• Title/Summary/Keyword: s function

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ASYMPTOTIC BEHAVIOR OF THE INVERSE OF TAILS OF HURWITZ ZETA FUNCTION

  • Lee, Ho-Hyeong;Park, Jong-Do
    • Journal of the Korean Mathematical Society
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    • v.57 no.6
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    • pp.1535-1549
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    • 2020
  • This paper deals with the inverse of tails of Hurwitz zeta function. More precisely, for any positive integer s ≥ 2 and 0 ≤ a < 1, we give an algorithm for finding a simple form of fs,a(n) such that $$\lim_{n{\rightarrow}{\infty}}\{\({\sum\limits_{k=n}^{\infty}}{\frac{1}{(k+a)^s}}\)^{-1}-f_{s,a}(n)\}=0$$. We show that fs,a(n) is a polynomial in n-a of order s-1. All coefficients of fs,a(n) are represented in terms of Bernoulli numbers.

Error Analysis Caused by Using the Dftin Numerical Evaluation of Rayleigh's Integral (레일리 인테그랄의 수치해석상 오차에 대한 이론적 고찰)

  • Kim, Sun-I.
    • Journal of Biomedical Engineering Research
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    • v.10 no.3
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    • pp.323-330
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    • 1989
  • Large bias errors which occur during a numerical evaluation of the Rayleigh's integral is not due to the replicated source problem but due to the coincidence of singularities of the Green's function and the sampling points in Fourier domain. We found that there is no replicated source problem in evaluating the Rayleigh's integral numerically by the reason of the periodic assumption of the input sequence in Dn or by the periodic sampling of the Green's function in the Fourier domain. The wrap around error is not due to an overlap of the individual adjacent sources but berallse of the undersampling of the Green's function in the frequency domain. The replicated and overlApped one is inverse Fourier transformed Green's function rather than the source function.

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A Study on S-Function in SEED Cryptosystem (SEED암호에서 S-함수에 대한 고찰)

  • Yang, Jeong-Mo
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.27 no.6
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    • pp.1295-1305
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    • 2017
  • There is SEED cryptosystem in domestic block cipher standard. This code was drafted by the Korea Information Security Agency (KISA) in October 1998 and underwent a public verification process in December of the same year, which resulted in the final amendment to improve safety and performance. Unlike DES, it is a 128-bit block cipher that has been passed through various processes and established in 2005 as an international standard. It is a block cipher with a pastel structure like DES, but the input bit block has been increased to 128 bits, double DES. In this paper, first, we introduce the general algorithm of SEED cryptosystem and analyzed mathematically generating principle of key-value which is used in F-function. Secondly, we developed a table that calculates the exponent of the primitive element ${\alpha}$ corresponding to the 8-bit input value of the S-function and finally analyzed calculating principle of S-function designed in G-function through the new theorem and example. Through this course, we hope that it is to be suggest the ideas and background theory needed in developing new cryptosystem to cover the weakness of SEED cryptosystem.

On the Role of the Phatic Function of Intonation in Russian (러시아어 발화시 억양의 역할)

  • Park, Kun-Woo
    • Speech Sciences
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    • v.4 no.1
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    • pp.81-89
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    • 1998
  • This paper investigates the phatic function of intonation in Russian by recording and analysing 11 female native speakers of standard Moscow Russian. This paper shows that differences in intonation pattern of a sentence are associated with differences in degree of listener's involvement in the speech. Intonation pattern of an utterance having phatic function appears to be determined by 1) the speaker's readiness to talk to evoke the listener's attention ; 2) the speaker's intention to continue the communication. Some emphasis is placed on the relationship between intonation pattern of an utterance and speaker-listener interaction.

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The Weight Function in the Bounded Influence Regression Quantile Estimator for the AR(1) Model with Additive Outliers

  • Jung Byoung Cheol;Han Sang Moon
    • Communications for Statistical Applications and Methods
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    • v.12 no.1
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    • pp.169-179
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    • 2005
  • In this study, we investigate the effects of the weight function in the bounded influence regression quantile (BIRQ) estimator for the AR(l) model with additive outliers. In order to down-weight the outliers of X -axis, the Mallows' (1973) weight function has been commonly used in the BIRQ estimator. However, in our Monte Carlo study, the BIRQ estimator using the Tukey's bisquare weight function shows less MSE and bias than that of using the Mallows' weight function or Huber's weight function. Thus, the use of the Tukey's weight function is recommended in the BIRQ estimator for our model.

