Mathematica Economics

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  mathematica economics: Mathematics and Mathematica for Economists Cliff Huang, 1997 The use of Mathematica in performing computations takes the tediousness out of solving mathematical problems. The book is self-contained, and provides the material to learn the mathematics as well as programming skills to learn the Mathematica language.
  mathematica economics: Mathematical Methods and Models for Economists Angel de la Fuente, Ángel de la Fuente, 2000-01-28 A textbook for a first-year PhD course in mathematics for economists and a reference for graduate students in economics.
  mathematica economics: How Economics Became a Mathematical Science E. Roy Weintraub, 2002-05-28 In How Economics Became a Mathematical Science E. Roy Weintraub traces the history of economics through the prism of the history of mathematics in the twentieth century. As mathematics has evolved, so has the image of mathematics, explains Weintraub, such as ideas about the standards for accepting proof, the meaning of rigor, and the nature of the mathematical enterprise itself. He also shows how economics itself has been shaped by economists’ changing images of mathematics. Whereas others have viewed economics as autonomous, Weintraub presents a different picture, one in which changes in mathematics—both within the body of knowledge that constitutes mathematics and in how it is thought of as a discipline and as a type of knowledge—have been intertwined with the evolution of economic thought. Weintraub begins his account with Cambridge University, the intellectual birthplace of modern economics, and examines specifically Alfred Marshall and the Mathematical Tripos examinations—tests in mathematics that were required of all who wished to study economics at Cambridge. He proceeds to interrogate the idea of a rigorous mathematical economics through the connections between particular mathematical economists and mathematicians in each of the decades of the first half of the twentieth century, and thus describes how the mathematical issues of formalism and axiomatization have shaped economics. Finally, How Economics Became a Mathematical Science reconstructs the career of the economist Sidney Weintraub, whose relationship to mathematics is viewed through his relationships with his mathematician brother, Hal, and his mathematician-economist son, the book’s author.
  mathematica economics: Mathematical tools for Economics and Finance with Mathematica software Giovanni Masala, 2015-06-22 Mathematica is a scientific software dedicated to symbolic and numerical calculus, developed by a team directed by Stephen Wolfram. The potential applications are extremely wide and may comprise, for example, pure and applied Mathematics, Statistics, Economics, Finance and Engineering. The first version 1.0 was published on 1988 while the current version 10.0 was released on 2014. Mathematica also permits to develop sophisticated program code thanks to its own syntax and besides, it can be used as a highly accurate text Editor. This book is a complete and up-to-date guide to Mathematica Software.Contents: Introduction, Linear Algebra, Functions of a real variable, Functions of several variables, Implicit funcions theorem, Unconstrained optimization, Constrained optimization, Ordinary differential equations and systems, Dynamic optmization, Stochastic calculus, Financial Applications, etc.
  mathematica economics: Mathematica for Microeconomics John Robert Stinespring, 2002-01-10 Accompanying CD-ROM contains ... the Mathematica programs discussed in the book and MathReader software (a viewing program from Wolfram, Inc.).--Page 4 of cover.
  mathematica economics: Methods of Mathematical Economics Joel N. Franklin, 2002-01-01 Easy-to-read classic, covering Wolfe's method and the Kuhn-Tucker theory.
  mathematica economics: Empirical Market Microstructure Joel Hasbrouck, 2007-01-04 The interactions that occur in securities markets are among the fastest, most information intensive, and most highly strategic of all economic phenomena. This book is about the institutions that have evolved to handle our trading needs, the economic forces that guide our strategies, and statistical methods of using and interpreting the vast amount of information that these markets produce. The book includes numerous exercises.
  mathematica economics: Economic and Financial Modeling with Mathematica® Hal R. Varian, 2013-11-21 Mathematica is a computer program (software) for doing symbolic, numeric and graphical analysis of mathematical problems. In the hands of economists, financial analysts and other professionals in econometrics and the quantitative sector of economic and financial modeling, it can be an invaluable tool for modeling and simulation on a large number of issues and problems, besides easily grinding out numbers, doing statistical estimations and rendering graphical plots and visuals. Mathematica enables these individuals to do all of this in a unified environment. This book's main use is that of an applications handbook. Modeling in Economics and Finance with Mathematica is a compilation of contributed papers prepared by experienced, hands on users of the Mathematica program. They come from a broad spectrum of Mathematica devotees in the econometric and financial/investment community on both the professional and academic fronts. Each paper provides a set of tools and examples of Mathematica in action. These tools will also be made accessible to users via a DOS-based floppy disk which will contain Mathematica Notebooks and Packages, and be packaged with the book.
