• Communications of the Korean Mathematical Society
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• v.13 no.2
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• pp.345-358
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• 1998

Let (p/q,n) denote the orbifold with its underlying space $S^3$ and a rational knot or link p/q as its singular set with a cyclic isotropy group of order n. In this paper we shall show the geometrical realization for the case (7/3,n) for all $n \geq 3$.

• Proceedings of the Korean Society of Precision Engineering Conference
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• 2008.06a
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• pp.31-32
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• 2008

• East Asian mathematical journal
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• v.17 no.2
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• pp.239-251
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• 2001

We construct a family of 3-manifolds by pairwise identifications of faces in the boundary of certain polyhedral3-balls and prove that all these manifolds are cyclic branched coverings of the 3-sphere over the double link.

• East Asian mathematical journal
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• v.27 no.3
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• pp.309-317
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• 2011

In this paper we introduce an algorithm to construct an in-finite family of magic cubes and investigate properties of magic cubes, which extend the results in [6].

• Clinical and Experimental Pediatrics
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• v.64 no.11
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• pp.599-601
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• 2021

• Journal of Korean Medical classics
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• v.12 no.2
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• pp.16-53
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• 1999

On the viewpoint of Nae-Kyung and Ju-Yeok, the Seok-Kok's Pu-Yang-Non and other oriental medical doctor's Po-Eum-Eok-Yang, Pu-Yang-Eok-Eum theory which are on the basis of the Kun-Shin-Sang-Wha theory of Nae-Kyung and Myung-Mun theory of Nan-Kyung were compared and studied. The results were as follows : 1. Ju-Yeok and Nae-Kyung said the South is Fire. And explained it as the chief object of life activity by likening to king or saint. And said the North is Water. but didn't mentioned that there exists Fire. The activity of Kun-Wha is regarded as the the chief object of life activity and the Shin-Su can be vatalized by receiving the Shim-Kun-Wha. Therefore, the Seok-Kok's opinion that Shang-Wha is the Fire received by Shin-Su matchs the theory of Nae-Kyung and Nan-Kyung. 2. The Kidney(Shin) in Nae-Kyung means Puk-Bang- Han-Su(The North Cold Water) which has two characters, charging and discharging, ascending and descending. The paragrap "Kam-Ga-Seub(坎加習)" in Ju-Yeok means Puk-Bang-Su(The North Water) which also has two characters, charging and discharging, ascending and descending. The beginning and the end. And One Eum and Two Yang of Ri Sign of divination(離卦) cannot be divided into Su-Jang and Wha-Jang, the same as that, One Yang and Two Eum of Kam Sign of divination(坎卦) is Puk-Bang-Han-Su which cannot be divided into Shin and Myung-Mun. The theory of Choa-Shin-Woo-Myung-Mun of Nan-Kyung is the result that the Shin which has two characters is regarded as two organs. Therefore, from the viewpoint of Nae-Kyung and Ju-Yeok, the Seok-Kok's opinion that the Shin is the Puk-Bang-Han-Su which charges from the right and discharges to the left is more proper. 3. For the first time, the right kidney(Woo-Shin) defined as Myung-Mun in the Nan-Kyung and it is trailblazing theory which dosen't exist in the Nae-Kyung. But from the viewpoint of Nae-Kyung, Myung-Mun-Shang-Wha which some oriental medical doctors thought importantly is considered as Shim-Po which is in charge of the order of Shim(心命). 4. The rush of heat to the upper part(上熱) is raised by blind acting of Shang-Wha which exists in the lower part. This theory is on the basis of the Myung-Mun-Shang-Wha theory of Nan-Kyung. The theory that Wha is in the Shin(Kidney) doesn't exist and only the theory exists that the fever happens by the Kun-Wha not going down but ascending in the Nae-Kyung. Therefore the Shang-Wha blind acting theory of the lower part is not coincided with the theory of Nae-Kyung. 5. When the Vital power(陽氣) is blocked by bad tendencies(邪氣) like uncontrolled joy and anger or too much cold and heat etc, the trapped heat(鬱熱) or Ascending Shang-Wha apper, so Vital power itself cannot have blind activity or excess. Therefore, the theory of oriental medical doctors that the remaining vital power is the fire(氣有餘便是火) cannot be materialized. 6. On the basis of the Woo-Shin-Myung-Mun theroy, oriental medical doctors attached importance to Shin-Eum and Shin-Yang. So they emphasized on Ja-Eum-Gang-Wha or On-Bo-Shin-Yang for curing the Fire. Contrarily, On the viewpoint of siding with the vital power which is the Good and repressing the bad tendency which is the Bad, and another viewpoint that when the vital power which is Shim-Kun-Wha moves through the body consistently and fills up the body, then the enery and blood can be made, the Seok-Kok's theory is coincided with the theory of Nae-Kyung.

