• Journal of applied mathematics & informatics
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• 제41권6호
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• pp.1181-1191
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• 2023

This paper investigates Young inequalities for matrices, a problem closely linked to operator theory, mathematical physics, and the arithmetic-geometric mean inequality. By obtaining new inequalities for unitarily invariant norms, we aim to derive a fresh Young inequality specifically designed for matrices.To lay the foundation for our study, we provide an overview of basic notation related to matrices. Additionally, we review previous advancements made by researchers in the field, focusing on Young improvements.Building upon this existing knowledge, we present several new enhancements of the classical Young inequality for nonnegative real numbers. Furthermore, we establish a matrix version of these improvements, tailored to the specific characteristics of matrices. Through our research, we contribute to a deeper understanding of Young inequalities in the context of matrices.

• Smart Structures and Systems
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• 제16권1호
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• pp.141-162
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• 2015

The magneto-rheological visco-elastomer (MRVE) is used as a smart core to control the stochastic micro-vibration of a sandwich plate with supported mass. The micro-vibration response of the sandwich plate with MRVE core and supported mass under stochastic support motion excitations is studied and compared to evaluate the vibration suppression capability. The effects of the supported mass and localized magnetic field on the stochastic micro-vibration response of the MRVE sandwich plate are taken into account. The dynamic characteristics of the MRVE core in micro-vibration are described by a non-homogeneous complex modulus dependent on vibration frequency and controllable by applied magnetic fields. The partial differential equations for the coupled transverse and longitudinal motions of the MRVE sandwich plate with supported mass are derived from the dynamic equilibrium, constitutive and geometric relations. The simplified ordinary differential equations are obtained for the transverse vibration of the MRVE sandwich plate under localized magnetic fields. A frequency-domain solution method for the stochastic micro-vibration response of sandwich plates with supported mass is developed based on the Galerkin method and random vibration theory. The expressions of frequency-response functions, response power spectral densities and root-mean-square velocity responses of the plate in terms of the one-third octave frequency band are obtained for micro-vibration evaluation. Finally, numerical results are given to illustrate the large response reduction capacity of the MRVE sandwich plate with supported mass under stochastic support motion excitations, and the influences of MRVE parameters, supported mass and localized magnetic field placement on the micro-vibration response.

• 한국해양공학회지
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• 제34권6호
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• pp.406-418
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• 2020

In this study, a nonlinear wave simulation code is developed using a higher-order spectral (HOS) method. The HOS method is very efficient because it can determine the solution of the boundary value problem using fast Fourier transform (FFT) without matrix operation. Based on the HOS order, the vertical velocity of the free surface boundary was estimated and applied to the nonlinear free surface boundary condition. Time integration was carried out using the fourth order Runge-Kutta method, which is known to be stable for nonlinear free-surface problems. Numerical stability against the aliasing effect was guaranteed by using the zero-padding method. In addition to simulating the initial wave field distribution, a nonlinear adjusted region for wave generation and a damping region for wave absorption were introduced for wave generation simulation. To validate the developed simulation code, the adjusted simulation was carried out and its results were compared to the eighth order Stokes theory. Long-time simulations were carried out on the irregular wave field distribution, and nonlinear wave propagation characteristics were observed from the results of the simulations. Nonlinear adjusted and damping regions were introduced to implement a numerical wave tank that successfully generated nonlinear regular waves. According to the variation in the mean wave steepness, irregular wave simulations were carried out in the numerical wave tank. The simulation results indicated an increase in the nonlinear interaction between the wave components, which was numerically verified as the mean wave steepness. The results of this study demonstrate that the HOS method is an accurate and efficient method for predicting the nonlinear interaction between waves, which increases with wave steepness.

• 한국지반공학회논문집
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• 제25권7호
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• pp.35-46
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• 2009

압력식 쏘일네일링 공법은 지반에 네일을 삽입한 후 압력그라우팅을 수행하여 지반과 그라우팅 사이의 인발저항력 증가를 활용한 공법으로 원지반의 강도를 최대한 활용한 공법이다. 최근들어, 쏘일네일링 공법은 절취사면 보강이나 도심지 터파기 및 흙막이 구조물, 옹벽 보강 등 사면안정에 많이 시용된다. 하지만 압력식 쏘일네일링 공법은 그라우팅을 가압하여 주입함에 띠라 주입 시와 주입 후의 지반응력의 변화 양상에 매우 복잡하다. 따라서 압력식 쏘일네일링 공법에 의한 인발저항력의 증가양상을 파악하기가 매우 어렵기 때문에 대부분 경험적인 설계가 이루어 지고 있는 실정이다. 본 연구는 압력식 쏘일네일링 공법의 인발저항력의 증가를 이론적으로 규명하고 실내 및 현장 시힘을 바탕으로 비교하여 인발저항력을 예측히는데 그 목적이 있다. 본 논문에서는 인발저항력의 증가에 영향을 미치는 요소를 공벽에 작용히는 평균연직응력과 인발마찰계수의 증가로 규명하였다. 실내시험을 통해서 측정된 반경방향 변위를 본 논문에서 제안한 공팽창이론에 적용하여 팽창각을 산정하였다. 팽창각이 감소함에 따라 반경방향변위는 증가하고 주입압이 증가함에 따라 팽창각이 증가하는 것을 알 수 있었다. 또한 현장인발시험을 통해서 측정한 인발저항력이 제안된 인발저항력과 거의 통일한 것을 알 수 있었다.

