• Title/Summary/Keyword: rational functions

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Joint Development of Park and Green Space - A New Pattern and Key Points for Developing Parks and Greens Space in Shanghai-

  • Xiang Gao;Deshao You
    • Journal of the Korean Institute of Landscape Architecture International Edition
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    • no.2
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    • pp.57-64
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    • 2004
  • Nowadays the parks in Shanghai tend to develop towards two directions. Small and medimn parks are being gradually transformed from closed management to open management, while large ones emphasize their nature of theme and nature of functions. Simultaneously, the number of large and open public green spaces has been significantly increased. Although the public green space does not adopt the management pattern for parks, there is almost no difference between public green space and ordinary parks so far as the functions and scales are concerned. Due to the fact that there is no obvious boundary between a public park and a public green space, this paper raises a suggestion to coordinate continuously their management and functions so that the distribution of and the connection between the urban green spaces can be more rational and more definite and a sound green network can be formed. Starting from the viewpoint of emphasizing accessibility to green spaces and enhancing the angle of linking green spaces, we aim at transforming a park system to a multifunctional green system, extending the effects and service radius of large green spaces, and strengthening the internal connections with the surrounding areas so that a high-quality green space can be formed with the connection of the green space network.

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Architectural Planning Study on Spatial Composition of Mobile Seclusion Module - Based on Modular Construction System (이동형 안정실 모듈의 공간구성에 대한 건축계획적 연구 - 모듈러 건축 공법을 기반으로)

  • Kim, Sung Hyun;Yang, Nae-won
    • Journal of The Korea Institute of Healthcare Architecture
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    • v.29 no.2
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    • pp.49-60
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    • 2023
  • Purpose: This study aims to establish detailed spatial planning by identifying the needs for a seclusion module for emergency psychiatric patients. Methods: The necessity of medical space with seclusion function was analyzed from spatial, medical, and social perspectives. The needs for a space capable of performing three medical functions: protection, isolation, and treatment, was analyzed. Among various types of mobile medical facilities, seclusion space was considered suitable for utilizing modular construction methods, as it is the most rational method that can satisfy the environmental level of fixed healthcare facilities' space. Therefore, seclusion modules based on modular construction were planned, consisting of two protective units for stabilizing patients with psychiatric illness, one for treatment unit that can accommodate both internal and external treatment, and another one for an infectious disease isolation unit equipped with negative pressure equipment. Implications: This study analyzed the necessary medical functions of the interior space of the mobile stabilization module based on the spatial analysis of existing medical facilities, and proposed alternative spatial configurations according to treatment, seclusion, isolation functions.

Shape Design Sensitivity Analysis using Isogeometric Approach (CAD 형상을 활용한 설계 민감도 해석)

  • Ha, Seung-Hyun;Cho, Seon-Ho
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2007.04a
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    • pp.577-582
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    • 2007
  • A variational formulation for plane elasticity problems is derived based on an isogeometric approach. The isogeometric analysis is an emerging methodology such that the basis functions in analysis domain arc generated directly from NURBS (Non-Uniform Rational B-Splines) geometry. Thus. the solution space can be represented in terms of the same functions to represent the geometry. The coefficients of basis functions or the control variables play the role of degrees-of-freedom. Furthermore, due to h-. p-, and k-refinement schemes, the high order geometric features can be described exactly and easily without tedious re-meshing process. The isogeometric sensitivity analysis method enables us to analyze arbitrarily shaped structures without re-meshing. Also, it provides a precise construction method of finite element model to exactly represent geometry using B-spline base functions in CAD geometric modeling. To obtain precise shape sensitivity, the normal and curvature of boundary should be taken into account in the shape sensitivity expressions. However, in conventional finite element methods, the normal information is inaccurate and the curvature is generally missing due to the use of linear interpolation functions. A continuum-based adjoint sensitivity analysis method using the isogeometric approach is derived for the plane elasticity problems. The conventional shape optimization using the finite element method has some difficulties in the parameterization of boundary. In isogeometric analysis, however, the geometric properties arc already embedded in the B-spline shape functions and control points. The perturbation of control points in isogeometric analysis automatically results in shape changes. Using the conventional finite clement method, the inter-element continuity of the design space is not guaranteed so that the normal vector and curvature arc not accurate enough. On tile other hand, in isogeometric analysis, these values arc continuous over the whole design space so that accurate shape sensitivity can be obtained. Through numerical examples, the developed isogeometric sensitivity analysis method is verified to show excellent agreement with finite difference sensitivity.

