• Title/Summary/Keyword: potential function

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Three Dimensional Electric Field Analysis Of Substation Using Nonuniform Optimal Charge Simulation (비균등 최적 전하배치를 이용한 전력소 3차원 전계해석)

  • Myung, Sung-Ho;Lee, Byeong-Yoon;Min, Suk-Won;Kim, Eung-Sik;Park, Jong-Keun
    • Proceedings of the KIEE Conference
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    • 1994.11a
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    • pp.290-292
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    • 1994
  • This paper presents a methodology for the electric field analysis of substation. For the electric field analysis of substation, the electrodes(substation busbars) must be represented by finite line with nonlinear charge density. In the case of dividing finite line into uniform segments, a large number of variables have to be used to obtain the accuracy within a desired tolerance. To deal with the problem, nonuniform charge arrangement modeling method is suggested. To reduce potential calculation errors, the linear charge density function is considered particularly for the segment charge model ling. If the charge arrangement is improper, the accuracy not improved regardless of increment in the number of segments. This paper proposes an optimal charge arrangement method through potential error analysis. And, the optimal charge arrangement function is formulated by a lot of simulation results.

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Vision-Based Collision-Free Formation Control of Multi-UGVs using a Camera on UAV (무인비행로봇에 장착된 카메라를 이용한 다중 무인지상로봇의 충돌 없는 대형 제어기법)

  • Choi, Francis Byonghwa;Ha, Changsu;Lee, Dongjun
    • Journal of the Korean Society for Precision Engineering
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    • v.30 no.1
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    • pp.53-58
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    • 2013
  • In this paper, we present a framework for collision avoidance of UGVs by vision-based control. On the image plane which is created by perspective camera rigidly attached to UAV hovering stationarily, image features of UGVs are to be controlled by our control framework so that they proceed to desired locations while avoiding collision. UGVs are assumed as unicycle wheeled mobile robots with nonholonomic constraint and they follow the image feature's movement on the ground plane with low-level controller. We used potential function method to guarantee collision prevention, and showed its stability. Simulation results are presented to validate capability and stability of the proposed framework.

GRADIENT RICCI ALMOST SOLITONS ON TWO CLASSES OF ALMOST KENMOTSU MANIFOLDS

  • Wang, Yaning
    • Journal of the Korean Mathematical Society
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    • v.53 no.5
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    • pp.1101-1114
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    • 2016
  • Let ($M^{2n+1}$, ${\phi}$, ${\xi}$, ${\eta}$, g) be a (k, ${\mu}$)'-almost Kenmotsu manifold with k < -1 which admits a gradient Ricci almost soliton (g, f, ${\lambda}$), where ${\lambda}$ is the soliton function and f is the potential function. In this paper, it is proved that ${\lambda}$ is a constant and this implies that $M^{2n+1}$ is locally isometric to a rigid gradient Ricci soliton ${\mathbb{H}}^{n+1}(-4){\times}{\mathbb{R}}^n$, and the soliton is expanding with ${\lambda}=-4n$. Moreover, if a three dimensional Kenmotsu manifold admits a gradient Ricci almost soliton, then either it is of constant sectional curvature -1 or the potential vector field is pointwise colinear with the Reeb vector field.

Laser-Induced Fluorescence Excitation Spectrum and $CF_3$ Torsional Potential Energy Function of 7-Amino-4-(trifluoromethyl)coumarin in Its $S_1$ Electrode Excited State

  • 추재범;김택수;최영식
    • Bulletin of the Korean Chemical Society
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    • v.17 no.5
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    • pp.461-463
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    • 1996
  • The laser-induced fluorescence excitation spectrum of 7-amino-4-(trifluoromethyl)coumarin in a supersonic jet has been recorded in the 340-352 nm region. The electronic band origin was observed at 28622.8 cm-1. Vibrational assignments for the three fundamental low-frequency modes and eight combination bands have been made for the S1 electronic excited state. The out-of-plane vibrations of this molecule have been characterized from the low-frequency assignments of the spectrum. The periodic potential energy function for the CF3 torsion, which satisfactorily fits the observed data, were also determined to be V(Φ)=95X(1-cos3Φ)-32X(1-cos6Φ) where Φ is the torsional angle. The relatively low torsional barrier of 99 cm-1 in S1 state could be explained by the small steric interactions between the functional groups attached to a bicyclic ring.

EXISTENCE OF WEAK SOLUTIONS TO A CLASS OF SCHRÖDINGER TYPE EQUATIONS INVOLVING THE FRACTIONAL p-LAPLACIAN IN ℝN

  • Kim, Jae-Myoung;Kim, Yun-Ho;Lee, Jongrak
    • Journal of the Korean Mathematical Society
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    • v.56 no.6
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    • pp.1529-1560
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    • 2019
  • We are concerned with the following elliptic equations: $$(-{\Delta})^s_pu+V (x){\mid}u{\mid}^{p-2}u={\lambda}g(x,u){\text{ in }}{\mathbb{R}}^N$$, where $(-{\Delta})_p^s$ is the fractional p-Laplacian operator with 0 < s < 1 < p < $+{\infty}$, sp < N, the potential function $V:{\mathbb{R}}^N{\rightarrow}(0,{\infty})$ is a continuous potential function, and $g:{\mathbb{R}}^N{\times}{\mathbb{R}}{\rightarrow}{\mathbb{R}}$ satisfies a $Carath{\acute{e}}odory$ condition. We show the existence of at least one weak solution for the problem above without the Ambrosetti and Rabinowitz condition. Moreover, we give a positive interval of the parameter ${\lambda}$ for which the problem admits at least one nontrivial weak solution when the nonlinearity g has the subcritical growth condition.

