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Analyzing the Modes of Mathematically Gifted Students' Visualization on the Duality of Regular Polyhedrons (다면체의 쌍대 탐구 과정에서 초등수학영재들이 보여주는 시각화 방법 분석)

  • Lee, Jin Soo;Song, Sang Hun
    • Journal of Elementary Mathematics Education in Korea
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    • v.17 no.2
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    • pp.351-370
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    • 2013
  • The purpose of this study is to analyze the modes of visualization which appears in the process of thinking that mathematically gifted 6th grade students get to understand components of the three-dimensional shapes on the duality of regular polyhedrons, find the duality relation between the relations of such components, and further explore on whether such duality relation comes into existence in other regular polyhedrons. The results identified in this study are as follows: First, as components required for the process of exploring the duality relation of polyhedrons, there exist primary elements such as the number of faces, the number of vertexes, and the number of edges, and secondary elements such as the number of vertexes gathered at the same face and the number of faces gathered at the same vertex. Second, when exploring the duality relation of regular polyhedrons, mathematically gifted students solved the problems by using various modes of spatial visualization. They tried mainly to use visual distinction, dimension conversion, figure-background perception, position perception, ability to create a new thing, pattern transformation, and rearrangement. In this study, by investigating students' reactions which can appear in the process of exploring geometry problems and analyzing such reactions in conjunction with modes of visualization, modes of spatial visualization which are frequently used by a majority of students have been investigated and reactions relating to spatial visualization that a few students creatively used have been examined. Through such various reactions, the students' thinking in exploring three dimensional shapes could be understood.

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Relationship between fish assemblages community and Streamline complexity (어류군집 특성과 하안형태복잡도와의 관계)

  • Kim, Jin-Ah;Lee, Sang-Woo;Hwang, Gil-Son;Kim, Chulgoo
    • Journal of the Korean Society of Environmental Restoration Technology
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    • v.15 no.2
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    • pp.19-29
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    • 2012
  • Numerous studies suggested that fish assemblage structure reflects the status of stream ecosystems. The status of streams integrity, including various trophic levels, water quality and habitat degradation, can be assessed by fish assemblages. In this study, we investigated the relationships between fish assemblages and streamline geometry of streams. Previous studies suggested that geomorphologic parameter can be a critical factor of permeability between adjacent two systems. From a landscape ecological perspective, edges may partially control the flow rate of energy between two adjacent systems. Thus, the Streamline geometry can be a geomorphologic parameter that exhibits the integrity of stream. We selected the Nakdong river for study areas, which is one of major rivers and the longest (525 km) River in South Korea. We used the revised IBI representing overall ecological characteristics of Korean fish assemblages and eight sub-assessment criteria of IBI, collected from 82 sampling sites in the Nakdong River. For calculating the Streamline geometry, we measured fractal dimension index that generally used in biology, ecology and landscape ecology. We used the digital land-use/land-cover map and generated a 1-km buffer for each sampling site and refined the shape of the Streamlines. Pearson correlation analyses were performed between Streamline geometry and IBI and sub-assessment criteria of IBI. The results show that IBI and eight sub-assessments of fish are significantly correlated with geometry of Streamline. The fractal dimension of Streamline geometry were related with IBI (r = 0.48) and six sub-assessments of IBI, including total number of native fish and native species, the number of riffle benthic species, sensitive species, tolerant species and native insectivore. Especially, the number of tolerant species(r = -0.52) and native insectivore(r = 0.52) show strong correlation with geometry of Streamline. These results indicate that lower Streamline geometry can result in poor fish assemblages, while higher geometry of Streamline can enhance fish assemblages by potentially supplying insects and better habitat conditions. We expect the results of our study to be useful for stream restoration and management. However, we see the necessity of study investigating the mechanisms how Streamline geometry affect fish assemblages.