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SHANGHAI URBAN GENERAL LAYOUT AND TRAFFIC SYSTEM (론상해기유철로추뉴재성시쾌속유궤교통 로망중적지위화작용)

  • CHANG SHAO LIANG
    • Proceedings of the KOR-KST Conference
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    • 1995.05a
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    • pp.51-59
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    • 1995
  • It is an objective of Shanghai urban development to quickly build Shanghai into one of the international centres of economy, finance and trade. To fulfil the objective, a rational urban general layout and a satisfactory traffic network are needed. As a metropolis with complete urban functions and specified geographical position, Shanghai must develop a perfect citytown system that best suits its composite urban distribution. In planning the central city, the principle of "open and multi-centred" and "optimization of land use" should be taken into consideration. To build a satisfactory urban traffic network, emphasis should be laid upon the construction of deefwater wharf, air-field and inforation centre. In addition, determination should be made to build a high-speed traffic means including high speed railroad and express highway so that a public traffic network is realised on and above ground, and underground. A solution of traffic preblem in Shanghai lies in good understanding of traffic policy and strenthening of strategic management combined with a rational layout of traffic circulation.

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Closed Queueing Networks and Zeros of Successive Derivatives

  • Namn, Su-Hyeon
    • Journal of the Korean Operations Research and Management Science Society
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    • v.22 no.1
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    • pp.101-121
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    • 1997
  • Consider a Jackson type closed queueing network in which each queue has a single exponential server. Assume that N customers are moving among .kappa. queues. We propose a candidata procedure which yields a lower bound of the network throughput which is sharper than those which are currently available : Let (.rho.$_{1}$, ... .rho.$_{\kappa}$) be the loading vector, let x be a real number with 0 .leq. x .leq. N, and let y(x) denote that y is a function of x and be the unique positive solution of the equation. .sum.$_{i = 1}$$^{\kappa}$y(x) .rho.$_{i}$ (N - y(x) x $p_{i}$ ) = 1 Whitt [17] has shown that y(N) is a lower bound for the throughput. In this paper, we present evidence that y(N -1) is also a lower bound. In dosing so, we are led to formulate a rather general conjecture on 'quot;Migrating Critical Points'quot; (MCP). The .MCP. conjecture asserts that zeros of successive derivatives of certain rational functions migrate at an accelerating rate. We provide a proof of MCP in the polynomial case and some other special cases, including that in which the rational function has exactly two real poles and fewer than three real zeros.tion has exactly two real poles and fewer than three real zeros.

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Structural Design and Characterization of a Channel-forming Peptide

  • Krittanai, Chartchai;Panyim, Sakol
    • BMB Reports
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    • v.37 no.4
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    • pp.460-465
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    • 2004
  • A 16-residue polypeptide model with the sequence acetyl-YALSLAATLLKEAASL-OH was derived by rational de novo peptide design. The designed sequence consists of amino acid residues with high propensity to adopt an alpha helical conformation, and sequential order was arranged to produce an amphipathic surface. The designed sequence was chemically synthesized using a solid-phase method and the polypeptide was purified by reverse-phase liquid chromatography. Molecular mass analysis by electro-spray ionization mass spectroscopy confirmed the correct designed sequence. Structural characterization by circular dichroism spectroscopy demonstrated that the peptide adopts the expected alpha helical conformation in 50% acetonitrile solution. Liposome binding assay using Small Unilamellar Vesicle (SUV) showed a marked release of entrapped glucose by interaction between the lipid membrane and the tested peptide. The channel-forming activity of the peptide was revealed by a planar lipid bilayer experiment. An analysis of the conducting current at various applied potentials suggested that the peptide forms a cationic ion channel with an intrinsic conductance of 188 pS. These results demonstrate that a simple rational de novo design can be successfully employed to create short peptides with desired structures and functions.

