...Linear Algebra Applied to Economics Input-Output Analysis Introduction: There are several non-mathematical subjects that linear algebra can be applicable too. Economics is a topic that linear algebra can be used to make a formal application, for example in Input-Output Analysis, econometrics, Game theory, and break-even point analysis. As a group we are going to be focusing on the Input-Output analysis, a type of analysis created for the purpose of describing and making predictions of complicated mathematical models using systems of linear equations. It was established by “W. Leontief, who won the 1973 Nobel Prize in Economics” (Hefferon, p.60). In this paper, mathematical and linear algebra formulas, calculations, graphs, diagrams, pictures, etc., will be clearly shown as to further understand the applicability of linear algebra in economics. Calculations and mathematical examples used in economics will be provided in the context of this paper for better understanding. Also, terms and notations used will be explained, derivation and origin of mathematical results will be shown. Definitions: Economics is a branch of knowledge concerned with the production, distributions, and consumption of goods and services. Linear algebra is a branch of mathematics with the properties of finite dimensional vector spaces and linear mapping between the spaces. The equations are represented using matrices and vectors and consist of several unknowns. Econometrics is branch of economics...
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...ReaseachA SAMPLE RESEARCH PAPER/THESIS/DISSERTATION ON ASPECTS OF ELEMENTARY LINEARY ALGEBRA by James Smith B.S., Southern Illinois University, 2010 A Research Paper/Thesis/Dissertation Submitted in Partial Fulfillment of the Requirements for the Master of Science Degree Department of Mathematics in the Graduate School Southern Illinois University Carbondale July, 2006 (Please replace Name and Year with your information and delete all instructions) Copyright by NAME, YEAR All Rights Reserved **(This page is optional)** RESEARCH PAPER/THESIS/DISSERTATION APPROVAL TITLE (in all caps) By (Author) A Thesis/Dissertation Submitted in Partial Fulfillment of the Requirements for the Degree of (Degree) in the field of (Major) Approved by: (Name of thesis/dissertation chair), Chair (Name of committee member 1) (Name of committee member 2) (Name of committee member 3) (Name of committee member 4) Graduate School Southern Illinois University Carbondale (Date of Approval) AN ABSTRACT OF THE DISSERTATION OF NAME OF STUDENT, for the Doctor of Philosophy degree in MAJOR FIELD, presented on DATE OF DEFENSE, at Southern Illinois University Carbondale. (Do not use abbreviations.) TITLE: A SAMPLE RESEARCH PAPER ON ASPECTS OF ELEMENTARY LINEAR ALGEBRA MAJOR PROFESSOR: Dr. J. Jones (Begin the abstract here, typewritten and double-spaced. A thesis abstract should consist of 350 words or less including the heading. A page and one-half is approximately 350 words.) ...
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...A SAMPLE RESEARCH PAPER/THESIS/DISSERTATION ON ASPECTS OF ELEMENTARY LINEARY ALGEBRA by James Smith B.S., Southern Illinois University, 2010 A Research Paper/Thesis/Dissertation Submitted in Partial Fulfillment of the Requirements for the Master of Science Degree Department of Mathematics in the Graduate School Southern Illinois University Carbondale July, 2006 (Please replace Name and Year with your information and delete all instructions) Copyright by NAME, YEAR All Rights Reserved **(This page is optional)** RESEARCH PAPER/THESIS/DISSERTATION APPROVAL TITLE (in all caps) By (Author) A Thesis/Dissertation Submitted in Partial Fulfillment of the Requirements for the Degree of (Degree) in the field of (Major) Approved by: (Name of thesis/dissertation chair), Chair (Name of committee member 1) (Name of committee member 2) (Name of committee member 3) (Name of committee member 4) Graduate School Southern Illinois University Carbondale (Date of Approval) AN ABSTRACT OF THE DISSERTATION OF NAME OF STUDENT, for the Doctor of Philosophy degree in MAJOR FIELD, presented on DATE OF DEFENSE, at Southern Illinois University Carbondale. (Do not use abbreviations.) TITLE: A SAMPLE RESEARCH PAPER ON ASPECTS OF ELEMENTARY LINEAR ALGEBRA MAJOR PROFESSOR: Dr. J. Jones (Begin the abstract here, typewritten and double-spaced. A thesis abstract should consist of 350 words or less including the heading. A page and one-half is approximately 350 words.) iii DEDICATION (NO REQUIRED FOR...