THE EXPERIMENTAL STUDY ON BONE HEALING AROUND TITANIUM IMPLANTS PLACED IN IRRADIATED RAT'S TIBIAE (방사선 조사 백서 경골에 티타늄 임플랜트 매식후 골 치유에 관한 연구)

  • Kwak, Byung-Hak;Kim, Jong-Ryoul;Park, Bong-Soo;Shin, Sang-Hoon;Sung, Iel-Yong
    • Journal of the Korean Association of Oral and Maxillofacial Surgeons
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    • v.29 no.6
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    • pp.379-391
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    • 2003
  • The present study was undertaken to evaluate bone regenerative capacity around titanium screw implants placed in irradiated rat's tibiae. At one week after single 15-Gy dose irradiation, miniaturized titanium screw implants were inserted into anterior aspect of the upper tibia of rats weighing 200-250g. Seventy rats were involved: 35 rats were control and 35 rats radiation group. The rats were killed at different intervals as 1, 2, 3, 4, 6, 8, 12 weeks after implantation for histologic observation, histomorphometric analysis and immunohistochemical study with fibronectin and CD34 antibody. 1. Histologically, various stages of bone maturation and ossification can be seen at 4 weeks and regenerated bone close to edges demonstrates more advanced calcification, and network of new bone are well formed at 12 weeks in non-irradiated group. In contrast, active bone formation with increased contact of newly formed bone to implant surface was noted at 4 weeks and a significant amount of new bone formation and bone-implant contact is oberved at 12 weeks in irradiated group. 2. Histomorphometrical analysis confirmed these histologic findings. A significant difference in implant-bone contact and bone density was measured between the control and radiation group. Mean MBD was 62.2% in control group and 27.5% in radiation group, mean MBIC was 86.6% in control group and 47.7% in radiation group, and mean TBIC was 87.3% in control group and 45.6% in radiation group at 12 weeks after implantation. 3. In immunohistochemical study with fibronectin and CD34, radiation reduced hematopoietic progenitor cells severely and disturbed differentiation of osteoblast in bone marrow. The results of this study revealed bone healing capacity around implant after radiation therapy was severely impaired and irradiation reduces the capacity for osseointegration of titanium implants. Many factors including radiation dose, period between radiation and implantation, bone quality, time elapse between first and second surgery, type of prosthetics and hyperbaric oxygen therapy must be considered carefully in postradiation implantation.

A STUDY ON THE OCCLUSAL PLANE AND THE VERTICAL DIMENSION IN KOREAN ADULTS WITH NATURAL DENTITION (한국 성인 유치악자의 교합평면 및 수직고경에 관한 연구)

  • Park Jeong-Hyeong;Jeong Chang-Mo;Jeon Young-Chan;Lim Jang-Seop
    • The Journal of Korean Academy of Prosthodontics
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    • v.43 no.1
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    • pp.41-51
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    • 2005
  • Statement of problem. Anatomic landmarks have been used in the orientation of occlusal plane and the determination of vertical dimension for edentulous patients. Such as labial vestibules of anterior region and hamular notches, retromolar pads of posterior region are very useful anatomic landmarks for fabrication of occlusion rim because they are to be identified on master casts. Therefore, if average distances between landmarks of maxillae and mandible in dentate subjects are measured and applied, not only occlusal plane but also vertical dimension can be established initially. Purpose. The purpose of this study is to measure vertical distances between anatomic landmarks and to present a guide to the orientation of occlusal plane and the determination of vertical dimension of edentulous patients. Material and method. Upper and lower border-molded casts were made in 93 Korean dentulous subjects, mean age 25 years. Incisal edges of central incisors, bottoms of labial vestibules, hamular notches and the half level of retromolar pads were marked on casts. Measurements of vertical distances from incisal edge of central incisor to the bottom of labial vestibule, between upper and lower bottoms of labial vestibules, from hamular notch to retromolar pad and from hamular notch to the occlusal plane established by the incisal edge of maxillary central incisor and mesiopalatal cusps of both maxillary first molars were made on each cast. Results and conclusion. 1. The mean distance from the incisal edge of central incisor to the bottom of labial vestibule was 20.8mm(SD 1.7) on upper casts and 17.3mm(SD 1.4) on lower casts. 2. The mean distance between both bottoms of labial vestibules of upper and lower casts was 35.0mm(SD 2.7). 3 The mean distance from hamular notch to the half level of retromolar pad was 5.0mm(SD 1.3). 4. The mean distance from hamular notch to occlusal plane was 7.9mm(SD 1.5). 5. Distances from incisal edge of central incisor to labial vestibule on lower casts(P<0.01) and from hamular notch to retromolar pad(P<0.0001) were greater in male than in female.

