• Title/Summary/Keyword: Natural Logarithm

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A Study on the Active site of Glucoamylase from Aspergillus shirousamii

  • Lee Kuly Dong;Yang Chul-Hak
    • Bulletin of the Korean Chemical Society
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    • v.10 no.1
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    • pp.107-111
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    • 1989
  • Glucoamylase was inactivated with 1-ethyl-2-(dimethylaminopropyl)carbodiimide (EDC) at pH 5.0. Time course of inactivation of glucoamylase was at least biphasic. From the results of the titration of SH groups with Ellman's reagent and hydroxylamine treatment at pH 7.0, it was concluded that the crucial sites of modification were carboxyl groups of glucoamylase. The CD spectrum of EDC-modified glucoamylase suggested that the gross conformation of the native enzyme was retained. The inactivation of glucoamylase was reduced remarkably in the presence of maltose. The logarithm of the half-life of the inactivation of glucoamylase by EDC was a linear function of log[EDC] in each stage indicating that one carboxyl group among the modified ones was crucial for inactivation of glucoamylase. The change in the binding affinity due to modification was determined by using an affinity column. It indicates that the carboxyl group of glucoamylase seems to play a role in both, the catalysis and substrate binding in the first stage, but in the second stage the binding affinity is recovered almost up to that of native enzyme.

Salting-out Effects on the Partition of Proteins in Aqueous Two-phase Systems

  • KIM, CHAN-WHA;CHO KYUN RHA
    • Journal of Microbiology and Biotechnology
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    • v.6 no.5
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    • pp.352-357
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    • 1996
  • The partition of proteins in the salt-rich phase of polyethylene glycol (pEG)/salt aqueous two-phase systems is limited by the salting-out effects of salt. The logarithm of the concentration of proteins partitioned in the salt-rich phase decreases linearly with increases in the concentration of salt in the salt-rich phase (salting-out). Therefore, the partition of a given protein in the salt-rich phase of aqueous two-phase systems can be estimated from the salting-out constant. The slope of the solubility line (salting-out con-stant) for a given protein is determined by the type of salt in the two-phase systems.

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Transform Methods for PAM Signals as Asymmetric Distribution and Performance Comparison of Bicepstrum Blind Equalizer using Asymmetric Distribution (PAM 신호의 비대칭 분포를 형성하기 위한 방법과 이를 이용한 3차 통계 자력 등화기의 성능 비교)

  • 정교일;임제택
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.33B no.6
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    • pp.54-63
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    • 1996
  • We propose a 3rd order blind equalizer that incorporates a new transform method using either square root operation ($\sqrt{x]$) or reciprocal operation (1/x) in order to transform symmetric distribution of PAM signals at the transmitter, to asymmetric one. At the receiver, either the square operation or the reciprocal operation is needed to recover the asymmetrically transformed signals to the original ones after eualization. The reslts of the computer simulation, using the new method are better than the existing transform method using natural logarithm operation by the maximum of 8 dB in MSE. In addition, as the skewness of the asymmetrically transformed distribution has small values, the performances are improved.

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An Analysis on Open-ended Problem Solving of Gifted Students (수학 영재학생의 개방형 문제 해결 사례 분석)

  • Choi, Su A;Kang, Hong Jae
    • East Asian mathematical journal
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    • v.32 no.4
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    • pp.545-563
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    • 2016
  • The aim of this study was to observe processes and implication to a given program for the 20 gifted children grade 5 by making the number from 1 to 100 with natural numbers 4,4,9 and 9. Revelation of creativity, mathematical tendency of students and meaningful responses were observed by the qualitative records of this game activity and the analysis of result. The major result of a study is as follows: The mathematical creativities of students were revealed and developed by this activity. And the mathematical attitude were changed and developed, so student could actively participate. And students could experience collaborative and social composition learning by presentations and discussion, competition with a permissive atmosphere and open-game rule. It was meaningful that mathematical ideas (negative number, square root, factorial, [x]: the largest integer not greater than x, absolute value, percent, exponent, logarithm etc.) were suggested and motivated by students themselves.

Reflection of a gaussian beam from a planar dielectric interface

  • Lee, Yeon H.
    • Korean Journal of Optics and Photonics
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    • v.7 no.3
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    • pp.200-206
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    • 1996
  • When a Gaussian beam is incident to a planar dielectric interface at an angle other than Brewster angle or the critical angle of total reflection, we derive the six nonspecular effects of rotation, lateral shift, focal shift, Rayleigh length change, magnitude and phase changes in the complex amplitude of the reflected beam simultaneously by taking account of the boundary condition. In the derivation we assume a Gaussian beam of fundamental mode to emerge from the interface and then match at the interface the constant, linear, and quadratic variations of the amplitude and phase of the reflected beam with those of the incident beam multiplied by the reflection coefficient. Our calculation shows that the six nonspecular effects can result from a linear variation of the natural logarithm of the reflection coefficient at the interface.

