• Title/Summary/Keyword: actual infinity

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Understanding Turing and Kierkegaard through a Mathematical Model (튜링과 키에르케고어: 수학적 모델을 통한 이해)

  • Park, Chang Kyun
    • Journal for History of Mathematics
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    • v.27 no.2
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    • pp.139-152
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    • 2014
  • This paper aims to compare and contrast Kierkegaard and Turing, whose birth dates were one hundred years apart, analyzing them from the perspective of the limit. The model of analysis is two concentric circles and movement in them and on the boundary of outer circle. In the model, Kierkegaard's existential stages have 1:1 correspondences: aesthetic stage, ethical stage, religious stage A and religious stage B correspond to inside of the inner circle, outside of the inner circle, the boundary of the outer circle and the outside of the outer circle, respectively. This paper claims that Turing belongs to inside of the outer circle and moves to the center while Kierkegaard belongs to outside of the outer circle and moves to the infinity. Both of them have movement of potential infinity but their directions are opposite.

Estimation of Landslide Risk based on Infinity Flow Direction (무한방향흐름기법을 이용한 산사태 위험도 평가)

  • Oh, Sewook;Lee, Giha;Bae, Wooseok
    • Journal of the Korean GEO-environmental Society
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    • v.20 no.2
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    • pp.5-18
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    • 2019
  • In this study, it was conducted a broad-area landslide analysis for the entire area of Kyungsangbuk-do Province based on spatially-distributed wetness index and root reinforcement infinity slope stability theory. Specifically, digital map, soil map and forest map were used to extract topological and geological parameters, and to build spatially-distributed database at $10m{\times}10m$ resolution. Infinity flow direction method was used for rain catchment area to produce spatially-distributed wetness index. The safety level that indicates risk of a broad-area landslide was classified into four groups. The result showed that areas with a high estimated risk of a landslide coincided with areas that recently went through an actual landslide, including Bonghwa and Gimcheon, and unstable areas were clustered around mountainous areas. A comparison between the estimation result and the records of actual landslide showed that the analysis model is effective for estimating a risk of a broad-area landslide based on accumulation of reasonable parameters.

An Analysis of the Visual Attention on the Urban Landscape with Pilotis Space using Eye Tracking in terms of the Conception of 'Space and Infinity' ('공간과 무한성' 개념의 측면에서 도시경관에 대한 시각적 분석 - 필로티 공간의 유무에 따른 아이트래킹 기법 실험분석을 바탕으로 -)

  • Cho, Hyeong-Kyu
    • Journal of the Architectural Institute of Korea Planning & Design
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    • v.34 no.6
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    • pp.23-30
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    • 2018
  • Gordon Cullen, who tried to understand urban landscapes in terms of visual attention, introduced a concept called 'Space and Infinity' in his book 'Townscape'. According to him, urban images like infinity spreading across the sky are more effectively created when we happen to see an open space while walking along a ground-level street than when we look at the sky. This study aims to quantitatively examine if urban observers pay more attention to spaces like pilotis on the bottom of a building. Thus, this study collected observers on actual urban landscape images and partially-edited images and conducted an experiment by adopting Eye-movement Tracking to find out if they actually pay more visual attention to a space like pilotis. This study selected a total of 50 people as research subjects and divided them into two groups. Image 1 was shown to one group, and Image 2 with the pilotis space edited was shown to the other group. As an experiment to find objective evidences on Gordon Cullen's 'Space and Infinity', this study analyzed difference between Image 1 and Image 2, and it was found that the domain of pilotis showed a value five times higher than the average visual attention since it attracted much visual attention although it was very small in area. That is, it has objectively clarified that people get most fascinated with a place with infinite images in the background like a pilotis space out of all the urban landscapes as Gordon Cullen's theory. In addition, the differences in visual concentration of pilotis space by sex, by subject was examined, and there was no significant difference in visual concentration of pilotis space by gender. As a result of examining the difference of visual concentration by classifying the subjects into architectural related major, the major group showed higher frequency of viewing than the non - major group.

Cantor's Theology and Mathematics of the Infinite (칸토르의 수학 속의 신학)

  • Hyun, Woo-Sik
    • Journal for History of Mathematics
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    • v.24 no.3
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    • pp.13-21
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    • 2011
  • This mathematico-theological study addresses the Cantor's mathematics and theology of the infinite. From the scientific perspective, Cantor's landmark works opened the definition and logic of infinity in concreto, in abstracto, and in Deo. According to Cantor, the absolute infinite ${\Omega}$ could imply God's property beyond the actual infinite in physical and mathematical worlds.

H infinity Controller Design for the Reactor Power Control System

  • Lee, Yoon-Joon
    • Proceedings of the Korean Nuclear Society Conference
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    • 1996.11a
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    • pp.79-84
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    • 1996
  • The robust controller for the nuclear reactor power control system is designed. The reactor model is set up by use of the point kinetics equations and the singly lumped energy balance equations. Since the model is different from the actual plant, the controller which makes the system robust is necessary. The perturbation of the actual plant is investigated with respect to several possible sources of uncertainty. Then the overall system is configured into the two port model and the $H_{\infty}$ controller is designed. The loop shaping and the permissible control rod speed are considered as the design constraints. The designed $H_{\infty}$ controller provides the sufficient margins for the robustness, and the system output as well as the control input satisfy their relevant requirements.