Monte Carlo Calculation of the Dose Profiles for a 6 MeV Electron Beam with Longitudinal Magnetic Fields (세로 자기장에서 6 MeV 전자선의 선량분포에 관한 몬데칼로 계산)

  • 오영기;정동혁;신교철;김기환;김정기;김진기;김부길;이정옥;문성록
    • Progress in Medical Physics
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    • v.13 no.4
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    • pp.195-201
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    • 2002
  • Several investigators have presented the effects of external magnetic fields on the dose distributions for clinical electron and photon beams. We focus the low energy electron beam with more lateral scatter In this study we calculated the beam profiles for an clinical electron beam of 6 MeV with longitudinal magnetic fields of 0.5 T-3.0 T using a Monte Carlo code. The principle of dose enhancements in the penumbra region is to deflect the laterally scattered electrons from its initial direction by the skewness of the laterally scattered electrons along the direction of magnetic field lines due to Lorentz force under longitudinal magnetic field. To discuss the dose enhancement effect on the penumbra area from the calculated results, we introduced the simple term of penumbra reduction ratio (PRR), which is defined as the percentage difference between the penumbra with and without magnetic field at the same depth. We found that the average PRR are 33%, and 49% over the depths of 1.5 cm, 2.0 cm, and 2.4 cm for the magnetic fields of 2.0 T and 3.0 T respectively. For the case of 0.5 T and 1.0 T the effects of magnetic filed were not observed significantly. In order to obtain the dose enhancement effects by the external magnetic field, we think that its strength should be more than 2 T approximately. We expect that the PRR would be saturated to 50-60% with magnetic fields of 3 T-5 T As a result of these calculations we found that the penumbra widths can be reduced with increased magnetic fields. This Penumbra reduction is explained as a result of electron lateral spread outside the geometrical edges of the beam in a longitudinal magnetic field. This means that the electron therapy benefits from the external magnetic fields.

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Effect of Sputtering Powers on Mg and Ga Co-Doped ZnO Thin Films with Transparent Conducting Characteristics (RF 마그네트론 스퍼터를 이용하여 제작한 MGZO 박막의 구조적 및 전기적, 광학적 특성에 미치는 스퍼터링 전력의 영향)

  • Kim, In Young;Shin, Seung Wook;Kim, Min Sung;Yun, Jae Ho;Heo, Gi Seok;Jeong, Chae Hwan;Moon, Jong-Ha;Lee, Jeong Yong;Kim, Jin Hyoek
    • Korean Journal of Materials Research
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    • v.23 no.3
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    • pp.155-160
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    • 2013
  • ZnO thin films co-doped with Mg and Ga (MxGyZzO, x + y + z = 1, x = 0.05, y = 0.02 and z = 0.93) were prepared on glass substrates by RF magnetron sputtering with different sputtering powers ranging from 100W to 200W at a substrate temperature of $350^{\circ}C$. The effects of the sputtering power on the structural, morphological, electrical, and optical properties of MGZO thin films were investigated. The X-ray diffraction patterns showed that all the MGZO thin films were grown as a hexagonal wurtzite phase with the preferred orientation on the c-axis without secondary phases such as MgO, $Ga_2O_3$, or $ZnGa_2O_4$. The intensity of the diffraction peak from the (0002) plane of the MGZO thin films was enhanced as the sputtering power increased. The (0002) peak positions of the MGZO thin films was shifted toward, a high diffraction angle as the sputtering power increased. Cross-sectional field emission scanning electron microscopy images of the MGZO thin films showed that all of these films had a columnar structure and their thickness increased with an increase in the sputtering power. MGZO thin film deposited at the sputtering power of 200W showed the best electrical characteristics in terms of the carrier concentration ($4.71{\times}10^{20}cm^{-3}$), charge carrier mobility ($10.2cm^2V^{-1}s^{-1}$) and a minimum resistivity ($1.3{\times}10^{-3}{\Omega}cm$). A UV-visible spectroscopy assessment showed that the MGZO thin films had high transmittance of more than 80 % in the visible region and that the absorption edges of MGZO thin films were very sharp and shifted toward the higher wavelength side, from 270 nm to 340 nm, with an increase in the sputtering power. The band-gap energy of MGZO thin films was widened from 3.74 eV to 3.92 eV with the change in the sputtering power.

