• Title/Summary/Keyword: J-A$_2$ theory

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MEROMORPHIC SOLUTIONS OF SOME NON-LINEAR DIFFERENCE EQUATIONS WITH THREE EXPONENTIAL TERMS

  • Min-Feng Chen;Zong-Sheng Gao;Xiao-Min Huang
    • Bulletin of the Korean Mathematical Society
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    • v.61 no.3
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    • pp.745-762
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    • 2024
  • In this paper, we study the existence of finite order meromorphic solutions of the following non-linear difference equation fn(z) + Pd(z, f) = p1eα1z + p2eα2z + p3eα3z, where n ≥ 2 is an integer, Pd(z, f) is a difference polynomial in f of degree d ≤ n - 2 with small functions of f as its coefficients, pj (j = 1, 2, 3) are small meromorphic functions of f and αj (j = 1, 2, 3) are three distinct non-zero constants. We give the expressions of finite order meromorphic solutions of the above equation under some restrictions on αj (j = 1, 2, 3). Some examples are given to illustrate the accuracy of the conditions.

CONFORMAL CHANGES OF A RIZZA MANIFOLD WITH A GENERALIZED FINSLER STRUCTURE

  • Park, Hong-Suh;Lee, Il-Yong
    • Bulletin of the Korean Mathematical Society
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    • v.40 no.2
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    • pp.327-340
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    • 2003
  • We are devoted to dealing with the conformal theory of a Rizza manifold with a generalized Finsler metric $G_{ij}$ (x,y) and a new conformal invariant non-linear connection $M^{i}$ $_{j}$ (x,y) constructed from the generalized Cern's non-linear connection $N^{i}$ $_{j}$ (x,y) and almost complex structure $f^{i}$ $_{j}$ (x). First, we find a conformal invariant connection ( $M_{j}$ $^{i}$ $_{k}$ , $M^{i}$ $_{j}$ , $C_{j}$ $^{i}$ $_{k}$ ) and conformal invariant tensors. Next, the nearly Kaehlerian (G, M)-structures under conformal change in a Rizza manifold are investigate.

On the Conditional Tolerance Probability in Time Series Models

  • Lee, Sang-Yeol
    • Journal of the Korean Statistical Society
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    • v.26 no.3
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    • pp.407-416
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    • 1997
  • Suppose that { $X_{i}$ } is a stationary AR(1) process and { $Y_{j}$ } is an ARX process with { $X_{i}$ } as exogeneous variables. Let $Y_{j}$ $^{*}$ be the stochastic process which is the sum of $Y_{j}$ and a nonstochastic trend. In this paper we consider the problem of estimating the conditional probability that $Y_{{n+1}}$$^{*}$ is bigger than $X_{{n+1}}$, given $X_{1}$, $Y_{1}$$^{*}$,..., $X_{n}$ , $Y_{n}$ $^{*}$. As an estimator for the tolerance probability, an Mann-Whitney statistic based on least squares residuars is suggested. It is shown that the deviations between the estimator and true probability are stochatically bounded with $n^{{-1}$2}/ order. The result may be applied to the stress-strength reliability theory when the stress and strength variables violate the classical iid assumption.umption.n.

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Buckling Analysis of Stiffened Plates (보강판(補剛板)의 좌굴해석(挫屈解析))

  • S.J.,Yim;P.,Yang
    • Bulletin of the Society of Naval Architects of Korea
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    • v.18 no.2
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    • pp.1-6
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    • 1981
  • The buckling of stiffened plates is considered using a finite element method. In this paper stiffened plates are treated as orthotropic plates and by appling Mindlin's plate theory the effects of shear deformation to buckling loads are considered. In general, it is found that for moderately thick plates Mindlin's plate theory gives lower buckling load than those obtained using classical thin plate theory.

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A note on convexity on linear vector space

  • Hong, Suk-Kang
    • Journal of the Korean Statistical Society
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    • v.1 no.1
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    • pp.18-24
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    • 1973
  • Study on convexity has been improved in many statistical fields, such as linear programming, stochastic inverntory problems and decision theory. In proof of main theorem in Section 3, M. Loeve already proved this theorem with the $r$-th absolute moments on page 160 in [1]. Main consideration is given to prove this theorem using convex theorems with the generalized $t$-th mean when some convex properties hold on a real linear vector space $R_N$, which satisfies all properties of finite dimensional Hilbert space. Throughout this paper $\b{x}_j, \b{y}_j$ where $j = 1,2,......,k,.....,N$, denotes the vectors on $R_N$, and $C_N$ also denotes a subspace of $R_N$.

