• Title/Summary/Keyword: $It\^{o}'s$ formula

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UNIFORM Lp-CONTINUITY OF THE SOLUTION OF STOCHASTIC DIFFERENTIAL EQUATIONS

  • Kim, Young-Ho
    • Journal of applied mathematics & informatics
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    • v.31 no.3_4
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    • pp.491-498
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    • 2013
  • This note is concerned with the uniform $L^p$-continuity of solution for the stochastic differential equations under Lipschitz condition and linear growth condition. Furthermore, uniform $L^p$-continuity of the solution for the stochastic functional differential equation is given.

Predictive Model Selection of Disinfection by-products (DBPs) in D Water Treatment Plant (D 정수장 소독부산물 예측모델 선정)

  • Kim, Sung-Joon;Lee, Hyeong-Won;Hwang, Jeong-Seok;Won, Chan-Hee
    • Journal of Korean Society on Water Environment
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    • v.26 no.3
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    • pp.460-467
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    • 2010
  • For D-WTP's sedimentation basin and distribution reservoir, and water tap the predictive models proposed tentatively herein included the models for estimating TTHM concentration in precipitated water, for treated water and for tap water, and the estimated correlation formula between treated water's TTHM concentration and tap water. As for TTHM-concentration predictive model in sedimentation water, the coefficient of determination is 0.866 for best-fitted short-term $DOC{\times}UV_{254}$ based Model (TTHM). As for $HAA_5$-concentration predictive model in sedimentation water, the coefficient of determination is 0.947 for the suitable $UV_{254}$-based model ($HAA_5$). In case of the predictive model in treated water, the coefficient of determination is 0.980 for best-fitted $DOC{\times}UV_{254}$ based model (TTHM) using coagulated waters, while the coefficient of determination is 0.983 for best-fitted $DOC{\times}UV_{254}$ based model ($HAA_5$) using coagulated waters, which described the $HAA_5$ concentration well. However, the predictive model for tap water could not be compatible with the one for treated water, only except for possibility inducing correlation formula for prediction, [i.e., the correlation formula between TTHM concentration and tap water was verified as TTHM (tap water) = $1.162{\times}TTHM$ (treated water), while $HAA_5$ (tap water) = $0.965{\times}HAA_5$ (treated water).] The correlation analysis between DOC and $KMnO_4$ consumption by process resulted in higher relationship with filtrated water, showing that its regression is $DOC=0.669{\times}KMnO_4$ consumption - 0.166 with 0.689 of determination coefficient. By substituting it to the existing DOC-based model ($HAA_5$) for treated water, the consequential model formula was made as follows; $HAA_5=8.35(KMnO_4\;consumption{\times}0.669-0.166)^{0.701}(Cl_2)^{0.577}t^{0.150}0.9216^{(pH-7.5)}1.022^{(Temp-20^{\circ}C)}$

Charicteristics of PZT-PMNS using for piezoelectric element of AE sensor (AE센서의 압전소자에 이용할 PZT-PMNS 특성)

  • Kwon, O.D.;Yoo, J.S.;Yoon, Y.J.;Kang, S.H.;Lim, K.J.
    • Proceedings of the KIEE Conference
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    • 2004.07c
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    • pp.1612-1614
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    • 2004
  • The piezoelectric ceramics for AE-sensor are desired large electromechanical coupling factor, high mechanical quality factor and good characteristic resonance frequency. In this study, the empirical formula of specimens is used 0.9Pb$(Zr_xTi_{1-x})O_3-0.1Pb(Mn_{1/3}Nb_{1/3}Sb_{1/3})O_3$ (PZT-PMNS). The piezoelectric and dielectric characteristic are investigated by sintering temperature and value of x as functions of $Ti^{2+},\;Zi^{2+}$ moi rate. MPB(morphotropic phase boundary) is defned in the x=0.522. Because it is appeared to the best piezoelectric and dielectric characteristic in the x=0.522, it can be application of AE sensor. PZT-PMNS ceramics without pre-amplifier and filter are tested for AE-signal of PD and arc detecting. The detection characteristic is evaluated wave form, frequency distribution.

