• 제목/요약/키워드: norm estimate

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심박변이도를 통한 침자극과 스트레스의 상관관계 연구 (A Study on the Relationship with Acupuncture Stimulation and Stress Using Heart Rate Variability)

  • 이승기;박경모;최우진
    • 동의신경정신과학회지
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    • 제15권1호
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    • pp.197-209
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    • 2004
  • Objectives : The purpose of this case-control research was to investigate the effects of acupuncture stimulation on autonomic nervous system for patients with HRV and to find out relationship with anti-stress effects. Methods : The study group consists of 24 patients with self-recognition of stress as the case group, and 20 normal person as the control group by similar age. We measured HRV of case and control groups before acupuncture stimulation, prick acupuncture in Hegu(LI4), Taichong(Liv3), Shenme(H7), Neiguan(P6), Zusanli(S36). After treating for 20 minutes, measurement values of HRV and PSV were compared for pre-acupuncture and post-acupuncture. Results : 1. LF norm, HF norm, LF/HF between the case and control groups were significant different in HRV before acupuncture stimulation in the 1st experiment. 2. HRT, SDNN, SDSD, LF norm, HF norm, and LF/HF of the case group were significant different in HRV after acupuncture stimulation in the 1st experiment. HRT of the case group was significantly different in HRV after acupuncture stimulation in the 1st experiment. 3. LF norm, HF norm, LF/HF of the case group were significant different between the 1st and 2nd experiment in HRV before acupuncture stimulation. 4. LF norm, HF norm, and LF/HF were significant different between the 1st and 2nd experiment in HRV of patients whose symptoms improved. But HRV of patients whose symptoms unimproved didn't show significant difference. Conclusion : The results suggest that acupuncture stimulation is associated with changed activity in the sympathetic and parasympathetic nervous system. Measurement values of HRV is suitable to estimate the activity of automatic nervous system.

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A COUNTEREXAMPLE FOR IMPROVED SOBOLEV INEQUALITIES OVER THE 2-ADIC GROUP

  • Chamorro, Diego
    • 대한수학회논문집
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    • 제28권2호
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    • pp.231-241
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    • 2013
  • On the framework of the 2-adic group $\mathcal{Z}_2$, we study a Sobolev-like inequality where we estimate the $L^2$ norm by a geometric mean of the BV norm and the $\dot{B}_{\infty}^{-1,{\infty}}$ norm. We first show, using the special topological properties of the $p$-adic groups, that the set of functions of bounded variations BV can be identified to the Besov space ˙$\dot{B}_1^{1,{\infty}}$. This identification lead us to the construction of a counterexample to the improved Sobolev inequality.

A Study for Obtaining Weights in Pairwise Comparison Matrix in AHP

  • Jeong, Hyeong-Chul;Lee, Jong-Chan;Jhun, Myoung-Shic
    • 응용통계연구
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    • 제25권3호
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    • pp.531-541
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    • 2012
  • In this study, we consider various methods to estimate the weights of a pairwise comparison matrix in the Analytic Hierarchy Process widely applied in various decision-making fields. This paper uses a data dependent simulation to evaluate the statistical accuracy, minimum violation and minimum norm of the obtaining weight methods from a reciprocal symmetric matrix. No method dominates others in all criteria. Least squares methods perform best in point of mean squared errors; however, the eigenvectors method has an advantage in the minimum norm.

희소성 음향 통신 채널 추정 견실화를 위한 백색화를 적용한 l1놈-RLS 알고리즘 (L1 norm-recursive least squares algorithm for the robust sparse acoustic communication channel estimation)

  • 임준석;편용국;김성일
    • 한국음향학회지
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    • 제39권1호
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    • pp.32-37
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    • 2020
  • 본 논문은 l1놈-Recursive Least Squares(RLS)에 수치 계산상 견실화를 더한 새로운 알고리즘을 제안한다. Eksioglu와 Tanc는 희소성 음향 채널 추정을 위해서 l1놈-RLS 알고리즘을 구현하였다. 그러나 이 알고리즘의 근간인 RLS 계산법 역행렬 계산에서 수치 계산상의 불안정성을 지니고 있다. 본 논문에서는 이런 불안정성을 낮추는 새로운 알고리즘을 제안한다. 그리고 제안한 방법을 사용했을 때 수치적 불안정성에 대한 성능이 개선되었음을 보인다.