• 한국콘텐츠학회논문지
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• 제17권4호
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• pp.25-35
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• 2017

본 연구에서는 한국의 유아 교사들이 창의성 교육에 관한 개념을 어떻게 인식하고 있는지 그 과정에 관하여 탐색하는 것을 목적으로 질적 연구를 수행하였다. 면접대상자는 서울 소재 유치원에 재직하고 있는 현직교사 4명이며, 반구조화된 심층면접을 통하여 면접 자료를 수집하였다. 수집된 자료는 질적 연구방법 중 木下(기노시다)의 수정근거이론(Modified Grounded Theory Approach)을 채택하여 분석하였다. 자료 분석 결과, 유아교육 분야의 전문가 집단이라 할 수 있는 유아 교사들은 독특한 사고, 풍부한 표현력 등이 창의성교육의 핵심개념이라고 파악하고 있었다. 이와 같은 개념은 주로 아이들과의 직접적인 만남이 이루어지는 학습, 누리과정 교수 등을 통해서 창의성 개념을 형성하는 것으로 나타났다. 이보다 앞서 수행된 초 중등 교사들을 대상으로 창의성 개념을 탐색한 선행연구와 비교해 볼 때, 유아 교사들은 창의성 교육에 관하여 상당히 일치된 핵심개념을 서로 공유하고 있다는 것이 본 연구를 통해 밝혀졌다. 본 연구결과는 유아교육 분야에서는 비교적 창의성 교육에 관한 개념이 일관성 있게 받아들여지고 있으며, 교육현장에서도 유아들에게 개념 및 교수방법 등이 양호하게 잘 전달되고 있음을 의미한다.

• Composites Research
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• 제19권2호
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• pp.28-34
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• 2006

고온자전합성법과 스파크 플라즈마 소결법으로 여러 가지 $TiB_2$ 함유량을 갖는 $Cu-TiB_2$ 금속복합재료를 제조하였다. 점용접 전극과 미끄럼 접촉재로 사용하기 위해 인장특성, 경도, 마모저항 등의 물성치를 조사하였다. 강화재의 형상, 크기, 부피분율 등에 의해 복합재료의 특성이 달라지므로 유효물성치를 예측하기 위한 모델링이 필수적이다. 유한요소해석결과 유효탄성 계수가 실험치와 일치하는 것을 확인하였고 Eshelby 모델, Mori-Tanaka의 평균장 이론이 결합된 Eshelby 모델, 혼합법칙 등으로 복합재료의 탄성계수를 예측한 결과 Mori-Tanaka의 평균장 이론이 결합된 Eshelby 모델이 실험치를 사장 잘 묘사하는 것으로 나타났다.

• 한국정보과학회논문지:정보통신
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• 제37권3호
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• pp.167-174
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• 2010

최근에 비 구조적 피어투피어 시스템을 위해 분산적으로 재결정위상을 구성하는 위상 제어 프로토콜이 제안되었다[1]. 본 논문에서는 재결정위상이라고 불리는 이러한 계층적 위상이 척도 없는 거듭제곱 법칙 망임을 보인다. 우리는 재결정 위상의 분산된 구성을 위한 알고리즘의 프로세스를 모형화 하고, 평균 장 점근법(Mean field Approximation)과 연속체 이론(Continuum theory)에 근거를 두고 분석하여, 구성된 재결정 망이 척도 없는 망임을 보였다. 위상제어 알고리즘을 따르는 각 노드는 더 선호하는 노드에 대한 연결을 추가하고, 가장 비선호하는 노드에 대한 연결을 제거한다. 다시 말해, 알고리즘에 따라, 각 피어는 자신이 알고 있는 피어들 중에서 최고의 적중률(또는 검색 능력 혹은 선호도)을 가지고 있는 노드들과 연결을 추가하고, 최저의 적중률을 가진 노드들과의 연결을 끊는다. 이것은 비구조적 피어투피어 망에서 재결정 위상을 구성하기 위한 지역적인 프로세스를 실제적으로 표현한다. 우리는 차수의 분포를 분석적으로 유도한다. 분석 결과, 만들어지는 재결정 위상은 척도 없는 망이며, 이것의 거듭제곱 법칙의 지수$\gamma$는 3 이다.

