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NUMERICAL METHODS FOR SOME NONLINEAR STOCHASTIC DIFFERENTIAL EQUATIONS

  • El-Borai, Mahmoud M.;El-Nadi, Khairia El-Said;Mostafa, Osama L.;Ahmed, Hamdy M.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제9권1호
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    • pp.79-90
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    • 2005
  • In this paper we study the numerical solutions of the stochastic differential equations of the form $$du(x,\;t)=f(x,\;t,\;u)dt\;+\;g(x,\;t,\;u)dW(t)\;+\;\sum\limits_{|q|\leq2m}\;A_q(x,\;t)D^qu(x,\;t)dt$$ where $0\;{\leq}\;t\;{\leq}\;T,\;x\;{\in}\;R^{\nu}$, ($R^{nu}$ is the $\nu$-dimensional Euclidean space). Here $u\;{\in}\;R^n$, W(t) is an n-dimensional Brownian motion, $$f\;:\;R^{n+\nu+1}\;{\rightarrow}\;R^n,\;g\;:\;R^{n+\nu+1}\;{\rightarrow}\;R^{n{\times}n},$$, and $$A_q\;:\;R^{\nu}\;{\times}\;[0,\;T]\;{\rightarrow}\;R^{n{\times}n}$$ where ($A_q,\;|\;q\;|{\leq}\;2m$) is a family of square matrices whose elements are sufficiently smooth functions on $R^{\nu}\;{\times}\;[0,\;T]\;and\;D^q\;=\;D^{q_1}_1_{\ldots}_{\ldots}D^{q_{\nu}}_{\nu},\;D_i\;=\;{\frac{\partial}{\partial_{x_i}}}$.

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Methyl Methanesulfonata에 의한 사람의 培養細胞 染色體에 미치는 Thymidine 相似體의 影響 (Effects of Thymidine Anologs on Methyl Methaesulfonate Induced Chromosome Aberrations in Human Lymphocytes in Vitro)

  • Kang, Yung-Sun;Park, Sang-Dai;Park, Kyung-Hee
    • 한국동물학회지
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    • 제19권2호
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    • pp.71-78
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    • 1976
  • 染色體의 構造的인 異常에 미치는 Methyl methanesulfonata (MMS)와 thymidine 相似體 (BUdR, IUdR)의 영향을 究明하기 위해 사람의 白血球 培養細胞에 2.0mM의 BUdR 또는 IUdR을 24時間 前 처리하고 이어 농도를 달리한 MMS $(0.0\\sim 2.0 mM)$를 1時間 처리한 뒤 24時間째 染色體標本을 작성하여 아래와 같은 결과를 얻었다. 1. MMS를 단독 처리한 對照區에서는 관찰된 染色體 異常型의 대부분이 예상외로 染色分體 異常型을 나타냈다. 2. BUdR 또는 IUdR의 단독처리도 染色體異常을 유발한다. 또한 MMS와 이중 처리한 경우에는 단독 처리보다 染色體異常型이 훨씬 증가한다. 따라서 thymidine 相似體는 MMS에 의한 染色體 異常型을 變化시켜주는 感受性物質로 作用함이 판명되었다.

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가평 사문암 지역의 토양 별 식물체내 희토류 원소 함량 차이: 억세, 쑥, 산딸기를 근거로 (Differences of Rare Earth Element Concentrations of Plants in Top Soils of Gapyeong Serpentine Area: Based on the M. sinensis, A. vulgaris and R. crataegitolius)

