• Communications of Mathematical Education
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• v.17
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• pp.77-94
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• 2003

본고에서는 함수 영역에서 학생들이 가장 배우가 어려워하는 삼각함수와 지수함수 및 로그함수를 대부분의 학생들이 아주 좋아하는 소리와 음악을 통한 새로운 학습과 교수 환경을 제공하고자 한다. 먼저, 소리와 음악을 통하여 학생들의 흥미를 유발시킨다. 두 번째로 초월함수의 성질을 듣고, 볼 수 있게 함으로써 학생들이 이를 쉽게 이해하고 기억할 수 있도록 하였다. 마지막으로 학생들로 하여금 초월함수를 사용하여 그들이 가장 좋아하는 음악을 직접 작곡해보게 함으로서 초월함수들의 실용성을 직접 경험해 보도록 하였다.

• Proceedings of the IEEK Conference
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• 2003.07e
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• pp.2132-2135
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• 2003

본 논문에서는 고정소수점 DSP로 구현한 실시간 MP3 오디오 부호화기에 사용되는 초월함수용 하드웨어 가속기 구조를 제안한다. 구현된 하드웨어 가속기는 MP3 부호화 성능을 저하시키는 초월함수 연산오차에 강인하도록 설계되었다. 제안된 가속기의 연산오차는 Q1.23 고정소수점 출력에서 2비트, 즉 2/sup -21/ 까지의 연산오차를 가진다. LAME 부호화기[5]심리음향 모델의 SMR 오차는 테이블 보간법[4]을 사용할 경우에 비해 4dB이상 향상되었으며, 연산량은 총 4 MIPS 감소하였다. 제안한 하드웨어 가속기는 Verilog HDL로 기술되었으며, SYNOPSYS에서 0.18㎛ CMOS 표준 셀 라이브러리 공정으로 합성되었다. 합성 면적은 7514 게이트이며 초월함수 연산에 대한 동작속도는 3 사이클이다.

• The Transactions of the Korea Information Processing Society
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• v.7 no.1
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• pp.313-320
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• 2000

PEM algorithm cannot expend repeated algorithm, if penalty function is transcendental function. However, OSL algorithm has an advantage that repeated algorithm is easily derived, even though penalty function which has a complicated transcendental function. In spite of this advantage, this algorithm is restricted in convergence region of smoothing constant which increase penalized log-likelihood, so we cannot get the optimal image restoration because it cannot provide us with a various smoothing constant value for the digital image restoration. In this paper, in order to resolve the disadvantage of OSL algorithm, we would like to suggest the algorithm with smoothing constant enlarge the tolerance limit range of convergence and to find not only properties of its convergence but also usefulness of suggested algorithm through digital image simulation.

• Korean Journal of Cognitive Science
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• v.1 no.1
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• pp.103-127
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• 1989

Learning systems by using examples have been developed which include ALEX, LP, and LEX.Specially Silver's LP systems suggerts the method to use a seyuence of operators, which was applied to the worked example, to sove a symbolic equation.This paper presents the new learning system, called LRD, in which generalization and discrimination steps are suggerted to solv all the problems similar to the worked example.The system LRD is illustrated by the problem of finding the ranges of transcendentral functions and compared to LP and LEX by the problems discussed in them.

• Journal for History of Mathematics
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• v.23 no.3
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• pp.57-73
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• 2010

Transcendental numbers are important in the history of mathematics because their study provided that circle squaring, one of the geometric problems of antiquity that had baffled mathematicians for more than 2000 years was insoluble. Liouville established in 1844 that transcendental numbers exist. In 1874, Cantor published his first proof of the existence of transcendentals in article [10]. Louville's theorem basically can be used to prove the existence of Transcendental number as well as produce a class of transcendental numbers. The number e was proved to be transcendental by Hermite in 1873, and $\pi$ by Lindemann in 1882. In 1934, Gelfond published a complete solution to the entire seventh problem of Hilbert. Within six weeks, Schneider found another independent solution. In 1966, A. Baker established the generalization of the Gelfond-Schneider theorem. He proved that any non-vanishing linear combination of logarithms of algebraic numbers with algebraic coefficients is transcendental. This study aims to examine the concept and development of transcendental numbers and to present students with its open problems promoting a research on it any further.

