• 제목/요약/키워드: logarithmic form

검색결과 46건 처리시간 0.028초

A Priori Boundary Estimations for an Elliptic Operator

  • Cho, Sungwon
    • 통합자연과학논문집
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    • 제7권4호
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    • pp.273-277
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    • 2014
  • In this article, we consider a singular and a degenerate elliptic operators in a divergence form. The singularities exist on a part of boundary, and comparable to the logarithmic distance function or its inverse. If we assume that the operator can be treated in a pointwise sense than distribution sense, with this operator we obtain a priori Harnack continuity near the boundary. In the proof we transform the singular elliptic operator to uniformly bounded elliptic operator with unbounded first order terms. We study this type of estimations considering a De Giorgi conjecture. In his conjecture, he proposed a certain ellipticity condition to guarantee a continuity of a solution.

SOME INTEGRAL REPRESENTATIONS OF THE CLAUSEN FUNCTION Cl2(x) AND THE CATALAN CONSTANT G

  • Choi, Junesang
    • East Asian mathematical journal
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    • 제32권1호
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    • pp.43-46
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    • 2016
  • The Clausen function $Cl_2$(x) arises in several applications. A large number of indefinite integrals of logarithmic or trigonometric functions can be expressed in closed form in terms of $Cl_2$(x). Very recently, Choi and Srivatava [3] and Choi [1] investigated certain integral formulas associated with $Cl_2$(x). In this sequel, we present an interesting new definite integral formula for the Clausen function $Cl_2$(x) by using a known relationship between the Clausen function $Cl_2$(x) and the generalized Zeta function ${\zeta}$(s, a). Also an interesting integral representation for the Catalan constant G is considered as one of two special cases of our main result.

Polynomial-Filled Function Algorithm for Unconstrained Global Optimization Problems

  • Salmah;Ridwan Pandiya
    • Kyungpook Mathematical Journal
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    • 제64권1호
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    • pp.95-111
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    • 2024
  • The filled function method is useful in solving unconstrained global optimization problems. However, depending on the type of function, and parameters used, there are limitations that cause difficultiies in implemenations. Exponential and logarithmic functions lead to the overflow effect, requiring iterative adjustment of the parameters. This paper proposes a polynomial-filled function that has a general form, is non-exponential, nonlogarithmic, non-parameteric, and continuously differentiable. With this newly proposed filled function, the aforementioned shortcomings of the filled function method can be overcome. To confirm the superiority of the proposed filled function algorithm, we apply it to a set of unconstrained global optimization problems. The data derived by numerical implementation shows that the proposed filled function can be used as an alternative algorithm when solving unconstrained global optimization problems.

Streptomyces coelicolor 의 Catalase 들의 분석

  • 김형표;이종수;하영칠;노정혜
    • 미생물학회지
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    • 제30권4호
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    • pp.291-298
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    • 1992
  • 비변성 폴리아크릴 아미드 겔에서 Streptomyces coelicolor 의 catalase 활성 염색을 실시하여 여러개의 catalase 활성 띠를 관찰하였으며, 그 유형이 성장기에 따라 달라짐을 알았다. 포자와 정체 성장기에는 정체 성장기에만 특이적인Cat1(760kD) 이 관찰되었고, Cat2(300kD) 를 제외한 모든 활성 띠들이 나타났다. 중기 대수 성장기에는 Cat2 와 Cat 3-2, Cat3-2(140kD) 등 2개의 catalase 띠가 나타나며, 후기 대수 성장기에는 Cat3-1(170 kD), Cat3-2, Cat3-3(130kD). Cat4(70kD)등의 활성 띠가 나타났다. NTG 처리로 돌연변이화된 S. coelicolor 의 포자를 Bennet 평판 배지네서 배양한 후 과산화수소 거품 test 를 실시하여, 약 5000 여개의 콜로니 중 거품형성 속도나 양이 감소한 콜로니를 12개 얻었다. 야생형에 견주어 대부분 catalase 활성이 감소하였으며, 대수 성장기와 정체 성장기에서 모두 감소하였다. 거품형헝을 하지 않는 모든 돌연변이에서 Cat3-2 띠의 강도라 현저히 약해저 있음으로 보아 Cat3-2가 주된 catalase 인 것으로 추정된다. 대수 성장기에서 수확한 S. coelicolor 세포 추출액에서 Sepharose CL-4B, DEAE Sepharose CL-6B, Phenyl Sepharose CL-4B, Hydroxylapatite 크로마토그래피등 4단계의 크로마토그래피를 수행하여 Cat3-2 를 정제하였다. 비변성 폴리아크릴마드 겔 전기 영동을 수행한 결과 Cat3-2 는 67 kD 의 동일한 subunit 을 2개 가지고 있는 효소로 추정된다.

