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form asymptotic property</title> <meta name="description" content="Search results for: Hermitian form asymptotic property"> <meta name="keywords" content="Hermitian form asymptotic property"> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a class="navbar-brand" href="https://waset.org"> <img src="https://cdn.waset.org/static/images/wasetc.png" alt="Open Science Research Excellence" title="Open Science Research Excellence" 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action="https://publications.waset.org/abstracts/search"> <div id="custom-search-input"> <div class="input-group"> <i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="Hermitian form asymptotic property"> <input type="submit" class="btn_search" value="Search"> </div> </div> </form> </div> </div> <div class="row mt-3"> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Commenced</strong> in January 2007</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Frequency:</strong> Monthly</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Edition:</strong> International</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 7613</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: Hermitian form asymptotic property</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7613</span> A Survey on Linear Time Invariant Multivariable Positive Real Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mojtaba%20Hakimi-Moghaddam">Mojtaba Hakimi-Moghaddam</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Positive realness as the most important property of driving point impedance of passive electrical networks appears in the control systems stability theory in 1960’s. There are three important subsets of positive real (PR) systems are introduced by researchers, that is, loos-less positive real (LLPR) systems, weakly strictly positive real (WSPR) systems and strictly positive real (SPR) systems. In this paper, definitions, properties, lemmas, and theorems related to family of positive real systems are summarized. Properties in both frequency domain and state space representation of system are explained. Also, several illustrative examples are presented. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=real%20rational%20matrix%20transfer%20functions" title="real rational matrix transfer functions">real rational matrix transfer functions</a>, <a href="https://publications.waset.org/abstracts/search?q=positive%20realness%20property" title=" positive realness property"> positive realness property</a>, <a href="https://publications.waset.org/abstracts/search?q=strictly%20positive%20realness%20property" title=" strictly positive realness property"> strictly positive realness property</a>, <a href="https://publications.waset.org/abstracts/search?q=Hermitian%20form%20asymptotic%20property" title=" Hermitian form asymptotic property"> Hermitian form asymptotic property</a>, <a href="https://publications.waset.org/abstracts/search?q=pole-zero%20properties" title=" pole-zero properties"> pole-zero properties</a> </p> <a href="https://publications.waset.org/abstracts/72983/a-survey-on-linear-time-invariant-multivariable-positive-real-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/72983.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">274</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7612</span> Generalized Dirac oscillators Associated to Non-Hermitian Quantum Mechanical Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Debjit%20Dutta">Debjit Dutta</a>, <a href="https://publications.waset.org/abstracts/search?q=P.%20Roy"> P. Roy</a>, <a href="https://publications.waset.org/abstracts/search?q=O.%20Panella"> O. Panella</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In recent years, non Hermitian interaction in non relativistic as well as relativistic quantum mechanics have been examined from various aspect. We can observe interesting fact that for such systems a class of potentials, namely the PT symmetric and η-pseudo Hermitian admit real eigenvalues despite being non Hermitian and analogues of those system have been experimentally verified. Point to be noted that relativistic non Hermitian (PT symmetric) interactions can be realized in optical structures and also there exists photonic realization of the (1 + 1) dimensional Dirac oscillator. We have thoroughly studied generalized Dirac oscillators with non Hermitian interactions in (1 + 1) dimensions. To be more specific, we have examined η pseudo Hermitian interactions within the framework of generalized Dirac oscillator in (1 + 1) dimensions. In particular, we have obtained a class of interactions which are η-pseudo Hermitian and the metric operator η could have been also found explicitly. It is possible to have exact solutions of the generalized Dirac oscillator for some choices of the interactions. Subsequently we have employed the mapping between the generalized Dirac oscillator and the Jaynes Cummings (JC) model by spin flip to obtain a class of exactly solvable non Hermitian JC as well as anti Jaynes Cummings (AJC) type models. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Dirac%20oscillator" title="Dirac oscillator">Dirac oscillator</a>, <a href="https://publications.waset.org/abstracts/search?q=non-Hermitian%20quantum%20system" title=" non-Hermitian quantum system"> non-Hermitian quantum system</a>, <a href="https://publications.waset.org/abstracts/search?q=Hermitian" title=" Hermitian"> Hermitian</a>, <a href="https://publications.waset.org/abstracts/search?q=relativistic" title=" relativistic "> relativistic </a> </p> <a href="https://publications.waset.org/abstracts/4071/generalized-dirac-oscillators-associated-to-non-hermitian-quantum-mechanical-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/4071.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">458</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7611</span> Degeneracy and Defectiveness in Non-Hermitian Systems with Open Boundary</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Yongxu%20Fu">Yongxu Fu</a>, <a href="https://publications.waset.org/abstracts/search?q=Shaolong%20Wan"> Shaolong Wan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We study the band degeneracy, defectiveness, as well as exceptional points of non-Hermitian systems and materials analytically. We elaborate on the energy bands, the band degeneracy, and the defectiveness of eigenstates under open boundary conditions based on developing a general theory of one-dimensional (1D) non-Hermitian systems. We research the presence of the exceptional points in a generalized non-Hermitian Su-Schrieffer-Heeger model under open boundary conditions. Beyond our general theory, there exist infernal points in 1D non-Hermitian systems, where the energy spectra under open boundary conditions converge on some discrete energy values. We study two 1D non-Hermitian models with the existence of infernal points. We generalize the infernal points to the infernal knots in four-dimensional non-Hermitian systems. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=non-hermitian" title="non-hermitian">non-hermitian</a>, <a href="https://publications.waset.org/abstracts/search?q=degeneracy" title=" degeneracy"> degeneracy</a>, <a href="https://publications.waset.org/abstracts/search?q=defectiveness" title=" defectiveness"> defectiveness</a>, <a href="https://publications.waset.org/abstracts/search?q=exceptional%20points" title=" exceptional points"> exceptional points</a>, <a href="https://publications.waset.org/abstracts/search?q=infernal%20points" title=" infernal points"> infernal points</a> </p> <a href="https://publications.waset.org/abstracts/149871/degeneracy-and-defectiveness-in-non-hermitian-systems-with-open-boundary" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/149871.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">130</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7610</span> Exact Formulas of the End-To-End Green’s Functions in Non-hermitian Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Haoshu%20Li">Haoshu Li</a>, <a href="https://publications.waset.org/abstracts/search?q=Shaolong%20Wan"> Shaolong Wan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The recent focus has been on directional signal amplification of a signal input at one end of a one-dimensional chain and measured at the other end. The amplification rate is given by the end-to-end Green’s functions of the system. In this work, we derive the exact formulas for the end-to-end Green's functions of non-Hermitian single-band systems. While in the bulk region, it is found that the Green's functions are displaced from the prior established integral formula by O(e⁻ᵇᴸ). The results confirm the correspondence between the signal amplification and the non-Hermitian skin effect. