• 대한수학회보
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• 제52권3호
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• pp.963-975
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• 2015

In this paper, we give a representation formula for an isotropic curve with pseudo arc length parameter and define the structure function of such curves. Using the representation formula and the Frenet formula, the isotropic Bertrand curve and k-type isotropic helices are characterized in the 3-dimensional complex space $\mathbb{C}^3$.

• 국제물리치료학회지
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• 제7권2호
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• pp.1006-1010
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• 2016

This study aimed to examine the effects of thoracic cage mobilization on the respiratory function, spinal curve and spinal movement in patients with restrictive lung diseases. The subjects were ten community-dwelling elderly with a restrictive lung diseases when measured using a spirometer($FEV1/FVC{\leq}65%$, FVC<80%). They received an intervention over an eight-week period: three times a week and for 30 minutes a day. SPSS for Windows(ver. 19.0) was used to analyze all the collected data. Independent t-tests were used to examine changes before and after the intervention. The study's results showed statistically significant improvement(p<.05) in forced expiratory volume in 1 second(chage rate: .$24{\pm}.25$), thoracic curve(chage rate: $-2.50{\pm}2.76$), lumbar curve(chage rate: $-.80{\pm}1.32$), thoracic flexion(chage rate: $2.10{\pm}1.52$), thoracic extension(chage rate: $-2.00{\pm}1.25$), lumbar flexion(chage rate: $2.40{\pm}3.13$) and lumbar extension(chage rate: $-1.30{\pm}1.42$). The results of this study suggest that the thoracic cage mobilization contribute to improve pulmonary function in patients with restrictive lung disease.

• 한국산림과학회지
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• 제83권4호
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• pp.521-530
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• 1994

재적식(材積式)은 보통 흉고직경과 수고의 함수로 표현되는데, 회귀분석(回歸分析)을 통해 정확도가 높은 식이 주로 채택되고 있다. 우리나라에서도 지금까지 흉고직경(D)과 수고(H)를 독립변수로 하는 지수식(指數式)($V=aD^bH^c$)으로 각 수종에 대한 일반(一般)재적식을 유도하고 있다. 본 연구에서는 강원도 지방내의 홍천, 정선, 명주, 원주, 영월지역에 대한 간곡선식(幹曲線式)을 지역별로 유도하고, 이 간곡선식의 회전체(回轉體) 적분(積分)을 통해 지역별 재적을 직접 추정할 수 있는 간곡선 및 재적식 모델을 마련하였다. 조제된 모델에 의해 지역별로 추정된 재적은 기존의 강원도 지방 소나무재적표에 의해 추정된 재적에 비해 정확도가 높았다. 또한 지역간곡선식에 의해 유도된 간곡선의 형태는 지역에 따라 서로 달랐으며, 특히 영월지역과 원주지역의 수간은 다른 지역에 비해 수간상부에서 가늘게 발달하는 것으로 나타났다. 이와같은 간곡선의 다양한 형태는 재적추정에 있어서도 지역간 차이를 유발하였다.

• Communications for Statistical Applications and Methods
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• 제23권3호
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• pp.189-201
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• 2016

In survival analysis, the Nelson-Aalen estimator and Peterson estimator are often used to estimate a cumulative hazard function in randomly right censored data. In this paper, we suggested the smoothing version of the cumulative hazard function estimators using a Bezier curve. We compare them with the existing estimators including a kernel smooth version of the Nelson-Aalen estimator and the Peterson estimator in the sense of mean integrated square error to show through numerical studies that the proposed estimators are better than existing ones. Further, we applied our method to the Cox regression where covariates are used as predictors and suggested a survival function estimation at a given covariate.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2001년도 춘계학술대회논문집B
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• pp.48-52
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• 2001

