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GENERALIZED BROWNIAN MOTIONS WITH APPLICATION TO FINANCE

  • Chung, Dong-Myung;Lee, Jeong-Hyun
    • Journal of the Korean Mathematical Society
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    • v.43 no.2
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    • pp.357-371
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    • 2006
  • Let $X\;=\;(X_t,\;t{\in}[0, T])$ be a generalized Brownian motion(gBm) determined by mean function a(t) and variance function b(t). Let $L^2({\mu})$ denote the Hilbert space of square integrable functionals of $X\;=\;(X_t - a(t),\; t {in} [0, T])$. In this paper we consider a class of nonlinear functionals of X of the form F(. + a) with $F{in}L^2({\mu})$ and discuss their analysis. Firstly, it is shown that such functionals do not enjoy, in general, the square integrability and Malliavin differentiability. Secondly, we establish regularity conditions on F for which F(.+ a) is in $L^2({\mu})$ and has its Malliavin derivative. Finally we apply these results to compute the price and the hedging portfolio of a contingent claim in our financial market model based on a gBm X.

Estimating Black Hole Mass in Active Galactic Nuclei with Hydrogen Brackett lines

  • Kim, Do-Hyeong;Im, Myeong-Sin
    • The Bulletin of The Korean Astronomical Society
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    • v.35 no.2
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    • pp.32.2-32.2
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    • 2010
  • Red dusty Active Galactic Nuclei (AGNs) are suspected to mid-stage between ULIRG and AGN phase. As well as, they are suspected that they have more than 50% of AGN population. To understand character of red AGN, Black Hole (BH) mass of red AGN is a key property and haven't measured by existing method such as reverberation mapping and single epoch method. So we still don't know their character and properties clearly. To estimate properties of red AGNs escape from effect of dust-obscuration, we have obtained Near InfraRed (NIR) spectra of 31 reverberation mapped AGNs and 49 Palomar-Green(PG) Quasi-Stellar Object (QSO) using the infrared camera (IRC) for AKARI with unique wavelength range 2.5-$5.0{\mu}m$. From this spectra, we measured the FWHM and luminosity of brackett ${\alpha}$, ${\beta}$ at 4.0, 2.6 micron meter for deriving new BH mass estimators based on the properties of Brackett line emission.

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The Flatness Property of Local-cubically Hyponormal Weighted Shifts

  • Baek, Seunghwan;Do, Hyunjin;Lee, Mi Ryeong;Li, Chunji
    • Kyungpook Mathematical Journal
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    • v.59 no.2
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    • pp.315-324
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    • 2019
  • In this note we introduce a local-cubically hyponormal weighted shift of order ${\theta}$ with $0{\leq}{\theta}{\leq}{\frac{\pi}{2}}$, which is a new notion between cubic hyponormality and quadratic hyponormality of operators. We discuss the property of flatness for local-cubically hyponormal weighted shifts.

A Safety Survey on Pesticide Residues in Dried Agricultural Products (건조농산물의 잔류농약 안전성 조사)

  • Lee, Hyo-Kyung;Oh, Moon-Seog;Jeong, Jin-A;Kim, Ki-Yu;Lee, Seong-Bong;Kim, Han-Taek;Kang, Hyang-Ri;Son, Ji-Hee;Lee, Yun-Mi;Lee, Mi-Kyoung;Lee, Byoung-Hoon;Kim, Ji-Won;Park, Yong-Bae
    • Journal of Food Hygiene and Safety
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    • v.34 no.4
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    • pp.340-347
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    • 2019
  • We performed a safety survey on residual pesticides in dried agricultural products. A total of 110 samples of dried agricultural products distributed in Gyeonggi-do were analyzed for 263 pesticides according to multi class pesiticide multiresidue method. Ten types of pesticides were detected in 10 samples. Chlorpyrifos was detected in Ricinus communis leaves, chlorpyrifos, hexaconazole, pyridalyl in Chwinamul (wild aster), diniconazole, isoprothiolane, lufenuron in radish leaves, hexaconazole in Cirsium setidens (Korean thistle), bifenthrin, and chlorothalonil, boscalid, and pyraclostrobin in pepper leaves. The detection rate of pesticides was 9.1%, and among these samples, one was detected over Maximum Residue Limits (MRLs). In the validation study, the values of limit of detection (LOD), limit of quantitation (LOQ), coefficient of determination ($R^2$) and recovery were in the range of 0.002~0.027 mg/kg, 0.006~0.083 mg/kg, 0.9964~1.0000 and 74.8~118.9%, respectively. The Positive List System (PLS) was newly introduced as part of the safety management of residual pesticide in agricultural products in Korea in 2019. With the application of the PLS, if the MRL is not established, 0.01 mg/kg limit is applied uniformly. In spite, these of strengthened residue limits, the MRLs of dried agricultural products are still insufficient. Therefore, this study could be utilized as basic data for the setting of proper MRLs.