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=non-Hermitian" title="non-Hermitian">non-Hermitian</a>, <a href="https://publications.waset.org/abstracts/search?q=Green%27s%20function" title=" Green's function"> Green's function</a>, <a href="https://publications.waset.org/abstracts/search?q=non-Hermitian%20skin%20effect" title=" non-Hermitian skin effect"> non-Hermitian skin effect</a>, <a href="https://publications.waset.org/abstracts/search?q=signal%20amplification" title=" signal amplification"> signal amplification</a> </p> <a href="https://publications.waset.org/abstracts/149780/exact-formulas-of-the-end-to-end-greens-functions-in-non-hermitian-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/149780.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">141</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7609</span> Quantum Algebra from Generalized Q-Algebra</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Muna%20Tabuni">Muna Tabuni</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The paper contains an investigation of the notion of Q algebras. A brief introduction to quantum mechanics is given, in that systems the state defined by a vector in a complex vector space H which have Hermitian inner product property. H may be finite or infinite-dimensional. In quantum mechanics, operators must be hermitian. These facts are saved by Lie algebra operators but not by those of quantum algebras. A Hilbert space H consists of a set of vectors and a set of scalars. Lie group is a differentiable topological space with group laws given by differentiable maps. A Lie algebra has been introduced. Q-algebra has been defined. A brief introduction to BCI-algebra is given. A BCI sub algebra is introduced. A brief introduction to BCK=BCH-algebra is given. Every BCI-algebra is a BCH-algebra. Homomorphism maps meanings are introduced. Homomorphism maps between two BCK algebras are defined. The mathematical formulations of quantum mechanics can be expressed using the theory of unitary group representations. A generalization of Q algebras has been introduced, and their properties have been considered. The Q- quantum algebra has been studied, and various examples have been given. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Q-algebras" title="Q-algebras">Q-algebras</a>, <a href="https://publications.waset.org/abstracts/search?q=BCI" title=" BCI"> BCI</a>, <a href="https://publications.waset.org/abstracts/search?q=BCK" title=" BCK"> BCK</a>, <a href="https://publications.waset.org/abstracts/search?q=BCH-algebra" title=" BCH-algebra"> BCH-algebra</a>, <a href="https://publications.waset.org/abstracts/search?q=quantum%20mechanics" title=" quantum mechanics"> quantum mechanics</a> </p> <a href="https://publications.waset.org/abstracts/138379/quantum-algebra-from-generalized-q-algebra" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/138379.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">199</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7608</span> Lyapunov and Input-to-State Stability of Stochastic Differential Equations </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Arcady%20Ponosov">Arcady Ponosov</a>, <a href="https://publications.waset.org/abstracts/search?q=Ramazan%20Kadiev"> Ramazan Kadiev</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Input-to-State Stability (ISS) is widely used in deterministic control theory but less known in the stochastic case. Roughly speaking, the theory explains when small perturbations of the right-hand sides of the system on the entire semiaxis cause only small changes in the solutions of the system, again on the entire semiaxis. This property is crucial in many applications. In the report, we explain how to define and study ISS for systems of linear stochastic differential equations with or without delays. The central result connects ISS with the property of Lyapunov stability. This relationship is well-known in the deterministic setting, but its stochastic version is new. As an application, a method of studying asymptotic Lyapunov stability for stochastic delay equations is described and justified. Several examples are provided that confirm the efficiency and simplicity of the framework. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=asymptotic%20stability" title="asymptotic stability">asymptotic stability</a>, <a href="https://publications.waset.org/abstracts/search?q=delay%20equations" title=" delay equations"> delay equations</a>, <a href="https://publications.waset.org/abstracts/search?q=operator%20methods" title=" operator methods"> operator methods</a>, <a href="https://publications.waset.org/abstracts/search?q=stochastic%20perturbations" title=" stochastic perturbations"> stochastic perturbations</a> </p> <a href="https://publications.waset.org/abstracts/127764/lyapunov-and-input-to-state-stability-of-stochastic-differential-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/127764.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">175</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7607</span> Photon Blockade in Non-Hermitian Optomechanical Systems with Nonreciprocal Couplings</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=J.%20Y.%20Sun">J. Y. Sun</a>, <a href="https://publications.waset.org/abstracts/search?q=H.%20Z.%20Shen"> H. Z. Shen</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We study the photon blockade at exceptional points for a non-Hermitian optomechanical system coupled to the driven whispering-gallery-mode microresonator with two nanoparticles under the weak optomechanical coupling approximation, where exceptional points emerge periodically by controlling the relative angle of the nanoparticles. We find that conventional photon blockade occurs at exceptional points for the eigenenergy resonance of the single-excitation subspace driven by a laser field and discuss the physical origin of conventional photon blockade. Under the weak driving condition, we analyze the influences of the different parameters on conventional photon blockade. We investigate conventional photon blockade at nonexceptional points, which exists at two optimal detunings due to the eigenstates in the single-excitation subspace splitting from one (coalescence) at exceptional points to two at nonexceptional points. Unconventional photon blockade can occur at nonexceptional points, while it does not exist at exceptional points since the destructive quantum interference cannot occur due to the two different quantum pathways to the two-photon state not being formed. The realization of photon blockade in our proposal provides a viable and flexible way for the preparation of single-photon sources in the non-Hermitian optomechanical system. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=optomechanical%20systems" title="optomechanical systems">optomechanical systems</a>, <a href="https://publications.waset.org/abstracts/search?q=photon%20blockade" title=" photon blockade"> photon blockade</a>, <a href="https://publications.waset.org/abstracts/search?q=non-hermitian" title=" non-hermitian"> non-hermitian</a>, <a href="https://publications.waset.org/abstracts/search?q=exceptional%20points" title=" exceptional points"> exceptional points</a> </p> <a href="https://publications.waset.org/abstracts/178849/photon-blockade-in-non-hermitian-optomechanical-systems-with-nonreciprocal-couplings" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/178849.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">140</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7606</span> The Sequential Estimation of the Seismoacoustic Source Energy in C-OTDR Monitoring Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Andrey%20V.%20Timofeev">Andrey V. Timofeev</a>, <a href="https://publications.waset.org/abstracts/search?q=Dmitry%20V.%20Egorov"> Dmitry V. Egorov</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The practical efficient approach is suggested for estimation of the seismoacoustic sources energy in C-OTDR monitoring systems. This approach represents the sequential plan for confidence estimation both the seismoacoustic sources energy, as well the absorption coefficient of the soil. The sequential plan delivers the non-asymptotic guaranteed accuracy of obtained estimates in the form of non-asymptotic confidence regions with prescribed sizes. These confidence regions are valid for a finite sample size when the distributions of the observations are unknown. Thus, suggested estimates are non-asymptotic and nonparametric, and also these estimates guarantee the prescribed estimation accuracy in the form of the prior prescribed size of confidence regions, and prescribed confidence coefficient value. