• 제목/요약/키워드: FRACTAL

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고해상도 ASOS 자료를 이용한 강우의 프랙털 특성 분석 (Analyzing fractal features in rainfall using high-resolution ASOS data)

  • 강형석;백경록
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2017년도 학술발표회
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    • pp.171-171
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    • 2017
  • 강우의 시간분포는 다양한 시간규모에 걸쳐 프랙털 또는 멀티프랙털 특성을 가지고 있음이 알려졌다. 기존의 연구는 주로 시간단위 이상의 프랙털 특성에 관한 것이었다. 실제로 극한 홍수를 가져오는 집중호우는 짧은 시간 규모에서 발생함에도, 이것에 대해서는 관측 자료가 제한되어 극소수의 실험적 연구만 가능했다. 본 연구에서는 기상청에서 제공한 고해상도(1분 단위) ASOS(Automated Synoptic Observation System) 자료를 이용하여, 강우 사상 안에서의 프랙털 특성을 분석해보았다. 대부분의 사상에서 단일 멱함수보다는 2개의 멱함수로 나누어지는 것이 밝혀졌으며, 나뉘는 시간 규모(T*)는 $3{\times}10$ 분으로 파악되었다. 이 시간 규모는 한 단위의 집중호우를 가져올 수 있는 구름크기의 물리적 상한과 관련이 있는 것으로 보인다. T*보다 작은 시간 규모에서의 멱함수 지수는 그 이후의 값보다 대체로 작은 것으로 나타났다. 이는 호우가 집중되는 기간의 변동성이, 강수가 물리적 한계에 도달한 이후보다 훨씬 작기 때문으로 보인다. 구체적인 멱함수의 지수는 강수의 발생과정과도 관련이 있을 것으로 추정된다.

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기압의 공간 편차에서 나타나는 프랙탈 특성 (Fractal characteristics of spatial variance in atmospheric pressure)

  • 김종천;백경록
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2015년도 학술발표회
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    • pp.4-4
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    • 2015
  • 기압 분포의 공간 구조를 이해하고, 그것의 변동을 살펴보는 것은 풍속의 경향을 파악하는 것은 물론, 장기적인 측면에서는 기후변화를 예측하기 위한 기본 과정이라 할 수 있다. 본 연구에서는 장기간에 걸쳐 공간적으로 연속적인 관찰이 가능한 20CR(20th Century Reanalysis) 원격탐사 재분석 자료의 지오포텐셜(geopotential) 값을 활용하여 동아시아 지역 기압의 공간 분포를 살펴보았다. 그 결과 특정 범위 내에서 계산되는 기압의 편차 값과 해당 범위를 정의하는 수평 거리 사이의 관계(변동도; variogram)가 멱함수를 따르는 것을 확인하였다. 흥미로운 점은 지난 반세기 동안 멱함수의 계수 값이 풍속과 동일한 패턴으로 변화하는 반면, 지수 값 (프랙탈 차원)은 일정하게 유지되고 있다는 사실이다. 또한, 2000년 이후로는 계절 별로 한랭한 기단 (겨울철)과 온난한 기단 (여름철)이 번갈아가며 동아시아 지역으로 세력을 확장하는 경향을 보였으며, 그로인해 전반적인 기압의 편차가 증가하였다.

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신경회로망을 이용한 철도레일 용접부의 건전성평가 (The Integrity Evaluation of weld zone in railway rails Using Neural Network)

  • 윤인식;임미섭
    • 한국철도학회논문집
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    • 제6권2호
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    • pp.81-86
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    • 2003
  • This study proposes the neural network simulator for the integrity evaluation of weld zone in railway rails. For these purposes, the ultrasonic signals for defects(crack) of weld zone in frames are acquired in the type of time series data and echo strength. The detection of the natural defects in railway truck is performed using the characteristics of echodynamic pattern in ultrasonic signal. And then their applications evaluated feature extraction based on the time-frequency-attractor domain(peak to peak, rise time, rise slope, fall time, fall slope, pulse duration, power spectrum, and bandwidth) and attractor characteristics (fractal dimension and attractor quadrant) etc. The constructed neural network simulator agrees fairly well with the measured results of test block(defect location, beam propagation distance, echo strength, etc). The Proposed neural network simulator in this study can be used for the integrity evaluation of weld zone in railway rails.

LONG-TIME BEHAVIOR OF A FAMILY OF INCOMPRESSIBLE THREE-DIMENSIONAL LERAY-α-LIKE MODELS

  • Anh, Cung The;Thuy, Le Thi;Tinh, Le Tran
    • 대한수학회보
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    • 제58권5호
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    • pp.1109-1127
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    • 2021
  • We study the long-term dynamics for a family of incompressible three-dimensional Leray-α-like models that employ the spectral fractional Laplacian operators. This family of equations interpolates between incompressible hyperviscous Navier-Stokes equations and the Leray-α model when varying two nonnegative parameters 𝜃1 and 𝜃2. We prove the existence of a finite-dimensional global attractor for the continuous semigroup associated to these models. We also show that an operator which projects the weak solution of Leray-α-like models into a finite-dimensional space is determining if it annihilates the difference of two "nearby" weak solutions asymptotically, and if it satisfies an approximation inequality.

