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ALGEBRAIC POINTS ON THE PROJECTIVE LINE

  • Ih, Su-Ion
    • Journal of the Korean Mathematical Society
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    • v.45 no.6
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    • pp.1635-1646
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    • 2008
  • Schanuel's formula describes the distribution of rational points on projective space. In this paper we will extend it to algebraic points of bounded degree in the case of ${\mathbb{P}}^1$. The estimate formula will also give an explicit error term which is quite small relative to the leading term. It will also lead to a quasi-asymptotic formula for the number of points of bounded degree on ${\mathbb{P}}^1$ according as the height bound goes to $\infty$.

A Study on the Correlation between Thoracolumbar Junction and Back-su points(背兪穴), Hwatahyeopcheok points(華他夾脊穴) for Treatment of Low Back Pain (요통 치료를 위한 흉요추 이행부 (Thoracolumbar Junction) 와 배유혈(背兪穴), 화타협척혈(華他夾脊穴)의 상관성 에 관한 연구)

  • Park, Young-Hoi;Keum, Dong-Ho;Kim, Dae-Feel
    • The Journal of Korea CHUNA Manual Medicine
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    • v.5 no.1
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    • pp.77-84
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    • 2004
  • Objectives : This study was designed to investigate the correlation between thoracolumbar junction and back-su points, Hwatahyeopcheok points for treatment of low back pain in the thoracolumbar junction syndrome that was suggested by Maigne R. Method : We Investigate the acupuncture points that was correlated with the location of thoracolumbar junction area. And We tried to find out a common point between thoracolumbar junction and back-su points, Hwatahyeopcheok points for treatment of low back pain. Results and Conclusion : 1. It is considered that these points such as $BL_{20}$, $BL_{21}$, $BL_{22}$, and Hwatahyeopcheok points that are located from 11th thoraic spinous process to 2nd lumbar spinous process are correspond to the thoracolumbar junction area. 2. It is suggested that acupuncture treatment on $BL_{20}$, $BL_{21}$, $BL_{22}$, and Hwatahyeopcheok points can release the tenderness of the muscles, recover autonomic nervous function and release smooth muscles and vascular contraction, so it can treat low back pain caused by thoracolumbar junction.

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Study on the Characteristics of Acupoints that Treat Disorders of the Head and Face in the Zhenjiuzishengjing (『침구자생경(針灸資生經)』에 기재된 두면부(頭面部) 병증 치료경혈의 특성에 대한 고찰)

  • KEUM, Yujeong;LEE, Bonghyo;YEO, Inkeum;EOM, Dongmyung;SONG, Jichung
    • Journal of Korean Medical classics
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    • v.34 no.3
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    • pp.73-83
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    • 2021
  • Objectives : To organize the acupoints used to treat disorders of the head and face in the Zhenjiuzishengjing, and examine their characteristics in application. Methods : 1. The head and face area was divided into 8 parts according to the textbook of meridians and acupoints. Channels belonging to each part were marked. 2. Disorders as mentioned in the Zhenjiuzishengjing were categorized into 8 groups, accordingly. 3. Acupoints used to treat each disorder were organized according to the channels each belonged to. 4. The points were divided according to their proximity, and their application frequency was organized. 5. Based on the organized contents, the characteristics of using proximal and distal points, together with the interrelationship between the channel belonging to the afflicted area and the points locations were examined. Results : In treating disorders in the head and face area, various distal points along with proximal points were suggested in the Zhenjiuzishengjing. In some cases, points belonging to a channel that was irrelevant to the afflicted area were used widely; for proximal points, the Governor/Conception/Triple Energizer/Gallbladder channels were used. For distal points, channels that were related to the Five Zhang were used. Conclusions : Based on the contents of the Zhenjiuzishengjing, the following could be concluded: 1. When treating disorders of the head and face caused by heat, distal points were mostly used. 2. In cases where points which are not part of channels that pass the head or face were used, Zhang disfunction was likely behind such points selection.

Study on skin cold spot distributions of Korean adult (성인남녀의 피부 냉점 분포에 관한 연구)

  • Choi, Jeong-wha;Seol, Hyang
    • Journal of the Korean Society of Clothing and Textiles
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    • v.23 no.5
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    • pp.667-671
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    • 1999
  • The purpose of this study was to determine the number of skin cold receptor in Korean adult as a part of the study to investigate thermal physiological characteristics of Korean. For this 10 healthy subjects were placed in a climatic chamber and received cold stimulation of 1$0^{\circ}C$ on skin surface of each measuring site with a thermo-stimulator. As a result of cold spot measurement we found 23 points/cm2 at face 13. points/cm2 at chest 16 points/cm2 at abdomen 11 points/cm2 at back 14 points/cm2 at upper arm 16 points/cm2 at forearm 18 points/cm2 at back of the hand 15 points/cm2 at thigh 8 points/cm2 at leg 12 points/cm2 at dorsum of foot 8 points/cm2 at sole of foot in male subjects and in female subjects we fund 18 points/cm2 at face 13 points/cm2 at forearm 11 points/cm2 at at back of the hand 8 points/cm2 at palm 9 points/cm2 at thigh 6 points/cm2 at leg 8 points/cm2 at dorsum of foot 2 points/cm2 at sole of foot. The distributions of cold spots varied in different regions of the body surface and was exceptionally dense in the facial skin. There were some differences among other researchers' results but the cause of those differences are not yet known those are due to individual or methodological difference.