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Luminescence and Crystal Field Parameters of the Na₃[Eu(ODA)₃]·7H₂O Complex in Single Crystalline State

  • 강준길;윤수경;손영구;김종구
    • Bulletin of the Korean Chemical Society
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    • v.18 no.8
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    • pp.861-864
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    • 1997
  • Luminescence spectrum of Na3[Eu(ODA)3]·7H2O (ODA≡oxydiacetato) was measured at various temperatures. The characteristic band splitting within 5D0→7FJ (J = 1, 2, 3 and 4) were phenomenologically simulated by using crystal field theory. The set of crystal field parameters reproduces the emission lines in a satisfactory manner with a rms deviation of 21.4 cm-1. It leads the reliable assignment of the luminescence bands and the energy level scheme of 7FJ (J = 1, 2, 3 and 4) multiplets.

A Study on the Guidance Signage System of Outpatient in General Hospital using Spatial Configuration Theory - View from G.D.Weisman's Way-finding Influence Factors (공간구조론을 적용한 종합병원 외래부 유도사인 배치 및 평가에 관한 연구 - G.D.Weisman의 길찾기 요소를 중심으로)

  • Kim, Suktae;Paik, Jinkyung
    • Journal of The Korea Institute of Healthcare Architecture
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    • v.21 no.3
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    • pp.25-35
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    • 2015
  • Purpose: Signs that are installed at unnoticeable places or that disconnect before the destination can bring errors of location information delivery. Therefore, this study aims to find out the spatial relation between structure of space and signs in the perspective of visual exposure possibility, operating arrangement and assesment by applying spatial structure theory. Methods: Effectiveness of organization of guidance signs was evaluated after the four way-finding factors(Plan Configuration, Sign System, Perceptual Access, Architectural Difference) that G.D.Weisman suggested were interpreted by spatial structure theory(J-Graph analysis, Space Syntax, Visual Graph Analysis) under the premise that it is closely related to the structure of space. Results: 1) Because the south corridor that connects each department of outpatient division is located in the hierarchy center of the space, and walking density is expected to be high, guidance signs need to be organized at the place with high integration value. 2) The depth to the destination space can be estimated through J-Graph analysis. The depth means a switch of direction, and the guidance signs are needed according to the number. 3) According to visibility graph analysis, visual exposure can be different in the same hierarchy unit space according to the shape of the flat surface. Based on these data, location adjustment of signs is possible, and the improvement effect can be estimated quantitatively. Implications: Spatial structure theory can be utilized to design and evaluate sign systems, and it helps to clearly understand the improvement effect. It is desirable to specify design and estimation of sign systems in the order of J-Graph analysis${\rightarrow}$Space Syntax Theory${\rightarrow}$visibility graph analysis.

Role of Open Channels in Overlapping Resonances Studied by Multichannel Quantum Defect Theory in Systems Involving 2 Nondegenerate Closed and Many Open Channels

  • Lee, Chun-Woo
    • Bulletin of the Korean Chemical Society
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    • v.31 no.11
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    • pp.3201-3211
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    • 2010
  • Previous work on the phase-shifted version of the multichannel quantum-defect theory (MQDT) for a system involving 2 closed and many open channels (Lee, C.-W. Bull. Korean Chem. Soc. 2010, 31, 1669) was extended to obtain the formulae of the spectral shape parameters with the structure of a pole extracted explicitly for general cases only limited by 2 non-degenerate closed channels. The theory was applied to the narrow $6p_{1/2,3/2}np$ J = 1 autoionizing Rydberg series in barium perturbed by the $6p_{3/2}nf$ states obtained by de Graaff et al.

Prediction of Daily Solar Irradiation Based on Chaos Theory (혼돈이론을 이용한 일적산 일사량의 예측)

  • Cho, S. I.;Bae, Y. M.;Yun, J. I.;Park, E. W.;Hwang, H.
    • Journal of Biosystems Engineering
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    • v.25 no.2
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    • pp.123-130
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    • 2000
  • A forcasting scheme for daily solar irradiance on agricultural field sis proposed by application of chaos theory to a long term observation data. It was conducted by reconstruction of phase space, attractor analysis, and Lyapunov analysis. Using the methodology , it was determined whether evolution of the five climatic data such as daily air temperature , water temperature , relative humidity, solar radiation, and wind speed are chaotic or not. The climatic data were collected for three years by an automated weather station at Hwasung-gun, Kyonggi-province. The results showed that the evolution of solar radiation was chaotic , and could be predicted. The prediction of the evolution of the solar radiation data was executed by using ' local optimal linear reconstruction ' algorithm . The RMS value of the predicting for the solar radiation evolution was 4.32 MJ/$m^2$ day. Therefore, it was feasible to predict the daily solar radiation based on the chaos theory.

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