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A Randomized Controlled Trial to Verify Effects of Kuesu Point on Low Back Pain and Accompanied Sciatica

  • Lee, Jeong-Won;Kim, Dong-Il
    • The Journal of Korean Medicine
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    • v.28 no.4
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    • pp.86-94
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    • 2007
  • Objective : Kuesu point is a newly discovered point, it is located in 3-cun from the centre of sacrum laterally, paralleled to the 4th foramen on the sacrum. This controlled trial was to evaluate the superior effect of Kuesu point on back pain which radiated to lower extremities. Methods : Randomized Controlled Trial (RCT) and Single Blind in patient was designed. Patients (n=31) were randomized to two groups, Kuesu-point acupuncture group (Group A, n=16) and non Kuesu point acupuncture group (Group B, n=15). Group A was acupunctured on B25 (大腸兪), B26 (關元兪) and B60 (崑崙) with Kuesu point. Group B was acupunctured on the same points without Kuesu point. The clinical subjects were female patients. Beside acupuncture, the other therapies were excluded. Clinical period was three weeks total. Each group was treated 4-5 times per week for 3 weeks. The outcome measurements were The Estimation Index of Backache (quality of life), Pain Rating Scale (pain intensity) and other physical examinations (ROM, SLR, etc.). Results : 31 patients (Group A: n=16, Group B: n=15) were Randomized, 6 of them dropped out. Eventually 25 patients (Group A: n=15, Group B: n=10) were included in the analysis. Group A acupunctured on Kuesu point scored more significant Estimation Index of Backache and lower PRS (Pain Rating Scale) than Group B acupunctured without Kuesu point (p=0.003/2). It turned out that the group acupunctured on Kuesu point show meaningful high improvement index. And other examination's results showed that the treatment effects of Group A are twice as better as Group B. Conclusion : These results suggest that Kuesu point acupuncture was more effective on lower back pain and improved the life quality of patients, being compared with non Kuesu point acupuncture.

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CHARACTERIZATIONS OF CENTRALIZERS AND DERIVATIONS ON SOME ALGEBRAS

  • He, Jun;Li, Jiankui;Qian, Wenhua
    • Journal of the Korean Mathematical Society
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    • v.54 no.2
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    • pp.685-696
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    • 2017
  • A linear mapping ${\phi}$ on an algebra $\mathcal{A}$ is called a centralizable mapping at $G{\in}{\mathcal{A}}$ if ${\phi}(AB)={\phi}(A)B= A{\phi}(B)$ for each A and B in $\mathcal{A}$ with AB = G, and ${\phi}$ is called a derivable mapping at $G{\in}{\mathcal{A}}$ if ${\phi}(AB)={\phi}(A)B+A{\phi}(B)$ for each A and B in $\mathcal{A}$ with AB = G. A point G in A is called a full-centralizable point (resp. full-derivable point) if every centralizable (resp. derivable) mapping at G is a centralizer (resp. derivation). We prove that every point in a von Neumann algebra or a triangular algebra is a full-centralizable point. We also prove that a point in a von Neumann algebra is a full-derivable point if and only if its central carrier is the unit.

SOME RESULTS ON BEST PROXIMITY POINT FOR CYCLIC B-CONTRACTION AND S-WEAKLY CYCLIC B-CONTRACTION MAPPINGS

  • V. Anbukkarasi ;R. Theivaraman;M. Marudai ;P. S. Srinivasan
    • The Pure and Applied Mathematics
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    • v.30 no.4
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    • pp.417-427
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    • 2023
  • The purpose of this paper is establish the existence of proximity point for the cyclic B-contraction mapping on metric spaces and uniformly convex Banach spaces. Also, we prove the common proximity point for the S-weakly cyclic B-contraction mapping. In addition, a few examples are provided to demonstrate our findings.

FIXED POINT THEOREMS IN b-METRIC AND EXTENDED b-METRIC SPACES

  • P. Swapna;T. Phaneendra;M. N. Rajashekhar
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.4
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    • pp.877-886
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    • 2023
  • The first result of this paper is to give a revised proof of Sanatammappa et al.'s recent result in a b-metric space, under appropriate choice of constants without using the continuity of the b-metric. The second is to prove a fixed point theorem under a contraction type condition in an extended b-metric space.

Environmental Assessment of Blasting Noise and Vibration in Residential Area

  • Kim, Jang-Ho;Seo, Seok-Jin;Son, Joo-Young;Sung, Han-Ki;Park, Dong-Hoon;Kim, Suck-Taek;Park, Won-Chul
    • Environmental Sciences Bulletin of The Korean Environmental Sciences Society
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    • v.3 no.1
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    • pp.75-80
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    • 1999
  • An investigation of noise and vibration caused by the reclamation of the foreshore around J village resulted in noise measurements of 56-84 dB at the first point, 62-81 dB at the second point, and 68-78 dB at the third point. These measurements were higher than the standard level of environmental noise that is 55 dB at noon and 45 dB at night. The vibration measurements were 61-83 dB at the first point, 63-88 dB at the second point, and 58-77 dB at the third point. These measurements were also higher than the standard level of environmental vibration that is 60 dB at noon and 54 dB at night. The measurements of scattering dust were 80 $\mu\textrm{g}$/$\textrm{m}^3$ at the first point, 120 $\mu\textrm{g}$/$\textrm{m}^3$ at the second point, and 169 $\mu\textrm{g}$/$\textrm{m}^3$ at the third point. These measurements were lower than the standard level of environmental dust that is 300 $\mu\textrm{g}$/$\textrm{m}^3$/day. Although the maximum vibration level was higher than the standard level of environmental vibration, it had no influence on the construction.