Monitoring of optimal conditions for producing fermented black soybeans rich in sulfur-containing amino acids

  • Sung Ran Yoon;Jin Ju Lee;Jungmin Park;Jung A Ryu;Ju-Ock Nam;Min Sook Kang;Sun Hwa Kim;Yong Jin Jeong
    • Food Science and Preservation
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    • v.30 no.6
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    • pp.905-917
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    • 2023
  • The optimal fermentation conditions for producing fermented black soybeans rich in sulfur-containing amino acids were investigated. Response surface methodology monitored fermentation conditions. A central composite design examined the effect of independent variables: enzyme concentration (X1) and fermentation time (X2) on yield and methionine content. Both factors significantly influenced these dependent variables. Enzyme concentration more profoundly affected amino nitrogen content than fermentation time. β-Glucan content and cystine level were primarily affected by fermentation time. We elicited each variable's regression formula and identified optimal fermentation conditions for functional compounds. The predicted optimum conditions were an enzyme concentration of 0.28-0.32% and a fermentation time of 58.0-62.0 min. Under these optimal conditions, each black soybean variety's sulfur amino acid content ranged from 818.62 to 922.62 mg/100 g, demonstrating significant variety differences.

JORDAN DERIVATIONS ON SEMIPRIME RINGS AND THEIR RADICAL RANGE IN BANACH ALGEBRAS

  • Kim, Byung Do
    • Journal of the Chungcheong Mathematical Society
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    • v.31 no.1
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    • pp.1-12
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    • 2018
  • Let R be a 3!-torsion free noncommutative semiprime ring, and suppose there exists a Jordan derivation $D:R{\rightarrow}R$ such that $D^2(x)[D(x),x]=0$ or $[D(x),x]D^2(x)=0$ for all $x{\in}R$. In this case we have $f(x)^5=0$ for all $x{\in}R$. Let A be a noncommutative Banach algebra. Suppose there exists a continuous linear Jordan derivation $D:A{\rightarrow}A$ such that $D^2(x)[D(x),x]{\in}rad(A)$ or $[D(x),x]D^2(x){\in}rad(A)$ for all $x{\in}A$. In this case, we show that $D(A){\subseteq}rad(A)$.

Seasonal Bycatch Variations in the Shrimp Beam Trawl Fishery of Coastal Wan-do, Korea (완도 해역의 새우조망어업에서 발생한 부수어획물의 계절적 변동)

  • Oh, Chul-Woong
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.43 no.1
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    • pp.69-77
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    • 2010
  • We examined shrimp and bycatch species composition in the shrimp beam trawl fishery off Wan-do, Korea(in the major or fishing ground)from December 2004 to November 2005. We observed a total of 103, 072 individuals in 96 taxa. By densities of individuals, 96.97% were shrimps, 1.20% decapods, 1.10% fish, 0.30% cephalopods and 0.43% other species. By catch weight, 57.29% were shrimps, 26.33% fish, 6.82% decapods, 4.64% cephalopods and 4.92% other species. In spring, the dominant bycatch species by biomass were Okamejei kenojei, Lophiomus setigerus, and Charybdis bimaculata. In summer, the dominant species were Charybdis bimaculata, Muraenesox cinereus, and Paralichlhys olivaceus. In autumn, dominants were Okamejei kenojei, Conger myriasler, and Sefipinna tenuifilis, and in winter they were Okamjei kenojei, Chaeturichthys stigmatias, and Sillago japonica. Bycatch species composition and individual species abundances differed significantly among seasons, probably indicating that variations were related to the life history characteristics of bycatch species. The diversity index was highest in October (2.797) and lowest in July (1.012). The July dominance index (0.569) was much higher than in other months; evenness was highest in September (0.856) and lowest in July (0.374). During the study period, the bycatch-to-shrimp ratio of this fishery varied from 0.063 in February 2005 to 11.031 in May 2005, with a mean of 3.363 These temporal variations may be linked 10 variations in reproductive behaviors and migration patterns of the marine animals sampled.

