• Journal of Korean Ophthalmic Optics Society
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• v.1 no.2
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• pp.71-76
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• 1996

As the results of measurement of the radius of corneal curvature with keratometer, for the right eye of 91 male adults, horizontal radius is 7.16 mm to 8.49 mm and vertical radius is 7.03 mm to 8.34 mm, and for the left eye of male adults, horizontal radius is 7.10 mm to 8.48 mm and vertical radius is 7.01 mm to 8.24 mm. In case of 61 female adults, horizontal radius is 7.16 mm to 8.45 mm, vertical radius 7.11 mm to 8.18 mm for the right eye, and horizontal radius 7.15 mm 108.43 mm and vertical radius 7.01 mm to 8.26 mm for the left eye. The mean value of radius of corneal curvature is 7.74 mm for male and 7.69 mm for female. Also the mean value of horizontal radius is 7.79 mm and vertical radius is 7.64 mm. Overall mean value of the radius of corneal curvature is 7.71 mm that is corresponded to Gullstrand's eye. The horizontal radius is 0.15 mm bigger than vertical radius.

• Journal of Korean Ophthalmic Optics Society
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• v.11 no.3
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• pp.181-185
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• 2006

The measurement of the radius of corneal curvature with keratometer was followed in 184 university students who wearing RGP contact lens and consisted of female(167), male(17) and keratoconus patients(3). Overall mean value in the radius of corneal curvature is 7.77mm, and right and left eyes is appeared the same mean value. Overall mean value in horizontal and vertical is 7.88mm and 7.65mm. Horizontal means is larger than vertical means by 0.22mm of the all female and male students. Male's mean value in the radius of corneal curvature(7.84mm) is larger than female's by 0.08mm, and right and left eyes is also the same mean value. Keratoconus patients' mean value in the radius of corneal curvature(6.86mm) is smaller than others students by 0.91mm.

• Journal of Korean Ophthalmic Optics Society
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• v.9 no.2
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• pp.211-221
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• 2004

The purpose of this study is to evaluate the distribution and change of curvature of the anterior corneal surface with age in emmetropia. 504 subjects who have emmetroia with good naked vision of at least 0.6-1.0 (spherical equivalent: +0.75D- -0.75D) participated in this study. The 504 subjects into 8 groups with 10 year interval from 3-year to 83-year, and their corneal curvatures were analyzed using manual keratometry. The results are as follows. In individual analysis: First, regression analysis of corneal curvature radius with age has given an equation: Y = -0.003x + 7.796 (r = -0.26). The average corneal curvature radii was measured to be $7.68{\pm}0.25mm$ at 38.3-year and range was 6.98-8.54 mm. Second, frequency of corneal curvature radius were obtained in 36% between 7.61 and 7.80 mm, 78% between 7.41 and 8.00 mm, 96% between 7.21 and 8.20 mm, 100% between 6.98 and 8.54 mm. Third, as for the comparison of corneal curvature radius with respect to sex, The mean value of male (n = 304, mean: 37.6-year $7.72{\pm}0.24mm$, Range: 7.09-8.54 mm) is larger than that of female (n = 200, mean: 39.3-year $7.62{\pm}0.24mm$, Range: 6.98-8.42 mm) by 0.1mm (p<0.01). In groups analysis: First, regression analysis of corneal curvature radius with age has given an equation: $Y=-0.0066x^2+0.0227x+7.7282$ (r = -0.90). Second, vertical and horizontal curvature radius decreased with age (p < 0.01). Especially the decrease of horizontal curvature radius were more pronounced than the decrease of vertical (horizontal:10-70 age group: 0.38 mm decrease, vertical:10-70 age group: 0.20 mm decrease). Third, difference between steep and flat meridian (astigmatism) progressively decreased with age. (low age group:0.18 mm difference, high age group: 0.08 mm difference). Fourth, the corneal curvature radius of male was larger than female's in total groups(p < 0.01). Consequently, the change of corneal curvature radius with age progressively decreased in all conditions (mean, vertical, horizontal, male, and female) and this change was more outstanding in horizontal rather than in vertical.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.14 no.1
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• pp.35-42
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• 2001