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...CARIBBEAN EXAMINATIONS COUNCIL Caribbean Secondary Education Certificate CSEC MATHEMATICS SYLLABUS Effective for examinations from May/June 2010 CXC 05/G/SYLL 08 Published in Jamaica © 2010, Caribbean Examinations Council All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form, or by any means electronic, photocopying, recording or otherwise without prior permission of the author or publisher. Correspondence related to the syllabus should be addressed to: The Pro-Registrar Caribbean Examinations Council Caenwood Centre 37 Arnold Road, Kingston 5, Jamaica, W.I. Telephone: (876) 630-5200 Facsimile Number: (876) 967-4972 E-mail address: cxcwzo@cxc.org Website: www.cxc.org Copyright © 2008, by Caribbean Examinations Council The Garrison, St Michael BB11158, Barbados CXC 05/OSYLL 00 Contents RATIONALE. .......................................................................................................................................... 1 AIMS. ....................................................................................................................................................... 1 ORGANISATION OF THE SYLLABUS. ............................................................................................. 2 FORMAT OF THE EXAMINATIONS ................................................................................................ 2 CERTIFICATION AND PROFILE DIMENSIONS .....
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...Advanced linear algebra M. Anthony, M. Harvey MT2118, 2790118 2011 Undergraduate study in Economics, Management, Finance and the Social Sciences This is an extract from a subject guide for an undergraduate course offered as part of the University of London International Programmes in Economics, Management, Finance and the Social Sciences. Materials for these programmes are developed by academics at the London School of Economics and Political Science (LSE). For more information, see: www.londoninternational.ac.uk This guide was prepared for the University of London International Programmes by: Professor M. Anthony, BSc, MA, PhD and Dr M. Harvey, BSc, MSc, PhD, Department of Mathematics, The London School of Economics and Political Science. This is one of a series of subject guides published by the University. We regret that due to pressure of work the authors are unable to enter into any correspondence relating to, or arising from, the guide. If you have any comments on this subject guide, favourable or unfavourable, please use the form at the back of this guide. University of London International Programmes Publications Office Stewart House 32 Russell Square London WC1B 5DN United Kingdom Website: www.londoninternational.ac.uk Published by: University of London © University of London 2006 Reprinted with minor revisions 2011 The University of London asserts copyright over all material in this subject guide except where otherwise indicated....
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...Algebra for the Utterly Confused This page intentionally left blank. Algebra for the Utterly Confused Larry J. Stephens McGraw-Hill New York San Francisco Washington, D.C. Auckland Bogotá Caracas Lisbon London Madrid Mexico City Milan Montreal New Delhi San Juan Singapore Sydney Tokyo Toronto Copyright © 2003 by The McGraw-Hill Companies, Inc. All rights reserved. Manufactured in the United States of America. Except as permitted under the United States Copyright Act of 1976, no part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written permission of the publisher. 0-07-143095-4 The material in this eBook also appears in the print version of this title: 0-07-135514-6 All trademarks are trademarks of their respective owners. Rather than put a trademark symbol after every occurrence of a trademarked name, we use names in an editorial fashion only, and to the benefit of the trademark owner, with no intention of infringement of the trademark. Where such designations appear in this book, they have been printed with initial caps. McGraw-Hill eBooks are available at special quantity discounts to use as premiums and sales promotions, or for use in corporate training programs. For more information, please contact George Hoare, Special Sales, at george_hoare@mcgraw-hill.com or (212) 904-4069. TERMS OF USE This is a copyrighted work and The McGraw-Hill Companies, Inc...