• The Journal of Korean Medicine
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• v.20 no.2
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• pp.75-87
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• 1999

We reported that acupuncture on $LI_4$ effected thermal change on $LI_4$ and ST25 area, And this study was performed on 100 healthy students to observe the effects of acupuncture at Hap-kok ($LI_4$) according to the meridian and qi-xue(氣血) phenomenon of oriental medicine's theory, The results was 1. In healthy man, mean skin temperatures of $LI_4$, ST25, CV12 areas(Control) were decreased, 2. In left $LI_4$ acupuncture group, the temperature of abdominal skin and $LI_4$ area had the tendency of increase, both right and left $LI_4$ acupuncture group, the temperature of abdominal skin and $LI_4$ area had not significant tendency. 3. In the research of thermal difference which eliminate a special region temperature, in the control group, the thermal changes had not significant tendency, in the left $LI_4$ acupuncture group and both right and left $LI_4$ acupuncture group, the thermal changes had tendency to be increased, 4. In the deviation analysis which mean of each group is excluded, in the control group, it turned out that deviation is regular for 10 minutes; in the left $LI_4$ acupuncture group and both right and left $LI_4$ acupuncture group, it turned out that deviation is more larger than the control group for 10 minutes. The above results indicates that Digital Thermography is a useful method to observe effects and changes by acupuncture stimulation on objective evaluation of phenomenon for the meridian system. Thus, acupuncture on $LI_4$ affects to thermal changes of the abdominal skin and $LI_4$ area, but exact examination of thermal changes on abdominal skin will have to be done.

• Communications of the Korean Mathematical Society
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• v.20 no.4
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• pp.803-812
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• 2005

We construct an infinite family of closed 3-manifolds M(2m+ 1, n, k) which are identification spaces of certain polyhedra P(2m+ 1, n, k), for integers $m\;\ge\;1,\;n\;\ge\;3,\;and\;k\;\ge\;2$. We prove that they are (n / d)- fold cyclic coverings of the 3-sphere branched over certain links $L_{(m,d)}$, where d = gcd(n, k), by handle decomposition of orbifolds. This generalizes the results in [3] and [2] as a particular case m = 2.

• Journal of the Korean Mathematical Society
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• v.39 no.6
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• pp.821-879
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• 2002

Let U, V and W be complex vector spaces of dimensions 3, 3 and 4 respectively. The reductive algebraic group G = PGL(U) $\times$ PGL(W) $\times$ PGL(W) acts linearly on the projective tensor product space (equation omitted). In this paper, we show that the G-equivalence classes of the projective tensors are in one-to-one correspondence with the PGL(3)-equivalence classes of unordered configurations of six points on the projective plane.

• Journal of the Korean Mathematical Society
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• v.35 no.4
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• pp.961-980
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• 1998

The cyclically presented groups which arise as fundamental groups of cyclic branched coverings of the knot $5_2$ are studied. The fundamental polyhedra for these groups are described. Moreover the cyclic covering manifolds are obtained in terms of Dehn surgery and as two-fold branched coverings of the 3-sphere.