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A SINGULAR FUNCTION FROM STURMIAN CONTINUED FRACTIONS

  • Kwon, DoYong
    • Journal of the Korean Mathematical Society
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    • v.56 no.4
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    • pp.1049-1061
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    • 2019
  • For ${\alpha}{\geq}1$, let $s_{\alpha}(n)={\lceil}{\alpha}n{\rceil}-{\lceil}{\alpha}(n-1){\rceil}$. A continued fraction $C({\alpha})=[0;s_{\alpha}(1),s_{\alpha}(2),{\ldots}]$ is considered and analyzed. Appealing to Diophantine approximation, we investigate the differentiability of $C({\alpha})$, and then show its singularity.

Microcrystalline Silicon Film Growth on a Fluoride Film Coated Glass Substrate

  • Kim, Do-Young;Park, Joong-Hyun;Ahn, Byung-Jae;Yoo, Jin-Su;Yi, Jun-Sin
    • 한국정보디스플레이학회:학술대회논문집
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    • 2002.08a
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    • pp.526-529
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    • 2002
  • Various fluoride films on a glass substrate were prepared and characterized in order to determine the best seed layer for a microcrystalline silicon (${\mu}c$-Si) film growth. Among the various group-IIA-fluoride systems, the $CaF_2$films on glass substrates illustrated (220) preferential orientation and a lattice mismatch of less than 0.7% with Si. $CaF_2$ films exhibited a dielectric constant between $4.1{\sim}5.2$ and an interface trap density ($D_{it}$ as low as $1.8{\times}10^{11}\;cm^{-2}eV^1$. Using the $CaF_2$/glass structure, we were able to achieve an improved ${\mu}c$-Si film at a process temperature of 300 $^{\circ}C$. We have achieved the ${\mu}c$-Si films with a crystalline volume fraction of 65%, a grain size of 700 ${\AA}$, and an activation energy of 0.49 eV.

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Characterization of the Ryanodine Receptor and SERCA in Fetal, Neonatal, and Adult Rat Hearts

  • Ramesh, Venkat;Kresch, Mitchell J.;Park, Woo-Jin;Kim, Do-Han
    • BMB Reports
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    • v.34 no.6
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    • pp.573-577
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    • 2001
  • The mammalian heart is known to undergo significant mechanical changes during fetal and neonatal development. The objective of this study was to define the ontogeny of the ryanodine receptor/$Ca^{2+}$ release channel and SERCA that play the major roles in excitation-contraction coupling. Whole ventricular homogenates of fetal (F) (19 and 22 days in gestation), postnatal (N) (1 and 7 days postnatal), and adult (A) (5 weeks postnatal) Sprague-Dawley rat hearts were used to study [$^3H$]ryanodine binding and oxalate-supported $^{45}Ca^{2+}$ uptake. For the ryanodine receptor, the major findings were: (1) The ryanodine receptor density, as determined by maximal [$^3H$]ryanodine binding ($B_{max}$), increased 3 fold between the F22 and A periods ($0.26{\pm}0.1$ vs. $0.73{\pm}0.07$ pmoles/mg protein, p<0.01), whereas there was no significant change during the F22 and N1 development phases ($0.26{\pm}0.1$ vs. $0.34{\pm}0.01$). (2) Affinity of the ryanodine receptor to ryanodine did not significantly change, as suggested by the lack of change in the $K_d$ during the development and maturation. For SERCA, changes started early with an increased rate of $Ca^{2+}$ uptake in the fetal periods (F19: $8.1{\pm}1.1$ vs. F22: $19.3{\pm}2.2$ nmoles/g protein/min; p<0.05) and peaked by 7 days (N7) of the postnatal age ($34.9{\pm}2.1$). Thus, we conclude that the quantitative changes occur in the ryanodine receptor during myocardial development. Also, the maturation of the $Ca^{2+}$ uptake appears to start earlier than that of the $Ca^{2+}$ release.

