• Proceedings of the Korean Geotechical Society Conference
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• 2000.11a
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• pp.737-744
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• 2000

This paper resorts to rock mass rating and rock mass quality to draw value based on the evaluation of rock and to draw interrelation formula in relation to rock mass quality, A comparative analysis was given of survey values reported in the existing documents. This paper has tried to find out the relationship between RMR and Q System for the sake of choosing rational reinforcing patterns and of the safety of tunnels. The results run as follow: RMR=8.251n(Q)+43.83. This paper has also tried to find out the relationship between RMR and Q System by using Fuzzy Approximate Reasoning Concept. We suggest that those in charge should not depend on a single system only after evaluating the classification of rocks, and compare one result with another for the good of keeping track of the condition of base rocks in a better way.

• Korean Journal of Mathematics
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• v.21 no.4
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• pp.365-374
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• 2013

Let $k=\mathbb{F}_q(T)$ be a rational function field over the finite field $\mathbb{F}_q$, where q is a power of an odd prime number, and $\mathbb{A}=\mathbb{F}_q[T]$. Let ${\gamma}$ be a generator of $\mathbb{F}^*_q$. Let $\mathcal{H}_n$ be the subset of $\mathbb{A}$ consisting of monic square-free polynomials of degree n. In this paper we obtain an asymptotic formula for the mean value of $L(1,{\chi}_{\gamma}{\small{D}})$ and calculate the average value of the ideal class number $h_{\gamma}\small{D}$ when the average is taken over $D{\in}\mathcal{H}_{2g+2}$.

• Communications of the Korean Mathematical Society
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• v.19 no.3
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• pp.507-517
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• 2004

Let (2,2,2,2) be ramification indices for the Riemann sphere. It is well known that the regular branched covering map corresponding to this, is the Weierstrass P function. Lattes [7] gives a rational function R(z)= ${\frac{z^4+{\frac{1}{2}}g2^{z}^2+{\frac{1}{16}}g{\frac{2}{2}}$ which is chaotic on ${\bar{C}}$ and is induced by the Weierstrass P function and the linear map L(z) = 2z on complex plane C. It is also known that there exist regular branched covering maps from $T^2$ onto ${\bar{C}}$ if and only if the ramification indices are (2,2,2,2), (2,4,4), (2,3,6) and (3,3,3), by the Riemann-Hurwitz formula. In this paper we will construct regular branched covering maps corresponding to the ramification indices (2,4,4), (2,3,6) and (3,3,3), as well as chaotic maps induced by these regular branched covering maps.

• Journal of Wetlands Research
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• v.2 no.2
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• pp.147-157
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• 2000

The objective of this study is to develop a NGIS-GUI (National Geographic Information System-Graphic User Interface) system for the computation of peak discharge at drainage basin outlet. The developed system is composed of GIS data extraction module, peak flow computation module and output display module. The selected study area is the Sungjun reservoir area near the Milyang, Kyungnam province and the peak flows depending on various recurrence intervals are computed and graphically displayed. The developed system will be useful for the scientific water flow management in the study area.

• KCI Concrete Journal
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• v.12 no.1
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• pp.101-111
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• 2000

It has been a well known fact that buildings having inappropriate expansion joints in their spacings may be subject to exterior damages due to extensive cracks on the outer walls under service loads and structural damages due to excessive moment induced by temperature changes at ultimate load conditions. Unfortunately, consistent code provisions are unavailable regarding spacings of expansion joints from different foreign structural codes. And a more serious problem is that no quantitative measurements on spacings is given in our codes for building structures. In order to establish a rational guideline on the spacing of expansion joints, theoretical approaches are taken in this study. The developed theoretical formula is, then, converted to a design chart for structural designers' convenience in its use. The chart considers both service and ultimate load stages.

• Proceedings of the Earthquake Engineering Society of Korea Conference
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• 2003.03a
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• pp.165-173
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• 2003

In this study, the applicability of currently used pipeline.soil interaction force and previously proposed analytical relationship for the response analysis of buried pipeline subjected to transverse permanent ground deformation (PGD) due to liquefaction is evaluated. Based on meaningful contemplation, the improvement of interaction force and proposition of analytical relationship is made. Improved interaction force includes various patterns of PGD or spatial distributions of interaction force caused by the decrease of soil stiffness, and proposed relationship based on improved formula is applicable without regard to the width of PGD. Through the comparison of numerical results by use of commercial FEM program, the rational applicability of proposed relationship is objectively confirmed.

• Communications of the Korean Mathematical Society
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• v.37 no.2
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• pp.551-566
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• 2022

We apply Fourier-Legendre-based integration methods that had been given by Campbell in 2021, to evaluate new rational double hypergeometric sums involving ${\frac{{1}}{\pi}}$. Closed-form evaluations for dilogarithmic expressions are key to our proofs of these results. The single sums obtained from our double series are either inevaluable $_2F_1({\frac{4}{5}})$- or $_2F_1({\frac{1}{2}})$-series, or Ramanujan's ₃F₂(1)-series for the moments of the complete elliptic integral K. Furthermore, we make use of Ramanujan's finite sum identity for the aforementioned ₃F₂(1)-family to construct creative new proofs of Landau's asymptotic formula for the Landau constants.