π/2 Pulse Shaping via Inverse Scattering of Central Potentials

  • 이창재
    • Bulletin of the Korean Chemical Society
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    • v.17 no.2
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    • pp.188-192
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    • 1996
  • It is shown that the inversion of the undamped Bloch equation for an amplitude-modulated broadband π/2 pulse can be precisely treated as an inverse scattering problem for a Schrodinger equation on the positive semiaxis. The pulse envelope is closely related to the central potential and asymptotically the wave function takes the form of a regular solution of the radial Schrodinger equation for s-wave scattering. An integral equation, which allows the calculation of the pulse amplitude (the potential) from the phase shift of the asymptotic solution, is derived. An exact analytical inversion of the integral equation shows that the detuning-independent π/2 pulse amplitude is given by a delta function. The equation also provides a means to calculate numerically approximate π/2 pulses for broadband excitation.

STUDY OF GRADIENT SOLITONS IN THREE DIMENSIONAL RIEMANNIAN MANIFOLDS

  • Biswas, Gour Gopal;De, Uday Chand
    • Communications of the Korean Mathematical Society
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    • v.37 no.3
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    • pp.825-837
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    • 2022
  • We characterize a three-dimensional Riemannian manifold endowed with a type of semi-symmetric metric P-connection. At first, it is proven that if the metric of such a manifold is a gradient m-quasi-Einstein metric, then either the gradient of the potential function 𝜓 is collinear with the vector field P or, λ = -(m + 2) and the manifold is of constant sectional curvature -1, provided P𝜓 ≠ m. Next, it is shown that if the metric of the manifold under consideration is a gradient 𝜌-Einstein soliton, then the gradient of the potential function is collinear with the vector field P. Also, we prove that if the metric of a 3-dimensional manifold with semi-symmetric metric P-connection is a gradient 𝜔-Ricci soliton, then the manifold is of constant sectional curvature -1 and λ + 𝜇 = -2. Finally, we consider an example to verify our results.

Nitric Oxide Signal Transduction and Its Role in Skin Sensitization

  • Jong Hun Kim;Min Sik Choi
    • Biomolecules & Therapeutics
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    • v.31 no.4
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    • pp.388-394
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    • 2023
  • Nitric oxide (NO) is a signaling molecule that plays a crucial role in numerous cellular physiological processes. In the skin, NO is produced by keratinocytes, fibroblasts, endothelial cells, and immune cells and is involved in skin functions such as vasodilation, pigmentation, hair growth, wound healing, and immune responses. NO modulates both innate and adaptive immune responses. As a signaling molecule and cytotoxic effector, NO influences the function of immune cells and production of cytokines. NO is a key mediator that protects against or contributes to skin inflammation. Moreover, NO has been implicated in skin sensitization, a process underlying contact dermatitis. It modulates the function of dendritic cells and T cells, thereby affecting the immune response to allergens. NO also plays a role in contact dermatitis by inducing inflammation and tissue damage. NO-related chemicals, such as nitrofatty acids and nitric oxide synthase (NOS) inhibitors, have potential therapeutic applications in skin conditions, including allergic contact dermatitis (ACD) and irritant contact dermatitis (ICD). Further research is required to fully elucidate the therapeutic potential of NO-related chemicals and develop personalized treatment strategies for skin conditions.

A Study on the Soiution of Inverse Kinematic of Manipulator using Self-Organizing Neural Network and Fuzzy Compensator (퍼지 보상기와 자기구성 신경회로망을 이용한 매니퓰레이터의 역기구학 해에 관한 연구)

  • 김동희;이수흠;신위재
    • Journal of the Institute of Convergence Signal Processing
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    • v.2 no.3
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    • pp.79-85
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    • 2001
  • We obtain a solution of inverse kinematic of 3 axis manipulator by using a self-organizing neral network(SONN) with a fuzzy compensator. The self-organizing neural network using the gaussian potential function as the activation function has one hidden layer in the first learning time. The network obtains the optimal number of node by increasing the number of hidden layer node through the learning, and the fuzzy compensator has the optimal loaming rate of neutral network. In this results, we can confirmed that the learning rate is improved and the rapid convergence to the steady-state.

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Study on the Web-based Prediction System for Corrosion Monitoring and Anti-corrosion (부식감시 및 방식을 위한 웹기반 예측시스템에 관한 연구)

  • Park, Hyoung-Keun;Kim, Sun-Yeob
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.13 no.2
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    • pp.784-789
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    • 2012
  • In this paper, a number of anode and reference electrodes that are installed around the target anti-corrosion objects to monitor, appropriate to your situation of a fixed potential and polarization methods can be applied automatically in the system was developed. In particular, this system was configured with a remote electric anti-corrosion automatic control device that have automatically adjust function to uniformal anti-corrosion in all parts of target objects, a corrosion monitoring device to perform the function of corrosion potential detection and a web-based operating program to perform the function of real-time monitoring, control and prediction. Using this system, by preventing oxidative corrosion phenomena can maximize the life of the target anti-corrosion objects.