• Journal of Educational Research in Mathematics
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• v.22 no.1
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• pp.23-38
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• 2012

The purpose of this paper is to describe the true meaning of smooth curve and to let people understand the smooth curve by way of velocity. It is true that it is not easy for us to perceive smooth curve because when there are no cups in the curve and the shape of the curve looks smooth, we often perceive it is smooth curve. However, even when the shape of curve looks smooth, it happens that it is not smooth curve. When the particle moves on the curve, depending on the velocity, it can be smooth curve or not. That is, even though the shape looks smooth, when the velocity is discontinuous or it is 0, it is not smooth curve. Therefore, this paper shows that it is important to understand and to teach smooth curve by way of velocity. In other words, when parameter of path for the smooth curve is taught in the calculus of high school, it needs to be understood by way of velocity. Finally, this paper tries to suggest that we need to shift our paradigm in teaching of smooth curve from fixed curve to dynamic curve.

• The Korean Journal of Applied Statistics
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• v.30 no.5
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• pp.665-679
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• 2017

When measuring productive efficiency, often it is necessary to have knowledge of the production frontier function that shows the maximum possible output of production units as a function of inputs. Canonical parametric forms of the frontier function were initially considered under the framework of stochastic frontier model; however, several additional nonparametric methods have been developed over the last decade. Efforts have been recently made to impose shape constraints such as monotonicity and concavity on the non-parametric estimation of the frontier function; however, most existing methods along that direction suffer from unnecessary non-smooth points of the frontier function. In this paper, we propose methods to estimate the smooth frontier function with monotonicity for stochastic frontier models and investigate the effect of imposing a monotonicity constraint into the estimation of the frontier function and the finite dimensional parameters of the model. Simulation studies suggest that imposing the constraint provide better performance to estimate the frontier function, especially when the sample size is small or moderate. However, no apparent gain was observed concerning the estimation of the parameters of the error distribution regardless of sample size.

• Proceedings of the KAIS Fall Conference
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• 2005.05a
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• pp.67-70
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• 2005

[ $a-Fe/Nd_2Fe_{14}B$ ]기 이상나노복합합금(two-phase nanocompositie alloy)의 자기적 특성 향상을 위하여, $Nd_9Fe_{84}B_7$ 조성의 합금을 급속 응고법과 등온열처리를 이용하여 제조한 후, 공정 조건의 변화에 따른 상, 미세조직, 자기특성의 변화 등을 조사하였다. 주어진 Nd-Fe-B 삼원계 합금을 35 m/s 이상에서 급랭 응고하였을 때 완전한 비정질 합금을 얻을 수 있었으며, 최적 자기특성을 얻기 위한 적정 열처리 구역은 $700^{\circ}C$/10 - 15분, 725$^{\circ}C$/7 - 12분, $750^{\circ}C$/5 - 7분으로 조사되었다. 이 구역들에서 열처리된 합금들은 모두 매끄러운 감자곡선(demagnetization curve)을 나타내, a-Fe와 $Nd_2Fe_{14}B$사이의 교환상호결합이 잘 일어나고 있음을 알 수 있었으며, 이때 a-Fe와 $Nd_2Fe_{14}B$의 평균 입자 크기는 각각 약 10nm와 40$\~$60 nm였다. 한편 상 전개의 차이에도 불구하고 열처리 후에는 모든 합금들이 $60\%$ 이상의 $M_r/M_s$ 비율을 나타내 열처리 조건의 변화에 관계없이 교환상호작용은 일어나고 있음을 알 수 있었다.

• Journal of the Korea Society of Computer and Information
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• v.16 no.8
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• pp.85-93
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• 2011

In this paper, we analyzed the function elements of the Integrated meter reading system based on PLC which is working in Mok-dong, Seoul and studied how to improve the vulnerability. Also we propose an efficient method for the estimation of abnormal life status through frequency domain processing of utility meter readings. We found out that even after removing the high-frequency components from the raw meter data, the shape of the graph still maintains the original graph characteristics. The graph of the inverse transformed data has simpler and smoother curve than the original graph pattern. The original graph is not good to be used in deciding whether the residence's life pattern is normal or not. We could find out that the graph which is processed frequency signal has simple and intuitive graph pattern.