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设计是可以自证的

收藏 2014年第12期 64-69页

作者： Z roderick vos

"我们拆毁了墙壁和天花板,以区分创造和商业、想象和现实、网站和商店、橱窗和仓库、产品和原型、人群和品牌、视觉和触觉、欲望和拥有。"roderick vos工作室的网站上写着这么几行大字,如同他刻意强调的,roderick本人也是极富风格,对于... 详细信息

"我们拆毁了墙壁和天花板,以区分创造和商业、想象和现实、网站和商店、橱窗和仓库、产品和原型、人群和品牌、视觉和触觉、欲望和拥有。"roderick vos工作室的网站上写着这么几行大字,如同他刻意强调的,roderick本人也是极富风格,对于设计和市场有着清醒的认知。

关键词：印度尼西亚商店服务设施设计师自证

Global Asymptotics of Krawtchouk Polynomials——a Riemann-Hilbert Approach

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Chinese Annals of Mathematics,Series B 2007年第1期28卷 1-34页

作者： roderick WONG Department of Mathematics City University of Hong Kong Tat Chee AvenueKowloonHong KongChina

In this paper, we study the asymptotics of the Krawtchouk polynomials Kn^N（z;p,q） as the degree n becomes large. Asymptotic expansions are obtained when the ratio of the parameters n/N tends to a limit c E （0, 1） as n →∞. The results are globally valid in one or two regions in the complex z-plane depending on the values of c and p; in particular, they are valid in regions containing the interval on which these polynomials are orthogonal, Our method is based on the Riemann-Hilbert approach introduced by Delft and Zhou.

关键词： Global asymptotics Krawtchouk polynomials Parabolic cylinderfunctions Airy functions Riemann-Hilbert problems

Error Bounds for Uniform Asymptotic Expansions-Modified Bessel Function of Purely Imaginary Order

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Chinese Annals of Mathematics,Series B 2010年第5期31卷 759-780页

作者： Wei SHI roderick WONG Wuhan Institute of Physics and Mathematics The Chinese Academy of Sciences Wuhan 430071 China. Department of Mathematics City University of Hong Kong Tat Chee Avenue Kowloon Hong Kong China.

The authors modify a method of Olde Daalhuis and Temme for representing the remainder and coefficients in Airy-type expansions of *** using a class of rational functions,they express these quantities in terms of Cauchy-type integrals;these expressions are natural generalizations of integral representations of the coe?cients and the remainders in the Taylor expansions of analytic *** using the new representation,a computable error bound for the remainder in the uniform asymptotic expansion of the modified Bessel function of purely imaginary order is derived.

关键词： Modified Bessel function of purely imaginary order Airy function Uniform asymptotic expansion Error bound

Modeling large reversible electric-field-induced strain in ferroelectric materials using 90° orientation switching

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Science China(Technological Sciences) 2009年第1期52卷 141-147页

作者： roderick V. N. MELNIK Mathematical Modelling and Computational Sciences Wilfrid Laurier University Waterloo 75 University Ave W Canada N2L 3C5

Reversible large electric-field-induced strain caused by reversible orientation switchings in BaTiO3 is modeled using the Landau's theory of phase transition. A triple well free energy function is constructed. Each of its minima is associated with one of the polarization orientations involved. Nonlinear constitu- tive laws accounting for reversible orientation switchings and electrostriction effects are obtained by using thermodynamic equilibrium conditions. Hysteretic dynamics of one-dimensional structures is described by coupled nonlinear differential equations. Double hysteretic loops in the electric and me- chanic fields are both successfully modeled. Giant reversible electrostriction is modeled as a conse-quence of reversible orientation switchings via electro-mechanical couplings. Comparisons with ex-perimental results reported in literatures are presented.

关键词： large electrostriction reversible switchings double hysteresis differential model

Global Asymptotics of Orthogonal Polynomials Associated with a Generalized Freud Weight

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Chinese Annals of Mathematics,Series B 2018年第3期39卷 553-596页

作者： Zhi-Tao WEN roderick WONG Shuai-Xia XU Department of Mathematics Taiyuan University of TechnologyTaiyuan 030024China Liu Bie Ju Centre for Mathematical Sciences City University of Hong KongHong KongChina Institut Franco-Chinois de l’Energie Nucleaire Sun Yat-sen UniversityGuangzhou 510275China

In this paper, the authors consider the asymptotic behavior of the monic polynomials orthogonal with respect to the weight function w（x） = /x/2αe-（x4＋tx2）, x ∈R, where α is a constant larger than - 1/2 and t is any real number. They consider this problem in three separate cases：（i） c 〉 -2, （ii） c = -2, and （iii） c 〈 -2, where c ：= tN-1/2 is a constant, N = n ＋ a and n is the degree of the polynomial. In the first two cases, the support of the associated equilibrium measure μ is a single interval, whereas in the third case the support of μt consists of two intervals. In each case, globally uniform asymptotic expansions are obtained in several regions. These regions together cover the whole complex plane. The approach is based on a modified version of the steepest descent method for Riemann-Hilbert problems introduced by Deift and Zhou （1993）.