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Changes in Chemical Properties of Paddy Field Soils as Influenced by Regional Topography in Jeonbuk Province (지형특성에 따른 전북지역 논토양 화학성 변화)

  • Ahn, Byung-Koo;Lee, Jin-Ho;Kim, Kab-Cheol;Kim, Hyung-Gook;Jeong, Seong-Soo;Jeon, Hye-Won;Zhang, Yong-Sun
    • Korean Journal of Soil Science and Fertilizer
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    • v.45 no.3
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    • pp.393-398
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    • 2012
  • We investigated the changes in chemical properties of paddy field soils at 300 different sampling sites containing 4 topography in Jeonbuk province, Korea. The soil samples were collected 43.0% from local valley and fans, 39.3% from fluvio-marine deposits, 15.0% from alluvial plains, and 2.7% from diluvium sites. The optimal values of soil properties in the total soil samples were as follows: 65.3% of total samples in soil pH value, 48.3% of total samples in cation exchange capacity (CEC) value, and 22.3% of total samples in available phosphorus content, whereas the deficient values of soil properties were 63.3% of total samples in soil organic matter (SOM) content, 75.7% of total samples in available silicate content, and 61.3%, 51.0%, and 59.3% of total samples in exchangeable $K^+$, $Ca^{2+}$, and $Mg^{2+}$ concentrations, respectively. There were different soil types in the paddy fields: that is, 34.4% immature paddy and 33.6% sandy paddy in the local valley and fans, 57.8% sandy paddy in the alluvial plains, 47.4% normal paddy in the fluvio-marine deposits, and 75.7% immature paddy in the diluvium. Soil textures were also different: 53.5% loam in the local valley and fans, 37.8% sandy loam in the alluvial plains, and 55.1% silty loam in the fluvio-marine deposits. Soil pH and SOM contents were not different among the different topographical sampling sites. However, the mean value of available phosphorus content, 224 mg $kg^{-1}$, was exceeded optimal values in the diluvium. The contents of exchangeable cations were optimal in all the sites, except exchangeable $Ca^{2+}$ contents in the local valley and fans. The contents of available silicate ranged between 112 and 127 mg $kg^{-1}$ in all the sites, which were lower than optimal value. In addition, soil pH values were proportionally correlated to the order of available silicate, exchangeable $Ca^{2+}$, $Mg^{2+}$, $Na^+$, CEC, and exchangeable $K^+$. The contents of SOM were proportionally correlated to the order of CEC, available $P_2O_5$, exchangeable $Ca^{2+}$, and available silicate. The contents of heavy metals, Cd, Cr, Cu, Ni, Pb, and Zn, were only 10% of the threshold levels of the metals, and As content was about 20 to 30% of the threshold level.

Characteristics of Fe Reduction Process of Shallow Groundwater in a Reclaimed Area, Kim-je (김제시 간척지역 천부 지하수내 철 환원작용 특성에 대한 고찰)

  • Kim, Ji-Hoon;Cheong, Tae-Jin;Ryu, Jong-Sik;Kim, Rak-Hyeon
    • Economic and Environmental Geology
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    • v.46 no.1
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    • pp.39-50
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    • 2013
  • The study area is located on the western coastal region of Korea, partly had been reclaimed lands. Groundwaters of the coastal area show lower Eh and DO values (Eh: 0.57 V ${\rightarrow}$ 0.13 V, DO; 9.7 mg/l ${\rightarrow}$ 1.3 mg/l), and higher Fe concentrations (> 20 mg/l) than those of the inner land (< 0.3 mg/l), indicating that the redox condition of groundwater changes from oxic into suboxic/anoxic conditions as it flows from the inland toward the coastal area. In addition, Fe speciation of groundwater from the coastal area demonstrates that the most dissolved Fe exist as $Fe^{2+}$, reflecting that groundwater is under the anoxic condition to sufficiently occur Fe reduction. According to the result of Fe extraction with the sediment samples from three wells (A, B, C), the sediments provide enough $Fe^{3+}$ to occur the Fe reduction in the groundwater. Integrated all results of the groundwater and sediment, we infer that the Fe reduction to occur in groundwater is associated with the reclamation processes of the study area.

MANDIBULAR DISTRACTION OSTEOGENESIS WITH COMPRESSION FORCE - BONE DENSITY, HISTOLOGICAL FINDINGS AND TMJ RESPONSE (압축력을 병용한 하악골 신장술)