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...Component 01 - Computing Principles | AS-Level (H046) | A-Level (H446) | 1 The characteristics of contemporary processors, input, output and storage devices | Structure and function of the processor | The Arithmetic and Logic Unit (ALU), Control Unit and registers: Program Counter (PC), Accumulator (ACC), Memory Address Register (MAR), Memory Data Register (MDR), Current Instruction Register (CIR).Buses: data, address and control: How this relates to assembly language programs.The fetch-decode-execute cycle, including its effect on registers.The factors affecting the performance of the CPU, clock speed, number of cores, cache.Von Neumann, Harvard and contemporary processor architecture. | The use of pipelining in a processor to improve efficiency. | Types of processor | The differences between, and uses of, CISC and RISC processors.Multicore and parallel systems. | GPUs and their uses (including those not related to graphics). | Input, output and storage | How different input output and storage devices can be applied as a solution of different problems.The uses of magnetic, flash and optical storage devices.RAM and ROM.Virtual storage. | | 2 Software and software development | Operating systems | The need for, function and purpose of operating systems.Memory management (paging, segmentation and virtual memory).Interrupts, the role of interrupts and Interrupt Service Routines (ISR), role within the fetch decode execute cycle.Scheduling: round robin, first come...
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...these formulas, the area of any polygon can be found by dividing the polygon into triangles.[4] For shapes with curved boundary, calculus is usually required to compute the area. Indeed, the problem of determining the area of plane figures was a major motivation for the historical development of calculus.[5] For a solid shape such as a sphere, cone, or cylinder, the area of its boundary surface is called the surface area.[1][6] Formulas for the surface areas of simple shapes were computed by the ancient Greeks, but computing the surface area of a more complicated shape usually requires multivariable calculus. Area plays an important role in modern mathematics. In addition to its obvious importance in geometry and calculus, area is related to the definition of determinants in linear algebra, and is a...
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...ate Aptitude Test in Engineering GATE 2014 Brochure Table of Contents 1. Introduction .............................................................................................................1 2. About GATE 2014 ......................................................................................................1 2.1. Financial Assistance ............................................................................................................................ 1 2.2 Employment ............................................................................................................................................ 2 2.3 Administration ....................................................................................................................................... 2 3.1 Changes Introduced in GATE 2013 that will continue to remain in force for GATE 2014 .......................................................................................................................................................... 3 4.1 Eligibility for GATE 2014 ................................................................................................................... 4 4.2 GATE Papers ............................................................................................................................................ 5 4.3 Zone-Wise List of Cities in which GATE 2014 will be Held ................................................... 6 4.4 Zone-Wise List of Cities for 3rd...
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...Academic assistance is the defined as an activity for teaching available for students in all subjects including science, mathematics, management, business studies, business and law and information technology. In the academic assistance, all subject related helps is being provided to the students to meet specific subject related queries. It is defined as a tutoring practice, which provides support to the students in solving particular subject related queries. Apart from this, this makes the learning process easy for the students through providing ready to learn or tailor made notes and helps in solving specific subject problems. Basically, academic assistance is the new method of tutoring by a large number of institutions to facilitate the students in their studies. Academic assistance encompasses all types of subjects from English to Management. In the academic content development, a number of subjects such as business studies, marketing, accounting and financial management, operations management, qualitative techniques, history, science, statistics, dissertation and its proposal development, human resources and organizational behaviour are covered. In pertinent to the given subjects, academic assistance is a kind of help provided to the students in developing particular topic related subjects content. Academic assistance is not only limited to provide a notes specific to subjects, but also it covers a full helps in completing the project steps such as authentic data collection...