关键词： Orthogonal polynomials Globally uniform asymptotics Riemann-Hilbertproblems The second Painlev6 transcendent Theta function

Component spectroscopic properties of light-harvesting complexes with DFT calculations

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BIOCELL 2020年第3期44卷 279-291页

作者： SHYAM BADU SANJAY PRABHAKAR roderick MELNIK MS2Discovery Interdisciplinary Research Institute M2Net LabWilfrid Laurier UniversityWaterlooON N3L 3V6Canada Department of Natural Science Gordon State CollegeBarnesvilleGA 30204USA BCAM–Basque Center for Applied Mathematics BilbaoE-48009Spain

Photosynthesis is a fundamental process in biosciences and biotechnology that influences profoundly the research in other *** this paper,we focus on the characterization of fundamental components,present in pigment-protein complexes,in terms of their spectroscopic properties such as infrared spectra,nuclear magnetic resonance,as well as nuclear quadrupole resonance,which are of critical importance for many *** components include chlorophylls and *** on the density functional theory method,we calculate the main spectroscopic characteristics of these components for the Fenna-Matthews-Olson light-harvesting complex,analyze them and compare them with available experimental *** outlook is discussed in the context of current and potential applications of the presented results.

关键词： Photosynthesis Bacteriochlorophylls Light harvesting Pigment-protein complexes Density functional theory Complex networks Photocatalysis Biosensing and bioplasmonics

Sonic hedgehog signaling in kidney fibrosis: a master communicator

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Science China(Life Sciences) 2016年第9期59卷 920-929页

作者： Dong Zhou roderick J.Tan Youhua Liu Department of Pathology University of Pittsburgh School of Medicine Department of Medicine University of Pittsburgh School of Medicine State Key Laboratory of Organ Failure Research National Clinical Research Center of Kidney Disease Nanfang Hospital Southern Medical University

The hedgehog signaling cascade is an evolutionarily conserved pathway that regulates multiple aspects of embryonic development and plays a decisive role in tissue homeostasis. As the best studied member of three hedgehog ligands, sonic hedgehog(Shh) is known to be associated with kidney development and tissue repair after various insults. Recent studies uncover an intrinsic link between dysregulated Shh signaling and renal fibrogenesis. In various types of chronic kidney disease(CKD), Shh is upregulated specifically in renal tubular epithelium but targets interstitial fibroblasts, thereby mediating a dynamic epithelialmesenchymal communication(EMC). Tubule-derived Shh acts as a growth factor for interstitial fibroblasts and controls a hierarchy of fibrosis-related genes, which lead to the excessive deposition of extracellular matrix in renal interstitium. In this review, we recapitulate the principle of Shh signaling, its activation and regulation in a variety of kidney diseases. We also discuss the potential mechanisms by which Shh promotes renal fibrosis and assess the efficacy of blocking this signaling in preclinical settings. Continuing these lines of investigations will provide novel opportunities for designing effective therapies to improve CKD prognosis in patients.

关键词： Sonic hedgehog Gli tubular cells fibroblast renal fibrosis

EFFECT OF INTERNAL VISCOSITY OF POLYMERIC FLUIDS UNDER STRONG EXTENSIONAL FLOWS

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Chinese Journal of Polymer Science 2009年第2期27卷 189-193页

作者：杨晓东 roderick V.N.Melnik Department of Engineering Mechanics Shenyang Institute of Aeronautical Engineering Mathematical Modelling & Computational Sciences Wilfrid Laurier UniversityWaterlooOntarioCanada N2L 3C5

The dumbbell model with internal viscosity for a dilute polymer solution is investigated based on a balance of viscous drag and restoring Brownian *** approximate method is used to obtain the solution of extensional stress in closed form in the case of steady *** different internal viscosities,this parametric study shows different asymptotic regimes of the extensional viscosity as a function of strain *** analysis may explain the attenuation of pressure drop in strong flows from a phenomeno...

关键词： Polymeric fluid Internal viscosity Extensional viscosity.

Invariant and energy analysis of an axially retracting beam

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Chinese Journal of Aeronautics 2016年第4期29卷 952-961页

作者： Yang Xiaodong Liu Ming Zhang Wei roderick V.N.Melnik Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Engineering College of Mechanical Engineering Beijing University of Technology M2NeT Laboratory The MS2Discovery Interdisciplinary Research Institute Wilfrid Laurier University

The mechanism of a retracting cantilevered beam has been investigated by the invariant and energy-based analysis. The time-varying parameter partial differential equation governing the transverse vibrations of a beam with retracting motion is derived based on the momentum theorem. The assumed-mode method is used to truncate the governing partial differential equation into a set of ordinary differential equations (ODEs) with time-dependent coefficients. It is found that if the order of truncation is not less than the order of the initial conditions, the assumed-mode method can yield accurate results. The energy transfers among assumed modes are discussed during retraction. The total energy varying with time has been investigated by numerical and analytical methods, and the results have good agreement with each other. For the transverse vibrations of the axially retracting beam, the adiabatic invariant is derived by both the averaging method and the Bessel function method. (C) 2016 Chinese Society of Aeronautics and Astronautics. Production and hosting by Elsevier Ltd. This is an open access article under the CC BY-NC-ND license.

关键词： Adiabatic invariants Asymptotic analysis Retracting beam Time-varying systems Transient dynamics