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=nonparametric%20estimation" title="nonparametric estimation">nonparametric estimation</a>, <a href="https://publications.waset.org/abstracts/search?q=sequential%20confidence%20estimation" title=" sequential confidence estimation"> sequential confidence estimation</a>, <a href="https://publications.waset.org/abstracts/search?q=multichannel%20monitoring%20systems" title=" multichannel monitoring systems"> multichannel monitoring systems</a>, <a href="https://publications.waset.org/abstracts/search?q=C-OTDR-system" title=" C-OTDR-system"> C-OTDR-system</a>, <a href="https://publications.waset.org/abstracts/search?q=non-lineary%20regression" title=" non-lineary regression"> non-lineary regression</a> </p> <a href="https://publications.waset.org/abstracts/35690/the-sequential-estimation-of-the-seismoacoustic-source-energy-in-c-otdr-monitoring-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/35690.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">356</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7605</span> Polar Bergman Polynomials on Domain with Corners</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Laskri%20Yamina">Laskri Yamina</a>, <a href="https://publications.waset.org/abstracts/search?q=Rehouma%20Abdel%20Hamid"> Rehouma Abdel Hamid </a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper we present a new class named polar of monic orthogonal polynomials with respect to the area measure supported on G, where G is a bounded simply-connected domain in the complex planeℂ. We analyze some open questions and discuss some ideas properties related to solving asymptotic behavior of polar Bergman polynomials over domains with corners and asymptotic behavior of modified Bergman polynomials by affine transforms in variable and polar modified Bergman polynomials by affine transforms in variable. We show that uniform asymptotic of Bergman polynomials over domains with corners and by Pritsker's theorem imply uniform asymptotic for all their derivatives. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Bergman%20orthogonal%20polynomials" title="Bergman orthogonal polynomials">Bergman orthogonal polynomials</a>, <a href="https://publications.waset.org/abstracts/search?q=polar%20rthogonal%20polynomials" title=" polar rthogonal polynomials"> polar rthogonal polynomials</a>, <a href="https://publications.waset.org/abstracts/search?q=asymptotic%20behavior" title=" asymptotic behavior"> asymptotic behavior</a>, <a href="https://publications.waset.org/abstracts/search?q=Faber%20polynomials" title=" Faber polynomials"> Faber polynomials</a> </p> <a href="https://publications.waset.org/abstracts/15621/polar-bergman-polynomials-on-domain-with-corners" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/15621.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">445</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7604</span> Asymptotic Expansion of the Korteweg-de Vries-Burgers Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jian-Jun%20Shu">Jian-Jun Shu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> It is common knowledge that many physical problems (such as non-linear shallow-water waves and wave motion in plasmas) can be described by the Korteweg-de Vries (KdV) equation, which possesses certain special solutions, known as solitary waves or solitons. As a marriage of the KdV equation and the classical Burgers (KdVB) equation, the Korteweg-de Vries-Burgers (KdVB) equation is a mathematical model of waves on shallow water surfaces in the presence of viscous dissipation. Asymptotic analysis is a method of describing limiting behavior and is a key tool for exploring the differential equations which arise in the mathematical modeling of real-world phenomena. By using variable transformations, the asymptotic expansion of the KdVB equation is presented in this paper. The asymptotic expansion may provide a good gauge on the validation of the corresponding numerical scheme. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=asymptotic%20expansion" title="asymptotic expansion">asymptotic expansion</a>, <a href="https://publications.waset.org/abstracts/search?q=differential%20equation" title=" differential equation"> differential equation</a>, <a href="https://publications.waset.org/abstracts/search?q=Korteweg-de%20Vries-Burgers%20%28KdVB%29%20equation" title=" Korteweg-de Vries-Burgers (KdVB) equation"> Korteweg-de Vries-Burgers (KdVB) equation</a>, <a href="https://publications.waset.org/abstracts/search?q=soliton" title=" soliton"> soliton</a> </p> <a href="https://publications.waset.org/abstracts/78883/asymptotic-expansion-of-the-korteweg-de-vries-burgers-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/78883.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">249</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7603</span> Boundedness and Asymptotic Behavior of Solutions for Gierer-Meinhardt Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=S.%20Henine">S. Henine</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Youkana"> A. Youkana</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This work is devoted to study the global existence and asymptotic behavior of solutions for Gierer-Meinhardt systems arising in biological phenomena. We prove that the solutions are global and uniformly bounded by a positive constant independent of the time. Our technique is based on Lyapunov functional argument. Under suitable conditions, we established a result on the asymptotic behavior of solutions. These results are valid for any positive continuous initial data, and improve some recently results established. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=asymptotic%20behavior" title="asymptotic behavior">asymptotic behavior</a>, <a href="https://publications.waset.org/abstracts/search?q=Gierer-Meinhardt%20systems" title=" Gierer-Meinhardt systems"> Gierer-Meinhardt systems</a>, <a href="https://publications.waset.org/abstracts/search?q=global%20existence" title=" global existence"> global existence</a>, <a href="https://publications.waset.org/abstracts/search?q=Lyapunov%20functional" title=" Lyapunov functional"> Lyapunov functional</a> </p> <a href="https://publications.waset.org/abstracts/39077/boundedness-and-asymptotic-behavior-of-solutions-for-gierer-meinhardt-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/39077.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">388</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7602</span> A Variant of Newton's Method with Free Second-Order Derivative</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Young%20Hee%20Geum">Young Hee Geum</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we present the iterative method and determine the control parameters to converge cubically for solving nonlinear equations. In addition, we derive the asymptotic error constant. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=asymptotic%20error%20constant" title="asymptotic error constant">asymptotic error constant</a>, <a href="https://publications.waset.org/abstracts/search?q=iterative%20method" title=" iterative method"> iterative method</a>, <a href="https://publications.waset.org/abstracts/search?q=multiple%20root" title=" multiple root"> multiple root</a>, <a href="https://publications.waset.org/abstracts/search?q=root-finding" title=" root-finding"> root-finding</a>, <a href="https://publications.waset.org/abstracts/search?q=order%20of%20convergent" title=" order of convergent"> order of convergent</a> </p> <a href="https://publications.waset.org/abstracts/10054/a-variant-of-newtons-method-with-free-second-order-derivative" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/10054.