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Adaptive Neural Control for Output-Constrained Pure-Feedback Systems (출력 제약된 Pure-Feedback 시스템의 적응 신경망 제어)

  • Kim, Bong Su;Yoo, Sung Jin
    • Journal of Institute of Control, Robotics and Systems
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    • v.20 no.1
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    • pp.42-47
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    • 2014
  • This paper investigates an adaptive approximation design problem for the tracking control of output-constrained non-affine pure-feedback systems. To satisfy the desired performance without constraint violation, we employ a barrier Lyapunov function which grows to infinity whenever its argument approaches some limits. The main difficulty in dealing with pure-feedback systems considering output constraints is that the system has a non-affine appearance of the constrained variable to be used as a virtual control. To overcome this difficulty, the implicit function theorem and mean value theorem are exploited to assert the existence of the desired virtual and actual controls. The function approximation technique based on adaptive neural networks is used to estimate the desired control inputs. It is shown that all signals in the closed-loop system are uniformly ultimately bounded.

A modified error-oriented weight positioning model based on DV-Hop

  • Wang, Penghong;Cai, Xingjuan;Xie, Liping
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.16 no.2
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    • pp.405-423
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    • 2022
  • The distance vector-hop (DV-Hop) is one of the emblematic algorithms that use node connectivity for locating, which often accompanies by a large positioning error. To reduce positioning error, the bio-inspired algorithm and weight optimization model are introduced to address positioning. Most scholars argue that the weight value decreases as the hop counts increases. However, this point of view ignores the intrinsic relationship between the error and weight. To address this issue, this paper constructs the relationship model between error and hop counts based on actual communication characteristics of sensor nodes in wireless sensor network. Additionally, we prove that the error converges to 1/6CR when the hop count increase and tendency to infinity. Finally, this paper presents a modified error-oriented weight positioning model, and implements it with genetic algorithm. The experimental results demonstrate excellent robustness and error removal.

CONTINUOUS DATA ASSIMILATION FOR THE THREE-DIMENSIONAL LERAY-α MODEL WITH STOCHASTICALLY NOISY DATA

  • Bui Kim, My;Tran Quoc, Tuan
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.1
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    • pp.93-111
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    • 2023
  • In this paper we study a nudging continuous data assimilation algorithm for the three-dimensional Leray-α model, where measurement errors are represented by stochastic noise. First, we show that the stochastic data assimilation equations are well-posed. Then we provide explicit conditions on the observation density (resolution) and the relaxation (nudging) parameter which guarantee explicit asymptotic bounds, as the time tends to infinity, on the error between the approximate solution and the actual solution which is corresponding to these measurements, in terms of the variance of the noise in the measurements.

Development of Photovoltaic Output Power Prediction System using OR-AND Structured Fuzzy Neural Networks (OR-AND 구조의 퍼지 뉴럴 네트워크를 이용한 태양광 발전 출력 예측 시스템 개발)

  • Kim, Haemaro;Han, Chang-Wook;Lee, Don-Kyu
    • Journal of IKEEE
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    • v.23 no.1
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    • pp.334-337
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    • 2019
  • In response to the increasing demand for energy, research and development of next-generation energy is actively carried out around the world to replace fossil fuels. Among them, the specific gravity of solar power generation systems using infinity and pollution-free solar energy is increasing. However, solar power generation is so different from solar energy that it is difficult to provide stable power and the power production itself depends on the solar energy by region. To solve these problems in this paper, we have collected meteorological data such as actual regional solar irradiance, precipitation, temperature and humidity, and proposed a solar power output prediction system using logic-based fuzzy Neural Network.

A Study on Nail Art Applying the Paranoiac Critical Method of Salvador Dali (살바도르 달리(Salvador Dali)의 회화에 나타난 편집광적 비판방법(Paranoiac Critical Method)을 활용한 네일아트에 관한 연구)

  • Jeong, Seung-Eun;Kim, Jeong-Mee
    • Journal of the Korea Fashion and Costume Design Association
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    • v.16 no.2
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    • pp.151-161
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    • 2014
  • This study suggests method of expression of nail art utilizing Salvador Dali's Paranoiac Critical Method and produced the actual works based on discussions on Salvador Dali's painting, Paranoiac Critical Method, Nail Art's artistry and technique of expression. The result of the study is as follows: 1) Characteristic of Dali's painting is a Paranoiac Critical Method. If suggesting this characteristic in a method of expression of nail art, a good work which can be expressed on a small space, a nail, representing Dali is selected and 5 tips which are very similar to the rate of the painting are used in order to obtain an aesthetic effect just like a painting. And after composing on tips using the whole paining or part of painting, actual techniques of expression such as Hand Painting, Protranse or Water Decal are used. 2) the result of nail art produced utilizing Dali's Paranoiac Critical Method is as follows. Most of all, for nail art I with the topic of "The Persistence of Memory" (1931), after giving changes to 5 tips for the watch which is a part of the painting, Hand Painting technique is used using Acrylic Painting with colors which are similar colors to the painting. Then for nail art II which adopted "Slave Market with Invisible Bust of Voltaire" (1940), the whole painting is divided into 5 tips and Protranse technique which attaches printed paper onto nails was used. Lastly, for nail art III with the subject of "The Enigma of Desire My Mother, My Mother, My Mother" (1929), Water Decal which is emphasizing the parts of the painting and composing on 5 tips and copying printed picture onto Water Transfer Paper in order to attach on the nails is used. These nail arts show aesthetic characteristics such as fantasy, unconsciousness, grotesque, infinity, non-realism and horror just like paintings.

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