  • 송석환;신병철
    • 한국환경과학회지
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    • 제18권6호
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    • pp.621-632
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    • 2009
  • Rare earth contents(REE) were analysed for the plants, M. sinensis. A. vulgaris and R. crataegitolius, from two different soils serpentine area consisting of serpentinite(SP) and non-serpentine area, containing amphibole schist(AS) of Gapyeong area, and were compared with soils and host rocks. The AS were high with the differences of several times in the top soils, and with the differences of several to ten times in the host rocks relative to the SP. In the same area, the SP were high in the soil, but the rocks for the AS. In the plants, the A. vulgaris were high, but low in the R. crataegitolius. Root parts were higher than the upper parts. Differences between the upper and root parts were big in the SP rather than the AS, and were big in the R. crataegitolius, but small in the M. sinensis. Among the parts of the plants, high elements were shown in the R. crataegitolius of the SP, and the A. vulgaris and M. sinensis of the AS. In the correlation coefficients, most of the REE showed positive relationships among the element pairs, especially high positive correlation coefficients in the upper parts of the SP.Differences of the soils and plants(average) were smalle in the M. sinensis and big in the R. crataegitolius. In the upper parts. contents of the A. vulgaris were close to the soils while the R. crataegitolius showed large discrepancies with the soils. In the root parts, contents of the A. vulgaris showed discrepancies with the soils regardless of soil types, but close in the R. crataegitolius of the SP and M. sinensis of the AS.

Bacillus subtilis KMKW4를 이용한 백미 및 아마란스 발효물의 이화학적 특성 및 생리활성 (Physicochemical Characteristics and Biological Activities of Rice and Amaranth Fermented by Bacillus subtilis KMKW4)

  • 양수진;이래현;홍주헌
    • 한국식품영양과학회지
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    • 제44권4호
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    • pp.540-548
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    • 2015
  • 본 연구에서는 김치에서 분리한 Bacillus subtilis KMKW4를 이용하여 백미 및 아마란스를 영양원으로 발효하였으며 발효물의 배양 특성과 항산화 활성 및 생리활성을 조사하였다. 백미와 아마란스의 비율별로 제조한 발효물 중 아마란스 20%가 첨가된 R80의 생균수가 가장 높았고 pH 또한 낮아 발효가 잘 진행되었음을 확인하였다. 발효물의 amylase 활성을 측정한 결과 R100, R90, R80, R70 중 R80에서 48시간 배양 시 57.77 unit/mL로 가장 높아 R80을 곡류 효소 함유 제품 개발을 위한 혼합조건으로 선정하였다. 발효물의 동결건조분말에 대한 amylase 활성도 발효물과 동일하게 48시간에서 가장 높게 나타나 동결건조 후에도 효소 활성이 유지되는 것을 확인하였다. 발효물 동결건조분말의 유리당 함량은 발효 후 R80에서 maltose는 검출되지 않았으며, glucose는 5,454.2 mg/100 g으로 함량이 증가하였고 R100보다 높음을 확인하였다. 유리아미노산 함량은 R100의 경우 발효 전 664.9 mg/100 g에서 48시간 발효 후 834.2 mg/100 g으로 증가하였으며, R80은 발효 전 868.8 mg/100 g에서 발효 후 1,085.2 mg/100 g으로 증가하였다. 항산화 활성은 발효함에 따라 증가하였으며 R100보다 R80에서 우수하였다. ACE 저해 활성은 발효 전 R100과 R80에서 각각 30.12%와 40.22%로 나타났으며 발효 후에는 각각 59.13%와 78.57%로 나타나 발효가 진행됨에 따라 증가하는 경향을 보였고 R80이 R100보다 더 높은 ACE 저해 활성을 나타내었다. ${\alpha}$-Glucosidase 저해 활성은 모든 실험군에서 발효 전보다 발효 후에 높은 저해 활성을 나타내었으며, R100보다 R80이 우수하여 향후 곡류 효소 함유 식품 제조를 위한 소재로 활용 가능하다고 사료된다.

개의 Isosporosis에 관한 연구 I : Isospora ohioenis의 분리 및 포자형성 (Studies on isosporosis in dogs I: Isolation and sponllation of Isospora ohioensis)

