• 제목/요약/키워드: regular function

검색결과 622건 처리시간 0.032초

Admissible Estimation for Parameters in a Family of Non-regular Densities

  • Byung Hwee Kim;In Hong Chang
    • Communications for Statistical Applications and Methods
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    • 제2권2호
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    • pp.52-62
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    • 1995
  • Consider an estimation problem under squared error loss in a family of non-regular densities with both terminals of the support being decreasing functions of an unknown parameter. Using Karlin's(1958) technique, sufficient conditions are given for generalized Bayes estimators to be admissible for estimating an arbitrarily positive, monotone parametric function and then treat some examples which illustrate our results.

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PROPERTIES OF REGULAR FUNCTIONS WITH VALUES IN BICOMPLEX NUMBERS

  • Kim, Ji Eun;Shon, Kwang Ho
    • 대한수학회보
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    • 제53권2호
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    • pp.507-518
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    • 2016
  • In this paper, using forms of conjugations, we give some algebraic properties of bicomplex numbers. We research differential operators, elementary functions and the analogous Cauchy-Riemann system in bicomplex number systems. Also, we investigate the definition and properties of regular functions with values in bicomplex settings in Clifford analysis.

NEW CONGRUENCES FOR ℓ-REGULAR OVERPARTITIONS

  • Jindal, Ankita;Meher, Nabin K.
    • 대한수학회지
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    • 제59권5호
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    • pp.945-962
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    • 2022
  • For a positive integer ℓ, $\bar{A}_{\ell}(n)$ denotes the number of over-partitions of n into parts not divisible by ℓ. In this article, we find certain Ramanujan-type congruences for $\bar{A}_{r{\ell}}(n)$, when r ∈ {8, 9} and we deduce infinite families of congruences for them. Furthermore, we also obtain Ramanujan-type congruences for $\bar{A}_{13}(n)$ by using an algorithm developed by Radu and Sellers [15].

2차원 진행규칙파열에서의 쇄파현상에 따른 비선형성 파의 특성에 관한 수치적 연구 (Computational Study on the Characteristics of Nonlinear Wave Caused by Breaking Waves of Two-Dimensional Regular Periodic Wave)

  • 박종천;관전수명
    • 한국해양공학회지
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    • 제10권3호
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    • pp.50-61
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    • 1996
  • The breaking phenomenon of regular periodic waves generated by a numerical wave maker is simulated by finite-difference method which can cope with strong interface motions. The air and water flows are simultaneously solved in the time-marching solution procedure for the Navier-Stokes equation. A density-function technique is devised for the implemenation of the interface conditions. The accuracy is examined and applied to the simulation of two-dimensional breaking phenomena of periodic gravity waves.

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SECOND ORDER REGULAR VARIATION AND ITS APPLICATIONS TO RATES OF CONVERGENCE IN EXTREME-VALUE DISTRIBUTION

  • Lin, Fuming;Peng, Zuoxiang;Nadarajah, Saralees
    • 대한수학회보
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    • 제45권1호
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    • pp.75-93
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    • 2008
  • The rate of convergence of the distribution of order statistics to the corresponding extreme-value distribution may be characterized by the uniform and total variation metrics. de Haan and Resnick [4] derived the convergence rate when the second order generalized regularly varying function has second order derivatives. In this paper, based on the properties of the generalized regular variation and the second order generalized variation and characterized by uniform and total variation metrics, the convergence rates of the distribution of the largest order statistic are obtained under weaker conditions.

An Image Steganography Scheme based on LSB++ and RHTF for Resisting Statistical Steganalysis

  • Nag, Amitava;Choudhary, Soni;Basu, Suryadip;Dawn, Subham
    • IEIE Transactions on Smart Processing and Computing
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    • 제5권4호
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    • pp.250-255
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    • 2016
  • Steganography is the art and science of secure communication. It focuses on both security and camouflage. Steganographic techniques must produce the resultant stego-image with less distortion and high resistance to steganalysis attack. This paper is mainly concerned with two steganographic techniques-least significant bit (LSB)++ and the reversible histogram transformation function (RHTF). LSB++ is likely to produce less distortion in the output image to avoid suspicion, but it is vulnerable to steganalysis attacks. RHTF using a mod function technique is capable of resisting the most popular and efficient steganalysis attacks, such as the regular-singular pair attack and chi-squared detection steganalysis, but it produces a lot of distortion in the output image. In this paper, we propose a new steganographic technique by combining both methods. The experimental results show that the proposed technique overcomes the respective drawbacks of each method.

대상포진후 신경통 치료중 발생한 급성간염 -증례 보고- (Acute Hepatitis during the Treatment of Postherpetic Neuralgia -A case report-)

  • 박희정;정미향;이철승;김원태
    • The Korean Journal of Pain
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    • 제9권1호
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    • pp.244-247
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    • 1996
  • A 67 year old male with postherpetic neuralgia complained of right anterior chest throbbing pain and also allodynia. We performed thoracic epidural block with 0.25% bupivacaine and 1% lidocaine. Oral carbamazepine and imipramine were also administred concomitantly. One month later, patient complained of fatigue, anorexia, pruritis, jaundice, and dark urine. Liver function test values were significantly elevated then. Therefore we removed the epidural catheter and ceased all medication. Liver function test values decreased rapidly after discontinuation of medication. Hepatitis might have developed as result of drugs administered and could have been prevented if the patient had been monitored with regular clinical laboratory follow up. The purpose of this case report is emphasize the importance of early regular laboratory test to detect any possible side effect that may occur by administration of drugs during treatment of chronic pain.

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Construction of an PFT database with various clinical information using optical character recognition and regular expression technique

  • Park, Man Young;Park, Rae Woong
    • 인터넷정보학회논문지
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    • 제18권5호
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    • pp.55-60
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    • 2017
  • The pulmonary function test (PFT) is an essential data source for evaluating the effect of drugs on the lungs or the status of lung function. However, the numeric values of PFT cannot be easily used for clinical studies without labor-intensive manual efforts, because PFTs are usually recorded as image files. This study was aimed at constructing a de-identified, open-access PFT database with various clinical information. For constructing the PFT database, optical character recognition (OCR), regular expression, and the parsing technique were used to extract alphanumeric data from the PFT images in a Korean tertiary teaching hospital. This longitudinal observational database contains 413,000 measurements of PFT from 183,000 patients.

THE INFINITE GROWTH OF SOLUTIONS OF SECOND ORDER LINEAR COMPLEX DIFFERENTIAL EQUATIONS WITH COMPLETELY REGULAR GROWTH COEFFICIENT

  • Zhang, Guowei
    • 대한수학회보
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    • 제58권2호
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    • pp.419-431
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    • 2021
  • In this paper we discuss the classical problem of finding conditions on the entire coefficients A(z) and B(z) guaranteeing that all nontrivial solutions of f" + A(z)f' + B(z)f = 0 are of infinite order. We assume A(z) is an entire function of completely regular growth and B(z) satisfies three different conditions, then we obtain three results respectively. The three conditions are (1) B(z) has a dynamical property with a multiply connected Fatou component, (2) B(z) satisfies T(r, B) ~ log M(r, B) outside a set of finite logarithmic measure, (3) B(z) is extremal for Denjoy's conjecture.

On the Stability Theory in Dynamical Systems

  • Koo, Ki-Shik
    • 충청수학회지
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    • 제7권1호
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    • pp.211-216
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    • 1994
  • In this paper, we show that a continuous function $f:X{\rightarrow}X$ has regular coordinate then (X, f) has some properties which are similar to results following from a hypothesis of hyperbolicity.

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