Radiographic analysis of the management of tooth extractions in head and neck-irradiated patients: a case series

  • Oliveira, Samanta V.;Vellei, Renata S.;Heguedusch, Daniele;Domaneschi, Carina;Costa, Claudio;Gallo, Camila de Barros
    • Imaging Science in Dentistry
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    • 제51권3호
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    • pp.323-328
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    • 2021
  • Tooth extraction after head and neck radiotherapy exposes patients to an increased risk for osteoradionecrosis of the jaw. This study reports the results of a radiographic analysis of bone neoformation after tooth extraction in a case series of patients who underwent radiation therapy. No patients developed osteoradionecrosis within a follow-up of 1 year. Complete mucosal repair was observed 30 days after surgery, while no sign of bone formation was observed 2 months after the dental extractions. Pixel intensity and fractal dimension image analyses only showed significant bone formation 12 months after the tooth extractions. These surgical procedures must follow a strict protocol that includes antibiotic prophylaxis and therapy and complete wound closure, since bone formation at the alveolar socket occurs at a slower pace in patients who have undergone head and neck radiotherapy.

Top-Heavy Initial Mass Function of Star Clusters near the Galactic Centre

  • Park, So-Myoung;Goodwin, Simon P.;Kim, Sungsoo S.
    • 천문학회보
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    • 제43권2호
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    • pp.51.2-51.2
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    • 2018
  • Star clusters are important in understanding star formation. In star-forming regions, the number of stars with mass forms with an initial mass function (IMF), i.e. Chabrier, Salpeter, Kroupa, etc. In our simulations, initially sub-virial fractal star clusters evolve to become surviving sub-regions in strong tidal fields. We investigate the slope of the mass function (MF) of these sub-regions with time near the Galactic centre (GC). These sub-regions would appear to have a top-heavy IMF at ~ 2 Myr. Therefore, although our star-forming region near the GC has a normal IMF, stars in surviving 'clusters' can have a top-heavy 'IMF' due to the violent environment.

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A Video Traffic Flow Detection System Based on Machine Vision

  • Wang, Xin-Xin;Zhao, Xiao-Ming;Shen, Yu
    • Journal of Information Processing Systems
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    • 제15권5호
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    • pp.1218-1230
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    • 2019
  • This study proposes a novel video traffic flow detection method based on machine vision technology. The three-frame difference method, which is one kind of a motion evaluation method, is used to establish initial background image, and then a statistical scoring strategy is chosen to update background image in real time. Finally, the background difference method is used for detecting the moving objects. Meanwhile, a simple but effective shadow elimination method is introduced to improve the accuracy of the detection for moving objects. Furthermore, the study also proposes a vehicle matching and tracking strategy by combining characteristics, such as vehicle's location information, color information and fractal dimension information. Experimental results show that this detection method could quickly and effectively detect various traffic flow parameters, laying a solid foundation for enhancing the degree of automation for traffic management.

One-Pot Electrochemical Synthesis of Hierarchical Porous Niobium

  • Joe, Gihwan;Shin, Heon-Cheol
    • Journal of Electrochemical Science and Technology
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    • 제12권2호
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    • pp.257-265
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    • 2021
  • In this study, we report niobium (Nb) with hierarchical porous structure produced by a one-pot, HF-free electrochemical etching process. It is proved experimentally that a well-defined hierarchical porous structure is produced from the combination of a limited repetition of pulse etching and high concentration of aggressive anion (i.e., SO42-), which results in hierarchical pores with high order over 3. A formula is derived for the surface area of porous Nb as a function of the hierarchical order of pores while the experimental surface area is estimated on the basis of the electrochemical gas evolution rate on porous Nb. From the comparison of the theoretical and experimental surface areas, an in-depth understanding was gained about porous structure produced in this work in terms of the actual pore shape and hierarchical pore order.

FIXED POINT THEOREMS FOR THE MODIFIED SIMULATION FUNCTION AND APPLICATIONS TO FRACTIONAL ECONOMICS SYSTEMS

  • Nashine, Hemant Kumar;Ibrahim, Rabha W.;Cho, Yeol Je;Kim, Jong Kyu
    • Nonlinear Functional Analysis and Applications
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    • 제26권1호
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    • pp.137-155
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    • 2021
  • In this paper, first, we prove some common fixed point theorems for the generalized contraction condition under newly defined modified simulation function which generalize and include many results in the literature. Second, we give two numerical examples with graphical representations for verifying the proposed results. Third, we discuss and study a set of common fixed point theorems for two pairs (finite families) of self-mappings. Finally, we give some applications of our results in discrete and functional fractional economic systems.

Development of an Adaptive Neuro-Fuzzy Techniques based PD-Model for the Insulation Condition Monitoring and Diagnosis

  • Kim, Y.J.;Lim, J.S.;Park, D.H.;Cho, K.B.
    • E2M - 전기 전자와 첨단 소재
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    • 제11권11호
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    • pp.1-8
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    • 1998
  • This paper presents an arificial neuro-fuzzy technique based prtial discharge (PD) pattern classifier to power system application. This may require a complicated analysis method employ -ing an experts system due to very complex progressing discharge form under exter-nal stress. After referring briefly to the developments of artificical neural network based PD measurements, the paper outlines how the introduction of new emerging technology has resulted in the design of a number of PD diagnostic systems for practical applicaton of residual lifetime prediction. The appropriate PD data base structure and selection of learning data size of PD pattern based on fractal dimentsional and 3-D PD-normalization, extraction of relevant characteristic fea-ture of PD recognition are discussed. Some practical aspects encountered with unknown stress in the neuro-fuzzy techniques based real time PD recognition are also addressed.

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