• 대한수학회지
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• 제58권4호
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• pp.949-965
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• 2021

The main focus of the present paper is to present new set of sufficient conditions so that the normalized form of the Mittag-Leffler and Wright functions have certain geometric properties like close-to-convexity, univalency, convexity and starlikeness inside the unit disk. Interesting consequences and examples are derived to support that these results are better than the existing ones and improve several results available in the literature.

• 대한수학회논문집
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• 제39권2호
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• pp.407-420
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• 2024

In this paper, we investigate some geometric properties of starlikeness connected with the hyperbolic cosine functions defined in the open unit disk. In particular, for the class of such starlike hyperbolic cosine functions, we determine the lower bounds of partial sums, Briot-Bouquet differential subordination associated with Bernardi integral operator, and bounds on some third Hankel determinants containing initial coefficients.

• Journal of applied mathematics & informatics
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• 제42권4호
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• pp.985-995
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• 2024

We see fundamental properties of the log-determinant α-divergence including the convexity of weighted geometric mean and the reversed sub-additivity under tensor product. We introduce a symmetrized divergence and show its properties including the boundedness and monotonicity on parameters. Finally, we discuss the barycenter minimizing the weighted sum of symmetrized divergences.

• International Journal of CAD/CAM
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• 제9권1호
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• pp.61-69
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• 2010

Based on the equivalence principles of physical properties, geometric properties and externally applied forces between a surface and the corresponding curves, we present a fast physics and example based skin deformation method for character animation in this paper. The main idea is to represent the skin surface and its deformations with a group of curves whose computation incurs much less computing overheads than the direct surface-based approach. The geometric and physical properties together with externally applied forces of the curves are determined from those of the surface defined by these curves according to the equivalence principles between the surface and the curves. This ensures the curve-based approach is equivalent to the original problem. A fourth order ordinary differential equation is introduced to describe the deformations of the curves between two example skin shapes which relates geometric and physical properties and externally applied forces to shape changes of the curves. The skin deformation is determined from these deformed curves. Several examples are given in this paper to demonstrate the application of the method.

• 농업과학연구
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• 제49권4호
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• pp.857-869
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• 2022

Eggs are considered an excellent complete food because they contain many major energy sources, including protein. Eggs are one of the most widely consumed foods worldwide, and egg consumption is steadily increasing. Eggs are generally classified according to their quality and weight. Various characteristics of eggs must be considered for the design and effective utilization of equipment used for the transport, processing, packaging, and storage of eggs. In this study, egg surface area, volume, density, etc. were measured according to the grade of the egg. The values of several geometrical properties that were measured tended to increase with increasing egg grade. The smallest grade eggs had the lowest shell thickness and density. The electrical conductivity of the eggshell and its contents was measured with a self-made electrode and equipment. The egg shell showed properties similar to insulators, and as the thickness increased, the electrical conductivity tended to increase. The electrical conductivity of the egg yolk showed almost constant values under all conditions. The electrical conductivity of the egg white and mixture was particularly low at 0.1 kHz. Fouling and electrode corrosion occurred in a low frequency region due to the egg white. In this study, various geometric and electrical characteristics of eggs were measured, and based on this, factors that could serve as new indicators for egg processed production were analyzed and investigated.

• 한국수자원학회논문집
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• 제53권12호
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• pp.1097-1107
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• 2020

본 연구에서는 하도단면의 기하학적 특성과 그에 관한 특성값들의 종방향 변화를 통해 하천지형의 시·공간적 변화양상을 파악하기 위한 방법론을 제안하고자 한다. 이를 위해 낙동강 구미보 ~ 칠곡보 구간에 대한 음향측심기를 이용한 상세 수심측량을 통해 하상에 대한 3차원 공간정보를 취득하였다. 취득된 자료를 이용하여 기준단면에 대한 기하학적 정보를 추출하였다. 추출된 하천단면의 기하특성치들을 비교함으로써 특정 하도구간에서의 지형 특징을 파악할 수 있었다. 과거 측량성과와의 비교를 통해 단면변화량과 체적하상변동량을 정량적으로 파악할 수 있었다. 향후 본 연구에서 제안한 방법의 다양한 하천구간에서 대한 적용을 통해 하천지형변화에 대한 정량적 평가방법을 제시할 것으로 기대하는 바이다.

• 항공우주시스템공학회지
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• 제16권6호
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• pp.8-17
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• 2022

항공기 날개에 사용되는 스킨-스트링거 패널은 기계적 체결과 접착 체결로 인하여 응력 집중과 접착 분리가 발생할 수 있다. 이를 고려하여, 3차원 직조 복합재료를 이용해 스킨과 스트링거를 일체시킨 패널을 설계하였다. 본 논문에서는 일체형 패널의 기계적 물성을 예측하기 위하여 기하학적 모델링 기법을 제안하였다. 시편의 기하학적 변수를 측정하고 섬유 다발의 패턴을 함수식으로 정의해 기하학적 모델링을 수행하였다. 이를 검증하기 위하여 iso-strain, iso-stress 가정을 사용한 가중평균모델을 통해 각 부재의 기계적 물성을 예측하고 유한요소해석을 수행해 압축시험 결과와 비교하였다. 제안한 기하학적 모델링 기법을 통해 스킨-스트링거 일체형 패널의 기계적 물성을 실험적 방법보다 효율적으로 예측하였다.

• 충청수학회지
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• 제20권2호
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• pp.147-156
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• 2007

We introduce the extremal length and examine its properties. And we consider the geometric applications of extremal length to the boundary behavior of analytic functions, conformal mappings. We derive the theorem in connection with the capacity. This theorem applies the extremal length to the analytic function defined on the domain with a number of holes. And we obtain the theorems in connection with the pure geometric problems.

• 대한전기학회논문지:시스템및제어부문D
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• 제54권1호
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• pp.40-47
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• 2005

This paper concerns on Filtered-x least mean square (FXLMS) algorithm for adaptive estimation of feedforward control parameters. The conditions for convergence in ensemble mean of the FXLMS algorithm are derived and the directional convergence properties are discussed from a new geometric vector analysis. The convergence and its directionality are verified along with some computer simulations.

• Korean Journal of Mathematics
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• 제14권2호
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• pp.281-289
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• 2006

We introduce the resistant length and examine its properties. We also consider the geometric applications of resistant length to the boundary behavior of analytic functions, conformal mappings and derive the theorem in connection with the cluster sets, purely geometric problems. The method of resistant length leads a simple proofs of theorems. So it shows us the usefulness of the method of resistant length.