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Finite element analysis of 2D turbulent flows using the logarithmic form of the κ-ε model

  • Hasebe, Hiroshi;Nomura, Takashi
    • Wind and Structures
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    • v.12 no.1
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    • pp.21-47
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    • 2009
  • The logarithmic form for turbulent flow analysis guarantees the positivity of the turbulence variables as ${\kappa}$ and ${\varepsilon}$ of the ${\kappa}-{\varepsilon}$ model by using the natural logarithm of these variables. In the present study, the logarithmic form is incorporated into the finite element solution procedure for the unsteady turbulent flow analysis. A backward facing step flow using the standard ${\kappa}-{\varepsilon}$ model and a flow around a 2D square cylinder using the modified ${\kappa}-{\varepsilon}$ model (the Kato-Launder model) are simulated. These results show that the logarithmic form effectively keeps adequate balance of turbulence variables and makes the analysis stable during transient or unsteady processes.

Impact of Network Formation on Entrepreneurial Performance and Growth: A Study of Selected Small Enterprises in Bangladesh

  • Bhuiyan, Bashir Ahmed;Imam, Mahmood Osman
    • Asia-Pacific Journal of Business
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    • v.3 no.1
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    • pp.29-38
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    • 2012
  • This study aims at evaluating the impact of network formation variables and found to have positive impact on the economic performance and growth of the enterprises. The calucation of the weighted scores of networking statements brought some affirmative results to influence the performance of the enterprises. Through multiple regression and logistic regression models it is identified that network formation variables like service receiving status, consultation of the family, other business dummy and attendance in fair have some significant positive impact both on the growth and performance of the enterprises. In addition to above variables, from the set of enterprise characteristics natural logarithm of the market value of total assets and from the entrepreneurs' characteristics set of variables, schooling year and squared value of the experience have been found to have significant positive impact. Finally, it is concluded in the study that to enhance the performance and growth of the enterprises, government and policy rlated organizations need to consider important variables that have positive impact in supplying the entrepreneurial resources especially, developing the net-working relationship.

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ON EFFICIENT TWO-FLOW ZERO-KNOWLEDGE IDENTIFICATION AND SIGNATURE

  • Lee, Young-Whan
    • Journal of applied mathematics & informatics
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    • v.29 no.3_4
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    • pp.869-877
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    • 2011
  • In this paper, we propose an efficient two-flow zero-knowledge blind identification protocol on the elliptic curve cryptographic (ECC) system. A. Saxena et al. first proposed a two-flow blind identification protocol in 2005. But it has a weakness of the active-intruder attack and uses the pairing operation that causes slow implementation in smart cards. But our protocol is secure under such attacks because of using the hash function. In particular, it is fast because we don't use the pairing operation and consists of only two message flows. It does not rely on any underlying signature or encryption scheme. Our protocol is secure assuming the hardness of the Discrete-Logarithm Problem in bilinear groups.

A Dipstick-Type Electrochemical Immunosensor for The Detection of The Organophosphorus Insecticide Fenthion

  • Cho, Young-Ae;Cha, Geun-Sig;Lee, Yong-Tae;Lee, Hye-Sung
    • Food Science and Biotechnology
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    • v.14 no.6
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    • pp.743-746
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    • 2005
  • A dipstick-type immunochemical biosensor for the detection of the organophosphorus insecticide fenthion was developed using a screen-printed electrode system as an amperometric transducer with polyclonal antibodies against fenthion as a bioreceptor. The assay of the biosensor involved competition between the pesticide in the sample and pesticide-glucose oxidase conjugate for binding to the antibody immobilized on the membrane. This was followed by measurement of the activity of the bound enzyme by the supply of the enzyme substrate (glucose) and amperometric determination of the enzyme reaction product ($H_2O_2$). The activity of the bound enzyme was inversely proportional to the concentration of pesticide. The optimized sensor system showed a linear response against the logarithm of the pesticide concentration ranging from $10^{-2}$ to $10^3\;{\mu}g/L$.

Study on the Relationship between Udder and Teat Characteristics and Somatic Cell Count (유방과 유두의 형태와 체세포수에 대한 연구)

  • Lee, Jeong-Chi;Lee, Chai-Yong
    • Journal of Veterinary Clinics
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    • v.24 no.2
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    • pp.172-176
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    • 2007
  • The objective of this study was to determine the relationship between udder and teat characteristics and somatic cell count (SCC). A total of 749 (73.1%) milk samples from 1,024 quarters of 259 Holstein cows contained less than 200,000 somatic cells/ml, while 132 (12.9%) quarters contained more than 500,000 somatic cells/ml. Prior to data analysis, somatic cell counts were transformed to natural logarithm. The mean SCS {$log_e(SCS/10^3)$} of milk samples from the front quarters was lower than milk samples from the rear quarters. The highest SCS was observed from cows with the step-shaped udder and the pear-shaped teats, respectively. Increased SCS was observed from cows with large teat diameter, short teat length, short distance between the teat tip to floor (p<0.05) and with increase in parity, respectively.