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Characteristics of detecting arc of AE sensor for using PZT ceramics (PZT 세라믹을 이용한 AE센서의 아크 검출 특성)

  • Yoo, J.S.;Kwon, O.D.;Yun, Y.J.;Kang, S.H.;Lim, K.J.
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2004.07a
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    • pp.515-518
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    • 2004
  • The Piezoelectric ceramics for AE(Acoustic Emission) sensor are desired large electromechanical coupling factor, high mechanical quality factor and good characteristic resonance frequency. In this study, the empirical formula of specimens is used $0.9Pb(Zr_xTi_{1-x})O_3-0.1Pb(Mn_{1/3}Nb_{1/3}Sb_{1/3})O_3$ (PZT-PMNS). The piezoelectric and dielectric characteristic are investigated by sintering temperature and value of x as functions of $Ti^{2+},\;Zi^{2+}$ mol rate. MPB(morphotropic Phase boundary) is defined in the x=0.522. Because it is appeared to the best piezoelectric and dielectric characteristic in the x=0.522, it can be application by AE sensor. PZT-PMNS ceramics without pre-amplifier and filter are tested for detecting of arc signal. The detection characteristic is evaluated wave form, frequency distribution.

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Potential Pathogen Monitoring of Powdered Infant Formula Milk and Related Products in Korea (국내산 조제유류에서의 위해 미생물 모니터링)

  • Kim, Young-Jo;Moon, Jin-San;Park, Hyun-Jung;Heo, Eun-Jeong;Kim, Ji-Ho;Lee, Hee-Soo;Wee, Sung-Hwan
    • Journal of Food Hygiene and Safety
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    • v.25 no.4
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    • pp.341-345
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    • 2010
  • Three-hundred samples of powdered infant formula milk and related products from four different manufacturers in 2010 were collected and surveyed their contaminations for aerobic bacteria, coliform, Enterobacter(Cronobacter) sakazakii, and food-borne pathogens. Fifteen samples of sterilized infant formula milk were all negative on these microorganisms. In all collected products of un sterilized infant formulas and follow-on infant formulas, aerobic bacteria were detected at 239 (83.9%) among 285 samples, and they all were found below $10^3$ cfu/g. Coliform bacteria were also detected at four among 285 samples. Salmonella spp. and Ent. sakazakii, weren't detected at the all samples. Bacillus cereus was detected at 24 (8.4%) among 285 samples. The level of B. cereus was below 100 cfu/g but it was suitable for the range of specification of B. cereus in infant formulas. Clostridium perjringens, Escherichia coli O157:H7, Staphylococcus aureus and Listeria monocytogenes weren't also detected. In consequence, it was suitable for total viable count, coliform and potential pathogen to the specification of infant formulas and related products.

Identification of Shikonin and Its Derivatives from Lithospermum erythrorhizon (야생 및 재배 지치뿌리의 Shikonin 화합물 확인)

  • Kim, Jin-Sook;Han, Young-Sil;Kang, Myung-Hwa
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.35 no.2
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    • pp.177-181
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    • 2006
  • In this study, phytochemicals from the wold and cultivated Lithospermum erythrorhizon (gromwell), which has been used for medicinal purpose or natural coloring material from the old days, were extracted by methanol and fractionated with hexane. The shikonin compounds in the fraction was isolated and their chemical structures were identified by $^1H$ and $^{13}C-NMR$. It was found that compound I was the shikonin substance with molecular weight of 288.3 and chemical formula of $C_{16}H_{16}O_5$, and compound II being deoxyshikonin substance with molecular weight of 272.3 and chemical formula of $C_{16}H_{16}O_4$. The Quantities of these compounds in the wild and cultivated gromwells was determined.