An Error Analysis of the 3D Automatic Face Recognition Apparatus (3D-AFRA) Hardware (3차원 안면자동분석 사상체질진단기의 Hardware 오차분석)

  • Kwak, Chang-Kyu;Seok, Jae-Hwa;Song, Jung-Hoon;Kim, Hyun-Jin;Hwang, Min-Woo;Yoo, Jung-Hee;Kho, Byung-Hee;Kim, Jong-Won;Lee, Eui-Ju
    • Journal of Sasang Constitutional Medicine
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    • v.19 no.2
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    • pp.22-29
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    • 2007
  • 1. Objectives Sasang Contitutional Medicine, a part of the traditional Korean medical lore, treats illness through a constitutional typing system that categorizespeople into four constitutional types. A few of the important criteria for differentiating the constitutional types are external appearances, inner state of mind, and pathological patterns. We had been developing a 3D Automatic Face Recognition Apparatus (3D-AFRA) in order to evaluate the external appearances with more objectivity. This apparatus provides a 3D image and numerical data on facial configuration, and this study aims to evaluate the mechanical accuracy of the 3D-AFRA hardware. 2. Methods Several objects of different shapes (cube, cylinder, cone, pyramid) were each scanned 10 times using the 3D Automatic Face Recognition Apparatus (3D-AFRA). The results were then compared and analyzed with data retrieved through a laser scanner known for its high accuracy. The error rates were analyzed for each grid point of facial contour scanned with Rapidform2006 (Rapidform2006 is a 3D scanning software that collects grid point data for contours of various products and products and product parts through 3D scanners and other 3D measuring devices; the grid point data thusly acquired is then used to reconstruct highly precise polygon and curvature models). 3. Results and Conclusions The average error rate was 0.22mm for the cube, 0.22mm for the cylinder, 0.125mm for the cone, and 0.172mm for the pyramid. The visual data comparing error rates for measurement figures retrieved with Rapidform2006 is shown in $Fig.3{\sim}Fig.6$. Blue tendency indicates smaller error rates, while red indicates greater error rates The protruding corners of the cube display red, indicating greater error rates. The cylinder shows greater error rates on the edges. The pyramid displays greater error rates on the base surface and around the vertex. The cone also shows greater error around the protruding edge.

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GPR Analysis on Underground Features and Foundation Structure of Cheomseongdae, Gyeongju (GPR 탐사를 통해 본 경주 첨성대 기초 및 주변의 유구 분석)

  • Oh, Hyundok;Kwon, Moonhee;Jang, Hangilro
    • Korean Journal of Heritage: History & Science
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    • v.52 no.4
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    • pp.264-271
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    • 2019
  • Cheomseongdae in Gyeongju, known as an astronomical observatory, is a cultural monument with great historical, academic, and artistic value, as its unique shape is preserved well in its original form. The outer structure, ground stability, and seismic reliability of Cheomseongdae have been assessed by numerous researchers through various scientific methods, but research on the underground structure has been insufficient. This paper contains detailed models of the underground structure of Cheomseongdae interpreted in 2D and 3D images based on the data acquired through GPR surveys conducted of features in and around the base of Cheomseongdae. As a result, the existence of twelve small features arranged in a circle, although only about half of them remain, was confirmed at a depth of 0.4 - 0.6m. Furthermore, a structure three bays long (north-south direction) and four bays wide (east-west direction) was detected beneath Cheomseongdae at the depth of 0.7 - 1.0m. Other than 2 layers of foundations as is known, a square structure with the dimensions of 7m × 7m is situated at a depth of 0.6m, directly under Cheomseongdae, and what is reading that is expected to be the foundation structure of Cheomseongdae was detected and confirmed. This foundation structure is circular with a diameter in the east-west direction of 11m and in the north-south direction of 12m. The northern, western, and eastern edges of this foundation structure are about 1m away from the foundation of Cheomseongdae, whereas the the south side extends to about 5m wide.

