• Title/Summary/Keyword: Interesting

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THE n-TH TWISTED CHANGHEE POLYNOMIALS AND NUMBERS

  • Rim, Seog-Hoon;Park, Jin-Woo;Pyo, Sung-Soo;Kwon, Jongkyum
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.3
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    • pp.741-749
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    • 2015
  • The Changhee polynomials and numbers are introduced in [6]. Some interesting identities and properties of those polynomials are derived from umbral calculus (see [6]). In this paper, we consider Witt-type formula for the n-th twisted Changhee numbers and polynomials and derive some new interesting identities and properties of those polynomials and numbers from the Witt-type formula which are related to special polynomials.

A NEW CLASS OF INTEGRALS INVOLVING HYPERGEOMETRIC FUNCTION

  • Arjun K. Rathie;Choi, June-Sang;Vishakha Nagar
    • Communications of the Korean Mathematical Society
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    • v.15 no.1
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    • pp.51-57
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    • 2000
  • The aim of this research is to provide twenty five integrals involving hypergeometric function in the form of a single integral. Fifty two interesting integrals follow as special cases of our main findings. These results are obtained with the help of generalized Watson's theorem on the sum of a $_3$F$_2$ recently obtained by Lavoie, Grondin and Rathie. The integrals given in this paper are simple, interesting and easily established, and they may be useful.

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SOME IDENTITIES ASSOCIATED WITH 2-VARIABLE TRUNCATED EXPONENTIAL BASED SHEFFER POLYNOMIAL SEQUENCES

  • Choi, Junesang;Jabee, Saima;Shadab, Mohd
    • Communications of the Korean Mathematical Society
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    • v.35 no.2
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    • pp.533-546
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    • 2020
  • Since Sheffer introduced the so-called Sheffer polynomials in 1939, the polynomials have been extensively investigated, applied and classified. In this paper, by using matrix algebra, specifically, some properties of Pascal and Wronskian matrices, we aim to present certain interesting identities involving the 2-variable truncated exponential based Sheffer polynomial sequences. Also, we use the main results to give some interesting identities involving so-called 2-variable truncated exponential based Miller-Lee type polynomials. Further, we remark that a number of different identities involving the above polynomial sequences can be derived by applying the method here to other combined generating functions.

Development of Quiz Solving System using DDR Game (DDR게임을 활용한 퀴즈풀이 학습시스템 개발)

  • Jeon, Hyeon-seo;Yun, Chan-young;Um, Tae-woong
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2018.05a
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    • pp.383-386
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    • 2018
  • Interesting and focused learners are attracting more and more interesting and efficient learning methods. Research on game-based learning that converges information and communication technology in accordance with this trend is being attempted. I want to take advantage of the characteristics of the game that enhance the concentration. However, if you play a game, you may get less exercise. Therefore, in this paper, we have designed and implemented a system that improves fitness and improves the performance by using Dance Dance Revolution (DDR) to fuse games and sports.

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CERTAIN UNIFIED INTEGRALS INVOLVING A PRODUCT OF BESSEL FUNCTIONS OF THE FIRST KIND

  • Choi, Junesang;Agarwal, Praveen
    • Honam Mathematical Journal
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    • v.35 no.4
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    • pp.667-677
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    • 2013
  • A remarkably large number of integrals involving a product of certain combinations of Bessel functions of several kinds as well as Bessel functions, themselves, have been investigated by many authors. Motivated the works of both Garg and Mittal and Ali, very recently, Choi and Agarwal gave two interesting unified integrals involving the Bessel function of the first kind $J_{\nu}(z)$. In the present sequel to the aforementioned investigations and some of the earlier works listed in the reference, we present two generalized integral formulas involving a product of Bessel functions of the first kind, which are expressed in terms of the generalized Lauricella series due to Srivastava and Daoust. Some interesting special cases and (potential) usefulness of our main results are also considered and remarked, respectively.