• Journal of architectural history
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• v.19 no.2
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• pp.67-83
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• 2010

The purpose of this research is to rethink Alvar Aalto's architecture on the basis of the aesthetic concept of play. This attempt is valid because he had asserted the importance of play in his design. But more fundamentally, his critical view of the instrumentalised rationalism implied the idea that a human being is "Man the Player" as well as "Man the Thinker", of which theory was elaborated in Johan Huizinga's Homo Ludens (1938). Premised on it, this paper investigated the evolution of the play idea in aesthetics and located Aalto's concept within the map. Summing up, his play was an intuitively grasped desire opposed to a rational requirement, which leads to a dialectical synthesis. This schema is similar to that of Schiller, in which Spiel reconciles the reason and the sense. However, Aalto's play could be differentiated into the "astonishingly rational" and "a jest", each of which roughly corresponds to the Spieltrieb (play impulse) and the sinnliche Trieb (sensuous impulse) in Schiller's thinking. On the other hand, Aalto's architecture illustrates play that could be interpreted as the overflow of surplus energy. This play is the very concept that can bridge the gap in the form-function formula of modern architecture. Aalto's play idea seemed to basically originate from his personality but its value must be confirmed by the Finnish litterateur Yrjo Hirn as Aalto mentioned in his statements (1953 & 1972). It appears that Aalto's play concept was materialised in architecture through his typical design language, such as the undulating wall, the aperspective space, the imitation of nature and the collage of heterogenous elements. However, we should be careful not to reductively analyse the application of play in practise. As Huizinga's comprehensive theory suggests, the play element exists in any cultural areas including any architectural activities. In conclusion, this paper argues that Alvar Aalto the Homo Ludens presented the possibility of critical rationalism in modern architecture by imbuing dry modernism with "the life enhancing charm" of "the art of play".

• Journal of Korea Water Resources Association
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• v.38 no.12 s.161
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• pp.1029-1037
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• 2005

Urban Storm Sewer Optimal Design Model(USSOD) was developed to compute pipe capacity, pipe slope, crown elevation, excavation depth, risk and return cost in the condition of design discharge. Rational formula is adopted for design discharge and Manning's formula is used for pipe capacity. Discrete differential dynamic programming(DDDP) technique which is a kind of dynamic programming (DP) is used for optimization and first order second moment approximation method and uncertainty analysis is also for developing model. USSOD is applied to hypothetical drainage basin to test and verify. After testing the model, it is also applied to Ulsan drainage basin which was developed by Korea Land Cooperation(KOLAND). Comparing the design results of USSOD with those of KOLAND, discharge capacity 0.35 $m^3/sec$, the crown elevation is 0.77m higher and return cost is $9\%$ less than design results of KOLAND, which verify the improvement of USSOD. Layout design model using GIS and optimization including detention or retention effect are needed in the future study.

• Journal of the Korean Society for Nondestructive Testing
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• v.5 no.1
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• pp.34-47
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• 1985

The developing country, KOREA where does not possess the natural resources for traditional energy such as oil and gas, so. The nuclear energy is the most single reliable source available for closing the energy gap. For these reason, It is inavoidable to construct the nuclear power plant and to develop technology related nuclear energy. The rate of operation in large nuclear power facilities depends upon the performance of work system through design and construction, and also the applied technology. Especially, it is the most important element that safety and reliability in operation of nuclear power plant. In view of this aspects, Nuclear power plant is performed severe examinations during preservice and inservice inspection. This study provide an automation of analysis for volumetric examination which is required to nuclear power plant components. It is composed as follows: I. Introduction II. Inservice Inspection of Nuclear Power Plant ${\ast}$ General Requirement. ${\ast}$ Principle and Methods of Ultrasonic Test. ${\ast}$ Study of Flaw Evaluation and Design of Classifying Formula for Flaws. III. Design of Automation for Flaw Evaluation. IV. An Example V. Conclusion In this theory, It is classifying the flaws, the formula of classifying flaws and the design of automation that is the main important point. As motioned the above, Owing to such as automatic design, more time could be allocated to practical test than that of evaluation of defects, Protecting against subjective bias tester by himself and miscalculation by dint of various process of computation. For the more, adopting this method would be used to more retaining for many test data and comparative evaluating during successive inspection intervals. Inspite of limitation for testing method and required application to test components, it provide useful application to flow evaluation for volumetric examination. Owing to the characteristics of nuclear power plant that is highly skill intensive industry and has huze system, the more notice should be concentrated as follows. Establishing rational operation plan, developing various technology, and making the newly designed system for undeveloped sector.