In this paper presents an accurate AFM used that is free from the Z-directional distortion of a servo actuator is described. Two mathematical correction methods by the in-situ self-calibrationare employed in this AFM. One is the method by the integration, and the other is the method by inverse function of the calibration curve. The in situ self-calibration method by the integration, the derivative of the calibration curve function of the PZT actuator is calculated from the profile measurement data sets which are obtained by repeating measurements after a small Z-directional shift. Input displacement at each sampling point is approximately estimated first by using a straight calibration line. The derivative is integrated with reference to the approximate input to obtain the approximate calibration curve. Then the approximation of the input value of each sampling point is improved using the obtained calibration curve. Next the integral of the derivative is improved using the newly estimated input values. As a result of repeating these improving process, the calibration curve converges to the correct one, and the distortion of the AFM image can be corrected. In the in situ self-calibration through evaluating the inverse function of the calibration curve, the profile measurement data sets were used during the data processing technique. Principles and experimental results of the two methods are presented.

• 충청수학회지
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• 제27권2호
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• pp.211-218
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• 2014

In 3-dimensional Euclidean space, the geometric figures of a regular curve are completely determined by the curvature function and the torsion function of the curve, and surfaces are the fundamental curved spaces for pioneering study in modern geometry as well as in classical differential geometry. In this paper, we define parametrizations for surface by using parametric functions whose images are in the normal plane of each point on a given curve, and then obtain some results relating the Gaussian curvature of the surface with curvature and torsion of the given curve. In particular, we find some conditions for the surface to have either nonpositive Gaussian curvature or nonnegative Gaussian curvature.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 2004년도 추계학술대회 논문집
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• pp.317-322
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• 2004

Productivity of shoe industry in Korea is still more excellent then that of China or Vietnam, But manufacturing technology and productive facility are underdevelopment in comparison advanced country. CAD/CAM system development, one of the most important technology, is totally nonexistent. specially, the automatic generation function and the grading function in shoe sole modeling are dependent of the foreign software. The CAD/CAM software only for shoe modeling is very expensive, so that it is going to weaken shoe industry of Korea. Therefore, We developed 3D gauge curve generation method using 2D NURBS curve in shoe sole modeling.

• Journal of applied mathematics & informatics
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• 제35권1_2호
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• pp.75-82
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• 2017

In this paper, we investigate the proper shape and location of the maximum curve of transcendental entire functions $e^{az^2+bz+c}$. We show that the alpha curve of $e^{az^2+bz+c}$ is a subset of a rectangular hyperbola, and the maximum curve is the connected set originating from the origin as a subset of the alpha curve.

• Computers and Concrete
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• 제4권6호
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• pp.425-436
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• 2007

This study is mainly focused on applying Fuller's ideal gradation curve to theoretically design blended ratio of all solid materials of a reactive powder mortar (RPM), also known as reactive powder concrete (RPC), with the aid of error function, and then to study the effect of fly ash/slag on the performance of RPM. The solid particle is assumed to be spherical particles. Then, the void volume of paste ($V_{\nu}$) and the paste content with specific quality can be obtained. As conclusion, under Fuller's ideal grading curve, the amount of fly ash/slag mixture is higher than that with silica fume along due to it better filled the void within solid particle and obtains higher packing density.

• 한국농공학회논문집
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• 제55권4호
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• pp.1-11
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• 2013

Unsaturated hydraulic conductivity function is one of key parameters to solve the flow phenomena in problems of landslide. Prediction models for hydraulic conductivity function related to soil-water retention curve equations in many geotechnical applications have been still used instead of direct measurement of the hydraulic conductivity function since prediction models from soil-water retention curve equations are attractive for their fast and easy use and low cost. However, many researchers found that prediction models for the hydraulic conductivity function can not predict the hydraulic conductivity exactly in comparison with experimental outputs. This research introduced an inverse analysis to evaluate the hydraulic conductivity function corresponding to experimental output from the flow pump system. Optimisation process was carried out to obtain the hydraulic conductivity function. This research showed that the inverse analysis with flow pump system was suitable to assess the hydraulic conductivity in unsaturated soil, and the prediction models for the hydraulic conductivity were led to the significant discrepancy from actual experimental outputs.