  • 백병걸;김춘선
    • Parasites, Hosts and Diseases
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    • 제31권3호
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    • pp.201-206
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    • 1993
  • 한국산 개로부터 Isospornohioenis를 분리하기 위하여 형태학적 특성을 관찰하였던 바 다음과 같은 결과를 얻었다. 즉, 전북지방의 개의 분편에서 검출된 Isospora spp. 중 I. ohioensis의 oocyst 하나를 분리하여 강아지에 경구감염시켜 얻은 oocyst를 다시 5두의 개에 감염시킨 후 형태학적 특성을 현미경하에서 관제하였다. 이의 잠복기는 4일이었으며 분편내에 배출된 oocyst의 크기는 $22.9{\;}{\times}{\;}19.8{\;}\mu\textrm{m}$ (R = 1.16)이었고 sporont의 크기는 $17 4{\;}{\times}{\;}16.3{\;}\mu\textrm{m}$ (R = 1.06)이었다. 96시간에 있어서 포자가 완전히 형성되었으며 oocyst 및 sporocyst의 크기는 각각 $22.8{\;}{\times}{\;}20.5{\;}\mu\textrm{m}$ (R = 1.11)과 $15.0{\;}{\times}{\;}10.8{\;}\mu\textrm{m}$ (R = 1.39)이었다. 포자형성 후에 oocyst 및 sporocyst의 크기는 거의 변화가 없었던 점으로 보아 개의 분편검사를 통한 Isosporc속의 감별진단을 위하여 96시간 정도의 포자형성기문이 필요할 것으로 예상되는 바이다.

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Mycorrhiza 및 Rhizobium 접종이 알팔파에 의한 질소와 인의 이용성 및 성장에 미치는 영향 (Effects of Inoculation of Mycorrhiza and Rhizobium on N, p utilization and Vegetative Growth of Alfalfa (Medicago sativa L.))

  • 정우진;이복례;김길용;정순주;김태환
    • 한국초지조사료학회지
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    • 제20권4호
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    • pp.275-284
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    • 2000
  • To investigate the effect of Mycorrhiza (Glomus intradics) and Rhizobium inoculation on the N, P utilization and the growth of Alfalfa (Medicago sativa L.), four treatments (non-inoculation, control ; Mycorrhiza inoculation, M ; Rhizobiurn inoculation, R and Mycorrhiza and Rhizobium inoculation, M+R) were applied. The associated analyses were carried out on the early vegetative growth stage (DAS 56, 56 days after seeding) and on the early flowering stage (DAS 126). The decreased rate of total N and P content in soil, with advancing plant growth, was relatively higher in the mycorrhiza andor rhizobium treatments than control. The content of available phosphorus in soil at DAS 126 increased by about 40 % in M and M+R treatment compared to control (141.0 mg PzOg'kg DM), while non-significant changes was observed in R treatment. Total N uptake and P uptake in the control at DAS 126 were 33.91 mglplant and 2.42 mdplant, respectively, about 21, 50 and 51 % of increases in total N uptake and 30, 11 and 47 % of increases in total P uptake were estimated in M, R and M+R treatment. Comparing to control, dry matter yield significantly increased by 8, 27 and 28 %, and crude protein yield also by 21, 42 and 39 %, respectively, in M, R and M+R treatment. The present data indicated that mycorrhiza orland rhizobium inoculation improved N, P utilization, and consequently increased the yield of alfalfa. (Key words : Alfalfa, Mycorrhiza, Rhizobium, N and P Utilization, Growth, Yield)

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로테르담 규칙에서 FOB 계약의 매도인의 법적지위 문제 (Problems on the FOB Seller's Legal Status under the Rotterdam Rules)

  • 최명국
    • 무역상무연구
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    • 제65권
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    • pp.51-70
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    • 2015
  • The Rotterdam Rules are not phrased in favour of FOB seller's legal status. Whether it will be wise under the Rotterdam Rules to trade on the basis of cash against M/R largely depends on the interpretation of various provisions of the Rotterdam Rules. To protect his interests the M/R holder and his assigns must have a right of delivery of the cargo at the port of destination. The M/R holder and his assigns must be entitled to the bill of lading or at least be able to prevent the carrier from issuing the bill of lading to the shipper. Besides, any additional right of instruction on the part of the shipper must be blocked. Article 35 of the Rules entitles only the shipper to the bill of lading while 47 entitles only the holder of the bill of lading to delivery. When no bill of lading has been issued Article 45 grants to the shipper a right of instruction whereby the shipper is allowed to advise the carrier as to the name and the address of the consignee. I have suggested that by lack of a specific provision to the contrary the Rotterdam Rules have to be considered to be embedded in the system of law as a whole. From the Common Law it follows that a M/R holder, as owner of the cargo, can ask for delivery of the cargo. As owner of the cargo a M/R holder can also claim the bill of lading, if he does so in time, because it must be implied in the contract of carriage that the carrier must deliver the bill of lading to the owner of the goods. It is for the same reason that a M/R holder can prevent the carrier from issuing the bill of lading to any third party but the M/R holder and from taking instructions from the shipper as to name and address of a consignee other than the M/R holder.