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Closed-form fragility analysis of the steel moment resisting frames

  • Kia, M.;Banazadeh, M.
    • Steel and Composite Structures
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    • 제21권1호
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    • pp.93-107
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    • 2016
  • Seismic fragility analysis is a probabilistic decision-making framework which is widely implemented for evaluating vulnerability of a building under earthquake loading. It requires ingredient named probabilistic model and commonly developed using statistics requiring collecting data in large quantities. Preparation of such a data-base is often costly and time-consuming. Therefore, in this paper, by developing generic seismic drift demand model for regular-multi-story steel moment resisting frames is tried to present a novel application of the probabilistic decision-making analysis to practical purposes. To this end, a demand model which is a linear function of intensity measure in logarithmic space is developed to predict overall maximum inter-story drift. Next, the model is coupled with a set of regression-based equations which are capable of directly estimating unknown statistical characteristics of the model parameters.To explicitly address uncertainties arise from randomness and lack of knowledge, the Bayesian regression inference is employed, when these relations are developed. The developed demand model is then employed in a Seismic Fragility Analysis (SFA) for two designed building. The accuracy of the results is also assessed by comparison with the results directly obtained from Incremental Dynamic analysis.

사람 혈청 트란스페린수용체의 단클론 항체를 이용한 방사면역측정과 철영양상태의 진단 (Immunoradiometric Assay using Monoclonal Antibody Against Human Serum Transferrin Receptor for Diagnosis of Iron Deficiency)

  • 김승렬
    • Journal of Nutrition and Health
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    • 제29권9호
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    • pp.971-980
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    • 1996
  • The soluble transferrin receptor(TfR) in human serum has been shown recently to be a truncated form of intact membrane bound receptor containing most of the extracellular domain. We purfied the transferin-free TfR from human serum by immounoaffinity chromatography which produced the single protein identity in high resolution gel chormatography. The monoclonal antibodies(MAb) against purifed serum TfR were produced by fusion of spleen cells o fimmunized Balb/c mice and SP2 cells. Ten hybrids producing MAb specific for serum TfR were identifed and determine their iostypes. A immunoraddiometric assay (IRMA) for serum TfR was established using two monoclonal IgG1 antibodies as the coating and indicator antibodies on the bosis of their suitability in sandwich IRMA of serum TfR. The mean serum TfR levels in the 15 normal male, 15 normal female, and 19 iron-deficient subjects were 5.4$\pm$0.98, 4.6$\pm$0/76, and 18.0$\pm$12.8mg/1, respectively, and the difference in mean values between normal and iron deficient subjects was significant(p=0.0005). There existed the inverse logarithmic relationship(r=-0.9336, p<0.0001) between the serum TfR and ferritin levels.

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냉매의 포화증기밀도 상관식 비교 (Comparison of Correlations of Saturated Vapor Density for Some Refrigerants)

  • 박경근;강병하;장시열
    • 설비공학논문집
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    • 제19권6호
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    • pp.457-463
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    • 2007
  • Various correlations of saturated vapor density in a truncated power series form are tested and compared in this study. Saturated vapor density correlation can be expressed relating logarithmic reduced density to the reduced temperature. Five types of correlation has been investigated using saturated vapor density data for 22 pure substance refrigerants from ASHRAE (American Society of Heating, Reftigerating and Air-Conditioning Engineers, Inc.) property tables and NIST (National Institute of Standards and Technology) Chemistry Webbook. Correlations are fitted to the data points by least squares method. Data points are equally weighted. The best type of correlation among the five types is suggested. The results obtained indicate that the best correlations with 3, 4, and 5 terms yield average AAD's (Average Absolute Deviation) of 0.27%, 0.04%, and 0.02%, respectively, while widely used conventional correlations with 3, 4, and 5 terms yield those of 1.19%, 0.61%, and 0.17%. The suggested type of correlation could reduce the number of terms while improving performance.