• 상하수도학회지
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• 제36권3호
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• pp.149-165
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• 2022

The water consumption data of individual consumers must be analyzed and forecast to establish an effective water demand management plan. A k-mean cluster model that can monitor water use characteristics based on hourly water consumption data measured using automated meter reading devices and demographic factors is developed in this study. In addition, the quantification model that can estimate the daily water consumption is developed. K-mean cluster analysis based on the four clusters shows that the average silhouette coefficient is 0.63, also the silhouette coefficients of each cluster exceed 0.60, thereby verifying the high reliability of the cluster analysis. Furthermore, the clusters are clearly classified based on water usage and water usage patterns. The correlation coefficients of four quantification models for estimating water consumption exceed 0.74, confirming that the models can accurately simulate the investigated demographic data. The statistical significance of the models is considered reasonable, hence, they are applicable to the actual field. Because the use of automated smart water meters has become increasingly popular in recent year, water consumption has been metered remotely in many areas. The proposed methodology and the results obtained in this study are expected to facilitate improvements in the usability of smart water meters in the future.

• 미술이론과 현장
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• 제5호
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• pp.7-24
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• 2007

The subject is connected with a structure named "The Symbolic" to Lacan, but he denied that the subject is explained simply as a fruit of language and "Other". From his point of view, passing through Subject, De-formation and Crack over it is designated as foundation of generation and creation rather than our destined defect. It should not be understood that subject of "The Real" is a concept of the subject free itself from restraint of "The Symbolic". However, this does not mean he asserts "Subject" is something incapable of being controlled by the unknown power. The problem is that this autonomous existence meets inside of it with something "more than one's own self" by "circulating around itself" like a permanent star. This is the indication of a "stranger in the middle of my privacy", or "extimit$\'{e}$", a coined-word by Lacan. Perhaps "Subject" is nothing more than the name of distance of object which is "too hot" to come close, and of this circulating movement. It's because of this object that the real subject stands against generalization and the subject can't be restored to any place in symbolic order-even though it is empty. The part which is told from Lacan's structural theory, that is to say, an importance to Lacan is that his Subject theory is not suggested or denied as a manual structure. On the contrary, it is a study of the relationship between the settled symbol that included in "real subject which is a unconscious one" and the symbolic subject hold- that is a metaphysical subject in general meaning. In Lacan's enlarged concept of subject beyond symbolic reality, it is noticeable that it gives justifiability to the union of a medium of different nature in artistic expression. We can recognize that the unconscious world is a living space which enables it to be a "condition of human being", not something dark under the surface of water through Magritte's(Rene Magritte, 1898~1967) surrealistic works. In other words, Magritte's art secures a core dimension of human nature through a mysterious gap of conscious and settled space. Magritte's drawings often evokes strange and unsettling feelings in people who view his paintings. This is because routine objects are found in "unsuitable" places from which we usually find them in our everyday lives. "Reality" in Magritte's paintings makes it aware that it is a strained field of concealment and disclosure basically between truths, and we can learn that his behavior to overturn to paint in-visible things is finally an effort to restore the "real subject" to the viewer's reality. In other words, such reversion arouses a nostalgic desire for the objects existing in their original appearance as they are - natural condition that our gaze had not been distorted yet by anamorphic stains. - and the state when we are conscious of them normally. Such desire offers an opportunity for us to get out of mental depression rather than operates to us as an abnormal crack. It's a successive process of effort to search for lost subject and Paradise Lost facing up to reality of subject human that is to be a subject of world and life are ousted from their place by structure and authority of culture.

• Journal of Mechanical Science and Technology
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• 제17권3호
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• pp.440-448
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• 2003

In the present paper, numerical simulations of buoyant plume dispersion in a neutral and stable atmospheric boundary layer have been carride out. A Lagrangian Stochastic Model (LSM) with a Non-Linear Eddy Viscosity Model (NLEVM) for turbulence is used to generate a Reynolds stress field as an input condition of dispersion simulation. A modified plume-rise equation is included in dispersion simulation in order to consider momentum effect in an initial stage of plume rise resulting in an improved prediction by comparing with the experimental data. The LSM is validated by comparing with the prediction of an Eulerian Dispersion Model (EDM) and by the measured results of vertical profiles of mean concentration in the downstream of an elevated source in an atmospheric boundary layer. The LSM predicts accurate results especially in the vicinity of the source where the EDM underestimates the peak concentration by 40% due to inherent limitations of gradient diffusion theory. As a verification study, the LSM simulation of buoyant plume dispersions under a neutral and stable atmospheric condition is compared with a wind-tunnel experiment, which shows good qualitative agreements.