Fauziah, Safna;Sulistyono, Eki Prilla;Dewandaru, Bayu Murti;Nurhikmat, Asep;Susanto, Agus
    • Food Science of Animal Resources
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    • v.42 no.4
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    • pp.557-565
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    • 2022
  • The purpose of this research was to examine the effectiveness of pre-cooking treatments on the quality characteristics of ready-to-eat (RTE) empal gentong. Raw beef meat was pre-cooked in water bath at 90℃ for 0 min (C), 10 min (T1), 20 min (T2), and 30 min (T3) prior to retorting process at 121℃ and pressure at 70,000 Pa. Results showed that pre-cooking treatments in all treated samples could reduce fat contents in empal gentong's meat by 0.02% (T1), 0.28% (T2), and 1.13% (T3) respectively. Highest precooking time tends to increase the pH and CIE a* values. However, CIE b* values, water holding capacity, and sensory analysis were not affected by pre-cooking duration which must have been affected by sterilization process after pre-cooking. In conclusion, pre-cooking treatment before sterilization in producing empal gentong is a probable technique to reduce its fat content and improve its physical quality. A specific treatment at 90℃ for 10 min is recommended to achieve optimum quality of RTE empal gentong's meat.

Poor Fibrinolytic Response on a Single Bout Exercise Intensity and Time in Male Chronic Ischemic Stroke Patient (남성 만성기 허혈성 뇌졸중환자의 운동강도 및 시간에 대한 Poor Fibrinolytic Response)

  • Kang, Dong-Yeon;Lee, Hye-Young;Kim, Kyoung
    • The Journal of Korean Physical Therapy
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    • v.25 no.4
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    • pp.224-231
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    • 2013
  • Purpose: The purpose of this case study was to investigate three poor fibrinolytic responders with chronic ischemic stroke to acute exercise intensity and time. Methods: Three ischemic stroke patients (male) from the stroke center located at Busan metropolitan area in Republic of Korea volunteered at this study. They performed two single session exercises that were a VO2peak test and a single bout treadmill walking (70-75%HRpeak, 30 min, 50min). Fasting blood samples for determination of tissue Plasminogen Activator (tPA) and Plasminogen Activator Inhibitor-1 (PAI-1) were obtained before, immediately after, 30min after acute exercise. SPSS 12.0 was used for analyzing of data and computing mean and standard deviation, and change rate was conducted between times. Results: In fibrinolytic activity according to the intensity and time of acute exercise, tPA change increased steadily during the recovery stage after the VO2peak in the cases, but PAI-1 activity showed different patterns among the cases. In a single bout treadmill walking (70-75%HRpeak, 30 min, 50min), tPA change increased between 30min and 50min. Conclusion: In conclusion, these results suggest that the exercise prescription for poor fibrinolytic responder with three male chronic ischemic stroke patients without motor disability recommend at 70-75%HRpeak, over 30min.