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">292</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7601</span> High Accuracy Analytic Approximations for Modified Bessel Functions I₀(x)</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Pablo%20Martin">Pablo Martin</a>, <a href="https://publications.waset.org/abstracts/search?q=Jorge%20Olivares"> Jorge Olivares</a>, <a href="https://publications.waset.org/abstracts/search?q=Fernando%20Maass"> Fernando Maass</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A method to obtain analytic approximations for special function of interest in engineering and physics is described here. Each approximate function will be valid for every positive value of the variable and accuracy will be high and increasing with the number of parameters to determine. The general technique will be shown through an application to the modified Bessel function of order zero, I₀(x). The form and the calculation of the parameters are performed with the simultaneous use of the power series and asymptotic expansion. As in Padé method rational functions are used, but now they are combined with other elementary functions as; fractional powers, hyperbolic, trigonometric and exponential functions, and others. The elementary function is determined, considering that the approximate function should be a bridge between the power series and the asymptotic expansion. In the case of the I₀(x) function two analytic approximations have been already determined. The simplest one is (1+x²/4)⁻¹/⁴(1+0.24273x²) cosh(x)/(1+0.43023x²). The parameters of I₀(x) were determined using the leading term of the asymptotic expansion and two coefficients of the power series, and the maximum relative error is 0.05. In a second case, two terms of the asymptotic expansion were used and 4 of the power series and the maximum relative error is 0.001 at x≈9.5. Approximations with much higher accuracy will be also shown. In conclusion a new technique is described to obtain analytic approximations to some functions of interest in sciences, such that they have a high accuracy, they are valid for every positive value of the variable, they can be integrated and differentiated as the usual, functions, and furthermore they can be calculated easily even with a regular pocket calculator. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=analytic%20approximations" title="analytic approximations">analytic approximations</a>, <a href="https://publications.waset.org/abstracts/search?q=mathematical-physics%20applications" title=" mathematical-physics applications"> mathematical-physics applications</a>, <a href="https://publications.waset.org/abstracts/search?q=quasi-rational%20functions" title=" quasi-rational functions"> quasi-rational functions</a>, <a href="https://publications.waset.org/abstracts/search?q=special%20functions" title=" special functions"> special functions</a> </p> <a href="https://publications.waset.org/abstracts/77484/high-accuracy-analytic-approximations-for-modified-bessel-functions-i0x" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/77484.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">250</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7600</span> Analytical Solutions for Corotational Maxwell Model Fluid Arising in Wire Coating inside a Canonical Die </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Muhammad%20Sohail%20Khan">Muhammad Sohail Khan</a>, <a href="https://publications.waset.org/abstracts/search?q=Rehan%20Ali%20Shah"> Rehan Ali Shah</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The present paper applies the optimal homotopy perturbation method (OHPM) and the optimal homotopy asymptotic method (OHAM) introduced recently to obtain analytic approximations of the non-linear equations modeling the flow of polymer in case of wire coating of a corotational Maxwell fluid. Expression for the velocity field is obtained in non-dimensional form. Comparison of the results obtained by the two methods at different values of non-dimensional parameter l<sub>10</sub>, reveal that the OHPM is more effective and easy to use. The OHPM solution can be improved even working in the same order of approximation depends on the choices of the auxiliary functions. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=corotational%20Maxwell%20model" title="corotational Maxwell model">corotational Maxwell model</a>, <a href="https://publications.waset.org/abstracts/search?q=optimal%20homotopy%20asymptotic%20method" title=" optimal homotopy asymptotic method"> optimal homotopy asymptotic method</a>, <a href="https://publications.waset.org/abstracts/search?q=optimal%20homotopy%20perturbation%20method" title=" optimal homotopy perturbation method"> optimal homotopy perturbation method</a>, <a href="https://publications.waset.org/abstracts/search?q=wire%20coating%20die" title=" wire coating die"> wire coating die</a> </p> <a href="https://publications.waset.org/abstracts/54265/analytical-solutions-for-corotational-maxwell-model-fluid-arising-in-wire-coating-inside-a-canonical-die" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/54265.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">336</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7599</span> Analysis of an Error Estimate for the Asymptotic Solution of the Heat Conduction Problem in a Dilated Pipe</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=E.%20Maru%C5%A1i%C4%87-Paloka">E. Marušić-Paloka</a>, <a href="https://publications.waset.org/abstracts/search?q=I.%20Pa%C5%BEanin"> I. Pažanin</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Pr%C5%A1a"> M. Prša</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Subject of this study is the stationary heat conduction problem through a pipe filled with incompressible viscous fluid. In previous work, we observed the existence and uniqueness theorems for the corresponding boundary-value problem and within we have taken into account the effects of the pipe's dilatation due to the temperature of the fluid inside of the pipe. The main difficulty comes from the fact that flow domain changes depending on the solution of the observed heat equation leading to a non-standard coupled governing problem. The goal of this work is to find solution estimate since the exact solution of the studied problem is not possible to determine. We use an asymptotic expansion in order of a small parameter which is presented as a heat expansion coefficient of the pipe's material. Furthermore, an error estimate is provided for the mentioned asymptotic approximation of the solution for inner area of the pipe. Close to the boundary, problem becomes more complex so different approaches are observed, mainly Theory of Perturbations and Separations of Variables. In view of that, error estimate for the whole approximation will be provided with additional software simulations of gotten situation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=asymptotic%20analysis" title="asymptotic analysis">asymptotic analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=dilated%20pipe" title=" dilated pipe"> dilated pipe</a>, <a href="https://publications.waset.org/abstracts/search?q=error%20estimate" title=" error estimate"> error estimate</a>, <a href="https://publications.waset.org/abstracts/search?q=heat%20conduction" title=" heat conduction"> heat conduction</a> </p> <a href="https://publications.waset.org/abstracts/77208/analysis-of-an-error-estimate-for-the-asymptotic-solution-of-the-heat-conduction-problem-in-a-dilated-pipe" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/77208.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">235</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7598</span> Reform of the Law Relating to Personal Property Security</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ji%20Lian%20Yap">Ji Lian Yap</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper will critically consider developments in 2014 in relation to the law relating to security over personal property in Hong Kong. The rules governing the registration of charges under the Hong Kong Companies Ordinance will be examined. Case law relating to personal property security will also be discussed. The transplantation of the floating charge into China’s Property Law will also be considered. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=personal%20property" title="personal property">personal property</a>, <a href="https://publications.waset.org/abstracts/search?q=security%20law" title=" security law"> security law</a>, <a href="https://publications.waset.org/abstracts/search?q=reform%20of%20the%20law" title=" reform of the law"> reform of the law</a>, <a href="https://publications.waset.org/abstracts/search?q=law" title=" law"> law</a> </p> <a href="https://publications.waset.org/abstracts/19040/reform-of-the-law-relating-to-personal-property-security" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/19040.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">425</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7597</span> Asymptotic Expansion of Double Oscillatory Integrals: Contribution of Non Stationary Critical Points of the Second Kind</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Abdallah%20Benaissa">Abdallah Benaissa</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we consider the problem of asymptotics of double oscillatory integrals in the case of critical points of the second kind, the order of contact between the boundary and a level curve of the phase being even, the situation when the order of contact is odd will be studied in other occasions. Complete asymptotic expansions will be derived and the coefficient of the leading term will be computed in terms of the original data of the problem. A multitude of people have studied this problem using a variety of methods, but only in a special case when the order of contact is minimal: the more cited papers are a paper of Jones and Kline and an other one of Chako. These integrals are encountered in many areas of science, especially in problems of diffraction of optics. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=asymptotic%20expansion" title="asymptotic expansion">asymptotic expansion</a>, <a href="https://publications.waset.org/abstracts/search?q=double%20oscillatory%20integral" title=" double oscillatory integral"> double oscillatory integral</a>, <a href="https://publications.waset.org/abstracts/search?q=critical%20point%20of%20the%20second%20kind" title=" critical point of the second kind"> critical point of the second kind</a>, <a href="https://publications.waset.org/abstracts/search?q=optics%20diffraction" title=" optics diffraction"> optics diffraction</a> </p> <a href="https://publications.waset.org/abstracts/41450/asymptotic-expansion-of-double-oscillatory-integrals-contribution-of-non-stationary-critical-points-of-the-second-kind" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/41450.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">350</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7596</span> Asymptotic Spectral Theory for Nonlinear Random Fields</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Karima%20Kimouche">Karima Kimouche</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we consider the asymptotic problems in spectral analysis of stationary causal random fields. We impose conditions only involving (conditional) moments, which are easily verifiable for a variety of nonlinear random fields. Limiting distributions of periodograms and smoothed periodogram spectral density estimates are obtained and applications to the spectral domain bootstrap are given. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=spatial%20nonlinear%20processes" title="spatial nonlinear processes">spatial nonlinear processes</a>, <a href="https://publications.waset.org/abstracts/search?q=spectral%20estimators" title=" spectral estimators"> spectral estimators</a>, <a href="https://publications.waset.org/abstracts/search?q=GMC%20condition" title=" GMC condition"> GMC condition</a>, <a href="https://publications.waset.org/abstracts/search?q=bootstrap%20method" title=" bootstrap method"> bootstrap method</a> </p> <a href="https://publications.waset.org/abstracts/12479/asymptotic-spectral-theory-for-nonlinear-random-fields" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/12479.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">451</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7595</span> A Conceptual Framework of Strategies for Managing Intellectual Property Rights at Different Stages of Product Life Cycle</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Nithyananda%20K.%20V.">Nithyananda K. V. </a> </p> <p class="card-text"><strong>Abstract:</strong></p> Organizations follow various strategies for managing their intellectual property rights, either in the form of securing IP rights or using such IP rights through leveraging, monetizing, and commercializing them. It is well known that organizations adopt different intellectual property strategies in response to other organizations within the industry. But within an organization, and within the products that are being manufactured and sold by it, the strategies for managing its intellectual property rights keep changing at different stages of the product life cycle. Organizations could adopt not only different strategies for managing its intellectual property rights, but could also adopt different kinds of business models to leverage, monetize, and commercial the IP rights. This paper analyzes the various strategies that can be adopted by organizations to manage its IP rights at different stages of the product life cycle and the rationale for adopting such strategies. This would be a secondary research, based solely on the literature of strategic management, new product development, resource-based management, and the intellectual property management. This paper synthesizes the literature from these streams to propose a conceptual framework of strategies that can be adopted by organizations for managing its IP rights in conjunction with the life cycle of the products that it manufactures and sells in the market. This framework could be adopted by organizations in implementing strategies for effectively managing their IP rights. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=intellectual%20property%20strategy" title="intellectual property strategy">intellectual property strategy</a>, <a href="https://publications.waset.org/abstracts/search?q=management%20of%20intellectual%20property%20rights" title=" management of intellectual property rights"> management of intellectual property rights</a>, <a href="https://publications.waset.org/abstracts/search?q=New%20product%20development" title=" New product development"> New product development</a>, <a href="https://publications.waset.org/abstracts/search?q=product%20life%20cycle" title=" product life cycle"> product life cycle</a> </p> <a href="https://publications.waset.org/abstracts/87061/a-conceptual-framework-of-strategies-for-managing-intellectual-property-rights-at-different-stages-of-product-life-cycle" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/87061.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">296</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7594</span> On Constructing a Cubically Convergent Numerical Method for Multiple Roots</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Young%20Hee%20Geum">Young Hee Geum</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We propose the numerical method defined by xn+1 = xn − λ[f(xn − μh(xn))/]f'(xn) , n ∈ N, and determine the control parameter λ and μ to converge cubically. In addition, we derive the asymptotic error constant. Applying this proposed scheme to various test functions, numerical results show a good agreement with the theory analyzed in this paper and are proven using Mathematica with its high-precision computability. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=asymptotic%20error%20constant" title="asymptotic error constant">asymptotic error constant</a>, <a href="https://publications.waset.org/abstracts/search?q=iterative%20method" title=" iterative method"> iterative method</a>, <a href="https://publications.waset.org/abstracts/search?q=multiple%20root" title=" multiple root"> multiple root</a>, <a href="https://publications.waset.org/abstracts/search?q=root-finding" title=" root-finding"> root-finding</a> </p> <a href="https://publications.waset.org/abstracts/4187/on-constructing-a-cubically-convergent-numerical-method-for-multiple-roots" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/4187.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">220</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7593</span> Examining the Relationship Between Traditional Property Rights and Online Intellectual Property Rights in the Digital Age</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Luljeta%20Plakolli-Kasumi">Luljeta Plakolli-Kasumi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the digital age, the relationship between traditional property rights and online intellectual property rights is becoming increasingly complex. On the one hand, the internet and advancements in technology have allowed for the widespread distribution and use of digital content, making it easier for individuals and businesses to access and share information. On the other hand, the rise of digital piracy and illegal file-sharing has led to increased concerns about the protection of intellectual property rights. This paper aims to examine the relationship between traditional property rights and online intellectual property rights in the digital age by analyzing the current legal frameworks, key challenges and controversies that arise, and potential solutions for addressing these issues. The paper will look at how traditional property rights concepts such as ownership and possession are being applied in the online context and how they intersect with new and evolving forms of intellectual property such as digital downloads, streaming services, and online content creation. It will also discuss the tension between the need for strong intellectual property protection to encourage creativity and innovation and the public interest in promoting access to information and knowledge. Ultimately, the paper will explore how the legal system can adapt to better balance the interests of property owners, creators, and users in the digital age. