• 제목/요약/키워드: closed 1-form

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ALMOST INVERTIBILITY MODULO CLOSED IDEALS

  • Kim, Yong-Tae;Lee, Woo-Young;Lee, Hae-Jin
    • Bulletin of the Korean Mathematical Society
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    • v.28 no.2
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    • pp.185-190
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    • 1991
  • The concept of "almost invertibility modulo closed ideals" in L(X, Y) was introduced, implicitly, by Robin Harte [1, Theorem 3.9.5]. The aims of this note are to make the formal definition of "almost left and right invertible modulo closed ideals" operators and show that they form open sets.they form open sets.

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Numerically Efficient Analysis of a Coaxial-fed Microstrip Patch Antenna (동축선으로 급전되는 마이크로스트립 패치 안테나의 효율적인 수치해석)

  • 이강렬;이영순
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.11 no.1
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    • pp.124-135
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    • 2000
  • In this study, a numerically efficient method for the analysis of microstrip structures is considered in conjunction with the use of closed-form spatial Green's functions. As is well-known, the use of the closed-form Green's functions can reduce the evaluation time of impedance matrix elements. However the problematic aspect that in general the evaluation results of diagonal elements of the matrix converge slowly, has been observed. The main cause of the slow convergence has been due to the terms of closed-form Green's functions with small exponent. In other to resolve the problematic aspect, a method of numerical integration based on the change of variable is considered in evaluating matrix elements. The present method is applied for the analysis of a coaxial-fed microstrip antenna. When the present results are compared with the previous results in order to check the validity of the present method, fairly good agreements between them are observed.

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'Modularised' Closed-Form Mathematical model for predicting the bracing performance of plasterboard clad walls

  • Liew, Y.L.;Gad, E.F.;Duffield, C.F.
    • Structural Engineering and Mechanics
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    • v.20 no.1
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    • pp.45-67
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    • 2005
  • This paper presents a new approach to predict the racking load-displacement response of plasterboard clad walls found in Australian light-framed residential structures under monotonic racking load. The method is based on a closed-form mathematical model, described herein as the 'Modularised' Closed-Form Mathematical model or MCFM model. The model considers the non-linear behaviour of the connections between the plasterboard cladding and frame. Furthermore, the model is flexible as it enables incorporation of different nailing patterns for the cladding. Another feature of this model is that the shape of stud deformation is not assumed to be a specific function, but it is computed based on the strain energy approach to take account of the actual load deformation characteristics of particular walls. Verification of the model against the results obtained from a detailed Finite Element (FE) model is also reported. Very good agreement between the closed form solution and that of the FE model was achieved.

Closed-form solution for the buckling behavior of the delaminated FRP plates with a rectangular hole using super-elastic SMA stitches

  • Soltanieh, Ghazaleh;Yam, Michael CH.;Zhang, Jing-Zhou;Ke, Ke
    • Structural Engineering and Mechanics
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    • v.81 no.1
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    • pp.39-50
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    • 2022
  • Layer separation (delamination) is an essential threat to fiber-reinforced polymer (FRP) plates under dynamic, static, and fatigue loads. Under compressive load, the growth of delamination will lead to structural instability. The aim of this paper is to present a method using shape memory alloy (SMA) stitches to suppress the delamination growth in a FRP plate and to improve the buckling behavior of the plate with a rectangular hole. The present paper is divided into two parts. Firstly, a closed-form (CF) formulation for evaluating the buckling load of the FRP plate is presented. Secondly, the finite element method (FEM) will be employed to calculate the buckling loads of the plates which serves to validate the results obtained from the closed-form method. The novelty of this work is the development of the closed-form solution using the p-Ritz energy approach regarding the stress-dependent phase transformation of SMA to trace the equilibrium path. For the FEM, the Lagoudas constitutive model of the SMA material is implemented in FORTRAN programming language using a user material subroutines (VUMAT). The model is simulated in ABAQUS/Explicit solver due to the nature of the loading type. The cohesive zone model (CZM) is applied to simulate the delamination growth.

A Visual-perceptive Study on Closed and Open Forms of Ethnic Looks since the 1980s (1990년대 이후 에스닉 룩의 폐쇄형과 개방형의 시지각적 연구)

  • 서봉하
    • Journal of the Korean Society of Costume
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    • v.54 no.4
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    • pp.145-156
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    • 2004
  • This study is regarding closed and open forms, which have relatively high recognition among visual perception phenomena in costumes. In particular, this study reviewed closeness and openness of ethnic look, which is a representative open costume. Closed form can be summarized as simple and clear silhouette, conspicuous differentiation from the background, simple construction of the costume and colors with low brightness and clearness. It Is modern, functional, rational and modest. On the other hand, open form can be summarized as complicated and inconspicuous edge line, complicated inner shape and colors with high brightness, high clearness and vividness. It includes concepts of pleasure, entertainment, joy, eroticism, rebel and resistance. Modern costumes have been simplified for a long time and they have functional and closed characteristics in their shape, structure and form. On the other hand, modern open form costumes are usually found in sub-cultural styles such as punk, hippie, kitsch and vintage, and some ethnic looks. Following is a summary of the characteristics of open form shown in the ethnic look. 1. The shape, structure of costumes, hair accessories, lace, ruffle and ornaments are complicated and irregular. 2. The silhouette is inconspicuous because of ambiguity between backgrounds and ABC (Apparel-Body-Construct) or the use of see-through materials. 3. It makes complicated visual shapes because it does not have a single type but is composed of various clothing items together. 4. It gives complex feelings by matching various colors or more than two different fabrics. 5. It looks like the open type because of the complex patterns shown in the costumes.