A Study on the Basic Pattern Drafting Method Development of Men's J$\breve{o}$-go-ri -Collar Construction (2)- (남자저고리 원형제도법 개발을 위한 연구(2) -깃구성을 중심으로-)

  • 정옥임
    • Journal of the Korean Home Economics Association
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    • v.37 no.7
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    • pp.17-27
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    • 1999
  • According to the design method for constructing the Korean Men's Jo-go-ri(the traditional Korean jacket)collar, there are differences in form after its completion. In the construction design of the midsection of the gusset as in that of the basic pattern Jo-go-ri, not only was the positioning of the two sides of the collar not smooth, but also, when the collar strip(Dongjung) was attached, there would be an imbalance on one side or the other so that it was difficult to achieve symmetry. Therefore in this project, by applying the pattern design of the gusset midsection to that of the collar midsection, not only did attaching the collar(Kit) and the collar strip create a visual effect by equalizing the lengths of the two sides, but the construction was also easy. This method of construction introduces the three-dimensional aspect of the human form in its conic, spherical and cylindrical aspects, so that, through schematizing the scientific character of Korea's clothing, its appropriateness is verified. As a matter of fact, since there is no standardization of pattern whether for educational use or for mass-produced clothing, so that even the patterns used in computer-assisted design are executed according to the designer's personal skill, the reality is that after completion of construction the quality has not been uniform. For this schematization, inverse calculation of measurements pertaining to the calculation formula and of teaching materials has been referenced. In particular, the partial regulation of the calculation formula pertaining to the basic pattern construction, the method of making the collar midsection, and the construction method of the extreme and mean ratio adjustment, can be adjusted for all measurements, thereby providing the establishment of a design criterion and the possibility of the standardization of construction methods. The production method for the basic pattern design is as follows: 1) The conic angle for the Jo-go-ri's girth, length end neck width is fixed at 70(72) degree. 2) The radius of the cone is sleeve length. 3) The bust girth calculation formula is B/4 + 2.5 cm. 4) The armhole formula is B/4 + 2.5cm. 5) The neck width formula is B/10. 6) The ratio of the collar junction{width of collar(Kit) + width of collar strip(Dongjung) to the gusset length is 5:8. 7) The length of the side seam is a length intersecting the armhole line and the conic radius of sleeve length, that is an arc that exceeds the length of the Jo-go-ri's midsection.

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Studies on the Rainfall Characteristics in Chungnam Region(I) Probable Rainfall Intensity in Short Duration in Daejeon Area (충남지방(忠南地方)의 강우특성(降雨特性)에 관(關)한 연구(硏究)(I) 대전지역(大田地域)의 단시간(短時間) 확률강우강도(確率降雨强度))

  • Ahn, Byoung Gi
    • Korean Journal of Agricultural Science
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    • v.8 no.1
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    • pp.82-89
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    • 1981
  • The characteristic of rainfall intensity in short duration is very important to calculate short-term runoff in small watershed by Rational method. Therefore, the purpose of this study is to derive the most proper formula on the probable rainfall intensity in each return period in Daejeon area. And the results of this study could be utilized for the design of drainage-structures in small watershed, drainage system in urban area and flood control in small river basin. The result s of this study are summerized as follows. 1. Gumbel-Chow method which shows the mean value was chosen to calculate the probable rainfall in tensity in each return periods. 2. According to statistical judgement, probable rainfall intensity formula of Japanese type($I={\frac{a}{t+b}}$, see Table-6) shows the most proper one among other types of formula like Talbot type, Sherman type and Characteristic coefficient method. Probable rainfall in tensity value of Japanese type in Daejeon area shows well coincidence with the one obtained by applying prof. Park's n-coefficient to Monobe formula $I=({\frac{R_{24}}{24}})({\frac{T}{t}})^{0.5486}$. On the other hand, the value by Monobe formula with n-coefficient of 2/3 which is being used as a disign criterison by M. O. C. shows large difference from the fore-mentioned results (see Table-7). Consequently the value by Monobe formula might be judged that it is too much overestimated one as a design criterion. 3. Short-term runoff in small water shed could be calculated more reasonably in Daejeon area through this probable rainfall in tensity formula.

