... 2 Question One Compare and contrast The Matrix with the readings from Plato and Descartes. What are some similarities and differences? The Matrix describes a fictitious possibility of a virtual existence of the world and especially the world’s human population, unbeknownst by the majority of people involved in the virtual reality known as the Matrix. Certain players in the Matrix scenario are awakened to the proposition that perhaps their life experience is an orchestrated delusion, set into motion by certain governing powers, in an attempt to obtain and maintain absolute control upon the masses. An important character in the Matrix named, Morpheus, brings the deceptive virtual reality to the attention of other participants in the Matrix, in an effort to help awaken them to the real truth of their existence. It is discovered that rather than the daily life experience and existence of the population of the world, the people are actually unconscious of the absolute reality that they are all in a clinical state of suspended animation. This virtual reality of the Matrix overrides their normal flesh and blood existence by way of computer programming. The discovery of the Matrix false reality is so overwhelming that some individuals participate in rebellion against the Matrix, and others are disturbed by the discovery to such a degree that they choose to be assimilated in the Matrix....
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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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...the matrix. T system has an off-nominal The tap chan nging transformer betw ween buses 1 and 2 wi a tap setting of 1.03 The line b ith 3. between buses 1 and 4 has half line charging sus sceptance o 0.25 pu at each end. There is a mutual of a . ng u d own. couplin of 0.15 pu between lines 2-3 and 4-3 as sho 2 t = 1.03 1 3 j0.45 j0.4 4 j0.15 j0.1 j0. 2 j0.3 j0.1 4 Figure 1 on Solutio etween line 2-3 and 4-3 es Mutual coupling be = = 0.4 0.15 5 0.15 0.1 0 3 − 2 3 − 4 3 − 2 − 5.7143 8.5714 = 8.5714 3 − 4 8.5714 Buildin block matrix ng Tempor rary values are, = − 5.7143 =− 2 2.8571 = − 2.8571 = − 11.4286 = 8.5714 = 14 4.2857 = 8.57 714 = 14.2 2857 = − 22 2.8571 Tap changing transformer in line 1-2 1 = = − 2.222 0.45 . . = = − 2.1575, = . Temporary values are, = − 2.0947 = 2.1575 = 2.1575 = − 2.2222 ( . . ) = 0.0628, = . ( . . ) = − 0.0647 Line 1-4 with half line charging susceptance of j0.25 at each end = = − 3.3333, = 0.25, = 0.25 . The =− = = = =− = = =− = =− matrix is therefore, 3.3333 + 0.25 − 2.0947 = − 5.178 = 2.1575 =0 = 3.3333 2.2222 − 5.7143 = − 7.9365 = − 2.8571 = 8.5714 11.4286 = 14.2857 3.3333 + 0.25 − 22.8571 = − 25.9404 5.178 −2.1575 0 −3.3333 −2.1575 7.9365 2.8571 −8.5714 =− 0 2.8571 11.4286 −14.2857 −3.3333 −8.5714 −14.2857 25.9404 QUESTION 2 The matrix of a 3-bus...
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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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...Study | 2 | 1.4 Methodology of the Study | 3 | 1.5 Scope and Limitation of the Study | 3 | Chapter-02: Theoretical Overview | 4-8 | 2.1 Definition of Matrix | 4 | 2.2 Matrix Notation | 4 | 2.3 History of Matrix | 5 | 2.4 Types of Matrix | 6 | 2.4.1 Row Matrix | 6 | 2.4.2 Column Matrix | 6 | 2.4.3 Rectangular Matrix | 6 | 2.4.4 Square Matrix | 6 | 2.4.5 Zero Matrix | 7 | 2.4.6 Upper Triangular Matrix | 7 | 2.4.7 Lower Triangular Matrix | 7 | 2.4.8 Diagonal Matrix | 7 | 2.4.9 Scalar Matrix | 7 | 2.4.10 Identity Matrix | 8 | 2.4.11 Transpose Matrix | 8 | 2.4.12 Regular Matrix | 8 | 2.4.13 Singular Matrix | 8 | Chapter-03: Matrices Operation | 9-15 | 3.1. Properties of matrix operation | 9 | 3.1.1 Properties of subtraction | 9 | 3. 1.2 Properties of Addition | 9 | 3.1.3 Properties of Matrix Multiplication | 10 | 3.1.4 Properties of Scalar Multiplication | 10 | 3.1.5 Properties of the Transpose of a Matrix | 10 | 3.2 Matrix Operation | 11 | 3.2.1 Matrix Equality | 12 | 3.2.2 Matrix Addition | 12 | 3.2.3 Matrix Subtraction | 12 | 3.2.4 Matrix Multiplication | 12 | 3.2.5 Multiplication of Vectors | 14 | 3.3 Inverse of Matrix | 15 | 3.4 Elementary Operations | 15 | Chapter-04: Application of Matrix | 16-21 | 4.1 Application of Matrix | 16 | 4.1.1 Solving Linear Equations | 16 | 4.1.2 Electronics | 16 | 4.1.3 Symmetries and transformations in physics | 17 | 4.1.4 Analysis and geometry...