• 한국항공운항학회:학술대회논문집
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• 2006.11a
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• pp.47-52
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• 2006

• Journal of the Korean Society for Aviation and Aeronautics
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• v.14 no.4
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• pp.38-47
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• 2006

This study analyzes the expense structure of the air transport industry, based on the cost and income data of 18 major airlines, estimates the economic effectiveness of scale and conducts comparative analysis. As for the method of analysis, Translog cost function and the Fourier flexible function were used. The result showed that big companies had the economy of scale based on the Translog cost function, while the Fourier flexible function led to a estimation that expanding the input is not recommended, for the expansion of scale entails the poor economy of scale. It can be presumed that the economy of scale was estimated according to the U shape of the Translog cost function in the given data. On the other hand, the Fourier flexible cost function approaches the unknown function, as it is a Fourier series, and correctly infers the economy of scale based on the analyzed data. As for the flag carrier's economy of scale, it was inferred that the economy of scale existed by any of two functions. Therefore, the conclusion was that further expanding the scale will not cause any problem.

• The Transactions of the Korea Information Processing Society
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• v.6 no.12
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• pp.3694-3702
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• 1999

OSL algorithm has an advantage that repeated algorithm is easily derived, even though penalty function which has a complicated transcendental function. In order to solve this problem, we suggested MPEMG algorithm. However, though this algorithm extend convergence rate of smoothing constant, it include the problem that is not faster than OSL algorithm in the convergence rate increasing penalized log-likelihood. Accordingly, in this paper, we will suggest SMOSLG digital image restoration algorithm which is fast in the convergence rate as well as extend convergence region of smoothing constant. And also we will study the usefulness of algorithm suggested through digital image simulation.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.13 no.4
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• pp.727-736
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• 2009

In this paper, the $arccos(cos^{-1})$ arithmetic unit for mobile graphics accelerator is designed. The mobile vector graphics applications need tight area, execution time, power dissipation, and accuracy constraints compared to desktop PC applications. The designed processor adopts 2nd-order polynomial approximation scheme based on IEEE floating point data format to satisfy speed and accuracy conditions and reduces area via hardware sharing structure. The arccosine processor consists of 15,280 gates and its estimated operating frequency is about 125Mhz at operating condition of $0.35{\mu}m$ CMOS technology. Because the processor can execute arccosine function within 7 clock cycles, it has about 17 MOPS(million arccos operations per second) execution rate and can be applicable to mobile OpenVG processor. And because of its flexible architecture, it can be applicable to the various transcendental functions such as exponential, trigonometric and logarithmic functions via replacement of ROM and minor hardware modification.

• Journal of Korean Society of Transportation
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• v.22 no.6
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• pp.159-173
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• 2004

Using a generalized translog multiproduct cost function model, this paper examines economies of scale and scope in the vertically-integrated Korean railway industry. The paper then conceptualizes that the Korea National Railroad (KNR) produces four outputs (passenger-kilometers, ton-kilometers of freight, average length of passenger trips, and average length of freight haul) using three input factors(labor, fuel and maintenance, and rolling stock and capital). Using time series data collected from the KNR's annual records for the years from 1977 to 2002, the simultaneous equation system consisting of a cost function and two input share equatins is estimated with the Zellner's iterative seemingly unrelated regression. The findings show that the cost function corresponding to a non-Cobb-Douglas, non-homothetic, and non-homogeneous production technology adequately represents the KNR's cost structure. On the other hand, the Korean railway industry experiences sizeable overall scale economies, which result from substantial product-specific scale economies associated with passenger-kilometers and freight ton-kilometers and from scope economies associated with their joint production. In addition, the magnitude of economies of scope is influenced largely by the ratio of passenger trips, and has increased over time as the former has increased while the latter has decreased.