• Title/Summary/Keyword: curve

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Quantization of the Crossing Number of a Knot Diagram

  • KAWAUCHI, AKIO;SHIMIZU, AYAKA
    • Kyungpook Mathematical Journal
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    • v.55 no.3
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    • pp.741-752
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    • 2015
  • We introduce the warping crossing polynomial of an oriented knot diagram by using the warping degrees of crossing points of the diagram. Given a closed transversely intersected plane curve, we consider oriented knot diagrams obtained from the plane curve as states to take the sum of the warping crossing polynomials for all the states for the plane curve. As an application, we show that every closed transversely intersected plane curve with even crossing points has two independent canonical orientations and every based closed transversely intersected plane curve with odd crossing points has two independent canonical orientations.

A Study on the Design Criteria of the Alignment in the Curve for Urban Rail Transit (국내ㆍ외 현황 분석을 통한 도시철도 곡선부 선로선형 설계기준 연구)

  • 신정렬;홍재성;이우동;김길동;한석윤;양신추
    • Journal of the Korean Society for Railway
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    • v.6 no.3
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    • pp.203-208
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    • 2003
  • With designing alignment of railway for urban rail transit, a greater attention is paid to the riding safety and the comfort of the passengers. Especially, cant, transition curve, minimum curve radius are considered as very important alignment factors for the curve. For the above alignment factors, in this study, comparative studies on the design criteria of foreign rail transit are conducted. And reasonable design criteria of the alignment for urban rail transit are proposed.

Evaluation on elastic-plastic fracture resistance curve of SA508C-3 and aluminum alloy steels by load-ratio method (Load-ratio 법에 의한 SA508C-3와 알루미늄 합금의 탄소성 파괴저항 곡선평가)

  • Yoon, H. K.
    • Journal of Ocean Engineering and Technology
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    • v.10 no.2
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    • pp.98-105
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    • 1996
  • A method is proposed to evaluate the elastic-plastic fracture resistance curve only with load displacement records without the crack length measurement in CT specimen. This method is based on the idea that the effect of plastic deformation and the crack growth can be measured only by using a load-displacement record. If we know the reference-load curve representing the hardening of specimen, then the crack extension can be calculated by the elastic compliance determined from the load ratio. The results of this proposed method were compared to those of the elastic-plastic fracture resistance curve for the ASTM standard unloading compliance method. The experimental results for two kinds of ductile materials showed that the proposed method well simulates the material J-R curves. This method is currently applied for CT specimens. but it can be extended to the other specimen geometries.

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Changes of Recloser's TC Curve for the Improvement of Distribution Line Protection Coordination (배전선로 보호협조 개선을 위한 리클로져 TC커브 변경)

  • Lee, Jung-Ho;Ha, Bok-Nam;Cho, Ham-Hun
    • Proceedings of the KIEE Conference
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    • 1998.07c
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    • pp.964-966
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    • 1998
  • The TC curve of recloser which used in KEPCO's distribution line is a little different in a pattern with the TC curve of sub-station OCR. So it sometimes fails in protection coordination. And the recloser sometimes does mis-open/close owing to the inrush current of CB reclosing when a fault occurred on the source-side of the recloser. The mis-open/close is another trouble maker. This Paper Present a new delay TC curve of recloser which has the same pattern with the TC curve of OCR, and a new instantaneous TC curve of recloser which doesn't mal-function to the inrush current. In addition, this paper present another two TC curves for the serial positioning of 2 reclosers. So we accomplished the simple protection coordination of OCR-recloser-fuse.

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Inference and Forecasting Based on the Phillips Curve

  • KIM, KUN HO;PARK, SUNA
    • KDI Journal of Economic Policy
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    • v.38 no.2
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    • pp.1-20
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    • 2016
  • In this paper, we conduct uniform inference of two widely used versions of the Phillips curve, specifically the random-walk Phillips curve and the New-Keynesian Phillips curve (NKPC). For both specifications, we propose a potentially time-varying natural unemployment (NAIRU) to address the uncertainty surrounding the inflation-unemployment trade-off. The inference is conducted through the construction of what is known as the uniform confidence band (UCB). The proposed methodology is then applied to point-ahead inflation forecasting for the Korean economy. This paper finds that the forecasts can benefit from conducting UCB-based inference and that the inference results have important policy implications.