미고결 셰일의 크립 특성 (Creep Characteristics of Unconsolidated Shale)

  • 장찬동
    • 한국지구물리탐사학회:학술대회논문집
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    • 한국지구물리탐사학회 2006년도 공동학술대회 논문집
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    • pp.195-200
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    • 2006
  • 실내실험을 통해 미고결 셰일의 압밀은 시간 의존적 비복원 점성변형임을 보였다. 점소성 이론과 Cam-clay 이론을 접목하여 미고결 셰일의 구성방정식이 동항복/정항복면의 크기에 대한 지수함수의 형태로 주어짐을 보였으며 이를 통해 크립 변형은 시간에 대한 로그함수의 형태로 구해짐을 보였다. 실험자료와 이론을 비교하여 구성방정식의 물질상수를 규명한 결과 셰일의 항복점은 변형속도가 10배 증가함에 따라 약 6%의 증가하는 것으로 나타났으며 이는 실내 변형속도 조건에서 규명한 셰일의 물성(항복점, 공극률)을 실제 현장 변형속도 조건에 적용시에 상당한 오차를 유발할 수 있음을 시사한다.

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Lactobacillus acidophilus 88의 Protoplast 형성 및 재생에 관한 연구 (Studies on the Protoplast Formation and Regeneration of Lactobacillus acidophilus 88)

  • 전홍기;허경;조영배;백형석
    • 한국미생물·생명공학회지
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    • 제22권2호
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    • pp.143-151
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    • 1994
  • In the course of the study on strain inprovement by protoplast fusion, Lactobacillus acidophilus 88 protoplasts production and regeneration conditions were investigated. This strain produced a bacteriocin that revealed strong inhibitory activity against various indicator strains, especially L. helveticus CNRZ 1096. Protoplasts of L. acidophilus 88 strains were very efficiently obtained by treatment with 125 $\mu $g/ml lysozyme in a protoplast forming buffer containing 20 mM N-2 hydroxy-ethtl-piperazine-N'-2-ethane-sulfonic acid(HEPES, pH 7.0) and 1M sucrose at 37$\circ $C for 30 min. Hovever, treatment with mutanolysin was not effective for the production of L. acidophilus 88 protoplasts under the same conditions. High protoplast yield was obtained form the cells at the middle to late logarithmic growth phase in the de Man, Rogosa and Sharpe(MRS) medium. Regeneration was efficiently accomplished with the MRS medium containing 10% sucrose.

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대장균에서 lactose를 이용한 수용성 재조합 인간 상피 세포 성장 인자의 생산 (Efficient Use of Lactose for Production of the Soluble Recombinant Human Epidermal Growth Factor in Escherichia coli.)

  • 박세철;권태종;고인영;유광현
    • 한국미생물·생명공학회지
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    • 제26권1호
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    • pp.61-67
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    • 1998
  • 재조합 인간상피세포 성장인자(rhEGF)가 E. coli BL21(pYHB101) 균주를 사용하여 발현되었다. 10g/L glucose를 첨가한 변형된 MBL 배지를 사용하여 10 $\mu\textrm{m}$ IPTG/lactose로 2시간 동안 유도배양한 후 27$^{\circ}C$에서 48시간 동안 배양하였을 때 44.5 mg/L의 rhEGF가 발현되었다. 상기의 결과는 E. coli BL2l(pYHB101)를 사용하여 rhEGF를 발현시 lactose를 IPTG와 동일한 유도 물질로 사용 가능하다는 것을 시사하는 것이다. 회분식 배양에서 glucose를 10 g/L 첨가한 변형된 MBL 배지에 유도물질로 10 $\mu\textrm{m}$ lactose를 사용하였으며 28시간 동안 배양하였을 때 최대 45 mg/L의 rhEGF가 발현되었다. 유가식 배양에서 정지기에 0.5%(w/v) lactose와 0.25%(w/v) yeast extract를 첨가하였을 때 160mg/L의 rhEGF가 발현되었으며 94.3%가 분비되었다. 이에 비하여 유도기에 lactose를 첨가한 경우는 120 mg/L의 rhEGF가 발현되었으며 cytoplasm으로 발현된 불용성 봉입체의 비율은 20.9%에 달하였다. 이것은 lactose의 첨가시기가 E. coli BL2l(pYHB101)로부터 soluble rhEGF의 생성에 중요하다는 것을 확인한 결과이다.

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