Equation parameters

Statistical procedures of estimation and inference are most frequently justified in econometric work on the basis of certain desirable asymptotic properties. One estimation procedure may, for example, be selected over another because it is known to provide consistent and asymptotically efficient parameter estimates under certain stochastic environments.
68p phuonghoangnho 23042010 184 22 Download

Knowledge of thermodynamic data of copolymer solutions is a necessity for industrial and laboratory processes. Furthermore, such data serve as essential tools for understanding the physical behavior of copolymer solutions, for studying intermolecular interactions, and for gaining insights into the molecular nature of mixtures. They also provide the necessary basis for any developments of theoretical thermodynamic models. Scientists and engineers in academic and industrial research need such data and will benefit from a careful collection of existing data.
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standard tridiagonal algorithm. Given un , one solves (19.5.36) for un+1/2 , substitutes on the righthand side of (19.5.37), and then solves for un+1 . The key question is how to choose the iteration parameter r
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As Carlo (2001) comments in a recent review, “research on crosslanguage transfer has made some progress with regard to the issue of identifying particular skills that appear susceptible to transfer from first to secondlanguage reading. However, questions remain concerning the specification of the cognitive mechanisms responsible for transfer as well as the developmental parameters that constrain transfer effects.
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This work is intended to survey the basic theory that underlies the multitude of parameterrich models that dominate the hydrological literature today. It is concerned with the application of the equation of continuity (which is the fundamental theorem of hydrology) in its complete form combined with a simplified representation of the principle of conservation of momentum. Since the equation of continuity can be expressed in linear form by a suitable choice of state variables and is also parameterfree, it can be readily formulated at all scales of interest.
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For the complex parabolic GinzburgLandau equation, we prove that, asymptotically, vorticity evolves according to motion by mean curvature in Brakke’s weak formulation. The only assumption is a natural energy bound on the initial data. In some cases, we also prove convergence to enhanced motion in the sense of Ilmanen. Introduction In this paper we study the asymptotic analysis, as the parameter ε goes to zero, of the complexvalued parabolic GinzburgLandau equation for functions uε :
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INTRODUCTION Part I discussed the basics of industrial servo drives from a hardware point of view. Physical parameters and practical applications were discussed. Part II repeats some of the things in Part I but from a mathematical point of view. The advanced application of industrial servo drives requires the use of differential equations to describe mechanical, electrical, and ﬂuid systems. As applied to servo drives there are numerous academic techniques to analyze these systems (e.g., root locus, Nyquist diagrams, etc.).
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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article A Parameter Robust Method for Singularly Perturbed Delay Differential Equations Fevzi Erdogan
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Tuyển tập các báo cáo nghiên cứu về sinh học được đăng trên tạp chí sinh học Journal of Biology đề tài: Research Article On an Inverse Scattering Problem for a Discontinuous SturmLiouville Equation with a Spectral Parameter in the Boundary Condition
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RATE OF CONVERGENCE OF SOLUTIONS OF RATIONAL DIFFERENCE EQUATION OF SECOND ORDER ˇ ´ ´ S. KALABUSIC AND M. R. S. KULENOVIC Received 13 August 2003 and in revised form 7 October 2003 We investigate the rate of convergence of solutions of some special cases of the equation xn+1 = (α + βxn + γxn−1 )/(A + Bxn + Cxn−1 ), n = 0,1,..., with positive parameters and nonnegative initial conditions. We give precise results about the rate of convergence of the solutions that converge to the equilibrium or periodtwo solution by using Poincar´ ’s e theorem and an improvement of Perron’s...
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OF INVARIANT FIBER BUNDLES FOR DYNAMIC EQUATIONS ON MEASURE CHAINS ¨ CHRISTIAN POTZSCHE AND STEFAN SIEGMUND Received 8 August 2003 m SMOOTHNESS We present a new selfcontained and rigorous proof of the smoothness of invariant ﬁber bundles for dynamic equations on measure chains or time scales. Here, an invariant ﬁber bundle is the generalization of an invariant manifold to the nonautonomous case.
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POWER SERIES TECHNIQUES FOR A SPECIAL SCHRÖDINGER OPERATOR AND RELATED DIFFERENCE EQUATIONS MORITZ SIMON AND ANDREAS RUFFING Received 27 July 2004 and in revised form 16 February 2005 We address ﬁnding solutions y ∈ 2 (R+ ) of the special (linear) ordinary diﬀerential equation xy (x) + (ax2 + b)y (x) + (cx + d)y(x) = 0 for all x ∈ R+ , where a,b,c,d ∈ R are constant parameters. This will be achieved in three special cases via separation and a power series method which is speciﬁed using diﬀerence equation techniques.
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ONE PARAMETER FAMILY OF LINEAR DIFFERENCE EQUATIONS AND THE STABILITY PROBLEM FOR THE NUMERICAL SOLUTION OF ODEs L. ACETO, R. PANDOLFI, AND D. TRIGIANTE Received 21 July 2004; Accepted 4 October 2004 The study of the stability properties of numerical methods leads to considering linear difference equations depending on a complex parameter q. Essentially, the associated characteristic polynomial must have constant type for q ∈ C− . Usually such request is proved with the help of computers.
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Discussion of nanotechnology can quickly become complex as a full analysis involves advanced chemistry, biology, physics, computer science, and engineering. The properties of nanoscale materials are governed by laws of quantum physics, causing materials to display properties and characteristics that would be considered by the laws of classic Newtonian physics. It is these intermolecular forces which cause nanotechnology to be both a vexing research problem, and yet have enormous potential.
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The theory of oneparameter semigroups of linear operators on Banach spaces started in the first half of this century, acquired its core in 1948 with the Hille–Yosida generation theorem, and attained its first apex with the 1957 edition of Semigroups and Functional Analysis by E. Hille and R.S. Phillips. In the 1970s and 80s, thanks to the efforts of many different schools, the theory reached a certain state of perfection, which is well represented in the monographs by E.B. Davies [Dav80], J.A. Goldstein [Gol85], A. Pazy [Paz83], and others.
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Solving the system of equations describing the stationary operation of a twomode random microlaser we have found the transformation of saturated values of mode intensity when laser parameters as gain and loss coefficients as well as field coupling, photon hopping coefficients vary. From obtained results we determined which parameter takes the most important role for stationary operation of random microlasers.
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The problem about periodic solutions for the family of linear differential equation $$ L u\equiv \left(\frac{\partial}{i\partial t}  a\Delta \right)u(x,t)=\nu G(uf)$$ is considered on the multidimensional sphere $x \in S^n$ under the periodicity condition $u_{t=0}=u_{t=b}$ and $\int_{S^n}u(x,t)dx=0.$ Here $a$ is given real, $\nu$ is a fixed complex number, $ G u(x,t) $ is a linear integral operator, and $\Delta$ is the Laplace operator on $S^n.
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EES is particularly useful for design problems in which the effects of one or more parameters need to be determined. The program provides this capability with its Parametric Table, which is similar to a spreadsheet. The user identifies the variables that are independent by entering their values in the table cells. EES will calculate the values of the dependent variables in the table. The relationship of the variables in the table can then be in publicationquality plots.
249p nguyenkimluong 26052014 31 6 Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Critical parameter equations for degenerate parabolic equations coupled via nonlinear boundary flux
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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Multiple Positive Solutions for Nonlinear FirstOrder Impulsive Dynamic Equations on Time Scales with Parameter
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