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Evaluation of Tilting Trains Speed in Conventional Railways Curves Considering Passenger′s Comfort in Transition Area (기존선 완화곡선부의 승차감을 고려한 틸팅차량의 곡선부 제한속도 평가)

  • 엄주환;엄기영;여인호;유영화
    • Journal of the Korean Society for Railway
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    • v.7 no.4
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    • pp.360-366
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    • 2004
  • The purpose of this paper is to present the alignment layout and the way of modifying transition curve for better operation of tilting trains. It is based on data from field investigation of all curves in conventional line. In general, all curves have transition parts in the beginning and end of the main curve in order to improve the passenger's comfort. The speed-up of conventional line may need an extention of transition curves. This paper checked out whether the transition curve should be modified or not and how to lengthen it. Then the maximum train speeds in curve prior to and after the modification of transition curve were evaluated.

Geometric Fitting of Parametric Curves and Surfaces

  • Ahn, Sung-Joon
    • Journal of Information Processing Systems
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    • v.4 no.4
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    • pp.153-158
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    • 2008
  • This paper deals with the geometric fitting algorithms for parametric curves and surfaces in 2-D/3-D space, which estimate the curve/surface parameters by minimizing the square sum of the shortest distances between the curve/surface and the given points. We identify three algorithmic approaches for solving the nonlinear problem of geometric fitting. As their general implementation we describe a new algorithm for geometric fitting of parametric curves and surfaces. The curve/surface parameters are estimated in terms of form, position, and rotation parameters. We test and evaluate the performances of the algorithms with fitting examples.

A Proposal on the Stress-Strain Curve of Stainless Steel STS 304 (STS 304 스테인리스강의 응력도-변형도 곡선에 관한 제안)

  • Shin, Tae Song
    • Journal of Korean Society of Steel Construction
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    • v.18 no.2
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    • pp.271-278
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    • 2006
  • This paper is to investigate into the stress-strain curves for austenite stainless steel STS 304 over the full strain range. The Ramberg-Osgood expression is useful up to the beyond the0.2% proof stress in the ultimate state. The Rasmussen curve has developed for stresses beyond 0.2% proof stress, based on the Ramberg-Osgood concept. These expressed curves don't good agree with the test results. It is here proposed the based on the analysis of the test results better curve.

Construction of a Design Curve for Fatigue Model Using Bootstrap Method (붓스트랩방법을 이용한 피로모형의 설계곡선 설정)

  • 서순근;조유희
    • Journal of Korean Society for Quality Management
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    • v.30 no.4
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    • pp.106-119
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    • 2002
  • The fatigue curve with estimated parameters represents the estimate of the median or mean life at a given applied stress But, in order to assist a designer in making decisions regarding the fatigue failure mode, it is common practice to construct a design curve on the lower or safe side of data. In this study, to overcome the limitations(i.e., no runout, equal variance, and quality of the approximation, etc) of Shen, Wirsching, and Cashman's method which suggested the approximate design curve for nonlinear models using tolerance interval constructed by Owen's method, an algorithm to find design curves under the fatigue model using a parametric bootstrap method, is proposed and illustrated with multiple fatigue data sets.

A Study on the Design and Manufacturing of Cycloid Gear (사이클로이드 기어 설계 및 가공에 관한 연구)

  • Kim, Sung-Chul;Chung, Won-Jee;Cho, Seung-Rae;Lee, Choon-Man
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.9
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    • pp.48-53
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    • 1999
  • In this paper, a practical method for design and machining of cycloid gear was investigated. Based on the proposed method, a systematic program was developed for automatically designing the tooth profiles of epicycloid and hypocycloid gears for the case fo one difference between the number of teeth of cycloid gear and the number coordinates of tooth profiles and pressure angles. The error analysis between cycloid curve and Biarc curve was performed to show the effective method of equidistant partitioning of cycloid curve so that efficient method of Biarc curve fitting was also proposed for the partitioned curve.

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