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A Study on the Road Traffic Noise Restriction Factors that Affect the Price of Apartment Complexes (아파트 가격에 영향을 미치는 도로교통소음 제한인자에 관한 연구)

  • Park, Sang-Ill;Choi, Hyung-Il;Cheong, Kyung-Hoon;Jung, Sang-Chul
    • Journal of Environmental Science International
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    • v.18 no.4
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    • pp.389-400
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    • 2009
  • In this research, we measured the number of lanes, distance, disposition of apartment that are affecting the road traffic noise to evaluate the current condition of G city's road traffic noise. We decide on a basis regarding an apartment price formation factor, and the apartment current price and the results that compared. To have a point scale, we set the maximum road traffic noise at a 8 lane road for 5 points, give 4 points for a 6 lane road, which has a $2.1{\sim}2.5\;dB(A)$ difference compared to a 8 lane road, give 3 points for a 4 lane road, which has a $5.2{\sim}5.5\;dB(A)$ difference compared to a 8 lane road, and set 2 points for a 2 lane road and lower. If we set the standard floor plan as horizontal and a living room facing the roadside, the horizontal and living room facing the opposite side of the road is 1 point because it differs by 14.1 dB(A), and the vertical is 3 points since the difference is 5.3 dB(A). If we make grades by the distance, making standard the fifth floor with little soundproof effect from apartment to road, we observe a measurement below 2.9 dB(A) at a distance of less than 10 m and 5 dB(A), decreased at a distance of 20 m. Therefore, 4 points were given for less than 10m, 3 points for $10{\sim}20\;m$, 2 points for more than 20 m as we can apply the effect of a decay distance of line sound source and the decrease in noise effects of more than 6 dB(A), 1 point for more than 40m, and 0 points for more that 80 m since it is negligible. 28 apartments got 0 points because there is no effect of road traffic noise from other apartments, and 50 apartments where only the road at one side effect them got $5{\sim}10$ points. 4 apartments (17-2, 6-3, 10-4, 3-3) received over 20 points. 15 cases showed a difference between developer price and resale price, and 11 cases (73%) among them showed the same trend (price increases with a low road traffic noise restriction factor point) with the point of road traffic noise restriction factor. 4 cases demonstrated the opposite trend, showing price increases with a high restriction factor point. Among the 4 cases, case numbers 2,6 and 9 appear to be more affected by the location factor (business district) than the road traffic noise restriction factor, and case number 1 appears to be affected by the building factor (openness and direction).

Comparison Study about Surface Mapping of Motor Points in Biceps Brachii Muscle Using Surface EMG and Electric Probe (표면 근전도와 전기 탐침기를 이용한 상완이두근의 운동점 표지 비교 연구)

  • Park, Jaewon;Keum, Dongho
    • Journal of Korean Medicine Rehabilitation
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    • v.28 no.1
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    • pp.85-96
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    • 2018
  • Objectives This study was performed to compare the electrical methods of motor points mapping using surface EMG and electric probe (Pointer Excel II). Methods 32 healthy adults (male 16, female 16) were selected. and classified into two groups; surface EMG group, electric probe (Pointer Excel II) group. In surface EMG group, motor points were searched by recoding the compound muscle potentials. In electric probe (Pointer Excel II) group, motor points were searched by scanning the skin with Pointer Excel II at low level stimulation. The locations of the motor points were expressed as X and Y values in relation to the reference line. The horizontal reference line was set as elbow crease and the vertical reference line was set as the line connecting coracoid process to the center of the horizontal reference line. The data was analyzed by 'Independent T-test' and 'equivalence test'. Results 1. The motor points of short head and long head of biceps brachii muscle were located at about 2/3 length of the vertical reference line from coracoid process and about 1/5~1/4 length of the half of the horizontal reference line from the vertical reference line in both group. 2. The motor points of the short head were located more distally and close to the vertical reference line (p<0.001). 3. In surface EMG group, the motor points of the long head were located more laterally in the female than male. And the motor points of the long head were located more distally in the left side than right side (p<0.05). In electric probe (Pointer Excel II) group, similar tendency was observed but there was no statistically significant difference (p>0.05). 4. As a result of the equivalence test between surface EMG group and electric probe (Pointer Excel II) group, the confidence intervals of the difference were within the equivalence limit. Therefore, the locations of the motor points searched by two ways are equa l (p>0.05, equivalence interval=3%). Conclusions The results indicate that electric probe (Pointer Excel II) can be used to search the motor points instead of surface EMG. This might improve the clinical efficiency when using the motor points to treat muscle dysfunction.

Study on Comarison of EAV Measurement Points with Acupuncture Points (EAV경락계와 고전침구경락계의 경혈학적 비교.고찰)

  • Ryu, Kyung-Joo;Kim, Jung-Heon
    • Korean Journal of Oriental Medicine
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    • v.1 no.1
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    • pp.363-400
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    • 1995
  • The electroacupuncture according to Voll(EAV) is a method of combining the fundamentals of classical acupuncture with the facilities of modern electronics for diagnostics and therapy. Classical acupuncture uses energy conducting lines called 'meridians' and acupuncture points situated along them. Dr. Voll is considered the founder of 'EAV' since he succeeded not only in finding a method of exact electric localization and in explaining the interelation between the acupuncture points and their individual organs, but he also succeeded in measuring the resistance of these points and in explaining the diagnostic meaning of the measured values. In the course of his research, Voll found numerous new measurement points and energy conducting vessels unknown to classical acupuncture, but indispensible for diagnosis of human organic functions. As a basis of modern research in meridian theory, I tried to compare EAV measurement point with classical acupuncture point.

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