  • Hwang, Young-Seob;Heo, June;Kim, Uk-Kyu;Park, Seong-Jin;Hwang, Dae-Seok;Kim, Yong-Deok;Chung, In-Kyo;Kim, Kyu-Cheon
    • Maxillofacial Plastic and Reconstructive Surgery
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    • v.28 no.6
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    • pp.531-548
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    • 2006
  • The purpose of this study was to investigate the biomechanical, histologic findings of distracted regenerate and TMJ response in modified distraction osteogenesis (DO) technique combined with compression force as biomechanical stimulation method which has been suggested in 2002, and developed thereafter by authors. This study was performed with two experiments. First experiment was designed to explore the optimal ratio of compression force versus distraction force for the new DO technique. Second experiment was planned to evaluate the reaction of TMJ tissue, especially condyle, disc after application of the DO technique with compression force. Total 52 New Zealand adult male-rabbits with 3.0kg body weight were used for the study. For the first study, 30 adult male-rabbits underwent osteotomy at one side of mandibular body and a external distraction device was applied on each rabbit with same manner. In the control group of 10 rabbits, final 8 mm of distraction with 1 mm rate per day was done with conventional DO technique after 5 latency days. For the experimental group of 20 rabbits, a compression force with 1 mm rate per day was added to the distracted mandible on 3-latency day after over-distraction (over-lengthening). As the amount of the rate of compression versus distraction, experimental subgroup I (10 rabbits) was set up as 2 mm compression versus 10 mm distraction (1/5) and experimental subgroup II (10 rabbits) was set up as 3 mm compression versus 11 mm distraction (about 1/3). All 30 rabbits were set up to obtain final 8 mm distraction and sacrificed on postoperative 55 day to analysis on biomechanical, and histologic findings of the bone regenerates. For second study, 22 adult male-rabbits were used to evaluate TMJ response after the DO method application with compression force. In the control group, 10 rabbits was used to be performed with conventional DO method, on the other hand, in a experimental group of 10 rabbits, 10 mm distraction with 2 mm compression (1/5 ratio) was done. The remaining 2 rabbits served as the normal control group. Histomorphologic examinations on both condyle, histological studies on condyle, disc were done at 1, 2, 3, 4, 7 weeks after distraction force application. The results were as follows: 1. On the bone density findings, the experimental group II (force ratio - 1/3) showed higher bone density than the other experimental group (force ratio - 1/5) and control group (control group - $0,2906\;g/cm^2$, experimental group I - $0.2961\;g/cm^2$, experimental group II - $0.3328\;g/cm^2$). 2. In the histologic findings, more rapid bone maturation like as wide lamellar bone site, more trabeculae formation was observed in two experimental groups compared to the conventional DO control group. 3. In morphologic findings of condyle, there were no differences of size and architecture in the condyle in the control and experimental groups. 4. In histologic findings of condyles, there were thicker fiberous and proliferative layers in experimental group than those of control group until 2 weeks after distraction with compression force. But, no differences were seen between two groups on 3, 4, 7 weeks after compression. 5. In histologic findings of disc, more collagen contents in extracellular matrix, more regular fiber bundles, and less elastin fibers were seen in experimental group than control group until 2 weeks after distraction with compression. But, no differences were seen between two groups on 3, 4, 7 weeks after distraction with compression. From this study, we could identify that the new distraction osteogenesis technique with compression stimulation might improve the quality of bone regeneration. The no remarkable differences on TMJ response between control and experimental groups were seen and TMJ tissues were recovered similarly to normal TMJ condition after 3 weeks.

New Record of the Brassy Trevally, Caranx papuensis (Carangidae, Perciformes) in Jeju Island of Korea (한국 제주 연안에서 채집된 전갱이과(Carangdiae) 어류, Caranx papuensis의 첫 기록)

  • Hyeon-Jeong Kim;Do-Hyun Oh;Jin-Koo Kim
    • Korean Journal of Ichthyology
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    • v.36 no.2
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    • pp.199-206
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    • 2024
  • A single specimen belonging to the family Carangidae was first collected by angling in Seogwi-dong, Seogwipo-si, Jeju-do on 16 October 2023. This individual was identified as Caranx papuensis Alleyne & MacLeay based on morphological traits as following: lateral line gently curving below the first dorsal fin, presence of scaleless area on the thorax, and gill rakers 26. A total of 619 base pairs sequences of the mitochondrial DNA cytochrome c oxidase subunit I region was analyzed, and we found it closely matched to the Japanese C. papuensis (K2P distance=0.54%). We propose its new Korean name "Hwang-jul-jeon-gang-i" based on a yellow band along the lateral line.