본 연구는 변화곡률 수평 곡선보의 면외 자유진동에 관한 연구이다. 뒴과 회전관성을 고려한 변화곡률 수평 곡선보의 자유진동을 지배하는 상미분방정식이 유도되었고, 이 지배미분방정식을 수치해석하여 곡선보의 고유진동수를 산출하였다. 지배미분방정식을 수치적분하기 위하여 Runge-Kutta method를 이용하였고, 고유진동수를 산출하기 위하여 Regula-Falsi method와 결합한 행렬값 탐사법을 이용하였다. 본 연구의 이론적 타당성을 검증하기 위하여 타문헌의 고유진동수와 비교하였고, 실험실 규모의 모형실험을 실시하여 이론값과 실험값의 고유진동수를 비교하였다. 수치해석의 결과로 무차원 재변수들의 변화에 따른 무차원 고유진동수를 제 3모드까지 산출하였고, 그 결과들을 고찰하였다. 본 연구의 결과는 곡선형 교량 등과 같이 곡선부재로 이루어진 구조물의 설계시에 유용하게 이용될 수 있을 것으로 기대된다.

• Journal of Korean Society of Steel Construction
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• v.24 no.2
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• pp.175-188
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• 2012

A parametric study for varying the radii of curvature is performed with a curved tub girder bridge having three continuous spans. The bracing forces of top lateral bracings from the results of numerical equations are compared to those of 3-dimensional finite element analyses. New modifying factors applicable in computing the nominal member forces of top lateral bracings were suggested. The numerical equations were derived based on one girder system, and it is shown that the numerical equations exhibit some errors compared with 3D FEA results. The main reason for this phenomenon lies on the number of girders. The twin girder system has an external cross-beam between inner and outer girder. It also has larger lateral stiffness than the single girder system. Finally, the distributions by the torsion, bending, distortion, and lateral loading of the top lateral bracing forces were presented in this paper.

• Journal for History of Mathematics
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• v.1 no.1
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• pp.1-8
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• 1984

본 논문에서는 수학적인 사유형식을 시기적으로 수평과 수직의 축에서 관찰할 목적으로 Descartes의 원정리을 생각한다. 이 정리에 잔해서는 지금까지 접척원의 곡률의 연구가 있으며, 특히 내접원, 외접원의 곡률을 중심적으로 수많은 방법으로 다루어지고 있다. 분 논문에서 이들 방법을 일반화하여 고찰하며 특히 독립적으로 연구되어온 화산의 방법과 비교한다.

• Journal of Korean Ophthalmic Optics Society
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• v.16 no.4
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• pp.439-444
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• 2011

Purpose: To represent the shape of toric corea in the elliptical function for the determination of curvature distribution and lacrimal thickness between cornea and contact lens when the lens is fitted. Methods: Topography measurements of corneal curvature and curvature equation derived from the assumed elliptical function were evaluated using the Excel program which included the necessary equation derived. Results: Mathematical expressions for the cornea whose ribbon shaped-topography image, in which the center does not coincide with the corneal apex, can be determined. Conclusions: For the application where the higher accuracy on the cornea is not required, such as higher order aberration, the cornea cal be expressed in the simple elliptical function.

• Journal of Korean Ophthalmic Optics Society
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• v.6 no.2
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• pp.53-57
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• 2001

