Equation modeling

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  • Lecture "Advanced Econometrics (Part II) - Chapter 12: Simultaneous equations models" presentation of content: Model, rank and order conditions for identification, estimation of a simultaneous equation system.

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  • The goal of this book is to expose the reader to modern computational tools for solving differential equation models that arise in chemical engineering, e.g., diffusion-reaction, mass-heat transfer, and fluid flow. The emphasis is placed on the understanding and proper use of software packages. In each chapter we outline numerical techniques that either illustrate a computational property of interest or are the underlying methods of a computer package. At the close of each chapter a survey of computer packages is accompanied by examples of their use....

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  • Tuyển tập các báo cáo nghiên cứu về sinh học được đăng trên tạp chí sinh học quốc tế đề tài: Inferring causal phenotype networks using structural equation models

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  • In this chapter, you will learn how to: Compare and contrast single equation and systems-based approaches to building models; discuss the cause, consequence and solution to simultaneous equations bias; derive the reduced form equations from a structural model; describe several methods for estimating simultaneous equations models; explain the relative advantages and disadvantages of VAR modelling;...

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  • (BQ) Part 1 book "A first course in differential equations" has contents: Introduction to differential equations, first order differential equations, modeling with first order differential equations, higher order differential equations.

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  • (BQ) Part 2 book "A first course in differential equations" has contents: Modeling with higher order differential equations, modeling with higher order differential equations, the laplace transform, systems of linear first order differential equations, numerical solutions of ordinary differential equations.

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  • This book will teach you how to bring together what you know of finance, accounting, and the spreadsheet to give you a new skill—building financial models. The ability to create and unde stand models is one of the most valued skills in business an finance today. It’s an expertise that will stand you in good stea in any arena—Wall Street or Main Street—where numbers ar important. Whether you are a veteran, just starting out on you career, or still in school, having this expertise can give you competitive advantage in what you want to do....

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  • This is a survey of non-linear regression models, with an emphasis on the theory of estimation and hypothesis testing rather than computation and applications, although there will be some discussion of the last two topics. For a general discussion of computation the reader is referred to Chapter 12 of this Handbook by Quandt. My aim is to present the gist of major results; therefore, I will sometimes omit proofs and less significant assumptions. For those, the reader must consult the original sources....

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  • 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.

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  • It is intended that this book be suitable for a variety of engineers and ecologists, who may wish to gain an introduction to the rapidly growing field of ecological and environmental modelling. An understanding of the fundamentals of environmental problems and ecology, as presented for instance in the textbook Principles of Environmental Science and Technology is assumed. Furthermore, it is assumed that the reader has either a fundamental knowledge of differential equations and matrix calculations or has read the Appendix, which gives a brief introduction to these topics....

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  • This Second Edition of the go-to reference combines the classical analysis and modern applications of applied mathematics for chemical engineers. The book introduces traditional techniques for solving ordinary differential equations (ODEs), adding new material on approximate solution methods such as perturbation techniques and elementary numerical solutions. It also includes analytical methods to deal with important classes of finite-difference equations. The last half discusses numerical solution techniques and partial differential equations (PDEs). The read...

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  • This book was conceived as a result of many years research with students and postdocs in molecular simulation, and shaped over several courses on the subject given at the University of Groningen, the Eidgen¨ossische Technische Hochschule (ETH) in Z¨urich, the University of Cambridge, UK, the University of Rome (La Sapienza), and the University of North Carolina at Chapel Hill, NC, USA.

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  • Partial differential equations (PDEs) are very important in modelling as their solutions unlock the secrets to a range of important phenomena in engineering and physics. The PDE known as the wave equation models sound waves, light waves and water waves. It arises in fields such as acoustics, electromagnetics and fluid dynamics.

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  • In addition to covering statistical methods, most of the existing books on equating also focus on the practice of equating, the implications of test development and test use for equating practice and policies, and the daily equating challenges that need to be solved. In some sense, the scope of this book is narrower than of other existing books: to view the equating and linking process as a statistical estimation task.

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  • For instance, based on the pure management fee model described above, a fund with a 1.5% management fee and fixed expenses of $600,000 would break even at $40 mil- lion in AUM. By decreasing fixed expenses by $60,000, or 10%, the fund’s breakeven AUM drops by $4 million to $36 million. Stated differently, $15,000 in fixed expenses equates to $1 million in AUM.

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  • Mathematical modelling is the process of formulating an abstract model in terms of mathematical language to describe the complex behaviour of a real system. Mathematical models are quantitative models and often expressed in terms of ordinary differential equations and partial differential equations. Mathematical models can also be statistical models, fuzzy logic models and empirical relationships. In fact, any model description using mathematical language can be called a mathematical model.

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  • Using an applications perspective Thermodynamic Models for Industrial Applications provides a unified framework for the development of various thermodynamic models, ranging from the classical models to some of the most advanced ones. Among these are the Cubic Plus Association Equation of State (CPA EoS) and the Perturbed Chain Statistical Association Fluid Theory (PC-SAFT). These two advanced models are already in widespread use in industry and academia, especially within the oil and gas, chemical and polymer industries....

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  • This paper describes a numerical model for the simulation of near shore wave dynamics  and bottom topography change. In this part, the nearshore wave dynamics is simulated by solving  the  depth  integrated  Boussinesq  approximation  equations  for  nearshore  wave  transformation  together with continuity equation with a Crank‐Nicholson scheme. The wave runup on beaches is  simulated by a scheme, similar to the Volume Of Fluid (VOF) technique.

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  • Unstructured modelling growth of Lactobacillus acidophilus as a function of the temperature: We present modelling software developed under MATLAB in which parameter estimations are obtained by using non-linear regression techniques. The different parameters appear in a set of non-linear algebraic and differential equations representing the model of the process. From experimental data obtained in discontinuous cultures a representative mathematical model (unstructured kinetic model) of the macroscopic behaviour of Lactobacillus acidophilus has been developed.

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  • The fundamental objects that we deal with in calculus are functions. This chapter prepares the way for calculus by discussing the basic ideas concerning functions, their graphs, and ways of transforming and combining them. We stress that a function can be represented in different ways: by an equation, in a table, by a graph, or in words.

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