  mathematica economics: Essentials of Mathematica Nino Boccara, 2007-10-17 Essential Mathematica: With Applications to Mathematics and Physics, based on the lecture notes of a course taught at the University of Illinois at Chicago to advanced undergrad and graduate students, teaches how to use Mathematica to solve a wide variety problems in mathematics and physics. It is illustrated with many detailed examples that require the student to construct meticulous, step-by-step, easy to read Mathematica programs. The first section, in which the reader learns how to use a variety of Mathematica commands, avoids long discussions and overly sophisticated techniques. Its aim is to provide the reader with Mathematica proficiency quickly and efficiently. The second section covers a broad range of applications in physics, engineering and applied mathematics, including Egyptian Fractions, Happy Numbers, Mersenne Numbers, Multibases, Quantum Harmonic Oscillator, Quantum Square Potential, Van der Pol Oscillator, Electrostatics, Motion of a Charged Particle inan Electromagnetic Field, Duffing Oscillator, Negative and Complex Bases, Tautochrone Curves, Kepler’s Laws, Foucault’s Pendulum, Iterated Function Systems, Public-Key Encryption, and Julia and Mandelbrot Sets. The first part - examples, not long explanations. The second part-attractive applications.
  mathematica economics: Mathematical Economics Antonio Ambrosetti, Franco Gori, Roberto Lucchetti, 2006-11-15 Contents: I. Ekeland: Some Variational Methods Arising from Mathematical Economics.- A. Mas-Colell: Four Lectures on the Differentiable Approach to General Equilibrium Theory.- J. Scheinkman: Dynamic General Equilibrium Models.- S. Zamir: Topics in Non Cooperative Game Theory.
  mathematica economics: Hands-on Start to Wolfram Mathematica Cliff Hastings, Kelvin Mischo, Michael Morrison, 2015 For more than 25 years, Mathematica has been the principal computation environment for millions of innovators, educators, students, and others around the world. This book is an introduction to Mathematica. The goal is to provide a hands-on experience introducing the breadth of Mathematica, with a focus on ease of use. Readers get detailed instruction with examples for interactive learning and end-of-chapter exercises. Each chapter also contains authors tips from their combined 50+ years of Mathematica use.
  mathematica economics: Mathematical Economics Arsen Melkumian, 2012-12-06 This textbook, designed for a single semester course, begins with basic set theory, and moves briskly through fundamental, exponential, and logarithmic functions. Limits and derivatives finish the preparation for economic applications, which are introduced in chapters on univariate functions, matrix algebra, and the constrained and unconstrained optimization of univariate and multivariate functions. The text finishes with chapters on integrals, the mathematics of finance, complex numbers, and differential and difference equations. Rich in targeted examples and explanations, Mathematical Economics offers the utility of a handbook and the thorough treatment of a text. While the typical economics text is written for two semester applications, this text is focused on the essentials. Instructors and students are given the concepts in conjunction with specific examples and their solutions.
  mathematica economics: Mathematical Statistics with Mathematica Colin Rose, Murray D. Smith, 2002 This text and software package presents a unified approach for doing mathematical statistics with Mathematica. The mathStatica software empowers the student with the ability to solve difficult problems. The professional statistician should be able to tackle tricky multivariate distributions, generating functions, inversion theorems, symbolic maximum likelihood estimation, unbiased estimation, and the checking and correcting of textbook formulae. This is the ideal companion for researchers and students in statistics, econometrics, engineering, physics, psychometrics, economics, finance, biometrics, and the social sciences. The mathStatica CD-ROM includes: mathStatica - the applications pack for mathematical statistics, custom Mathematica palettes, live interactive book that is identical to the printed text, online help, and a trial version of Mathematica 4.0.