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...Studies: Knowledge is the essence of smart thinking. No matter how much raw intelligence you have, you are not going to succeed at solving complex problems without knowing a lot. That's why we spend the first 20 (or more) years of our lives in school. Robert Bjork and fellow PT blogger Nate Kornell have explored some of the study habits of college students in a 2007 paper in Psychonomic Bulletin & Review. Research on memory provides a number of important suggestions about the most effective ways to study. One of the most important tips is that students should study by testing themselves rather than just reading over the material. It is also important to study over a period of days rather waiting until the last minute to study. Kornell and Bjork's studies suggest that only about 2/3 of college students routinely quiz themselves, and a majority of students study only one time for upcoming exams. Of course, guidelines from memory research come from studies in idealized circumstances. Researchers bring participants (many of whom are college students) into a lab and ask them to learn material. Perhaps the recommendations drawn from these studies are not that helpful for real students dealing with real courses. To address this question, Marissa Hartwig and John Dunlosky related the study habits of college students to their grade point average (GPA) in a 2012 paper in Psychonomic Bulletin & Review. They asked students about a number of study...
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...these young Filipinos generally possessed adaptive patterns of attribution. They ascribed possible success to somewhat more internal rather than external sources but attributed possible failure almost equally to these factors. Luck was perceived as being only of relatively minor importance. Internal success attribution was found to correlate significantly with satisfaction with success in three out of four cases. Effort attribution correlated significantly with the students ‘ratings of how hard they had tried (Watkins and Attila,...
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...LINEAR PROGRAMING AND SIMPLEX METHOD Devharajan Rangarajan Department of Electronic Engineering National University of Ireland, Maynooth devharajan.rangarajan.2016@mumail.ie Abstract— An optimization problem consists of maximizing or minimizing a real function by systematically choosing input values from within an allowed set and computing the value of the function. This pays way to a new world of constrained optimization. This paper focuses on one such optimization technique known as Linear programming and one of its method known as Simplex method in detail with examples. cTx = c1x1 + · · · + cnxn The subject of linear programming can be defined quite concisely. It is concerned with the problem of maximizing or minimizing a linear function whose variables are required to satisfy a system of linear constraints, a constraint being a linear equation or inequality. The subject might more appropriately be called linear optimization. Problems of this sort come up in a natural and quite elementary way in many contexts but especially in problems of economic planning. (or Ax ≤ b) I. INTRODUCTION Linear programming is the process of taking various linear inequalities relating to some situation, and finding the "best" value obtainable under those conditions. A typical example would be taking the limitations of materials and labour, and then determining the "best" production levels for maximal profits under those conditions. In "real life", linear...
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...an expression consisting of variables (or indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials appear in a wide variety of areas of Mathematics and Science. For example, they are used to form polynomial equations, which encode a wide range of problems, from elementary word problems to complicated problems in the Sciences; they are used to define polynomial functions, which appear in settings ranging from basic chemistry and physics to economics and social Science; they are used in calculus and numerical to approximate other functions. In advanced Mathematics, polynomials are used to construct polynomial rings and algebraic varieties, central concepts in algebra and algebraic geometry. (https://en.wikipedia.org/wiki/Polynomial). Polynomial comes from poly- (meaning "many")...
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...` Reflection Reflection For this week’s assignment, we were to execute “the steps in testing a research hypothesis, compare the means of two or more groups, and calculate the correlation between two variables.” Phoenix. (2016). Also, we were to reflect on topics we liked, struggled with and to show how we apply them to our real life. The steps in testing a research hypothesis In McClave text book, five steps of testing a research hypothesis were identified. According to McClave "specifying the null hypothesis, specifying the alternative hypothesis, the level of significance of the test, calculating the test statistic, and summarizing the results to obtain the conclusion"(McClave, Benson, & Sincich, 2011). The first two steps were specifying the null hypothesis and specifying the alternative hypothesis. HA1: There is significant relationship between turnover in BMIS and Employees satisfaction Ho1: There is no significant relationship between turnover in BMIS and Employees satisfaction With the research hypothesis, its’ known to be the thesis which was generated by an analysis that’s used to determine the conclusion of the experiment. It’s important that the hypothesis is testable and can to prove accuracy. Comparing the means of two or more groups There are many times when comparing the means of two or more groups is very useful. When researching it is important to collect as much information as possible about the two...
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