A Critical Review on Behavioral Economics with a Focus on Prospect Theory and EBA Model (프로스펙트 이론과 속성별 제거모형을 중심으로 한 행동경제학에 대한 비판적 고찰)

  • Won, Jee-Sung
    • Journal of Distribution Science
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    • v.11 no.5
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    • pp.63-76
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    • 2013
  • Purpose - For the past several decades, behavioral economics or behavioral decision theory has undergone rapid development. This study provides a critical review of the development of behavioral economics with a focus on what are deemed to be core theories in the field. Starting from the utility function proposed by Daniel Bernoulli in the 18th century, the development history of utility functions until the emergence of the prospect theory is thoroughly reviewed. Some of the experimental results violating the traditionally assumed utility function and supporting the prospect theory value function are summarized. The most representative principles of rational choice are transitivity, independence from irrelevant alternatives (IIA), and regularity. The development of behavioral economics has been triggered by finding counter-examples to these principles. Some of the choice behaviors discussed in this study as counter-examples to the traditional theories of rational choice are the St. Petersburg paradox; the Allais paradox; gambling behavior; and the various context effects including the similarity effect, attraction effect, and the compromise effect. The Elimination-by-Aspects (EBA) model, which was proposed as an explanation for the similarity effect, is discussed in detail as well. Based on the literature review and further analysis, this study summarizes the relationship between the context effects, prospect theory, and EBA model. Research design, data, and methodology - This study provides an extensive literature review on several important theories in the field of behavioral decision theory and adds some critical comments to the theories and the relationships among them. This study first reviews the development of utility functions. Daniel Bernoulli introduced the concept of utility function to solve the St. Petersburg paradox. In the mid-20th century, Herbert Simon proposed the "satisficing" heuristic and presented a value function with a shape different from traditional utility functions. This study highlights the strengths and weaknesses of several utility functions proposed until the emergence of the prospect theory value function. Results - This study posits that prospect theory and EBA model are the two most important theories in the field of behavioral decision theory. They can explain various choice behaviors that traditional utility maximization analysis has been unable to. The application of these models to various fields is further increasing nowadays. This study explains how prospect theory and the EBA model can be used to explain the context effects. Conclusions - The traditional economic theory relies on a single variable called "utility" in explaining consumer choice. However, this study argues that, in investigating consumer choice, several other variables should also be considered. These are the similarity among alternatives, an alternative's prototypicality within the category, the dominance relationship between alternatives, and the reference point in evaluating alternatives. Due to the development of behavioral economics, we are now closer to a more complete understanding of consumer choice behavior than in the past when we had only a single tool called utility.

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EXISTENCE OF POLYNOMIAL INTEGRATING FACTORS

  • Stallworth, Daniel T.;Roush, Fred W.
    • Kyungpook Mathematical Journal
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    • v.28 no.2
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    • pp.185-196
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    • 1988
  • We study existence of polynomial integrating factors and solutions F(x, y)=c of first order nonlinear differential equations. We characterize the homogeneous case, and give algorithms for finding existence of and a basis for polynomial solutions of linear difference and differential equations and rational solutions or linear differential equations with polynomial coefficients. We relate singularities to nature of the solution. Solution of differential equations in closed form to some degree might be called more an art than a science: The investigator can try a number of methods and for a number of classes of equations these methods always work. In particular integrating factors are tricky to find. An analogous but simpler situation exists for integrating inclosed form, where for instance there exists a criterion for when an exponential integral can be found in closed form. In this paper we make a beginning in several directions on these problems, for 2 variable ordinary differential equations. The case of exact differentials reduces immediately to quadrature. The next step is perhaps that of a polynomial integrating factor, our main study. Here we are able to provide necessary conditions based on related homogeneous equations which probably suffice to decide existence in most cases. As part of our investigations we provide complete algorithms for existence of and finding a basis for polynomial solutions of linear differential and difference equations with polynomial coefficients, also rational solutions for such differential equations. Our goal would be a method for decidability of whether any differential equation Mdx+Mdy=0 with polynomial M, N has algebraic solutions(or an undecidability proof). We reduce the question of all solutions algebraic to singularities but have not yet found a definite procedure to find their type. We begin with general results on the set of all polynomial solutions and integrating factors. Consider a differential equation Mdx+Ndy where M, N are nonreal polynomials in x, y with no common factor. When does there exist an integrating factor u which is (i) polynomial (ii) rational? In case (i) the solution F(x, y)=c will be a polynomial. We assume all functions here are complex analytic polynomial in some open set.