  mathematica economics: A Workout in Computational Finance, with Website Andreas Binder, Michael Aichinger, 2013-09-23 A comprehensive introduction to various numerical methods used in computational finance today Quantitative skills are a prerequisite for anyone working in finance or beginning a career in the field, as well as risk managers. A thorough grounding in numerical methods is necessary, as is the ability to assess their quality, advantages, and limitations. This book offers a thorough introduction to each method, revealing the numerical traps that practitioners frequently fall into. Each method is referenced with practical, real-world examples in the areas of valuation, risk analysis, and calibration of specific financial instruments and models. It features a strong emphasis on robust schemes for the numerical treatment of problems within computational finance. Methods covered include PDE/PIDE using finite differences or finite elements, fast and stable solvers for sparse grid systems, stabilization and regularization techniques for inverse problems resulting from the calibration of financial models to market data, Monte Carlo and Quasi Monte Carlo techniques for simulating high dimensional systems, and local and global optimization tools to solve the minimization problem.
  mathematica economics: Mathematical Methods in Dynamic Economics A. Simonovits, 2000-06-05 This book contains a concise description of important mathematical methods of dynamics and suitable economic models. It covers discrete as well as continuous-time systems, linear and nonlinear models. Mixing traditional and modern materials, the study covers dynamics with and without optimization, naive and rational expectations, respectively. In addition to standard models of growth and cycles, the book also contains original studies on control of a multisector economy and expectations-driven multicohort economy. Numerous examples, problems (with solutions) and figures complete the book.
  mathematica economics: Mathematical Economics Kelvin Lancaster, 2012-10-10 Graduate-level text provides complete and rigorous expositions of economic models analyzed primarily from the point of view of their mathematical properties, followed by relevant mathematical reviews. Part I covers optimizing theory; Parts II and III survey static and dynamic economic models; and Part IV contains the mathematical reviews, which range fromn linear algebra to point-to-set mappings.
  mathematica economics: Mathematical Economics Gerard Debreu, 1986-10-31 Twenty papers written by the influential economic theorist Professor Gerard Debreu.
  mathematica economics: Economists' Mathematical Manual Knut Sydsaeter, Arne Strøm, Peter Berck, 2011-10-20 This volume presents mathematical formulas and theorems commonly used in economics. It offers the first grouping of this material for a specifically economist audience, and it includes formulas like Roy’s identity and Leibniz's rule.
  mathematica economics: Computational Economics David A. Kendrick, P. Ruben Mercado, Hans M. Amman, 2011-10-23 The ability to conceptualize an economic problem verbally, to formulate it as a mathematical model, and then represent the mathematics in software so that the model can be solved on a computer is a crucial skill for economists. Computational Economics contains well-known models--and some brand-new ones--designed to help students move from verbal to mathematical to computational representations in economic modeling. The authors' focus, however, is not just on solving the models, but also on developing the ability to modify them to reflect one's interest and point of view. The result is a book that enables students to be creative in developing models that are relevant to the economic problems of their times. Unlike other computational economics textbooks, this book is organized around economic topics, among them macroeconomics, microeconomics, and finance. The authors employ various software systems--including MATLAB, Mathematica, GAMS, the nonlinear programming solver in Excel, and the database systems in Access--to enable students to use the most advantageous system. The book progresses from relatively simple models to more complex ones, and includes appendices on the ins and outs of running each program. The book is intended for use by advanced undergraduates and professional economists and even, as a first exposure to computational economics, by graduate students. Organized by economic topics Progresses from simple to more complex models Includes instructions on numerous software systems Encourages customization and creativity
  mathematica economics: Mathematical Economics and Game Theory R. Henn, O. Moeschlin, 2012-12-06
  mathematica economics: Mathematica Beyond Mathematics José Guillermo Sánchez León, 2017 Covers a wide array of topics to showcase Mathematica's capabilities for not only doing mathematics but performing any task requiring calculations and visualizations; Includes coverage of the new functionality added to the program since version 8, including its natural language capabilities, curated datasets and entities, and machine learning; Features examples that strike a balance between relevance and difficulty in terms of Mathematica syntax, allowing readers to incrementally build up their Mathematica skills as they go through the chapters; Includes several files for readers to replicate the examples described in the chapters--Provided by publisher.
