• 전자공학회논문지B
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• 제31B권5호
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• pp.88-94
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• 1994

Inverse Chebyshev function can realize the same order of Chebyshev function nuder the same specification. In general, inverse Chebyshev function has the preferable characteristics in terms of the delay characteristics and the time-domain performances compare with Chebyshev function. However, for the even order n, inverse Chebyshev function does not realize in the doubly-terminated ladder network which has preferable sensitivity characteristics because of the finite value at ${\omega}={\infty}$. In this paper, the modified inverse Chebyshev function with $\mid$H($j^{\infty}$$\mid$=0 s proposed to realize the passive doubly-terminated ladder network for the n even or odd. The modified inverse Chebyshev function characteristics ars studied in the frequency and time domain, and then, realize the passive doubly-terminated ladder network.

• 한국수학교육학회지시리즈A:수학교육
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• 제55권3호
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• pp.335-355
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• 2016

The purpose of this study is to analyze tasks to find intersection points of a function and its inverse function. To do this, we produced a task and 64 people solved the task. As a result, most people had a cognitive conflict related to inverse function. Because of over-generalization, most people regarded intersection points of a function and y=x as intersection points of a function and its inverse. To find why they used the method to find intersection points, we investigated 10 mathematics textbooks. As a result, 23 tasks were related a linear function, quadratic function, or irrational function. 21 tasks were solved by using an equation f(x)=x. 3 textbooks presented that a set of intersection points of a function and its inverse was not equal to a set of intersection points of a function and y=x. And there was no textbook to present that a set of intersection points of a function and its inverse was equal to a set of intersection points of $y=(f{\circ}f)(x)$ and y=x.

• 전자공학회논문지C
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• 제34C권5호
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• pp.33-42
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• 1997

In this paper, the modified inverse chebyshev low-pass function is analyzed in the frequency domain, time domain, and sensitivity characteristics as compared with the classical inverse chebyshev function. Unlike the classical function, the modified function exhibits progressively diminishing ripples in the stopband. So, the modified function has a great attenuation throughout the stopband except at the vicinity of a stop frequency and can be realizable in the passive doubly-terminated ladder network for the even order. The poles of the modified function move towards real axis by the effect of diminishing ripples. Thus the pole-Q, which is one of the valuable measurements to estimage the function characteristics, is reduced without increasing order. In the frequency and can be realizable in the passive doubly-terminated ladder network to examine the magnitude and pole-Q sensitivities.

• 항공우주기술
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• 제13권2호
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• pp.99-107
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• 2014

다목적실용위성 2호/3호 위성자료를 이용하여 지상좌표를 결정하는 방법은 Physical Model과 RFM(Rational Function Model)의 두 가지 종류가 있다. 일반적으로 사용자에게 제공되는 모델은 RFM을 기반으로 한 RPCs(Rational Function Coefficients)이며, 이때 제공되는 RPCs는 지상좌표에서 영상좌표를 계산하는 계수이다. 사용자가 정사영상을 만들 경우에는 이 계수가 유용하나, 영상에서 임의의 영상기준점에 대응하는 지상좌표를 계산하거나, 위치정확도를 확인하기는 매우 어렵다. 본 논문은 다목적실용위성에서 제공되는 RPCs를 기반으로 Inverse RPCs를 해석하는 알고리즘과 해석된 Inverse RPCs를 기반으로 지상표고를 고려한 정밀 지상좌표 해석 알고리즘을 기술하고자 한다. 또한 Inverse RPCs의 해석된 정밀지상좌표 정확도와 Physical Model과의 차이를 계산하여 정확도를 평가하고자 한다.

• 한국정밀공학회지
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• 제15권5호
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• pp.28-33
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• 1998

In monitoring and diagnosing machinery with gear trains, gear meshing force are the important signature indicating the operating condition. The gear meshing forces, however, are extremely difficult to be measured while gears are rotating. One easy possible way is to measure vibrations which are produced and transferred by the gear meshing forces. While the gear meshing forces are traveling, the force waveforms are shaped by the path transfer function. In the paper, the way to recover the source waveform by eliminating the path effects is discussed using inverse filter.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제18권2호
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• pp.157-160
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• 2011

Main purpose of this note is to construct an example of a continuous one-to-one function f : ${\mathbb{Q}}^*{\rightarrow}{\mathbb{R}}$ whose inverse is nowhere continuous, and to show that the completeness is not necessary for the continuous inverse theorem.

• 정보보호학회논문지
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• 제15권6호
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• pp.105-110
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• 2005

유한체에서 정의된 선형 다항식의 역원은 함수 거 일반화로 볼 수 있으므로, 암호학적 응용에서 유용한 부울 하수를 설계하는 데 좋은 후보가 될 수 있다 특히, Crypto 2001에서는 선형 다항식 및 선형 부호를 이용하여 큰 대수적 차수를 가지는 resilient 함수를 설계하는 방법이 제안되었다. 그러나 Crypto 2001에서 대수적 차수를 분석한 결과에 오류가 있었으며, 본 논문에서 정확한 대수적 차수를 제시한다.

• 호남수학학술지
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• 제42권4호
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• pp.781-794
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• 2020

In this article, we investigate the upper bounds on the coefficients for inverse of functions belongs to certain classes of univalent functions and in particular for the functions convex in one direction. Bounds on the Fekete-Szegö functional and third order Hankel determinant for these classes have also investigated.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제28권4호
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• pp.281-296
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• 2021

In this paper, we suggest a representation for an inverse transform of the generalized Fourier-Feynman transform on the function space C_a,b[0, T]. The function space C_a,b[0, T] is induced by the generalized Brownian motion process with mean function a(t) and variance function b(t). To do this, we study the generalized Fourier-Feynman transform associated with the Gaussian process Ƶ_k of exponential-type functionals. We then establish that a composition of the Ƶ_k-generalized Fourier-Feynman transforms acts like an inverse generalized Fourier-Feynman transform.

• 한국통신학회논문지
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• 제12권2호
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• pp.83-91
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• 1987

본 논문에서는 Chebyshev함수로 부터 확장된 inverse Chebyshev함수를 유도하였고, 통과대역 감쇠율 Ap(dB)=0.1, 0.2, 0.5, 1.0, 2.0, 3.0과 저지대역 주파수 Ws(rad/s)=1.2, 1.3, 1.4, 1.5, 1.6에 따른 n=5.6의 규순화된 2차식 계수값을 제시하였으며 그림3의 (c), (d)에서 보는 바와 같이 inverse Chebyshev 전달함수로부터 구한 저역통과필터는 통과대역에서 최대평탄도를, 저지대역에서 등파상을 가지는 크기 특성을 나타내었다. 또한 실제적인 회로 시뮬레이션을 통하여 크기와 손실 특성을 나타내고 그 소자치도 제시하였다.