• 제목/요약/키워드: Weighted

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FINITE EXTENSIONS OF WEIGHTED WORD L-DELTA GROUPS

  • Ryang, Do-Hyoung
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제15권4호
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    • pp.353-364
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    • 2008
  • The purpose of this paper is to investigate the finite extension of weighted word L-delta groups. The paper revealed that a finite extension of a weighted word L-delta group is a weighted word L-delta group, and an abelian group, in addition, is a weighted word L-delta group and simultaneously a word L-delta group.

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ON THE CLOSED RANGE COMPOSITION AND WEIGHTED COMPOSITION OPERATORS

  • Keshavarzi, Hamzeh;Khani-Robati, Bahram
    • 대한수학회논문집
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    • 제35권1호
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    • pp.217-227
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    • 2020
  • Let ψ be an analytic function on 𝔻, the unit disc in the complex plane, and φ be an analytic self-map of 𝔻. Let 𝓑 be a Banach space of functions analytic on 𝔻. The weighted composition operator Wφ,ψ on 𝓑 is defined as Wφ,ψf = ψf ◦ φ, and the composition operator Cφ defined by Cφf = f ◦ φ for f ∈ 𝓑. Consider α > -1 and 1 ≤ p < ∞. In this paper, we prove that if φ ∈ H(𝔻), then Cφ has closed range on any weighted Dirichlet space 𝒟α if and only if φ(𝔻) satisfies the reverse Carleson condition. Also, we investigate the closed rangeness of weighted composition operators on the weighted Bergman space Apα.

GENERALIZED WEIGHTED COMPOSITION OPERATORS FROM AREA NEVANLINNA SPACES TO WEIGHTED-TYPE SPACES

  • Weifeng, Yang;Weiren, Yan
    • 대한수학회보
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    • 제48권6호
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    • pp.1195-1205
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    • 2011
  • Let $H(\mathbb{D})$ denote the class of all analytic functions on the open unit disk $\mathbb{D}$ of the complex plane $\mathbb{C}$. Let n be a nonnegative integer, ${\varphi}$ be an analytic self-map of $\mathbb{D}$ and $u{\in}H(\mathbb{D})$. The generalized weighted composition operator is defined by $$D_{{\varphi},u}^nf=uf^{(n)}{\circ}{\varphi},\;f{\in}H(\mathbb{D})$$. The boundedness and compactness of the generalized weighted composition operator from area Nevanlinna spaces to weighted-type spaces and little weighted-type spaces are characterized in this paper.

A note on nonparametric density deconvolution by weighted kernel estimators

  • Lee, Sungho
    • Journal of the Korean Data and Information Science Society
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    • 제25권4호
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    • pp.951-959
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    • 2014
  • Recently Hazelton and Turlach (2009) proposed a weighted kernel density estimator for the deconvolution problem. In the case of Gaussian kernels and measurement error, they argued that the weighted kernel density estimator is a competitive estimator over the classical deconvolution kernel estimator. In this paper we consider weighted kernel density estimators when sample observations are contaminated by double exponentially distributed errors. The performance of the weighted kernel density estimators is compared over the classical deconvolution kernel estimator and the kernel density estimator based on the support vector regression method by means of a simulation study. The weighted density estimator with the Gaussian kernel shows numerical instability in practical implementation of optimization function. However the weighted density estimates with the double exponential kernel has very similar patterns to the classical kernel density estimates in the simulations, but the shape is less satisfactory than the classical kernel density estimator with the Gaussian kernel.

WEIGHTED COMPOSITION OPERATORS ON WEIGHTED SPACES OF VECTOR-VALUED ANALYTIC FUNCTIONS

  • Manhas, Jasbir Singh
    • 대한수학회지
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    • 제45권5호
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    • pp.1203-1220
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    • 2008
  • Let V be an arbitrary system of weights on an open connected subset G of ${\mathbb{C}}^N(N{\geq}1)$ and let B (E) be the Banach algebra of all bounded linear operators on a Banach space E. Let $HV_b$ (G, E) and $HV_0$ (G, E) be the weighted locally convex spaces of vector-valued analytic functions. In this paper, we characterize self-analytic mappings ${\phi}:G{\rightarrow}G$ and operator-valued analytic mappings ${\Psi}:G{\rightarrow}B(E)$ which generate weighted composition operators and invertible weighted composition operators on the spaces $HV_b$ (G, E) and $HV_0$ (G, E) for different systems of weights V on G. Also, we obtained compact weighted composition operators on these spaces for some nice classes of weights.

데이터 마이닝에서 Cohen의 kappa를 이용한 분류정확도 측정 (Assessing Classification Accuracy using Cohen's kappa in Data Mining)

  • 엄용환
    • 한국컴퓨터정보학회논문지
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    • 제18권1호
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    • pp.177-183
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    • 2013
  • 본 논문에서는 데이터 마이닝에서 분류 작업을 실시할 때 그 분류정확도을 측정하기 위해 Cohen의 kappa 계수와 weighted kappa 계수를 제안하였다. kappa 계수는 우연에 의해 생기는 분류를 보정하여 분류정확도을 측정하며 명목척도와 순서척도의 데이터에 대해 사용된다. 특히 순서척도의 데이터에서는 오분류의 크기를 가중치에 의해 정량화하여 분류정확도을 측정하는 weighted kappa 계수가 더 유용하게 사용된다. weighted kappa 계수 계산을 위해서는 2가지 가중치(일차형 가중치, 이차형 가중치)를 사용하였다.. 또한 실제 데이터인 지방간 데이터에 대해 kappa 계수와 weighted kappa 계수를 계산하여 비교하였다.