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Association of Paraoxonase-1(Q192R and L55M) Gene Polymorphisms and Activity with Colorectal Cancer and Effect of Surgical Intervention

  • Ahmed, Nagwa S.;Shafik, Noha M.;Elraheem, Omar Abd;Abou-Elnoeman, Saad-Eldin A.
    • Asian Pacific Journal of Cancer Prevention
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    • 제16권2호
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    • pp.803-809
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    • 2015
  • Background: Colorectal cancer (CRC) is a leading cause of cancer-related death. Oxidative DNA damage may contribute to cancer risk and the antioxidant paraoxonase is one endogenous free radical scavenger in the human body which could therefore exert an influeence. Purpose: Aim of this study was to determine the role of serum arylesterase (ARE) and paraoxonase 1(PON1) activities in CRC patients and to find any association between (PON1) Q192R and L55M gene polymorphisms in CRC patients. Also the serum ARE and PON1 activities in CRC patients will be investigated before and after surgery Materials and Methods: This study involved a total of 50 patients with newly diagnosed CRC and 80 healthy controls. PON1 and ARE activities were determined using an enzymatic spectrophotometric method. PON1 Q192R and L55M gene polymorphisms were determined using polymerase chain reaction-restriction fragment length polymorphism (PCR-RFLP) based restriction fragment analysis. The restriction enzyme AlwI was used to examine the Q192R polymorphism and Hsp92II for the L55M polymorphism. Results: Significant differences in the PON1 Q192R polymorphism were found between patients and controls. The Q allele was more frequent in the patient group than in controls, while the R allele was more frequent in the controls. Significant differences were found in the L55M polymorphism. Additionally, there were significant differences in L and M allele frequencies (p=0.001). The serum activities of PON1 and ARE were low in QQ and MM genotype. Conclusions: serum PON1 and ARE activities were significantly lower in CRC patients compared to healthy subjects. The R allele may protect against colorectal cancer.

흉부 X선 촬영 시 산란선 분포 연구 (Distribution of the Scatter Ray on Chest X-ray Examinations)

  • 조평곤
    • 한국콘텐츠학회논문지
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    • 제12권7호
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    • pp.255-260
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    • 2012
  • 흉부 X-선 촬영 시 피사체의 유무, 촬영실내 X선관과 수광계 (image receptor), 환자 보기창 앞, 환자대기실 출입문 외측, 출입문 개폐여부, 방사선 관계 종사자 출입문 외측, 방사선 관계 종사자 출입문 개폐여부 등으로 구분하여 공간산란선발생을 알아보기 위한 연구로 공간산란선발생에 대한 연구 결과 피사체가 있을 때 수광계 (image receptor) 위치; Chest PA: $663{\pm}3.4$ mR/h, Chest Lateral: $2,067{\pm}3.7$ mR/h, X선관 위치; Chest PA: $293{\pm}2.1$ mR/h, Chest Lateral: $927{\pm}1.9$ mR/h, 환자대기실 출입문 외측 열고; Chest PA: $17{\pm}1.6$ mR/h, Chest Lateral: $88{\pm}2.6$ mR/h, 방사선 관계 종사자 촐입문 외측 열고; Chest PA: $3{\pm}1.6$ mR/h, Chest Lateral: $19{\pm}1.6$ mR/h), 피사체의 두께가 두꺼울수록 각 각의 측정지점에서 산란선 발생이 많았고, 출입문을 닫고 측정한 경우 산란선이 더 적었다. 그러므로 방사선 관계종사자는 촬영실내 산란선 분포에 대한 정확한 정보를 인지하여 불필요한 방사선 피폭을 줄일 수 있도록 노력해야 한다.