Worst Case Analysis for General Conventional Linear Regulator (일반적인 재래식 선형 전압 조절기의 최악 조건 해석)

  • Lee, Yun-Ki;Kwon, Ki-Ho;Choi, Seung-Woon;Lee, Sang-Kon
    • Aerospace Engineering and Technology
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    • v.8 no.1
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    • pp.162-171
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    • 2009
  • Linear regulator for generating various voltages in satellite electronics is implemented with radiation harden regulator chips or simple linear regulator circuits. For implementing linear regulator circuits, the detail design can be various. But the worst case analysis method and interesting analysis items for the linear regulator circuits can be generalized. So this paper describes and summarizes the general worst case analysis method and interesting analysis items for the conventional linear regulator circuits.

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Hand motion estimation for interactive image composition (상호작용 영상합성을 위한 손의 움직임 추정)

  • Koo, Ddeo-Ol-Ra;Seo, Yung-Ho;Doo, Kyoung-Soo;Choi, Jong-Soo
    • Proceedings of the IEEK Conference
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    • 2008.06a
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    • pp.951-952
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    • 2008
  • This paper proposes a new method for image composition which estimates the rotation angle of human hand and uses the reserved image in real-time camera images. First, we capture a background image and extract a interesting region by background subtraction. Next, we estimate the skin region from the interesting region and calculate the rotation angle of estimated skin region using PCA(Principal Components Analysis). Finally, we composite the reserved image for the calculated rotation angle in camera images. The proposed method can be applied to control the 3D avatar for marker-less augmented reality.

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Calculus Reform Movement and A Study on the College Calculus (미적분학 개혁운동과 미적분강좌의 방향 연구)

  • Choi, Eun-Mi
    • The Mathematical Education
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    • v.48 no.1
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    • pp.47-59
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    • 2009
  • Recently our society confronts with the concern over the college students' apparent lack of understanding and interesting of mathematics. In late 1980s the calculus reform movement in US was triggered to increase both passing rates and a general interest in the subject. The purpose of this paper is to investigate teaching of college calculus and its curriculum in order to promote students' interesting and understanding. We deal with 4 questions. Firstly, we research the history and motivation of the calculus reform movement in US. Secondly, we do case study about the debate between reformed and traditional calculus. Then we evaluate the effectiveness of reformed calculus in comparison to traditional calculus. Finally we investigate possible ways to apply reformed calculus in our university mathematics education and suggest some points to improve teaching calculus.

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Interesting Foreign Bodies in the air way. (흥미 있는 기도 이물 3 례)

  • 박옥희;천만희;조중환
    • Proceedings of the KOR-BRONCHOESO Conference
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    • 1982.05a
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    • pp.7.1-7
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    • 1982
  • We have recently experienced three interesting foreign bodies in the air way. Case 1. A spring coil of ball pen which was rusty and divided into two for one year was in the right inferior lobar bronchus of a 10 year old boy. Case 2. A bean lodged on the orifice of the right upper lobar bronchus and right middle lobar bronchus, resulted in complete atelectasis of the right upper and middle lobes of a 6 month old girl. Cases 3. A wire used in fixing a pair of socks was hanged transeversely for one month between epiglottis and hypopharynx of a 11 month old boy.

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A method for Sound Quality Evaluation of Non-stationary Acoustic Signal (과도 음향 신호의 음질 평가 방법)

  • 신성환;이정권
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.05a
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    • pp.1009-1012
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    • 2004
  • Recently, the concern on sound qualify (SQ) is on the steep increase in the fields of vehicle and home appliance and over the fast few decades a considerable number of studies have been conducted on SQ evaluation. As a result, basic procedure for SQ evaluation has been already suggested. Although most interesting sounds have time-varying features, however, little is known about their SQ evaluation. The purpose of this study is to systematize a method for SQ evaluation of non-stationary sound. For this, various listening tests procedure for non-stationary sound is introduced and it is attempted to find out correlation between various SQ metrics and subjective data obtain from listening test. Booming of car interior noise in acceleration is used as an example and finally, representative value is obtained for the interesting sensation of non-stationary sound.

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