• Title/Summary/Keyword: Logarithm

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A study on historico-genetic principle of teaching and learning in mathematics (역사발생적 수학 학습-지도 원리에 관한 연구)

  • 우정호;민세영
    • Journal of Educational Research in Mathematics
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    • v.12 no.3
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    • pp.409-424
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    • 2002
  • The historico-genetic principle has been advocated continuously, as an alternative one to the traditional deductive method of teaching and learning mathematics, by Clairaut, Cajori, Smith, Klein, Poincar$\'{e}$, La Cour, Branford, Toeplitz, etc. since 18C. And recently we could find various studies in relation to the historico-genetic principle. Lakatos', Freudenthal's, and Brousseau's are representative in them. But they are different from the previous historico- genetic principle in many aspects. In this study, the previous historico- genetic principle is called as classical historico- genetic principle and the other one as modern historico-genetic principle. This study shows that the differences between them arise from the historical views of mathematics and the development of the theories of mathematics education. Dewey thinks that education is a constant reconstruction of experience. This study shows the historico-genetic principle could us embody the Dewey's psycological method. Bruner's discipline-centered curriculum based on Piaget's genetic epistemology insists on teaching mathematics in the reverse order of historical genesis. This study shows the real understaning the structure of knowledge could not neglect the connection with histogenesis of them. This study shows the historico-genetic principle could help us realize Bruner's point of view on the teaching of the structure of mathematical knowledge. In this study, on the basis of the examination of the development of the historico-genetic principle, we try to stipulate the principle more clearly, and we also try to present teaching unit for the logarithm according to the historico- genetic principle.

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Meteorologically Adjusted Ozone Trends in the Seoul and Susan Metropolitan Areas (서울과 부산지역 기상의 영향을 제거한 오존농도 추세)

  • 김유근;오인보;황미경
    • Journal of Korean Society for Atmospheric Environment
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    • v.19 no.5
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    • pp.561-568
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    • 2003
  • Surface ozone concentrations are highly sensitive to meteorological variability. Therefore, in order to reveal the long-term changes in ozone due to the changes in precursor emissions, we need to remove the effects of meteorological fluctuations on the annual distribution of surface ozone. In this paper, the meteorologically adjusted trends of daily maximum surface ozone concentrations in two major Korean cities (Seoul and Busan) are investigated based on ozone data from 11 (Seoul) and 6 (Busan) sites over the period 1992 ∼ 2000. The original time series consisting of the logarithm of daily maximum ozone concentrations are splitted into long-term, seasonal and short-term component using Kolmogorov-Zurbenko (KZ) filter. Meteorological effects are removed from filtered ozone series using multiple linear regression based on meteorologcial variables. The long-term evolution of ozone forming capability due to changes in precursor emission can be obtained applying the KZ filter to the residuals of the regression. The results indicated that meteorologically adjusted long-term daily maximum ozone concentrations had a significant upward trend (Seoul: + 3.02% yr$^{-1}$ , Busan: + 3.45% yr$^{-1}$ ). These changes of meteorologically adjusted ozone concentrations represent the effects of changing background ozone concentrations as well as the more localized changes in emissions.

Flutter analysis of long-span bridges using ANSYS

  • Hua, X.G.;Chen, Z.Q.;Ni, Y.Q.;Ko, J.M.
    • Wind and Structures
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    • v.10 no.1
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    • pp.61-82
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    • 2007
  • This paper presents a novel finite element (FE) model for analyzing coupled flutter of long-span bridges using the commercial FE package ANSYS. This model utilizes a specific user-defined element Matrix27 in ANSYS to model the aeroelastic forces acting on the bridge, wherein the stiffness and damping matrices are expressed in terms of the reduced wind velocity and flutter derivatives. Making use of this FE model, damped complex eigenvalue analysis is carried out to determine the complex eigenvalues, of which the real part is the logarithm decay rate and the imaginary part is the damped vibration frequency. The condition for onset of flutter instability becomes that, at a certain wind velocity, the structural system incorporating fictitious Matrix27 elements has a complex eigenvalue with zero or near-zero real part, with the imaginary part of this eigenvalue being the flutter frequency. Case studies are provided to validate the developed procedure as well as to demonstrate the flutter analysis of cable-supported bridges using ANSYS. The proposed method enables the bridge designers and engineering practitioners to analyze flutter instability by using the commercial FE package ANSYS.