  mathematica economics: Basic Mathematics for Economics, Business and Finance EK Ummer, 2012-03-15 This book can help overcome the widely observed math-phobia and math-aversion among undergraduate students in these subjects. The book can also help them understand why they have to learn different mathematical techniques, how they can be applied, and how they will equip the students in their further studies. The book provides a thorough but lucid exposition of most of the mathematical techniques applied in the fields of economics, business and finance. The book deals with topics right from high school mathematics to relatively advanced areas of integral calculus covering in the middle the topics of linear algebra; differential calculus; classical optimization; linear and nonlinear programming; and game theory. Though the book directly caters to the needs of undergraduate students in economics, business and finance, graduate students in these subjects will also definitely find the book an invaluable tool as a supplementary reading. The website of the book – ww.emeacollege.ac.in/bmebf – provides supplementary materials and further readings on chapters on difference equation, differential equations, elements of Mathematica®, and graphics in Mathematica®, . It also provides materials on the applications of Mathematica®, as well as teacher and student manuals.
  mathematica economics: Mathematical Optimization and Economic Analysis Mikulás Luptácik, 2012-03-03 Mathematical Optimization and Economic Analysis is a self-contained introduction to various optimization techniques used in economic modeling and analysis such as geometric, linear, and convex programming and data envelopment analysis. Through a systematic approach, this book demonstrates the usefulness of these mathematical tools in quantitative and qualitative economic analysis. The book presents specific examples to demonstrate each technique’s advantages and applicability as well as numerous applications of these techniques to industrial economics, regulatory economics, trade policy, economic sustainability, production planning, and environmental policy. Key Features include: - A detailed presentation of both single-objective and multiobjective optimization; - An in-depth exposition of various applied optimization problems; - Implementation of optimization tools to improve the accuracy of various economic models; - Extensive resources suggested for further reading. This book is intended for graduate and postgraduate students studying quantitative economics, as well as economics researchers and applied mathematicians. Requirements include a basic knowledge of calculus and linear algebra, and a familiarity with economic modeling.
  mathematica economics: Simulating Society Richard J. Gaylord, Louis J. D'Andria, 1998-06-19 An exploration of the basis for social and economic behaviour. Using cellular automata in particular, the authors model various factors that are involved in a system of individuals who interact socially and economically with one another. Computer simulations in the social sciences provide a laboratory in which qualitative ideas about social and economic interactions can be tested. This brings a new dimension to the science, where 'explanations' abound, but are rarely subject to much experimental testing. The authors have chosen Mathematica because it has a number of features which make it uniquely qualified for use by social scientists, especially those without expertise in computer programming. Further, users can easily access and readily interact with the various 3.0 Mathematica notebooks, plus other data to be found at www.telospub.com.
  mathematica economics: Programming with Mathematica® Paul Wellin, 2013-01-10 This practical, example-driven introduction teaches the foundations of the Mathematica language so it can be applied to solving concrete problems.
  mathematica economics: Mathematics for Economics Michael Hoy, 2001 THIS EDITION IS NOT AVAILABLE IN THE US OR CANADA. International Student Paperback Edition. Customers in the US and Canada must order the cloth edition of this title.
  mathematica economics: Mathematica in Action Stan Wagon, S. Wagon, 1999 Mathematica in Action, 2nd Edition, is designed both as a guide to the extraordinary capabilities of Mathematica as well as a detailed tour of modern mathematics by one of its leading expositors, Stan Wagon. Ideal for teachers, researchers, mathematica enthusiasts. This second edition of the highly sucessful W.H. Freeman version includes an 8 page full color insert and 50% new material all organized around Elementary Topics, Intermediate Applications, and Advanced Projects. In addition, the book uses Mathematica 3.0 throughtout. Mathematica 3.0 notebooks with all the programs and examples discussed in the book are available on the TELOS web site (www.telospub.com). These notebooks contain materials suitable for DOS, Windows, Macintosh and Unix computers. Stan Wagon is well-known in the mathematics (and Mathematica) community as Associate Editor of the American Mathematical Monthly, a columnist for the Mathematical Intelligencer and Mathematica in Education and Research, author of The Banach-Tarski Paradox and Unsolved Problems in Elementary Geometry and Number Theory (with Victor Klee), as well as winner of the 1987 Lester R. Ford Award for Expository Writing.