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B-spline Curve Approximation Based on Adaptive Selection of Dominant Points (특징점들의 적응적 선택에 근거한 B-spline 곡선근사)

  • Lee J.H.;Park H.J.
    • Korean Journal of Computational Design and Engineering
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    • v.11 no.1
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    • pp.1-10
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    • 2006
  • This paper addresses B-spline curve approximation of a set of ordered points to a specified toterance. The important issue in this problem is to reduce the number of control points while keeping the desired accuracy in the resulting B-spline curve. In this paper we propose a new method for error-bounded B-spline curve approximation based on adaptive selection of dominant points. The method first selects from the given points initial dominant points that govern the overall shape of the point set. It then computes a knot vector using the dominant points and performs B-spline curve fitting to all the given points. If the fitted B-spline curve cannot approximate the points within the tolerance, the method selects more points as dominant points and repeats the curve fitting process. The knots are determined in each step by averaging the parameters of the dominant points. The resulting curve is a piecewise B-spline curve of order (degree+1) p with $C^{(p-2)}$ continuity at each knot. The shape index of a point set is introduced to facilitate the dominant point selection during the iterative curve fitting process. Compared with previous methods for error-bounded B-spline curve approximation, the proposed method requires much less control points to approximate the given point set with the desired shape fidelity. Some experimental results demonstrate its usefulness and quality.

SOME FIXED-POINT RESULTS ON PARAMETRIC Nb-METRIC SPACES

  • Tas, Nihal;Ozgur, Nihal Yilmaz
    • Communications of the Korean Mathematical Society
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    • v.33 no.3
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    • pp.943-960
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    • 2018
  • Our aim is to introduce the notion of a parametric $N_b-metric$ and study some basic properties of parametric $N_b-metric$ spaces. We give some fixed-point results on a complete parametric $N_b-metric$ space. Some illustrative examples are given to show that our results are valid as the generalizations of some known fixed-point results. As an application of this new theory, we prove a fixed-circle theorem on a parametric $N_b-metric$ space.

COMMON FIXED POINT THEOREMS IN THE SETTING OF EXTENDED QUASI b-METRIC SPACES UNDER EXTENDED A-CONTRACTION MAPPINGS

  • Amina-Zahra Rezazgui;Wasfi Shatanawi;Abdalla Ahmad Tallafha
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.1
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    • pp.251-263
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    • 2023
  • In the setting of extended quasi b-metric spaces, we introduce a new concept called "extended A-contraction". We then use our concept to prove a common fixed point result for a pair of self mappings under a set of conditions. Also, we provide the concepts of extended B-contraction and extended R-contraction. We then establish a common fixed point under these new contractions. Our results generalize many existing result of fixed point in metric spaces. Furthermore, we give an example to illustrate and support our result.

A Comparision of Mghr Prescription to Doses at Ponts A and B in Intracavitary Radiotherapy of Cervix Cancer (자궁경구암(子宮頸口癌) 강내조사치료시(腔內照射治療時) A점(點) B점(點) 선량계산방법(線量計算方法)과 mghr 단위(單位) 방법(方法)의 비교(比較))

  • Park, Charn-Il;Ha, Sung-Whan;Kang, Wee-Saing
    • Journal of Radiation Protection and Research
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    • v.6 no.1
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    • pp.31-33
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    • 1981
  • The 42 patients with carcinoma of the cervix, performed intracavitary radiotherapy, were analysed the doses at points A and B comparing to the mghr prescription. The doses at points A and B were calculated by PC-12 computer planning system. Correlation coefficienty between doses at points A and B and the mghr prescription are 0.82 (p<0.001) and 0.90 (p<0.001) respectively. The slope of the point A line is 0.70 and the slope of the point B is 0.21. Therefore, the dose at point A is approximately 3/4 the mghr prescription and the dose at point B is approximately 1/4 the mghr precription.

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A Study on Signalling Protocol of Satellite B-ISDN (위성 B-ISDN 신호 프로토콜 연구)

  • 박석천;최동영한기호윤석환
    • Proceedings of the IEEK Conference
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    • 1998.10a
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    • pp.59-62
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    • 1998
  • Satellite communication systems will play an important role in establishing high-speed information communication network ddue to the characteristics of flexibility of bandwidth, mobile communication, wide coverage, multipoint and broadcasting. Also satellite systems have the capability to supply terrestrial B-ISDN with flexible links for accessing networks as well as trunking networks. Therefore, satellites must provide compatibility to earth-based B-ISDN signalling interface, services and network capability. This paper proposed interworking model between terrestrial B-ISDN and satellite B-ISDN signalling protocol and illustrated basic call-process procedure of satellite B-ISDN signalling protocol supporting point-to-point and point-to-multipoint connection.

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