Authentication Protocol based on Efficient OTP (효율적인 OTP 기반의 인증 프로토콜)

  • Shin, Seung-Soo;Han, Kun-Hee
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.11 no.4
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    • pp.1301-1306
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    • 2010
  • The protocol based on password have very important qualifications that not only satisfy against attacks cause of restricting that have, but also efficiency of reducing users' workload. It has a problem of speculative attacks for the user authentication protocol based on password with most case, because users use password that can remember easily. Song and Etc. have proposed new mechanism that improved the problem of S/KEY system. The protocol proposed by Song has a problem in registration process, and user information can be abused by the malevolent server. We propose a new authentication protocol based on efficient OPT, that improved above problems.

Treatment of cutting-oily wastewater by electrocoagulation-flotation (ECF) process: Modeling approach

  • Chawaloesphosiya, Nattawin;Mongkolnauwarat, Jittrapa;Prommajun, Chayanin;Wongwailikhit, Kritchart;Painmanakul, Pisut
    • Environmental Engineering Research
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    • v.20 no.4
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    • pp.392-396
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    • 2015
  • This work aims to investigate the oily wastewater treatment by the electrocoagulation-flotation (ECF) and propose a mathematical model for the efficiency prediction. Cutting oil was used to prepare the synthetic oily wastewater with submicron droplet sizes. The chemical coagulation by aluminium sulfate was firstly tested following by the electrocoagulation-flotation with aluminium electrodes. Both processes gave the effective treatment performance with the efficiencies higher than 90%. However, the ECF consumed less aluminium dosage as well as produced less sludge, which were its advantage on the chemical coagulation. The performance of the ECF was found to be affected by the current density, oil concentration, and reaction time according to the analysis by the design of experiment (DOE). Finally, the prediction model was proposed by two approaches, including linear and logarithm function. The latter model gave more accuracy prediction results in terms of treatment efficiency and duration in the lag and stable stages.

Atmospheric Concentrations and Temperature- Dependent Air-Surface Exchange of Organochlorine Pesticides in Seoul (도시 대기 중 유기염소계 살충제의 농도수준 및 배출 특성)

  • 최민규;여현구;천만영;선우영
    • Journal of Korean Society for Atmospheric Environment
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    • v.18 no.4
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    • pp.275-284
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    • 2002
  • Atmospheric concentrations of organochlorine pesticides (OCPs) in Seoul, South Korea between July 1999 and May 2000 were determined to investigate concentration distribution in air, relationship between concentrations and meteorological conditions, and apportionment of sources e.g. local sources (air- surface exchange) and long range transport. Endosulfan and $\alpha$-HCH were the highest concentrations in atmosphere with values typcally ranging from 10s to l00s of pg/㎥. These high concentrations may be attributed to their usage, period and chemical property (Koa). All OCPs also showed elevated levels during the summer and were positively correlated with temperature. This would suggest that a seasonal enhancement was due to (re)volatilization from secondary sources and application during the warmer months. The temperature dependence of atmospheric concentrations of OCPs were investigated using plots of the natural logarithm of partial pressure (In P) vs reciprocal mean temperatures (1/T), and environmental phase-transition energies were calculated for each of the pesticides. For OCPs, temperature dependence was statistically significant (at the 99.99% confidence level) and temperature accounted for 35~95% of the variability in concentrations. The relatively higher slopes and phase-transition energies for $\alpha$-, ${\gamma}$-chlordane, endosulfan and endosulfan sulfate suggested that volatilization from local sources influenced their concentrations. The relatively lower those for $\alpha$-, ${\gamma}$-HCH, p, p'-DDE and heptachlor epoxide also suggested that volatilization from local sources and long range transport influenced their concentrations.