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A Study of the Formative Characteristics in Architecture and Fashion of the Modernism Period (모더니즘 시대의 건축과 패션에 나타난 조형적 특성에 관한 연구)

  • Kim Hye-Young;Hur Da-Sul
    • Journal of the Korean Society of Costume
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    • v.55 no.4 s.94
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    • pp.62-78
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    • 2005
  • The modern period was the time that the most radical and extensive social and mental changes were occurring throughout the history, and modernism was prevailing as a general cognition system of people. Modernism, which carries principles of progress, belief in application of scientific technology, worship of reason, ideal of liberty as a col-e value of civilization, was plated as a leading ideology in the realm of society, culture and art In the early 20th century. In this study, the formative characteristics of modernism seen in architecture and fashion are analogized and analyzed in four ways ell the basis of the theory of p. Greenhalgh. First, 'Standardization for mass-production', which is analogized which P. Greenhalgh's 'Decompart-mentalisation', 'Social Morality', and' Technology'. Standardization for mass-production in architecture focuses on the development of a design prototype in order to mass produce; the development of ready-made clothes is actively done ill the fashion area for the same purpose as well. Second, 'Rational functionality' coming from P. Greenhalgh's 'The total work of art' and 'Function'. While rational functionality in architecture puts an emphasis on the rational operation of all the functions in regard to the relation between each part and the whole, rational functionality in fashion call be mainly seen in a dramatic increase in physical activity which could be hardly found before the modernism period. Namely, all the fashion design elements are developed for a certain rational and functional design on each part as well as on the whole in order to greatly increase physical activity. Third, 'the pursuit for genuineness of objects and universality of beauty' is on the analogy of P Greenhalgh's 'Truth', 'Anti-historicism', 'Abstraction', 'Internationalism/Universality'. This idea is adopted in architecture in the form of design of geometrical abstraction. In the same way, design using geometrical abstraction comes to have a significant meaning in fashion of the modernism period. So to speak, modernism architecture and fashion can be reborn to become an inter·national style by giving up the decorative and regional design prevailing before modernism and by expressing universal aesthetics in the form of simplicity and abstraction instead. Fourth, 'Expression of progress through a change in a viewpoint' stems from P. Greenhalgh's 'Progress', 'Transformation of Consciousness', 'Theology'. In architecture, this concept appears by using new construction materials and methods and by representing new aesthetical idea. As a result, it makes it possible for people to make progress for better lives. Like in architecture, new attempts for material application and processing are made in fashion. This gives rise to a general change in a viewpoint related to fashion, so that a flew fashion design which there has never been before can come out.

Isogeometric Analysis of Mindlin Plate Structures Using Commercial CAD Codes (상용 CAD와 연계한 후판 구조의 아이소-지오메트릭 해석)

  • Lee, Seung-Wook;Koo, Bon-Yong;Yoon, Min-Ho;Lee, Jae-Ok;Cho, Seon-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.24 no.3
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    • pp.329-335
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    • 2011
  • The finite element method (FEM) has been used for various fields like mathematics and engineering. However, the FEM has a difficulty in describing the geometric shape exactly due to its property of piecewise linear discretization. Recently, however, a so-called isogeometric analysis method that uses the non-uniform rational B-spline(NURBS) basis function has been developed. The NURBS can be used to describe the geometry exactly and play a role of basis functions for the response analysis. Nevertheless, constructing the NURBS basis functions in analysis is as costly as a meshing process in the FEM. Since the isogeometric method shares geometric data with CAD, it is possible to intactly import the model data from commercial CAD tools. In this paper, we use the Rhinoceros 3D software to create CAD models and export in the form of STEP file. The information of knot vectors and control points in the NURBS is utilized in the isogeometric analysis. Through some numerical examples, the accuracy of isogeometric method is compared with that of FEM. Also, the efficiency of the isogeometric method that includes the CAD and CAE in a unified framework is verified.