The corneal structure and function changes somewhat with aging. We were performed the analysis of women college students on the base curve, power, and astigmatism axis of the cornea by keratometer. All women subjects were between the ages of 19 and 20 years. On the corneal base curve. the right eye of the ages of 19 was 7.64 mm in vertical and 7.81 mm in horizontal. But, the left eye was 7.65 mm in vertical and 7.83 mm in horizontal on the other hand, the right and left eye of the ages of 20 was 7.72 mm in vertical and 7.75 mm in horizontal. On the corneal diopter power, the right eye of the ages of 19 was 44.21 diopter in vertical and 43.32 diopter in horizontal. But, the left eye was 44.23 diopter in vertical and 43.24 diopter in horizontal. On the other hand, the right eye of the ages of 20 was 43.67 diopter in vertical and 43.62 diopter in horizontal. But, the left eye was 43.73 diopter in vertical and 43.6 diopter in horizontal. According to the corneal astigmatism axis style, the right eye of the ages of 19 have 83% positive for with the rule astigmatism, and 16% positive for against the rule astigmatism. But, the left eye of the ages of 19 have 86% positive for with the rule astigmatism, and 12% positive for against the rule astigmatism. On the other hand, the right eye of the ages of 19 have 56% positive for with the rule astigmatism, and 44 % positive for against the rule astigmatism. But, the left eye of the ages of 20 have 56% positive for with the rule astigmatism, and 41% positive for against the rule astigmatism. According to the diopter power of corneal astigmatism. The right eye of the ages of 19 have 36% positive for behind 1 diopter and left eye have 31%. But, the right and left eye of the ages of 20 have 37.5%. The right and left eye of the ages of 19 have 42% positive for 1 diopter, and the right eye of the ages of 20 have 34.4% positive for 1 diopter and the left eye have 43.8%. The right eye of the ages of 19 have 12% positive for 2 diopter and left eye have 22%. But, the right eye of the ages of 20 have 15.6% positive for 2 diopter and the left eye have 12%. The right eye of the ages of 19 have 4% positive for 3 diopter and left eye have 3%. But, the left eye of the ages of 20 have 3% positive for 3 diopter and the left eye have 6%. On the other hand, the right eye of ages of 19 have 6% positive over 4 diopter, and the left eye have 2%. But, the right eye of ages of 20 have only 9% positive over 4 diopter.

• The Journal of Engineering Geology
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• v.25 no.2
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• pp.273-280
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• 2015

Delays in horizontal well drilling when encountering heterogeneous sediments can have negative effects on the construction process at a riverbank filtration site. Grain size analysis, including calculation of the coefficient of uniformity and the coefficient of curvature, was conducted on soil samples collected at each drilling depth during the process of drilling horizontal wells. These results were then used to develop a linear equation for estimating drilling velocity using the coefficient of uniformity and the coefficient of curvature as inputs. Testing of the linear equation in other horizontal wells indicates that the equation is most appropriate for coarse-sand-sized and well-sorted sediment. Because this study was conducted in a region with small- to medium-sized streams, more data are needed from larger rivers to modify the general equation. Our results will provide better estimates of drilling velocity, in turn enabling more detailed design and more effective construction management at riverbank filtration sites.

• The korean journal of orthodontics
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• v.38 no.2
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• pp.95-103
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• 2008

Objective: This study was performed to investigate the labio/buccal clinical crown curvatures of Korean permanent teeth and to obtain the curve-ratio data in an attempt to fabricate bracket bases fit for each individual Korean permanent tooth. Methods: Three-dimensional digital models were made from 30 sets of dental casts with normal anatomic structures. According to the FA points, horizontal and vertical reference planes were established and lines were drawn on the tooth surfaces in reference to these planes. The curvature was expressed as the coefficient of a quadratic equation. Lines mesial, distal, gingival and occlusal to the horizontal, vertical reference planes and the FA point were drawn. Results: The curvature measured for each line revealed that there are no significant differences between male and female, except for maxillary canines and maxillary second bicuspids (p > 0.05). There were notable differences in the mesio-distal or gingivo-occlusal curvatures among the mandibular lateral incisors, maxillary canines, maxillary and mandibular first and second bicuspids and first molars (p < 0.05). Conclusions: The labial & buccal crown curvatures of teeth in Korean normal occlusion were measured on the mesial and distal, gingival and occlusal sides respectively in this study. Based on these data, a SWA can be developed to fit the individual features of Korean tooth crowns.