• 한국CDE학회논문집
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• 제4권4호
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• pp.312-317
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• 1999

An inflection point on a curve is a point where the curvature vanishes. An inflection point is useful for various geometric operations such as the approximation of curves and intersection points between curves or curve approximations. An inflection point on planar Bezier curves can be easily detected using a hodograph and a derivative of hodograph, since the closed from of hodograph is known. In the case of rational Bezier curves, for the detection of inflection point, it is needed to use the first and the second derivatives have higher degree and are more complex than those of non-rational Bezier curvet. This paper presents three methods to detect inflection points of rational Bezier curves. Since the algorithms avoid explicit derivations of the first and the second derivatives of rational Bezier curve to generate polynomial of relatively lower degree, they turn out to be rather efficient. Presented also in this paper is the theoretical analysis of the performances of the algorithms as well as the experimental result.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제29권4호
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• pp.353-368
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• 2022

In the previous paper [4], we classified the Weierstrass semigroups at a pair of inflection points of multiplicities d and d - 1 on a smooth plane curve of degree d. In this paper, as a continuation of those results, we classify all semigroups each of which arises as a Weierstrass semigroup at a pair of inflection points of multiplicities d, d - 1 and d - 2 on a smooth plane curve of degree d.

• 농업과학연구
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• 제43권4호
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• pp.623-633
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• 2016

A total of 6,973 steer growth records of Hanwoo breeding bull's progeny test data collected from 1989 to 2015 were analyzed to identify the most appropriate growth curve among three growth curve models (Gompertz, Logistic and von Bertalanffy). The Gompertz growth curve model equation was $W_t=990.5e^{{-2.7479e}^{-0.00241t}}$, the Logistic growth curve model equation was $W_t=772(1+8.3314e^{-0.00475t})^{-1}$, and the von Bertalanffy growth curve model equation was $W_t=1,196.4(1-0.646e^{-0.00162t})^3$. The Gompertz model parameters A, b, and k were estimated to be $990.5{\pm}10.27$, $2.7479{\pm}0.0068$, and $0.00241{\pm}0.000028$, respectively. The inflection point age was estimated to be 421 days and the weight of inflection point was 365.3 kg. The Logistic model parameters A, b, and k were estimated to be $772.0{\pm}4.12$, $8.3314{\pm}0.0453$, and $0.00475{\pm}0.000033$, respectively. The inflection point age was estimated to be 445 days and the weight of inflection point was 385.0 kg. The von Bertalanffy model parameters A, b, and k were estimated to be $1196.4{\pm}18.39$, $0.646{\pm}0.0010$, and $0.00162{\pm}0.000027$, respectively. The inflection point age was estimated to be 405 days and the weight of inflection point was 352.0 kg. Mature body weight of the von Bertalanffy model was 1196.4 kg, the Gompertz model was 990.5 kg, and the Logistic model was 772.0 kg. The difference between actual and estimated weights was similar in the Logistic model and the von Bertalanffy model. The difference between market weight and estimated market weight was the lowest in the Gompertz model. The growth curve using the von Bertalanffy model showed the lowest mean square error.

• 대한수학회보
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• 제44권2호
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• pp.369-378
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• 2007

We classify all semigroups each of which arises as a Weierstrass semigroup at a pair of inflection points of multiplicities d or d-1 on a smooth plane curve of degree d.

• 한국지반공학회:학술대회논문집
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• 한국지반공학회 2000년도 가을 학술발표회 논문집
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• pp.681-688
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• 2000

This study presented the new method for evaluating the coefficient of consolidation by using inflection point method which was based on the fact that time factor, T corresponding to the inflection point of a semilogarithmic plot of a time curve is fixed and equals to T ＝ 0.405 at 70% consolidation. In the proposed method, the next load increment is applied as soon as the necessary time required to identify the inflection point. Thus, the coefficient of consolidation may be easily evaluated. The time required to complete the testing using this rapid consolidation method could be as low as 1.5-3 hours compared with 1 or 2 weeks in the case of the conventional consolidation test.