Closed form interaction surfaces for nonlinear design codes of RC columns with MC 90

  • Barros, M.H.F.M.;Ferreira, C.C.;Barros, A.F.M.
    • Computers and Concrete
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    • v.2 no.1
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    • pp.55-77
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    • 2005
  • The closed form solution of the equilibrium equations in the ultimate design of reinforced concrete sections under biaxial bending is presented. The stresses in the materials are described by the Model Code 1990 equations. Computation of the integral equations is performed generally in terms of all variables. The deformed shape of the section in the ultimate conditions is defined by Heaviside functions. The procedure is convenient for the use of mathematical manipulation programs and the results are easily included into nonlinear analysis codes. The equations developed for rectangular sections can be applied for other sections, such as T, L, I for instance, by decomposition into rectangles. Numerical examples of the developed model for rectangular sections and composed sections are included.

Explicit and Closed-form Expressions Describing Magnetic Behaviors of The First-Order Uniaxial Magnetic Materials (1차 비등방성 단자구 자성체의 자기행동을 기술하는 닫힌형태의 양함수들)

  • Hur, Jeen;Shin, Sung-Chul
    • Journal of the Korean Magnetics Society
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    • v.8 no.2
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    • pp.49-56
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    • 1998
  • Explicit and closed-form expressions describing magnetic behaviors of uniaxial magnetic materials are derived. Explicit and closed-form expressions for magnetic torque, magnetization orientation, and thier derivative functions with respect to the intensity and the orientation of an applied field. Those explicit expressions could give elegant mehtods of measuring magnetic anisotropy and saturation magnetization by the least squre fitting. In addition, on could use them to study the distribution function of magnetic propeties of a non-interacting magnetic aggregate.

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PRICING OF QUANTO CHAINED OPTIONS

  • Kim, Geonwoo
    • Communications of the Korean Mathematical Society
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    • v.31 no.1
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    • pp.199-207
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    • 2016
  • A chained option is a barrier option activated in the event that the underlying asset price crosses barrier or barriers prior to maturity in a specified order. In this paper, we study the pricing of chained options with the quanto property called the "Quanto chained option". A quanto chained option is a chained option starting at time when the foreign exchange rate has the multiple crossing of specified barriers. We provide closed-form formulas for valuing the quanto chained options based on probabilistic approach.

On Estimating Burr Type XII Parameter Based on General Type II Progressive Censoring

  • Kim Chan-Soo
    • Communications for Statistical Applications and Methods
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    • v.13 no.1
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    • pp.89-99
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    • 2006
  • This article deals with the problem of estimating parameters of Burr Type XII distribution, on the basis of a general progressive Type II censored sample using Bayesian viewpoints. The maximum likelihood estimator does not admit closed form but explicit sharp lower and upper bounds are provided. Assuming squared error loss and linex loss functions, Bayes estimators of the parameter k, the reliability function, and the failure rate function are obtained in closed form. Finally, a simulation study is also included.

User's responses to the type of campus layouts -Based on perceived safety and landscape visual preferences- ([캠퍼스 공간설계 유형에 따른 이용자의 지각반응특성에 관한 연구-안전지각과 시각선호에 대한 비교 분석-)

  • 엄붕훈;한성미
    • Journal of the Korean Institute of Landscape Architecture
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    • v.25 no.2
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    • pp.104.1-104.1
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    • 1997
  • The purpose of this study is to grasp the characteristics of user''''s response to perceived safety and visual preferences for outdoor green spaces by the types of campus layouts. This research was investigated by color slide ratings and questionnaire survey to the students who are majoring in Landscape architecture in three universities locating at Taegu area. Two research sites have similarities in many ways but have differences in campus land form and design type such as ''''Closed'''' and ''''Open'''' types. Major results were summarised as follows ; 1. As a result of the slide test, the high degree of visual preference was shown in the campus that is ''''Closed'''' type. However the degree of perceived safety was lower than that of in Youngnam Univ. campus. 2. According to the result of the comparative analysis between user''''s perceived safety and visual preferences in each campus, the degree of perceived safety at ''''Closed'''' type was lower than that of ''''Open'''' type, but the degree of visual satisfactioni was higher at ''''Closed'''' type. 3. The factors affecting visual preference in campus were shown as density of wood, land form, and diverse type of the spaces. On the other hand, the factors affecting perceived safety were ''''enclosed space by wood'''' at the day time, and ''''the condition of lighting'''' at night. 4. Regarding gender differences in sensation of each space variables, female users showed higher satisfactio on the scenic beauty. 5. Regression analysis showed that general satisfation was determined by the variables such as ''''arrangement'''', familiarity'''', ''''cleanness'''', and ''''closed feeling'''', in Kyungbook Univ. And in Youngnam Univ. , the variables were ''''texture'''', ''''perceived beauty'''', ''''cleanness'''', and ''''complexity'''' respectively. 6. In conclusion, campus users wanted the outdoor spaces that have various land form and somewhat ''''open-closed'''' mixture type, which has a good ''''Edge Effect'''' to satisfy both aspects in safety and visual preferneces.