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=intellectual%20property" title="intellectual property">intellectual property</a>, <a href="https://publications.waset.org/abstracts/search?q=traditional%20property" title=" traditional property"> traditional property</a>, <a href="https://publications.waset.org/abstracts/search?q=digital%20age" title=" digital age"> digital age</a>, <a href="https://publications.waset.org/abstracts/search?q=digital%20content" title=" digital content"> digital content</a> </p> <a href="https://publications.waset.org/abstracts/161600/examining-the-relationship-between-traditional-property-rights-and-online-intellectual-property-rights-in-the-digital-age" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/161600.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">90</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7592</span> Approximation Property Pass to Free Product</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Kankeyanathan%20Kannan">Kankeyanathan Kannan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> On approximation properties of group C* algebras is everywhere; it is powerful, important, backbone of countless breakthroughs. For a discrete group G, let A(G) denote its Fourier algebra, and let M₀A(G) denote the space of completely bounded Fourier multipliers on G. An approximate identity on G is a sequence (Φn) of finitely supported functions such that (Φn) uniformly converge to constant function 1 In this paper we prove that approximation property pass to free product. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=approximation%20property" title="approximation property">approximation property</a>, <a href="https://publications.waset.org/abstracts/search?q=weakly%20amenable" title=" weakly amenable"> weakly amenable</a>, <a href="https://publications.waset.org/abstracts/search?q=strong%20invariant%20approximation%20property" title=" strong invariant approximation property"> strong invariant approximation property</a>, <a href="https://publications.waset.org/abstracts/search?q=invariant%20approximation%20property" title=" invariant approximation property"> invariant approximation property</a> </p> <a href="https://publications.waset.org/abstracts/44414/approximation-property-pass-to-free-product" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/44414.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">675</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7591</span> Morphological and Property Rights Control of Plot Pattern in Urban Regeneration: Case Inspiration from Germany and the United States</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Nan%20Wu">Nan Wu</a>, <a href="https://publications.waset.org/abstracts/search?q=Peng%20Liu"> Peng Liu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> As a morphological element reflecting the land property rights structure, the plot pattern plays a crucial role in shaping the form and quality of the built environment. Therefore, it is one of the core control elements of urban regeneration. As China's urban development mode is shifting from growth-based development to urban regeneration, it is urgent to explore a more refined way for the planning control of the plot pattern, which further promotes the optimization of urban form and land property structure. European and American countries such as Germany and the United States began to deal with the planning control of plot patterns in urban regeneration earlier and established relatively mature methods and mechanisms. Therefore, this paper summarizes two typical scenarios of plot pattern regeneration in old cities in China: the first one is "limited scale plot pattern rezoning", which mainly deals with the regeneration scenario of tearing down the old and building the new, and the focus of its control is to establish an adaptive plot pattern rezoning methodology and mechanism; The second is "localized parcel regeneration under the existing property rights," which mainly deals with the renewal scenario of alteration and addition, and its control focuses on the establishment of control rules for individual plot regeneration. For the two typical plot pattern regeneration scenarios, Germany (Berlin) and the United States (New York) are selected as two international cases with reference significance, and the framework of plot pattern form and property rights control elements of urban regeneration is established from four latitudes, namely, the overall operation mode, form control methods, property rights control methods, and effective implementation prerequisites, so as to compare and analyze the plot pattern control methods of the two countries under different land systems and regeneration backgrounds. Among them, the German construction planning system has formed a more complete technical methodology for block-scale rezoning, and together with the overall urban design, it has created a practical example in the critical redevelopment of the inner city of Berlin. In the United States (New York), the zoning method establishes fine zoning regulations and rules for adjusting development rights based on the morphological indicators plots so as to realize effective control over the regeneration of local plots under the existing property rights pattern. On the basis of summarizing the international experience, we put forward the proposal of plot pattern and property rights control for the organic regeneration of old cities in China. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=plot%20pattern" title="plot pattern">plot pattern</a>, <a href="https://publications.waset.org/abstracts/search?q=urban%20regeneration" title=" urban regeneration"> urban regeneration</a>, <a href="https://publications.waset.org/abstracts/search?q=urban%20morphology" title=" urban morphology"> urban morphology</a>, <a href="https://publications.waset.org/abstracts/search?q=property%20rights" title=" property rights"> property rights</a>, <a href="https://publications.waset.org/abstracts/search?q=regulatory%20planning" title=" regulatory planning"> regulatory planning</a> </p> <a href="https://publications.waset.org/abstracts/185237/morphological-and-property-rights-control-of-plot-pattern-in-urban-regeneration-case-inspiration-from-germany-and-the-united-states" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/185237.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">44</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7590</span> Micromechanics Modeling of 3D Network Smart Orthotropic Structures</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=E.%20M.%20Hassan">E. M. Hassan</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20L.%20Kalamkarov"> A. L. Kalamkarov</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Two micromechanical models for 3D smart composite with embedded periodic or nearly periodic network of generally orthotropic reinforcements and actuators are developed and applied to cubic structures with unidirectional orientation of constituents. Analytical formulas for the effective piezothermoelastic coefficients are derived using the Asymptotic Homogenization Method (AHM). Finite Element Analysis (FEA) is subsequently developed and used to examine the aforementioned periodic 3D network reinforced smart structures. The deformation responses from the FE simulations are used to extract effective coefficients. The results from both techniques are compared. This work considers piezoelectric materials that respond linearly to changes in electric field, electric displacement, mechanical stress and strain and thermal effects. This combination of electric fields and thermo-mechanical response in smart composite structures is characterized by piezoelectric and thermal expansion coefficients. The problem is represented by unit-cell and the models are developed using the AHM and the FEA to determine the effective piezoelectric and thermal expansion coefficients. Each unit cell contains a number of orthotropic inclusions in the form of structural reinforcements and actuators. Using matrix representation of the coupled response of the unit cell, the effective piezoelectric and thermal expansion coefficients are calculated and compared with results of the asymptotic homogenization method. A very good agreement is shown between these two approaches. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=asymptotic%20homogenization%20method" title="asymptotic homogenization method">asymptotic homogenization method</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20element%20analysis" title=" finite element analysis"> finite element analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=effective%20piezothermoelastic%20coefficients" title=" effective piezothermoelastic coefficients"> effective piezothermoelastic coefficients</a>, <a href="https://publications.waset.org/abstracts/search?q=3D%20smart%20network%20composite%20structures" title=" 3D smart network composite structures"> 3D smart network composite structures</a> </p> <a href="https://publications.waset.org/abstracts/18190/micromechanics-modeling-of-3d-network-smart-orthotropic-structures" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/18190.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">400</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7589</span> Asymptotic Analysis of the Viscous Flow through a Pipe and the Derivation of the Darcy-Weisbach Law</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Eduard%20Marusic-Paloka">Eduard Marusic-Paloka</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The Darcy-Weisbach formula is used to compute the pressure drop of the fluid in the pipe, due to the friction against the wall. Because of its simplicity, the Darcy-Weisbach formula became widely accepted by engineers and is used for laminar as well as the turbulent flows through pipes, once the method to compute the mysterious friction coefficient was derived. Particularly in the second half of the 20th century. Formula is empiric, and our goal is to derive it from the basic conservation law, via rigorous asymptotic analysis. We consider the case of the laminar flow but with significant Reynolds number. In case of the perfectly smooth pipe, the situation is trivial, as the Navier-Stokes system can be solved explicitly via the Poiseuille formula leading to the friction coefficient in the form 64/Re. For the rough pipe, the situation is more complicated and some effects of the roughness appear in the friction coefficient. We start from the Navier-Stokes system in the pipe with periodically corrugated wall and derive an asymptotic expansion for the pressure and for the velocity. We use the homogenization techniques and the boundary layer analysis. The approximation derived by formal analysis is then justified by rigorous error estimate in the norm of the appropriate Sobolev space, using the energy formulation and classical a priori estimates for the Navier-Stokes system. Our method leads to the formula for the friction coefficient. The formula involves resolution of the appropriate boundary layer problems, namely the boundary value problems for the Stokes system in an infinite band, that needs to be done numerically. However, theoretical analysis characterising their nature can be done without solving them. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Darcy-Weisbach%20law" title="Darcy-Weisbach law">Darcy-Weisbach law</a>, <a href="https://publications.waset.org/abstracts/search?q=pipe%20flow" title=" pipe flow"> pipe flow</a>, <a href="https://publications.waset.org/abstracts/search?q=rough%20boundary" title=" rough boundary"> rough boundary</a>, <a href="https://publications.waset.org/abstracts/search?q=Navier%20law" title=" Navier law"> Navier law</a> </p> <a href="https://publications.waset.org/abstracts/84028/asymptotic-analysis-of-the-viscous-flow-through-a-pipe-and-the-derivation-of-the-darcy-weisbach-law" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/84028.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">353</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7588</span> Portfolio Optimization under a Hybrid Stochastic Volatility and Constant Elasticity of Variance Model</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jai%20Heui%20Kim">Jai Heui Kim</a>, <a href="https://publications.waset.org/abstracts/search?q=Sotheara%20Veng"> Sotheara Veng</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper studies the portfolio optimization problem for a pension fund under a hybrid model of stochastic volatility and constant elasticity of variance (CEV) using asymptotic analysis method. When the volatility component is fast mean-reverting, it is able to derive asymptotic approximations for the value function and the optimal strategy for general utility functions. Explicit solutions are given for the exponential and hyperbolic absolute risk aversion (HARA) utility functions. The study also shows that using the leading order optimal strategy results in the value function, not only up to the leading order, but also up to first order correction term. A practical strategy that does not depend on the unobservable volatility level is suggested. The result is an extension of the Merton's solution when stochastic volatility and elasticity of variance are considered simultaneously. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=asymptotic%20analysis" title="asymptotic analysis">asymptotic analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=constant%20elasticity%20of%20variance" title=" constant elasticity of variance"> constant elasticity of variance</a>, <a href="https://publications.waset.org/abstracts/search?q=portfolio%20optimization" title=" portfolio optimization"> portfolio optimization</a>, <a href="https://publications.waset.org/abstracts/search?q=stochastic%20optimal%20control" title=" stochastic optimal control"> stochastic optimal control</a>, <a href="https://publications.waset.org/abstracts/search?q=stochastic%20volatility" title=" stochastic volatility"> stochastic volatility</a> </p> <a href="https://publications.waset.org/abstracts/50103/portfolio-optimization-under-a-hybrid-stochastic-volatility-and-constant-elasticity-of-variance-model" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/50103.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">299</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7587</span> Analysis of the Secondary Stationary Flow Around an Oscillating Circular Cylinder</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Artem%20Nuriev">Artem Nuriev</a>, <a href="https://publications.waset.org/abstracts/search?q=Olga%20Zaitseva"> Olga Zaitseva</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper is devoted to the study of a viscous incompressible flow around a circular cylinder performing harmonic oscillations, especially the steady streaming phenomenon. The research methodology is based on the asymptotic explanation method combined with the computational bifurcation analysis. Present studies allow to identify several regimes of the secondary streaming with different flow structures. The results of the research are in good agreement with experimental and numerical simulation data. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=oscillating%20cylinder" title="oscillating cylinder">oscillating cylinder</a>, <a href="https://publications.waset.org/abstracts/search?q=secondary%20streaming" title=" secondary streaming"> secondary streaming</a>, <a href="https://publications.waset.org/abstracts/search?q=flow%20regimes" title=" flow regimes"> flow regimes</a>, <a href="https://publications.waset.org/abstracts/search?q=asymptotic%20and%20bifurcation%20analysis" title=" asymptotic and bifurcation analysis"> asymptotic and bifurcation analysis</a> </p> <a href="https://publications.waset.org/abstracts/15706/analysis-of-the-secondary-stationary-flow-around-an-oscillating-circular-cylinder" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/15706.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">435</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7586</span> Comparative Analysis between Thailand and the United States of a Wholesale Exemption for Vertical Restraint Regarding Intellectual Property Licensing</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Sanpetchuda%20Krutkrua">Sanpetchuda Krutkrua</a>, <a href="https://publications.waset.org/abstracts/search?q=Suphawatchara%20Malanond"> Suphawatchara Malanond</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Competition law is not a new thing in Thailand. Thailand first passed the first competition law during the Second World War in order to stop business operator monopolizing food and basic living supplies. The competition law in Thailand has been amended several times during the past eighty years in order to make it suitable for the current economic and social condition. In 2017, Thailand enacted the current Trade Competition Act of B.E. 2560, which contain several changes to the regime in order to enhance a prevention of collusive practices and monopolization through both vertical restraints and horizontal restraints. Section 56 of the Act provides exemptions for the vertical relationship; i.e., the arrangement in form of complementary relationship, between business operators, franchising agreements between franchisor and franchisee, and licensing agreement between