• 대한수학회논문집
• /
• 제11권2호
• /
• pp.349-357
• /
• 1996

Using a special property of Bloch functions with Hardmard gaps and using the geometric properties of the self maps of the unit disc, we give a way of constructing explicit examples of Bloch functions f whose derivative is in $H^p$ (0 < p < 1) but $f \notin BMOA$.

• East Asian mathematical journal
• /
• 제38권3호
• /
• pp.331-338
• /
• 2022

In this paper, we prove that the first nonzero eigenvalues λ₁ of the Laplacian and the p-Laplacian are decreasing along the inverse mean curvature flow with forced term in Euclidean space.

• 한국지역사회생활과학회지
• /
• 제25권3호
• /
• pp.383-388
• /
• 2014

This study was examined the physical characteristics (geometry, yield strength, thousand-seeds weight, true density, and moisture content) required for mechanization-related technologies such as (harvesting, washing, transport, and drying). Large differences in the size and shape of boxthorn berries(Jangmyeong, Bullo, Chungmyeong, and Hokwang) are used to analyze these physical properties. The average diameter, volume, surface area, and sphericity rate are calculated using long and short diameters of the boxthorn berry according to its variety. Hokwang has the largest measured surface area, and Bullo, the smallest. Average yield strength is 1.78 kPa and the mechanical pressure of soft boxthorn berries is not more than 1 kPa. Bullo has the highest true density. The optimum drying time for the measurement of moisture content is 4 hours at the drying temperature of $100^{\circ}C$.

• 공업화학
• /
• 제10권6호
• /
• pp.881-884
• /
• 1999

하이어 풀러렌의 구성요소인 나머지 단위에 대하여 연구하였다. 나머지 단위에 2개의 $C_1$이 존재할 때마다 $C_{90}$의 에너지는 약 11.0 kcal/mol 정도 증가하였으며 나머지 단위의 평면성이 $1.0{\beta}$만큼 증가할 때마다 5.6 kcal/mol 정도의 에너지가 증가하였다. 따라서 46개의 $C_{90}$ 이성질체 중에서 나머지 단위에 $C_1$도 존재하지 않고 나머지 단위의 평면성이 적은 것이 안정하다는 사실을 알 수 있었다. 제 존재가 확인되는 $C_{90}$이성질체들은 이러한 조건을 만족하고 있다.

• 한국CDE학회논문집
• /
• 제12권3호
• /
• pp.220-232
• /
• 2007

Current geometric modeling and analysis are commonly based on B-Rep modeling and a finite elements method respectively. Furthermore, it is difficult to represent an object whose material property is heterogeneous using the B-Rep method because the B-Rep is basically used for homogeneous models. In addition, meshes are required to analyze a property of a model when the finite elements method is applied. However, the process of generating meshes from B-Rep is cumbersome and sometimes difficult especially when the model is deformed as time goes by because the topology of deforming meshes are changed. To overcome those problems in modeling and analysis including homogeneous and heterogeneous materials, we suggest a unified modeling and analysis method based on implicit representation of the model using R-function which is suggested by Rvachev. For implicit modeling of an object a distance field is approximated and blended for a complex object. Using the implicit function mesh-free analysis is possible where meshes are not necessary. Generally mesh-free analysis requires heavy computational cost compared to a finite elements method. To improve the computing time of function evaluation, we utilize GPU programming. Finally, we give an example of a simple pipe design problem and show modeling and analysis process using our unified modeling and analysis method.

• 한국수학교육학회지시리즈A:수학교육
• /
• 제48권1호
• /
• pp.1-20
• /
• 2009

The study was to investigate an effect of students' learning for enhancing spatial ability, using a geometric manipulative recently designed. A mixed methodology was chosen to achieve the purpose of the study. To find students' achievement, 152 of the 8th graders in Kyunggi Do participated in data collection. At the same time. students' performance of the class was videotaped and analyzed to see students' responses, The results showed that the effect of using the manipulative was statistically significant at level, p<.05 to enhance the spatial ability. Specifically, in comparison of each component. spatial orientation was more effective than spatial visualization. In the spatial orientation, the part of field was more effective than the reorganized whole. It showed that students were given more opportunities to find mathematical properties and relations between 2nd and 3rd-dimensional figures through their intuitive observation, and also the manipulative helped the students find the property of the part of field because it gave an easy way to manipulate the property of the find parts of whole which was composed of the frame of the solid figures without surfaces. In using the manipulative, students were very flexible in finding the number of plane figures, but the relations between the 2nd and 3rd dimensional figures need to be clearly guided in consideration of the characteristics of the manipulative, based on the definitions of geometric properties(cf. points can make lines, not surfaces directly).