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Studies on the Relation between Tree Injury and Acid Precipitation (수목피해와 산성강하물의 관련성에 관한 연구)

  • 이총규;김종갑;조현서
    • Korean Journal of Environment and Ecology
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    • v.12 no.2
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    • pp.131-137
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    • 1998
  • This study was performed to investigate tree injury with air pollution and acid precipitation in industrial area and rural area. This study analyzed the ion properties of pollutant precipitated in the forest of Ulsan & Onsan area and correlation between S $O_2$concentration in air and the degree of forest decline. pH of industrial area was lower than that of rural area and electrical conductivity and pH had a negative correlation(r=-.7861$^{**}$). Correlation of cation and anion(especially S $O_{4}$$^{2-}$, N $O_{3}$$^{[-10]}$ ) in precipitation and S $O_2$in air was higher in industrial area. In seasonal change, winter and spring were higher. In the analysis of correlation between forest decline and variables of precipitation properties, correlation coefficient was higher by following order: S $O_{4}$$^{2-}$>pH>EC>N $O_{3}$$^{[-10]}$ >S $O_{2}$$^{2-}$>C $l^{[-10]}$ . Regression formula by computation was Y = 5.1007-0.7811 $X_2$(pH) +0.0253 $X_{5}$ (S $O_{4}$$^{2-}$) +0.0275 $X_{6}$ (N $O_{3}$$^{[-10]}$ ). In considering the result of this study, it was predicted that air pollution and acid rain would affect soil acidification and forest decline continuously.y.

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A Molecular Study of Sopungsungi-won(Shufengshunqiyuan) about Regulation of PPARs in Mouse NMu2Li Liver Cells and C2C12 Skeletal Muscle Myogenic Progenital Cells (소풍순기원(疏風順氣元)이 mouse의 NMu2Li 간세포와 C2C12 골격근세포에서 PPARs 조절의 분자기전에 미치는 영향)

  • Oh, Young-Jin;Shin, Soon-Shik;Yoon, Mi-Chung;Kim, Bo-Kyung
    • Journal of Oriental Neuropsychiatry
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    • v.20 no.1
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    • pp.147-164
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    • 2009
  • Objectives : We investigated the effects of Sopungsungi-won(Shu!engshunqiyuan) (SSEx1, SSEx2) to treat the metabolic syndrome by the molecular mechanism of regulation of PPAR and modulation of mitochondrial MCAD, VLCAD mRNA expression. Methods : Mouse NMu2Li liver cells and C2C12 skeletal muscle myogenic progenital cells were transiently transfected with expression plasmids for PPAR(PPAR${\alpha}$, PPAR${\delta}$), a luciferase reporter gene construct containing 3 copies of the PPRE from the rat acyl-CoA oxidase gene and ${\beta}$-galactosidase gene. Cells were treated with several concentrated kinds of SSEx1, SSEx2 at the initial time of culture and analyzed PPAR${\alpha}$, PPAR${\delta}$ reporter gene activity using spectrophotometer (405 nm). Total RNA was extracted from SSEx1, SSEx2 and measured mRNA levels of mitochondrial MCAD, VLCAD. Representative RT-PCR bands are shown. Results : 1. SSEx1 increased the expression of PPAR${\alpha}$ reporter gene activities at 0.1 ${\mu}$g/ml (p${\mu}$g/ml (p<0.05), SSEx2 at 0.1 ${\mu}$g/ml (p${\mu}$g/ml (p<0.05) significantly in NMu2Li liver cell lines. 2. SSEx1 increased the expression of PPAR${\alpha}$ reporter gene activities at 1 ${\mu}$g/ml (p${\mu}$g/ml (p${\alpha}$ reporter gene activities in C2C12 skeletal muscle cells. 4. SSEx1 increased the modulation of mitochondrial MCAD mRNA expression (p<0.05) significantly in NMu2Li liver cell lines. 5. SSEx1, SSEx2 both increased the modulation of mitochondrial MCAD mRNA expression (p<0.05) significantly in C2C12 skeletal muscle cells. Conclusions : These results show the SSEx1, SSEx2 can be used as therapeutic agent for metabolic syndrome and it's molecular mechanisms of PPAR more contribute to the activation of PPAR${\alpha}$ then PPAR${\delta}$ reporter gene activities and it's total RNA more contribute to the modulation of mitochondrial MCAD then VLCAD mRNA expression.

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