  mathematica economics: Mathematical Models in Economics - Volume I Wei-Bin Zhang, 2009-06-10 Mathematical Models in Economics is a component of Encyclopedia of Mathematical Sciences in which is part of the global Encyclopedia of Life Support Systems (EOLSS), an integrated compendium of twenty one Encyclopedias. This theme is organized into several different topics and introduces the applications of mathematics to economics. Mathematical economics has experienced rapid growth, generating many new academic fields associated with the development of mathematical theory and computer. Mathematics is the backbone of modern economics. It plays a basic role in creating ideas, constructing new theories, and empirically testing ideas and theories. Mathematics is now an integral part of economics. The main advances in modern economics are characterized by applying mathematics to various economic problems. Many of today's profound insights into economic problems could hardly be obtained without the help of mathematics. The concepts of equilibrium versus non-equilibrium, stability versus instability, and steady states versus chaos in the contemporary literature are difficult to explain without mathematics. The theme discusses on modern versions of some classical economic theories, taking account of balancing between significance of economic issues and mathematical techniques. These two volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.
  mathematica economics: Mathematica®: A Problem-Centered Approach Roozbeh Hazrat, 2016-01-04 This textbook introduces the vast array of features and powerful mathematical functions of Mathematica using a multitude of clearly presented examples and worked-out problems. Each section starts with a description of a new topic and some basic examples. The author then demonstrates the use of new commands through three categories of problems - the first category highlights those essential parts of the text that demonstrate the use of new commands in Mathematica whilst solving each problem presented; - the second comprises problems that further demonstrate the use of commands previously introduced to tackle different situations; and - the third presents more challenging problems for further study. The intention is to enable the reader to learn from the codes, thus avoiding long and exhausting explanations. While based on a computer algebra course taught to undergraduate students of mathematics, science, engineering and finance, the book also includes chapters on calculus and solving equations, and graphics, thus covering all the basic topics in Mathematica. With its strong focus upon programming and problem solving, and an emphasis on using numerical problems that do not need any particular background in mathematics, this book is also ideal for self-study and as an introduction to researchers who wish to use Mathematica as a computational tool. This new edition has been extensively revised and updated, and includes new chapters with problems and worked examples.
  mathematica economics: Stratospheric Ozone Depletion United States. Congress. Senate. Committee on Aeronautical and Space Sciences. Subcommittee on the Upper Atmosphere, 1975
  mathematica economics: Technology Utilization United States. Congress. Senate. Committee on Aeronautical and Space Sciences. Subcommittee on Aerospace Technology and National Needs, 1975
  mathematica economics: Mathematical Methods and Theory in Games, Programming, and Economics Samuel Karlin, 1959
  mathematica economics: The Mathematica Handbook Martha L Abell, James P. Braselton, 2014-05-09 The Mathematica Handbook provides all the Mathematica commands and objects along with typical examples of them. This handbook is intended as a reference of all built-in Mathematica Version 2.0 objects to both beginning and advanced users of Mathematica. The book contains commands and examples of those commands found in the packages of Mathematica, a system for doing mathematics on a computer. The Preface describes how to use the entries of The Handbook and then briefly discusses elementary rules of Mathematica syntax, defining functions, and using commands that are contained in the standard Mathematica packages. Subsequent chapters provide commands for calculations in Calculus, Statistics, and Numerical Math. The commands in these sections are listed within each package, and the packages are listed alphabetically within each folder (or directory) as well. The book will be of use to engineers, computer scientists, physical scientists, mathematicians, business professionals, and students.
  mathematica economics: Mathematical Software – ICMS 2018 James H. Davenport, Manuel Kauers, George Labahn, Josef Urban, 2018-07-17 This book constitutes the proceedings of the 6th International Conference on Mathematical Software, ICMS 2018, held in South Bend, IN, USA, in July 2018.The 59 papers included in this volume were carefully reviewed and selected from numerous submissions. The program of the 2018 meeting consisted of 20 topical sessions, each of which providing an overview of the challenges, achievements and progress in a subeld of mathematical software research, development and use.
  mathematica economics: How Economics Became a Mathematical Science E. Roy Weintraub, 2002-05-28 DIVDiscusses the history of 20th century economics, and how it has become dominated by mathematical approaches./div
  mathematica economics: Borderlands of Economics Nahid Aslanbeigui, Young B. Choi, 2005-06-23 In recent years there has been increasing discontent with the abstract nature of mainstream economics. The book explores the ways in which economics might be reconnected, both with the real world and with other disciplines.