• International Journal of Aeronautical and Space Sciences
• /
• 제18권2호
• /
• pp.222-235
• /
• 2017

In this study, finite element modeling was used to predict the material properties of tri-axially braided textile composite. The model was made based on an experimental test specimen which was also used to compare the final results. The full interlacing of tows was geometrically modelled, from which repeating parts that make up the whole braid called unit cells were identified based on the geometric and mechanical property periodicity. In order to simulate the repeating nature of the unit cell, periodic boundary conditions were applied. For validation of the method, a reference model was analyzed for which a very good agreement was obtained. Material property calculation was done by simulating uniaxial and pure shear tests on the unit cell. The comparison of these results with that of experimental test results showed an excellent agreement. Finally, parametric study on the effect of number of plies, stacking type (symmetric/anti-symmetric) and stacking phase shift was conducted.

• 한국CDE학회논문집
• /
• 제8권4호
• /
• pp.262-269
• /
• 2003

An approach to compute characteristic curves such as section curves, reflection characteristic lines, and asymptotic curves on a surface is introduced. Each problem is formulated as a surface-plane inter-section problem. A single-valued function that represents the characteristics of a problem constructs a property surface on parametric space. Using a contouring algorithm, the property surface is intersected with a horizontal plane. The solution of the intersection yields a series of points which are mapped into object space to become characteristic curves. The approach proposed in this paper eliminates the use of traditional searching methods or non-linear differential equation solvers. Since the contouring algorithm has been known to be very robust and rapid, most of the problems are solved efficiently in realtime for the purpose of visualization. This approach can be extended to any geometric problem, if used with an appropriate formulation.

• 정보처리학회논문지:소프트웨어 및 데이터공학
• /
• 제8권10호
• /
• pp.421-426
• /
• 2019

본 논문에서는 단백질 복합체에서 단백질 사이의 접촉 영역이 갖는 기하학적 특징을 가시화하는 방법을 제안한다. 단백질 또는 리간드가 요철이 있는 곡면으로 표현될 때, 두 곡면이 서로 접하면서 교차하지 않는 성질을 형태 상보성이라 한다. 단백질-단백질 또는 단백질-리간드 도킹 연구에서 형태 상보성과 화학적인 성질, 엔트로피 등이 접촉 영역의 발견에 중요한 역할을 한다는 것을 볼 수 있다. 일반적으로 형태 상보성이 높은 영역을 발견한 뒤, 이 영역에 속한 아미노산들의 잔기 극성 및 소수성 등을 이용하여 접촉 영역을 예측한다. 접촉 영역을 예측하기 위한 연구에서는 기존에 알려진 복합체에서 접촉 영역이 갖는 기하학적인 특징을 조사하는 작업이 필요하며, 이를 위해 기하학적인 특징을 가시화하는 작업은 필수적이다. 본 논문에서는 단백질 복합체에서 접촉 영역을 발견하고, 두 개의 단백질 각각의 접촉 면에 속한 근거리의 정점들의 기하학적인 특징을 법선 벡터 및 평균 곡률로써 가시화하는 방법을 제안한다.

• 한국정보통신학회논문지
• /
• 제13권3호
• /
• pp.451-457
• /
• 2009

컴퓨터그래픽스에서 다루어지는 대부분의 물체들은 메쉬 형태로 표현된다. 보다 다양한 형태로의 변형이나 현실감 있는 렌더링을 얻기 위해서는 정점에서의 올바른 법선벡터 계산이 필수적이다. 이에 대한 기존 연구들은 정점의 기하학적 특성을 단순하게 반영하는 가중치를 사용하였다. 본 논문에서는 국지적 기하학 특성을 종합적으로 반영하는 등각사상과 이웃 정점과의 상호관계를 연속적으로 표현할 수 있는 중간값 좌표계를 사용하는 방법을 제안한다. 논문에서 제시된 방법이 기존 다른 방법에 비해서 보다 정확한 법선벡터를 계산할 수 있음을 실험을 통해서 알 수 있다.