A study on the Co-movement of Stock Market between Digital Contents Industry in Korea and Foreign Market (디지털컨텐츠산업의 해외주식시장 동조화 연구)

  • Wi, Han-Jong
    • Proceedings of the Korea Contents Association Conference
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    • 2006.05a
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    • pp.43-46
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    • 2006
  • This study examined the stock return co-movement among Korean digital contents industry, American NASDAQ, and Japanese NIKKEI225. This is to identify the reaction of Korean digital contents industry on the movement of foreign stock market. To investigate the co-movements, during the period of 1999 to 2005, daily logarithm difference returns of each stock market indices are tested by the methodology of Granger(1963, 1969)'s causality test. The positive influence from NASDAQ index to Korean digital contents industry index are found, but not vice versa. It means that the market value of firms in Korean digital contents industry affected by the movement of American NASDAQ market which composite with digital IT firms. However, the co-movements with NIKKEI225 did not found.

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A Study on Digital Multisignature Scheme in electronic Approval systems (디지털 다중서명 방식을 적용한 전자결재 시스템에 관한 연구)

  • Park, Hui-Un;Gang, Chang-Gu;Lee, Im-Yeong
    • The Transactions of the Korea Information Processing Society
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    • v.6 no.4
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    • pp.999-1008
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    • 1999
  • In this study, we propose a new multi-party electronic approval system. We classified and analyzed several existing electronic approval systems which use the multisignature method. Based on the analysis, we developed a new multisignature method and then applied it to several existing electronic approval systems. By comparing various aspects of the new and the conventional methods, we were able to demonstrate the effectiveness of the proposed method. The new method is based discrete logarithm so that it lowers the complexity requirement involved in electronic communication and rises the ability requirement, hence makes itself suitable to general electronic approval systems.

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Adaptation of a Key Distribution Scheme for VSAT Satellite Communications (VSAT 위성통신 보호를 위한 키 분배 방식의 적용)

  • Park, Jeong-Hyeon;Im, Seon-Bae
    • The Transactions of the Korea Information Processing Society
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    • v.6 no.1
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    • pp.115-122
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    • 1999
  • This paper presents a key distribution scheme based on the Yacobi scheme that does not use the secret key provided by key distribution center, but uses instead a random number generated y the user. The scheme is independent of the exposure of the secret key. this paper also presented the key distribution schemes based on the Diffie-Hellman (DH) and ID (identity). The schemes based on the solving of the discrete logarithm and prime resolution into factors are better on the expose of secret key. The proposed scheme based on the DH was applied to VSAT satellite communications and simulated on PC using Montgomery algorithm for modular and MD5 (Message Digest) for hashing function.

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Fingerprinting Scheme for Contents Protection in Mobile Environment (모바일 환경에서의 콘텐츠 보호를 위한 핑거프린팅 기법)

  • Yong, Seung-Lim;Lee, Sang-Ho
    • The KIPS Transactions:PartC
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    • v.15C no.3
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    • pp.167-172
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    • 2008
  • Fingerprinting scheme supports the copyright protection to track redistributors of digital content using cryptographic techniques. Fingerprinting schemes should guarantee buyer's anonymity and asymmetry for their privacy. Most of known fingerprinting schemes adopt public-key cryptosystems to achieve asymmetry and discrete logarithm problem or graph isomorphism problem to achieve anonymity. However, these schemes are not suited in mobile environment because of the drawbacks of requiring high computational complexity. In this paper, we propose an efficient fingerprinting scheme for mobile environment to provide not only asymmetry of the protocol but also transaction anonymity of the buyer. By employing symmetric encryption to encrypt the digital content and adopting agent to perform the protocols, the efficiency of the proposed scheme is improved.