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...MATLAB® Getting Started Guide R2011b How to Contact MathWorks Web Newsgroup www.mathworks.com/contact_TS.html Technical Support www.mathworks.com comp.soft-sys.matlab suggest@mathworks.com bugs@mathworks.com doc@mathworks.com service@mathworks.com info@mathworks.com Product enhancement suggestions Bug reports Documentation error reports Order status, license renewals, passcodes Sales, pricing, and general information 508-647-7000 (Phone) 508-647-7001 (Fax) The MathWorks, Inc. 3 Apple Hill Drive Natick, MA 01760-2098 For contact information about worldwide offices, see the MathWorks Web site. MATLAB® Getting Started Guide © COPYRIGHT 1984–2011 by The MathWorks, Inc. The software described in this document is furnished under a license agreement. The software may be used or copied only under the terms of the license agreement. No part of this manual may be photocopied or reproduced in any form without prior written consent from The MathWorks, Inc. FEDERAL ACQUISITION: This provision applies to all acquisitions of the Program and Documentation by, for, or through the federal government of the United States. By accepting delivery of the Program or Documentation, the government hereby agrees that this software or documentation qualifies as commercial computer software or commercial computer software documentation as such terms are used or defined in FAR 12.212, DFARS Part 227.72, and DFARS 252.227-7014. Accordingly, the terms and conditions of this Agreement and only those rights...
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...SCHAUM’S outlines SCHAUM’S outlines Linear Algebra Fourth Edition Seymour Lipschutz, Ph.D. Temple University Marc Lars Lipson, Ph.D. University of Virginia Schaum’s Outline Series New York Chicago San Francisco Lisbon London Madrid Mexico City Milan New Delhi San Juan Seoul Singapore Sydney Toronto Copyright © 2009, 2001, 1991, 1968 by The McGraw-Hill Companies, Inc. All rights reserved. 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. ISBN: 978-0-07-154353-8 MHID: 0-07-154353-8 The material in this eBook also appears in the print version of this title: ISBN: 978-0-07-154352-1, MHID: 0-07-154352-X. 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. To contact a representative please e-mail us at bulksales@mcgraw-hill.com. TERMS OF USE This is a copyrighted work and The McGraw-Hill Companies,...
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...Lecture Notes on Mathematics for Economists Chien-Fu CHOU September 2006 Contents Lecture 1 Lecture 2 Lecture 3 Lecture 4 Lecture 5 Lecture 6 Lecture 7 Lecture 8 Lecture 9 Lecture 10 Static Economic Models and The Concept of Equilibrium Matrix Algebra Vector Space and Linear Transformation Determinant, Inverse Matrix, and Cramer’s rule Differential Calculus and Comparative Statics Comparative Statics – Economic applications Optimization Optimization–multivariate case Optimization with equality constraints and Nonlinear Programming General Equilibrium and Game Theory 1 5 10 16 25 36 44 61 74 89 1 1 Static Economic Models and The Concept of Equilibrium Here we use three elementary examples to illustrate the general structure of an economic model. 1.1 Partial market equilibrium model A partial market equilibrium model is constructed to explain the determination of the price of a certain commodity. The abstract form of the model is as follows. Qd = D(P ; a) Qd : Qs : P: a: Qs = S(P ; a) Qd = Qs , quantity demanded of the commodity quantity supplied to the market market price of the commodity a factor that affects demand and supply D(P ; a): demand function S(P ; a): supply function Equilibrium: A particular state that can be maintained. Equilibrium conditions: Balance of forces prevailing in the model. Substituting the demand and supply functions, we have D(P ; a) = S(P ; a). For a given a, we can solve this last equation to obtain the equilibrium...