  mathematica economics: Mathematical Analysis and Optimization for Economists Michael J. Panik, 2021-09-30 In Mathematical Analysis and Optimization for Economists, the author aims to introduce students of economics to the power and versatility of traditional as well as contemporary methodologies in mathematics and optimization theory; and, illustrates how these techniques can be applied in solving microeconomic problems. This book combines the areas of intermediate to advanced mathematics, optimization, and microeconomic decision making, and is suitable for advanced undergraduates and first-year graduate students. This text is highly readable, with all concepts fully defined, and contains numerous detailed example problems in both mathematics and microeconomic applications. Each section contains some standard, as well as more thoughtful and challenging, exercises. Solutions can be downloaded from the CRC Press website. All solutions are detailed and complete. Features Contains a whole spectrum of modern applicable mathematical techniques, many of which are not found in other books of this type. Comprehensive and contains numerous and detailed example problems in both mathematics and economic analysis. Suitable for economists and economics students with only a minimal mathematical background. Classroom-tested over the years when the author was actively teaching at the University of Hartford. Serves as a beginner text in optimization for applied mathematics students. Accompanied by several electronic chapters on linear algebra and matrix theory, nonsmooth optimization, economic efficiency, and distance functions available for free on www.routledge.com/9780367759018.
  mathematica economics: Economic Dynamics Ronald Shone, 2002-11-28 This is the substantially revised and restructured second edition of Ron Shone's successful advanced textbook Economic Dynamics. The book provides detailed coverage of dynamics and phase diagrams, including: quantitative and qualitative dynamic systems, continuous and discrete dynamics, linear and non-linear systems and single equation and systems of equations. It illustrates dynamic systems using Mathematica, Maple V and spreadsheets. It provides a thorough introduction to phase diagrams and their economic application and explains the nature of saddle path solutions. The second edition contains a new chapter on oligopoly and an extended treatment of stability of discrete dynamic systems and the solving of first-order difference equations. Detailed routines on the use of Mathematica and Maple are now contained in the body of the text, which now includes advice on the use of Excel and additional examples and exercises throughout. Supporting website contains solutions manual and learning tools.
  mathematica economics: Computable Foundations for Economics K. Vela Velupillai, 2012-07-26 Computable Foundations for Economics is a unified collection of essays, some of which are published here for the first time and all of which have been updated for this book, on an approach to economic theory from the point of view of algorithmic mathematics. By algorithmic mathematics the author means computability theory and constructive mathematics. This is in contrast to orthodox mathematical economics and game theory, which are formalised with the mathematics of real analysis, underpinned by what is called the ZFC formalism, i.e., set theory with the axiom of choice. This reliance on ordinary real analysis and the ZFC system makes economic theory in its current mathematical mode completely non-algorithmic, which means it is numerically meaningless. The book provides a systematic attempt to dissect and expose the non-algorithmic content of orthodox mathematical economics and game theory and suggests a reformalization on the basis of a strictly rigorous algorithmic mathematics. This removes the current schizophrenia in mathematical economics and game theory, where theory is entirely divorced from algorithmic applicability – for experimental and computational exercises. The chapters demonstrate the uncomputability and non-constructivity of core areas of general equilibrium theory, game theory and recursive macroeconomics. The book also provides a fresh look at the kind of behavioural economics that lies behind Herbert Simon’s work, and resurrects a role for the noble classical traditions of induction and verification, viewed and formalised, now, algorithmically. It will therefore be of particular interest to postgraduate students and researchers in algorithmic economics, game theory and classical behavioural economics.
  mathematica economics: Nonlinear Physics with Mathematica for Scientists and Engineers Richard H. Enns, George C. McGuire, 2012-12-06 Nonlinear physics continues to be an area of dynamic modern research, with applications to physics, engineering, chemistry, mathematics, computer science, biology, medicine and economics. In this text extensive use is made of the Mathematica computer algebra system. No prior knowledge of Mathematica or programming is assumed. This book includes 33 experimental activities that are designed to deepen and broaden the reader's understanding of nonlinear physics. These activities are correlated with Part I, the theoretical framework of the text.
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