• Journal of Animal Science and Technology
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• 제46권4호
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• pp.503-508
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• 2004

본 연구는 돼지의 일령별 체중자료를 이용한 개체별 체중 성장곡선 추정을 통해 성장 특성을 조사하고 육질 형질과의 상관 관계를 규명하고자 실시하였다. 축산연구소의 재래돼지와 랜드레이스를 기초축으로 조성한 F2집단 253두를 대상으로 일령별 체중기록과 육질 형질을 측정하여 개체별 성장곡선 모수와 성장 특성치를 추정하고 등지방 두께, 조지방 함량, 지방율 및 전단력과 성장곡선 모수간의 표현형 상관관계를 추정하였다. 대부분의 성장 특성치들은 기존 연구에서 제시된 재래돼지와 랜드레이스순종의 중간정도 능력을 나타내었으며, 상관관계의 추정 결과 조숙성의 개체일수록 성숙체중이 작았으며 만숙성인 개체일수록 지속적인 성장률의 증가로 인해 변곡점이 나타나는 월령이 늦어지며 최대 증체율이 커지는 것으로 나타났다. 성장곡선 모수와 육질형질 측정치들간의 상관 관계는 암수간에 일부에서 다소 상반되는 방향으로 추정되었으며 특히 전단력의 경우 모든 성장 특정치들과의 관계가 반대로 추정되었다. 최대 증체율과 등지방 두께 및 조지방 함량과의 상관은 비교적 높은 정의 상관정도를 보여 최대 증체율이 클수록 등지방 두께와 조지방 함량이 높아지는 것으로 나타났다.

• 대한전자공학회논문지SP
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• 제42권4호
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• pp.127-132
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• 2005

가상현실을 이용한 사람의 빠른 움직임을 추출하여 파형으로 나타내는 동작곡선이나 자연계에서 실제로 관측되는 대기 전기변동량과 같은 전자계 신호의 시간 변동량은 매우 복잡하다. 이러한 신호의 관측파형에 대하여 변곡점과 같은 신호의 특징을 정확히 결정하는 것이 중요하다. 잡음이 신호에 중첩될 때 종래의 방법으로는 변곡점의 검출이 어렵다. 본 논문에서는 신호에 잡음이 첨가될 때 웨이브릿 임계치 잡음제거와 정규형 자연관측필터를 적용하여 정확한 변곡점 추출이 가능함을 보인다.

• 한국지반공학회논문집
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• 제18권4호
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• pp.85-93
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• 2002

본 연구에서는 Cour(1971)가 제안한 변곡점법(Inflection Point Method)을 이용하여 압밀계수를 예측하기 위한 새로운 방법을 소개하였다. 여기서, 변곡점은 압밀도(U)와 시간계수(log T) 관계곡선의 변곡점 중에서 압밀도($U_i$)가 70.03% 일 때의 시간계수 $T_i$=0.405에 상응하는 점이다. 제안된 변곡점법에 의한 신속한 압밀시험 방법에서 각 단계별 하중재하는 변곡점을 확인한 직후에 이루어지므로 압밀시험에 소요되는 시간을 단축시킬 수 있으며, 압밀계수를 빠른 시간 내에 쉽게 구할 수 있다. 이 신속한 압밀시험법에 소요되는 시간은 기존의 압밀시험의 경우 1주 또는, 2주의 기간이 소요되는데 비하여 0.5시간~9시간이 소요되므로 압밀시험을 보다 신속히 완료할 수 있다. 본 연구에서는 보다 정규화된 결과를 얻고자 침강장치를 고안하였으며, 그 결과의 분석에서 비 교란시료의 압밀정수들과 잘 부합하는 것으로 나타났다.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제23권3호
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• pp.309-317
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• 2016

As a generalization of an inflection point, we consider a point P on a smooth plane curve C of degree m at which another curve C' of degree n meets C with high intersection multiplicity. Especially, we deal with the existence of two curves of degree m and n meeting at the unique point.

• Advances in environmental research
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• 제1권4호
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• pp.237-255
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• 2012

We review the research literature on relationship between environmental regulation and industrial development in three aspects of environmental regulation and investment, environmental regulation and efficiency, environmental regulation and trade. Indeed, the linkage between environmental regulation and material consumption of industrial system is absent. Environmental regulation is measured as the expenditure share for industrial pollutants abatement, and effluent charge intensity. Using panel-level data from 31 provinces, municipalities and autonomous regions in China, we build correlation models between material consumption and environmental regulation, results show that: (1) there are significant quadratic function relationship between material consumption and environmental regulation. And there is the fact that inflection point exists. (2) On basis of inflection points, we make two remarkable reflections. Firstly, the inflection points are the most important scale to judge reasonability and performance of regulations. Secondly, a Pareto improvement may occur when the regulations achieve a certain target. (3) Both intensities of industrial pollutants abatement expenditure and effluent charge have not yet achieved the expected target in most regions of mainland China at present. And most of regions of material consumption decreasing are distributed in western China. Main reasons lie in the impacts of industrial features as well as the regulations.