Fine needle aspiration biopsy for the diagnosis of fatty liver in cattle (Fine needle aspiration biopsy에 의한 소의 지방간진단(脂肪肝診斷))

  • Hwang, Bum-tae;Han, Hong-ryul
    • Korean Journal of Veterinary Research
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    • v.31 no.1
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    • pp.109-121
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    • 1991
  • This study was carried out to investigate the morbidity of fatty liver in cattle at the abattoir and on the farm, and to cytodiagnose fatty liver in cattle by fine needle aspiration biopsy. Incidence rates of fatty liver in cattle, detected macroscopically or based on hepatic lipid content by buoyancy, were 0.30% in Korean native cows, 4.70% in dairy cows, and 0.15% in dairy bull. Fatty liver was enlarged, swollen with round edges, light weight, and pale to yellow-orange color, but its color was not always correlated to the severity of fatty liver. The findings of fat infiltration of the hepatic lobule were large droplets around central vein, fine droplets in the periphery, and fat infiltration in the perivascular region execpt for most of normal liver and severe fatty liver. The sensitivty, specificity, and accuracy of cytological finding compared with hepatic lipid content by buoyancy were 94.4%, 95.2%, and 94.9% in normal cases, 64.3%, 100%, and 87.2% in mild cases, 100%, 83.3%, and 87.2% in moderate cases, and 100%, 100%, and 100% in sesvere cases, respectively. Cytological findings were well correlated with histological findings. Complications of fine needle aspiration biopsy were not recognized clinically. Consequently, the cytodiagnosis by fine needle aspiration biopsy is simple, rapid, safe, and economical method compared with histological techniques in the diagnosis of fatty liver in cattle.

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Changes in the $Ca^{2+}\;and\;Mg^{2+}$ - dependent Adenosine Triphosphatase Activity and Ultrastructure of Marine Fishes by Partial Freezing III. Changes in the Ultrastructure of Muscle Tissues of Yellowtail during Low-temperature Preservation (a해산어의 부분동결에 의한 $Ca^{2+}\;및\;Mg^{2+}$ -dependent Adenosin Triphosphatase 활성 및 근섬유의 미세구조 변화 III. 저온저장 과정중 방어 근육조직의 미세구조의 변화)

  • 최경호;박찬성
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.20 no.6
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    • pp.629-636
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    • 1991
  • Yellowtail fishes(Seriola quinqueeradiata) were submitted to the storages using ice-cooling($0^{\circ}C$), partial freezing($-3^{\circ}C$) and freezing $-20^{\circ}C$) method. Changes in the structures of muscle during storage at different temperatures were investigated. The ice-cooling and partial freezing storage caused early decomposition of glycogen granules and mitochondrial inner membrane, but it was accorded to much slower manner comparing with that of ice-cooling storage. The scars of ice crystals were appeared after three days of storage. The number and size of the crystal increased as progressing of the storage. They were circular and mostly located between fibers. When using the freezing storage, glycogen granules were mostly found from the muscle cell even after fourteen days of storage. Mitochonidral inner membrane maintained their integrity. The scars of ice crystals were also found, however, different from those of partial freezing storage. Their existing sites were random and their shapes were irregular. In many cases, they located in the fiber and had keen edges. Fibers were broken mostly at the Z-lines on fourteen days of storage. From these results, it was concluded that partial freezing storage can repress autolytic enzymic action and can reduce the physical damage from ice crystals which is caused by freezing.

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