ON THE IDEAL CLASS GROUPS OF ℤp-EXTENSIONS OVER REAL ABELIAN FIELDS

  • Kim, Jae Moon;Ryu, Ja Do
    • Korean Journal of Mathematics
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    • v.7 no.2
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    • pp.227-233
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    • 1999
  • Let $k$ be a real abelian field and $k_{\infty}={\bigcup}_{n{\geq}0}k_n$ be its $\mathbb{Z}_p$-extension for an odd prime $p$. For each $n{\geq}0$, we denote the class number of $k_n$ by $h_n$. The following is a well known theorem: Theorem. Suppose $p$ remains inert in $k$ and the prime ideal of $k$ above $p$ totally ramifies in $k_{\infty}$. Then $p{\nmid}h_0$ if and only if $p{\nmid}h_n$ for all $n{\geq}0$. The aim of this paper is to generalize above theorem: Theorem 1. Suppose $H^1(G_n,E_n){\simeq}(\mathbb{Z}/p^n\mathbb{Z})^l$, where $l$ is the number of prime ideals of $k$ above $p$. Then $p{\nmid}h_0$ if and only if $p{\nmid}h_n$. Theorem 2. Let $k$ be a real quadratic field. Suppose that $H^1(G_1,E_1){\simeq}(\mathbb{Z}/p\mathbb{Z})^l$. Then $p{\nmid}h_0$ if and only if $p{\nmid}h_n$ for all $n{\geq}0$.

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Needs of Home Exercise for Arthritic Patients (관절염 환자의 가정운동에 대한 요구도 조사)

  • Kil, Suk-Yong;Kim, Myung-Ja
    • Journal of muscle and joint health
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    • v.4 no.1
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    • pp.61-73
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    • 1997
  • This study deals with needs assessment for home exercise of 233 arthritis patients, who visited 2 university hospitals in Seoul from May 27. to June. 15. 1996. Data was collected through the interview with them. As a result, we came to the following points. 1. Seventy five percent of all interviewees expressed strong will to home exercise, if they know how to do. 2. With no partners for life. the needs for home exercise were higher than those who have (P=0.016). 3. Christians(87.1%) and Catholics(86.4%) had more the need for home exercise those who have Buddhist(70.9%) and atheist (60%) (P=0.002). 4. In the direct ratio to level of education. the need for home exercise was high (P=0.027). 5. In the inverse ratio to age. the need for home exercise was high(t=6.20. P=0.0000). 6. Patients with arthritis for relatively short period of time had more than those who had long period of the disease need for home exercise(t=3.36, P=0.0013). 7. Those who have long distance from hospital had more needs for home exercise than those who line in short distance (t=3.15 P=0.002) 8. When average cost of hospital visit for each time is much. then need for home exercise was high(t=4.20, P=0.0001).

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The Clinical Evaluation of East-West Medical Management for Central Poststroke Pain (뇌졸중후 중추성 통증에 대한 동서협진의 임상적 효율성 평가)

  • Cheong, Byung-Shik;Kim, Keon-Sik;Lee, Doo-Ik;Choi, Do-Young
    • Journal of Pharmacopuncture
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    • v.4 no.2
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    • pp.95-103
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    • 2001
  • Background : Central poststroke pain(CPSP) can occur as a result of lesion or dysfunction of the brain from stroke and may cause many difficulty in the social activities and daily life. In this study, we evaluate the clinical effectiveness of east-west medical management for CPSP through VAS(visual analogue scale), infrared themography, MBI(Moderfied Barthel Index) and Rankin scale. Methods : We treated thirty patients with oriental medical treatment method and western & oriental medical treatment method. Each group has fifteen patients of the CPSP. We evaluated their pain(characterizes tingling and burning sensation, aching, hyperalgesia, and allodynia) through VAS(visual analog scale) pain score, the skin temperature of pain site by infrared thermography and assessed their mobility & rehabilitation ability through MBI(Moderfied Barthel Index), Rankin scale before and after pain treatment. Results : The skin temperature of pain site was lower than non-pain site. The difference of skin temperature improved from $0.65{\pm}0.45^{\circ}C$ to $0.39{\pm}0.25^{\circ}C$ after oriental medical treatment and $0.68{\pm}0.54^{\circ}C$ to $0.27{\pm}0.24^{\circ}C$ after western & oriental medical treatment VAS scores improved from $7.9{\pm}1.4$ to $4.7{\pm}1.6$ after oriental medical treatment and $8.1{\pm}1.3$ to $4.6{\pm}1.2$ after western & oriental medical treatment. MBI scores improved from $61.40{\pm}13.58$ to $85.00{\pm}13.85$ after oriental medical treatment and $52.26{\pm}13.52$ to $77.13{\pm}12.04$ after western & oriental medical treatment. And Rankin scale scores improved from $3.33{\pm}0.72$ to $2.46{\pm}0.74$ after oriental medical treatment and $3.60{\pm}0.82$ to $2.66{\pm}0.81$ after western & oriental medical treatment Conclusion : The difference of skin temperature and Rankin scale scores more significantly improved after western & oriental medical treatment than oriental medical treatment. According to the results, we thought east-west medical management is very useful treatment for CPSP and rehabilitation of the patients with stroke.