• 제목/요약/키워드: classical means

검색결과 221건 처리시간 0.022초

ON THE PURE IMAGINARY QUATERNIONIC LEAST SQUARES SOLUTIONS OF MATRIX EQUATION

  • WANG, MINGHUI;ZHANG, JUNTAO
    • Journal of applied mathematics & informatics
    • /
    • 제34권1_2호
    • /
    • pp.95-106
    • /
    • 2016
  • In this paper, according to the classical LSQR algorithm forsolving least squares (LS) problem, an iterative method is proposed for finding the minimum-norm pure imaginary solution of the quaternionic least squares (QLS) problem. By means of real representation of quaternion matrix, the QLS's correspongding vector algorithm is rewrited back to the matrix-form algorthm without Kronecker product and long vectors. Finally, numerical examples are reported that show the favorable numerical properties of the method.

A Bayesian Test Criterion for the Behrens-Firsher Problem

  • Kim, Hea-Jung
    • Communications for Statistical Applications and Methods
    • /
    • 제6권1호
    • /
    • pp.193-205
    • /
    • 1999
  • An approximate Bayes criterion for Behrens-Fisher problem (testing equality of means of two normal populations with unequal variances) is proposed and examined. Development of the criterion involves derivation of approximate Bayes factor using the imaginary training sample approachintroduced by Spiegelhalter and Smith (1982). The proposed criterion is designed to develop a Bayesian test criterion having a closed form, so that it provides an alternative test to those based upon asymptotic sampling theory (such as Welch's t test). For the suggested Bayes criterion, numerical study gives comparisons with a couple of asymptotic classical test criteria.

  • PDF

A boundary element approach for quasibrittle fracture propagation analysis

  • Tin-Loi, F.
    • Structural Engineering and Mechanics
    • /
    • 제8권5호
    • /
    • pp.439-452
    • /
    • 1999
  • A simple numerical scheme suitable for tracing the fracture propagation path for structures idealized by means of Hillerborg's classical cohesive crack model is presented. A direct collocation, multidomain boundary element method is adopted for the required space discretization. The algorithm proposed is necessarily iterative in nature since the crack itinerary is a priori unknown. The fracture process is assumed to be governed by a path-dependent generally nonlinear softening law. The potentialities of the method are illustrated through two examples.

실 난수 발생기를 이용한 키 생성에 관한 연구 (A Study on Key Generation using the Real Random Number Generator)

  • 차재현;박중길;전문석
    • 한국전자거래학회지
    • /
    • 제6권2호
    • /
    • pp.167-178
    • /
    • 2001
  • Key is generally formed using the Random Number. How to make the Random Number is to cast coin or dice as classical method, to form the Real Random Number with Hardware and to make the Pseudo Random Number by means of utilizing mathematical algorithm. This thesis presented NRNG(New Random Number Generator) which put self-development Hardware to use as Key Generation Method and inspected to compare the Real Random Number with the Pseudo Random Number and special properties which PRNG(Pseudo-Random Number Generator) creates.

  • PDF

Development of New Strategies for Enzyme Replacement Therapy for Lysosomal Storage Disorders

  • Ko, Ah-Ra
    • Journal of mucopolysaccharidosis and rare diseases
    • /
    • 제2권1호
    • /
    • pp.17-18
    • /
    • 2016
  • Enzyme replacement therapy (ERT) is a well-established means of treating lysosomal storage disease (LSD). However, classical IV infusion based ERT method produces less than ideal results, especially, CNS defects and quality of life in patients. To improve these main problems of parental IV formulation for LSDs, we investigate modified ERT method and evaluated the efficacy in animal model.

Non-associative fuzzy-relevance logics: strong t-associative monoidal uninorm logics

  • Yang, Eun-Suk
    • 논리연구
    • /
    • 제12권1호
    • /
    • pp.89-110
    • /
    • 2009
  • This paper investigates generalizations of weakening-free uninorm logics not assuming associativity of intensional conjunction (so called fusion) &, as non-associative fuzzy-relevance logics. First, the strong t-associative monoidal uninorm logic StAMUL and its schematic extensions are introduced as non-associative propositional fuzzy-relevance logics. (Non-associativity here means that, differently from classical logic, & is no longer associative.) Then the algebraic structures corresponding to the systems are defined, and algebraic completeness results for them are provided. Next, predicate calculi corresponding to the propositional systems introduced here are considered.

  • PDF

Modeling of Structure of the Specialized Processor on the Basis Ryabenko's Splines for Signal Processing

  • Zaynidinov, Hakimjon;Nishonboev, Golibjon
    • Journal of information and communication convergence engineering
    • /
    • 제9권4호
    • /
    • pp.424-427
    • /
    • 2011
  • The paper is devoted to problem of spline approximation. A new method of nodes location for curves and surfaces computer construction by means of B-splines, of Reyabenko's splines and results of simulink-modeling is presented. The advantages of this paper is that we comprise the basic spline with classical polynomials both on accuracy, as well as degree of paralleling calculations are also show's.

분산이 미지인 정규모집단의 평균에 대한 베이즈-P* 선택방법에 관한 연구+ (A Bayes-P* Selection Procedure for Normal Means with Common Unknown Variance+)

  • 김우철;전종우;한경수
    • 응용통계연구
    • /
    • 제3권2호
    • /
    • pp.79-89
    • /
    • 1990
  • 정규분포를 가정한 통상적인 일원배치모형에서 모평균들을 비교하는 부분집합 선택방법으로서 베이즈-$P^*$ 선택방법을 제시하고 기존의 방법과의 관계를 알아보고, 그 운용특성에 대한 모의실험의 결과를 고찰하였다.

  • PDF

A Support Vector Method for the Deconvolution Problem

  • Lee, Sung-Ho
    • Communications for Statistical Applications and Methods
    • /
    • 제17권3호
    • /
    • pp.451-457
    • /
    • 2010
  • This paper considers the problem of nonparametric deconvolution density estimation when sample observa-tions are contaminated by double exponentially distributed errors. Three different deconvolution density estima-tors are introduced: a weighted kernel density estimator, a kernel density estimator based on the support vector regression method in a RKHS, and a classical kernel density estimator. The performance of these deconvolution density estimators is compared by means of a simulation study.

A NEW EXTENSION OF BESSEL FUNCTION

  • Chudasama, Meera H.
    • 대한수학회논문집
    • /
    • 제36권2호
    • /
    • pp.277-298
    • /
    • 2021
  • In this paper, we propose an extension of the classical Bessel function by means of our ℓ-hypergeometric function [2]. As the main results, the infinite order differential equation, the generating function relation, and contour integral representations including Schläfli's integral analogue are derived. With the aid of these, other results including some inequalities are also obtained. At the end, the graphs of these functions are plotted using the Maple software.