침자극과 이완요법이 시험 스트레스에 미치는 영향 - 심박변이도와 동공크기변이도를 사용하여 - (The Effects of Acupuncture Stimulation and Progressive Relaxation Therapy on Examination Stress of Students -Using Heart Rate Variability and Pupil Size Variability -)

  • 곽선;이승기;박경모;최우진
    • Korean Journal of Acupuncture
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    • 제21권2호
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    • pp.161-176
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    • 2004
  • Objectives : The purpose of this study was to investigate the effects of acupuncture stimulation and relaxation therapy on autonomic nervous system for students with examination stress by HRV, PSV and to find out relationship with anti-stress effect. Methods : The study group consists of 42 students were classified into three groups randomly : acupuncture stimulation group(male n=8, female n=6), relaxation therapy group(male n=8, female n=6) and rest group(male n=8, female n=6). Using heart rate variability and pupil size variability, we measured the value of HRT, SDNN, SDSD, LF norm, HF norm, LF/HF ratio, Pupil area, and compared the changes the sympathetic- parasympathetic activity. Measurement value were compared before and after, during midterm examination and normal times. Results : 1. HRT, LF/HF ratio, LF norm of acupuncture group was significantly decreased and HF norm were significantly increased in HRV after acupuncture stimulation at a term of examination. While variables of the other group were no significantly different. 2. SDNN of acupuncture group were significantly increased in HRV after acupuncture stimulation at normal times. 3. Pupil area, LF norm, HF norm of three group were no significantly different in PSV at a term of examination. 4. Pupil area of relaxation group were significantly decreased in PSV at normal times. While variables of the other group were no significantly different. 5. HRT of rest group were significantly decreased in HRV between three groups at a term of examination and normal times. 6. Pupil area of relaxation group were significantly decreased in PSV between three groups at a term of examination and normal times. Conclusion : The results suggest that acupuncture stimulation is associated with changed activity in the sympathetic and parasympathetic nervous system. Measurement values of HRV and PSV are suitable to estimate the activity of automatic nervous system.

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EXTINCTION AND POSITIVITY OF SOLUTIONS FOR A CLASS OF SEMILINEAR PARABOLIC EQUATIONS WITH GRADIENT SOURCE TERMS

  • Yi, Su-Cheol
    • 충청수학회지
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    • 제30권4호
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    • pp.397-409
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    • 2017
  • In this paper, we investigated the extinction, positivity, and decay estimates of the solutions to the initial-boundary value problem of the semilinear parabolic equation with nonlinear gradient source and interior absorption terms by using the integral norm estimate method. We found that the decay estimates depend on the choices of initial data, coefficients and domain, and the first eigenvalue of the Laplacean operator with homogeneous Dirichlet boundary condition plays an important role in the proofs of main results.

NUMERICAL METHOD FOR A SYSTEM OF SINGULARLY PERTURBED CONVECTION DIFFUSION EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS

  • Raja, Velusamy;Tamilselvan, Ayyadurai
    • 대한수학회논문집
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    • 제34권3호
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    • pp.1015-1027
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    • 2019
  • A class of systems of singularly perturbed convection diffusion type equations with integral boundary conditions is considered. A numerical method based on a finite difference scheme on a Shishkin mesh is presented. The suggested method is of almost first order convergence. An error estimate is derived in the discrete maximum norm. Numerical examples are presented to validate the theoretical estimates.

TWO WEIGHT ESTIMATE FOR THE PARAPRODUCT IN THE SPACE OF HOMOGENEOUS TYPE

  • Chung, Daewon
    • East Asian mathematical journal
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    • 제35권3호
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    • pp.319-329
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    • 2019
  • In this paper, we provide sufficient conditions of a pair of weights (u, v) and a function b so that the dyadic paraproduct is bounded from $L^2_u(X)$ into $L^2_v(X)$, where X is a space of homegeneous type. In order to prove the main result we use the honest dyadic system introduced in [10].

NUMERICAL METHOD FOR A SYSTEM OF CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS WITH NON-LOCAL BOUNDARY CONDITIONS

  • S. Joe Christin Mary;Ayyadurai Tamilselvan
    • 대한수학회논문집
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    • 제38권1호
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    • pp.281-298
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    • 2023
  • A class of systems of Caputo fractional differential equations with integral boundary conditions is considered. A numerical method based on a finite difference scheme on a uniform mesh is proposed. Supremum norm is used to derive an error estimate which is of order κ − 1, 1 < κ < 2. Numerical examples are given which validate our theoretical results.