객체지향 컴퓨터를 위한 확장-가중치 버디 시스템 (An Extended-Weighted Buddy System for an Object-Oriented Computer)

  • 김관중;김병기
    • 한국정보처리학회논문지
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    • 제4권6호
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    • pp.1625-1635
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    • 1997
  • 객체지향 컴퓨터의 동적 메모리 할당을 위해 가중치 버디 시스템을 확장한 확장-가중치 버디 시스템을 제안하였다. 가중치 버디 시스템이 블럭의 크기를 $2^k와\;3*2^k$ 두가지로 제공하는데 비해 확장-가중치 버디 시스템은 블럭의 크기를 $2^k,\;3*2^k,\;5*2^k,\;7*2^k$등으로 제공한다. 이 확장은 각 블럭당 3비트의 추가 비용의 부담만으로 메모리 관리 장치를 실현할 수 있다. 그리고 본 기법과 가중치 버디 시스템을 비교 실험한 결과를 제시하였다. 확장-가중치 버디 시스템은 메모리 할당 요구 크기가 균일분포일 때 가중치 버디 시스템에 비해 내부단편화가 약 60% 정도 감소하였으며, 지수분포일 때 약 50% 정도 감소하였다. 외부단편화는 가중치 버디 시스템에 비해 본 논문에서 제안한 시스템이 크지만, 전체단편화는 지수분포시 확장-가중치 버디 시스템이 적으며 균일 분포시 두 시스템간에 큰 차가 없으므로 가중치 버디 시스템을 대체할 수 있다.

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중량조끼를 착용한 뇌졸중으로 인한 보행장애 환자의 즉각적인 보행 개선 효과 1례 (Case Study of the Immediate Gait Improvement in a Post-Stroke Gait Disturbance Patient Equipped with a Weighted Vest)

  • 김철현;홍해진;이상관
    • 대한한방내과학회지
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    • 제37권5호
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    • pp.763-769
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    • 2016
  • Objective: To confirm the immediate gait improvement in a post-stroke gait disturbance patient equipped with a weighted vest. Methods: We selected a patient who was able to walk without another’s help or with tools. The selected patient had an unstable gait because she had only started an independent gait within the past week, so we thought that a weighted vest could be very helpful for her. We first collected gait parameters using a treadmill gait analysis system while the patient walked on the treadmill without the weighted vest. After a 10-minute break, gait parameters were collected again while the patient walked on the treadmill while wearing the weighted vest. The gait parameters we collected included step length (cm), stance phase (%), swing phase (%), SW/ST, and gait line length (mm). For objective evaluation of gait improvement, we calculated the ratio of gait parameters of the right and left limbs. Results: The gait of the post-stroke patient was more symmetrical when wearing the weighted vest than without the weighted vest. Without the weighted vest, her step length ratio was 0.78, stance phase ratio was 0.88, swing phase ratio was 1.50, SW/ST ratio was 1.70, and gait line length ratio was 0.91. With the weighted vest, her step length ratio was 0.88, stance phase ratio was 0.90, swing phase ratio was 1.38, SW/ST ratio was 1.54, and gait line length ratio was 0.98. No side effects were observed due to the weighted vest.

PRODUCT-TYPE OPERATORS FROM WEIGHTED BERGMAN-ORLICZ SPACES TO WEIGHTED ZYGMUND SPACES

  • JIANG, ZHI-JIE
    • 대한수학회보
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    • 제52권4호
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    • pp.1383-1399
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    • 2015
  • Let ${\mathbb{D}}=\{z{\in}{\mathbb{C}}:{\mid}z{\mid}<1\}$ be the open unit disk in the complex plane $\mathbb{C}$, ${\varphi}$ an analytic self-map of $\mathbb{D}$ and ${\psi}$ an analytic function in $\mathbb{D}$. Let D be the differentiation operator and $W_{{\varphi},{\psi}}$ the weighted composition operator. The boundedness and compactness of the product-type operator $W_{{\varphi},{\psi}}D$ from the weighted Bergman-Orlicz space to the weighted Zygmund space on $\mathbb{D}$ are characterized.

ON WEIGHTED AND PSEUDO-WEIGHTED SPECTRA OF BOUNDED OPERATORS

  • Athmouni, Nassim;Baloudi, Hatem;Jeribi, Aref;Kacem, Ghazi
    • 대한수학회논문집
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    • 제33권3호
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    • pp.809-821
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    • 2018
  • In the present paper, we extend the main results of Jeribi in [6] to weighted and pseudo-weighted spectra of operators in a nonseparable Hilbert space ${\mathcal{H}}$. We investigate the characterization, the stability and some properties of these weighted and pseudo-weighted spectra.