Disease examination of slaughter pigs from Southern Gyeonggi-do (도축병변을 통한 돼지의 질병감염 조사)

  • Woo, Jong-Tae;Cheong, Yeon-Hee;Kim, Min-Kyoung;Ku, Kyung-Nyer
    • Korean Journal of Veterinary Service
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    • v.33 no.1
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    • pp.67-74
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    • 2010
  • To reduce an economic loss by swine disease, this study was designed to provide helpful data which are particularly useful for each individual farm. From february to December 2009, a total of 18,173 slaughter pigs (612 herds) were randomly sampled, which were produced just in southern region of Gyeonggi-do. We examined all of them for the slaughter lesions of 8 kind diseases such as swine enzootic pneumonia (SEP), pleuritis (PL), pleuropneumonia (PP), white milk spot in liver (WMS), papular dermitis (PD), pericarditis (PC), ileitis (IL) and peritonitis (PT). Twenty four percentages (4431/18173 pigs) of the examined pigs had no lesions about 8 kind diseases. Among the pigs with lesions, the numbers of the pigs with just one lesion were 7,637(42%), followed by 4,551(25%) pigs with 2 lesions. Average prevalence of pigs were 56.5% (10288/18173 pigs) in SEP, followed by 34% in PL, 12.4% in PP, 10.1% in WMS, 6.1% in PD, 4.7% in PC, 0.1% in IL and PT, respectively. Each prevalence of SEP, PL, PP and PD was higher in spring than in winter, respectively (P<0.01). Among the pigs (n=6,105) with 2 or more than 2 kinds of lesions the top (55.5%) was the pigs with SEP and PL, and the second was 1,179 (19.3%). Swine enzootic pneumonia was considered as one of the more likely risk factors for initiation or/and acceleration of other diseases such as PL, PP, WMS and PD. The lesion of SEP was relatively severe since the pigs with late stage were more (7,277 pigs) than those with early stage.

Detection of planetary signals in extremely weak central perturbation microlensing events via next-generation ground-based surveys

  • Chung, Sun-Ju;Lee, Chung-Uk
    • The Bulletin of The Korean Astronomical Society
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    • v.38 no.2
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    • pp.72.1-72.1
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    • 2013
  • Even though current microlensing follow-up observations focus on high-magnification events due to the high efficiency of planet detection, it is very difficult to do a confident detection of planets in high-magnification events with extremely weak central perturbations (i.e., the fractional deviation is ${\delta}{\leq}0.02$). For the confident detection of planets in the extremely weak central perturbation events, it is needed both the high cadence monitoring and the high photometric accuracy. A next-generation ground-based observation project, KMTNet (Korea Microlensing Telescope Network), satisfies both the conditions. Here we investigate how well planets in high-magnification events with extremely weak central perturbations are detected by KMTNet. First, we determine the probability of occurrence of events with ${\delta}{\leq}0.02$. From this, we find that for ${\leq}100M_E$ planets in the separation of $0.2AU{\leq}d{\leq}20AU$, events with ${\delta}{\leq}0.02$ occur with a frequency of more than 70%, in which d is the projected planet-star separation. Second, we estimate the efficiency of detecting planetary signals in the events with ${\delta}{\leq}0.02$ via KMTNet. We find that for main-sequence and subgiant source stars, ${\geq}1M_E$ planets can be detected more than 50% in a certain range that has the efficiency of ${\geq}10%$ and changes with the planet mass.

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Risk assessment for water quality of a river using QUAL2E model (QUAL2E 모형을 이용한 하천수질의 위해성평가)

  • Kim, Jungwook;Kim, Yonsoo;Kang, Narae;Jung, Jaewon;Kim, Soojun;Noh, Huiseong;Kim, Hung Soo
    • Journal of Wetlands Research
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    • v.16 no.3
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    • pp.441-450
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    • 2014
  • In this study, we consider ability of self-purification for a rational water quality management. And we assess the risk of Alkyl Benzene Sulfonic acid sodium salt(ABS) of harmful ingredients in Anseong Cheon watershed using QUAL2E model. The observations and simulated results were fitted well for BOD and ABS, but even though the trend of DO concentration change was well represented, the error between observation and simulation values was existed. We assessed the Risk assessment by calculating Risk quotient(RQ) by Predicted Exposure Concentration(PEC) and Predicted No-Effect Concentration(PNEC). Results of the impact of ABS on the self-purification of the river were Anseongcheon[0.0003(Bressan), 0.06(Criteria of Ministry of environment)], Jinwicheon[0.0002(Bressan), 0.04(Criteria of Ministry of environment). And result of the impact of ABS on the Aquatic ecosystem of the river were Anseongcheon[0.0667(Bressan), 0.005(Criteria of Ministry of environment)], Jinwicheon[0.1(Bressan), 0.0075(Criteria of Ministry of environment). All of these results were smaller than the 1.0 which is the reference value suggested by Norification No.30 of the National Institute of Environment Research. So, ABS did not affect a self-purification and aquatic ecosystem of the river. The method suggested in the study is a simple one and can provide more information for harmful ingredients than criteria of Ministry of environment.