licensor and licensee. The key is that such agreements must not be excessive, create monopolization or attempt to monopolize, or cause any impacts the consumers regarding price, quality, quantity of the goods. The goal of the paper is to explore the extent of the exemption under Section 56 and its sequential regulations regarding vertical trade restraints in the case intellectual property licensing. The research will be conducted in form of a comparative analysis on exemptions for collusive practices under the United States Antitrust law and the Thai Competition Act of B.E. 2560. The United Antitrust law, fairly similar to the Thai Competition Act of B.E. 2561, views the intellectual property licensing to have pro-competitive benefits to the market as long as the intellectual property licensing agreement does not harm the competition amongst the business operators that could have or would have been competitors. The United States Antitrust law identifies the relationship between the parties of the agreement whether such agreement is horizontal or vertical or both. Even though the nature of licensing agreements is primarily vertical, the relationship between licensor and licensees can also be horizontal if they could have been potential competitors in the market as well. The United States Antitrust law frowns upon, if not prohibits, the horizontal restraints regarding the intellectual property licensing but does not impose the same restrictions on the vertical trade restraints regarding intellectual property licensing. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=antitrust" title="antitrust">antitrust</a>, <a href="https://publications.waset.org/abstracts/search?q=competition%20law" title=" competition law"> competition law</a>, <a href="https://publications.waset.org/abstracts/search?q=vertical%20restraint" title=" vertical restraint"> vertical restraint</a>, <a href="https://publications.waset.org/abstracts/search?q=intellectual%20property" title=" intellectual property"> intellectual property</a>, <a href="https://publications.waset.org/abstracts/search?q=intellectual%20property%20licensing" title=" intellectual property licensing"> intellectual property licensing</a>, <a href="https://publications.waset.org/abstracts/search?q=comparative%20law" title=" comparative law"> comparative law</a> </p> <a href="https://publications.waset.org/abstracts/104361/comparative-analysis-between-thailand-and-the-united-states-of-a-wholesale-exemption-for-vertical-restraint-regarding-intellectual-property-licensing" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/104361.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">165</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7585</span> Resolution and Experimental Validation of the Asymptotic Model of a Viscous Laminar Supersonic Flow around a Thin Airfoil</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Eddegdag%20Nasser">Eddegdag Nasser</a>, <a href="https://publications.waset.org/abstracts/search?q=Naamane%20Azzeddine"> Naamane Azzeddine</a>, <a href="https://publications.waset.org/abstracts/search?q=Radouani%20Mohammed"> Radouani Mohammed</a>, <a href="https://publications.waset.org/abstracts/search?q=Ensam%20Meknes"> Ensam Meknes</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this study, we are interested in the asymptotic modeling of the two-dimensional stationary supersonic flow of a viscous compressible fluid around wing airfoil. The aim of this article is to solve the partial differential equations of the flow far from the leading edge and near the wall using the triple-deck technique is what brought again in precision according to the principle of least degeneration. In order to validate our theoretical model, these obtained results will be compared with the experimental results. The comparison of the results of our model with experimentation has shown that they are quantitatively acceptable compared to the obtained experimental results. The experimental study was conducted using the AF300 supersonic wind tunnel and a NACA Reduced airfoil model with two pressure Taps on extrados. In this experiment, we have considered the incident upstream supersonic Mach number over a dissymmetric NACA airfoil wing. The validation and the accuracy of the results support our model. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=supersonic" title="supersonic">supersonic</a>, <a href="https://publications.waset.org/abstracts/search?q=viscous" title=" viscous"> viscous</a>, <a href="https://publications.waset.org/abstracts/search?q=triple%20deck%20technique" title=" triple deck technique"> triple deck technique</a>, <a href="https://publications.waset.org/abstracts/search?q=asymptotic%20methods" title=" asymptotic methods"> asymptotic methods</a>, <a href="https://publications.waset.org/abstracts/search?q=AF300%20supersonic%20wind%20tunnel" title=" AF300 supersonic wind tunnel"> AF300 supersonic wind tunnel</a>, <a href="https://publications.waset.org/abstracts/search?q=reduced%20airfoil%20model" title=" reduced airfoil model"> reduced airfoil model</a> </p> <a href="https://publications.waset.org/abstracts/141179/resolution-and-experimental-validation-of-the-asymptotic-model-of-a-viscous-laminar-supersonic-flow-around-a-thin-airfoil" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/141179.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">240</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7584</span> Impact of Social Crisis on Property Market Performance and Evolving Strategy for Improved Property Transactions in Crisis Prone Environment: A Case Study of North Eastern Nigeria </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=A.%20Yakub%20AbdurRaheem">A. Yakub AbdurRaheem</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Urban violence in the form of ethnic and religious conflicts have been on the increase in many African cities in the recent years of which most of them are the result of intense and bitter competition for political power, the control of limited economic, social and environmental resources. In Nigeria, the emergence of the Boko Haram insurgency in most parts of the northeastern parts have ignited violence, bloodshed, refugee exodus and internal migration. Not only do the persistent attacks of the sect create widespread insecurity and fear, but it has also stifled normal processes of trade and investments most especially real property investment which is acclaimed to accelerate the economic cycle, thus the need to evolve strategies for an improved property market in such areas. This paper, therefore, examines the impact of this social crisis on effective and efficient utilization of real properties as a resource towards the development of the economy, using a descriptive analysis approach where particular emphasis was based on trends in residential housing values; volume of estimated property transactions and real estate investment decisions by affected individuals. Findings indicate that social crisis in the affected areas have been a clog on the wheels of property development and investment as properties worth hundreds of millions have been destroyed thereby having great impact on property values. Based on these findings, recommendations were made to include the need to strategically continue investing in property during such times, the need for Nigerian government to establish an active conflict monitoring and management unit for the prompt response, encourage community and neighborhood policing to ameliorate security challenges in Nigeria. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=social%20crisis" title="social crisis">social crisis</a>, <a href="https://publications.waset.org/abstracts/search?q=economy" title=" economy"> economy</a>, <a href="https://publications.waset.org/abstracts/search?q=resources" title=" resources"> resources</a>, <a href="https://publications.waset.org/abstracts/search?q=property%20market" title=" property market"> property market</a> </p> <a href="https://publications.waset.org/abstracts/56490/impact-of-social-crisis-on-property-market-performance-and-evolving-strategy-for-improved-property-transactions-in-crisis-prone-environment-a-case-study-of-north-eastern-nigeria" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/56490.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">237</span> </span> </div> </div> <ul class="pagination"> <li class="page-item disabled"><span class="page-link">&lsaquo;</span></li> <li class="page-item active"><span class="page-link">1</span></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=Hermitian%20form%20asymptotic%20property&page=2">2</a></li> <li class="page-item"><a class="page-link" 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