The Relationship Between Young Children's Executive Function and Arithmetic Story Problem Solving Abilities (유아의 실행기능과 수학이야기문제해결력 간의 관계)

  • Cheung, Eun Jin
    • Korean Journal of Childcare and Education
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    • v.15 no.1
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    • pp.37-55
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    • 2019
  • Objective: This study investigated whether executive function has a significant relationship to concrete, picture, and language clue tasks of the arithmetic story problem-solving ability, and its effects. Methods: The participants in the study were 112 young children at childcare centers. The following methods were used to evaluate executive function: Day-Night/Flag-Raising tasks, DCCS tasks, and digit span-reverse digit span methods. To measure the arithmetic story problem-solving ability concrete, picture, and language clue tasks were evaluated. Results: First, the higher the child's age, the higher their executive function and arithmetic story problem-solving abilities were. Second, there is a significant positive correlation between a young child's executive function and arithmetic story problem-solving ability. Third, when the task presentation method varied for concrete, picture, and language clue tasks, the effect of the subordinate factor of the execution function of the arithmetic story problem-solving ability also varied. Conclusion/Implications: Analysis confirmed the relationship between young children's executive function and arithmetic story problem-solving ability. The results are meaningful in showing that the sub-factors of the executive function have different influences on concrete, picture, and language clue tasks of the arithmetic story problem-solving ability.

An Accurate Closed-form Green's Function for the Planar Structure with General Sources (일반적인 전원을 포함하는 평판구조에 대한 정확한 Closed-form 그린함수)

  • Kang Yeon-Duk;Lee Taek-Kyung
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.41 no.6 s.324
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    • pp.79-86
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    • 2004
  • In the integration of Sommerfeld type for space domain Green's function, a accurate closed-from Green's function method provides more exact solution than the typical complex image method and two-level method. The accurate closed-form Green's function method is applied to obtain the space domain Green's functions of planar structures with general sources. Please put the abstract of paper here.

Verification of Validity on the Manual Ability Classification System in Children With Spastic Cerebral Palsy (경직형 뇌성마비 아동의 손 기능 분류 체계의 타당도 검증)

  • Park, Eun-Young
    • The Journal of the Korea Contents Association
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    • v.10 no.1
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    • pp.317-324
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    • 2010
  • The purpose of this study was to examine the validity of the Manual Ability Classification System (MACS) by analysing of relation between MACS and Jebsen-Talyor Hand Function Test. The concurrent validity was examined by calculation of correlation between MACS and Jabsen-Talyor Hand Function test and the discriminant validity was examined by measurement of hand function difference according to MACS level. For this, eighty-one children with spastic cerebral palsy were employed in this study. The children were evaluated by using the MACS and Jebsen-Taylor Hand Function Test for their hand function. There were a significant correlation between the MACS and Hand function (r = .870, p < .05). The good correlation between the MACS and subtest of Jabsen-Talyor Hand function (p < .05). The hand function according to the MACS level were different significantly (p < .05). The MACS is valid classification system for assessment of hand function of children with cerebral palsy. The MACS in practice will provide usefulness for assessment of hand function in children with spastic cerebral palsy.

Approximate Method of Multi-Layer Green's Function Using FDTD Scheme and Rational Function Approximation (FDTD 방법과 분수 함수 근사법을 이용한 다층 구조에서의 Green 함수 근사화)

  • Kim, Yong-June;Koh, Il-Suek;Lee, Yong-Shik
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.22 no.2
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    • pp.191-198
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    • 2011
  • In this paper, a method to approximate a multi-layer Green's function is proposed based on a FDTD scheme and a rational function approximation. For a given horizontal propagation wavenumber, time domain response is calculated and then Fourier transformed to the spectral domain Green's function. Using the rational function approximation, the pole and residue of the Green's function can be estimated, which are crucial for a calculation of a path loss. The proposed method can provide a wideband Green's function, while the conventional normal mode method can be applied to a single frequency problem. To validate the proposed method, We consider two problems, one of which has a analytical solution. The other is about multi-layer case, for which the proposed method is compared with the known normal mode solution, Kraken.