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...quality information and recognize the solid, reliable research on which one‟s high-risk decisions as a manager can be based. One also needs to know how to analyze the research findings. The study of quantitative techniques provides one with the knowledge and skills needed to solve the problems and the challenges of a fast-paced decisionmaking environment. Managers make decisions on a day to day basis and it is necessary for them to be able to analyze the data so as to be able to make optimal decisions. This module has ten lesson which cover matrix algebra, markov analysis, Linear programming, differentiation, applications of differentiation to cost, revenue and profit functions, integral calculus, inventory models, sampling and estimation theory, hypothesis testing and chi-square tests. iii MODULE OBJECTIVES By the end of the course, the student should be able to:- 1. Perform various operations on matrices matrix algebra, 2. Apply the concept of matrices in solving simultaneous equations, input-output analysis and markov analysis, 3. Formulate and solve Linear programming using the graphical and simplex method 4. Differentiate various functions and apply to cost, revenue and profit functions 5. Apply...
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...Realities Two-Way Street Ignorance is bliss. This phrase, however comforting, is a provocative statement to the debilitating state of society and the human state of mind; the dual-edged comment is represented in both Plato’s Allegory of the Cave and the Wachoski brother’s The Matrix through universes, similar to our own, where people are in strong states of illusion and ignorance. Both have a character, which is brought to the “light” to realize this false reality and to liberate everyone else to a better reality, the “real” reality. Situations can arise where having knowledge of it can seem detrimental, however, our very existence as human beings is to live a life of bettering ourselves and the species in general through knowledge both good and bad, and the actions that take place from knowledge. People do actions and make decisions based on history from what he has done wrong or from what he has done correctly and on this basis it is a stepping stone that either good or bad having knowledge of the past, complete knowledge, helps to mold the future positively. Although blissful, avoiding reality will never be a positive action with even in modern days something such as Facebook has become our matrix keeping people away from the outside, not personally and physically interacting with others or now having games that are virtually realities allowing someone to be something else but does not benefit the world in any way. The lack of benefit world is where virtual reality does its...
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...1 Eigenvalues And Eigenvectors Aamir Nazir Course:- B.Tech 2nd Year (Civil Engineering) Section:- A Roll No.:- 120107002 System ID:- 2012018068 Subject:- Mathematics Subject Code:- MTH-217 Course Code:- CE-107 Teacher Incharge:- Ms. Archana Prasad 2 Contents 1. Abstract 3 2. Introduction 3-4 3. Eigenvectors and Eigenvalues of a real matrix 4 a. Characteristic Polynomial 7-8 b. Algebraic Multiplicities 8-9 4. Calculation 9 a. Computing Eigenvalues 9 b. Computing Eigen Vectors 10 5. Applications 10 a. Geology and Glaciology 10-11 b. Vibration Analysis 11-12 c. Tensor of Moment of Inertia 12 d. Stress Tensor 12 e. Basic...
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...* 1 Lesson: Linear Models and the Distributive Property Write an Expression Using the Distributive Property over Multiplication Some expressions representing real-world situations can be easily written in the form [[ a bx+c ]]. When solving problems with expressions written in this form, you will use the distributive property over multiplication. Example: You and your friend are selling raffle tickets for the local rotary club. Tickets are sold for $2 each. Your friend has already sold 100 tickets, and you are going to sell the remaining tickets. Write an expression for the total amount made from raffle ticket sales. In this problem, you are comparing two quantities: the number of tickets that you sell and the total amount of money made from ticket sales. In the first row of the table, write the column headings to describe the two quantities. The number of tickets that you sell is measured in tickets and the total amount of money made from ticket sales is measured in dollars. In the second row of the table, write the units used to measure each quantity. The problem states that the tickets are sold for $2 each and your friend has already sold 100 tickets. Use a variable, such as [[x ]], to represent the number of tickets that you sell. You can determine the total amount of money made from ticket sales by multiplying the total number of tickets sold, [[100+x ]], by the cost of each ticket, 2. The expression [[ 2100+x ]] represents the total amount of money made from ticket...
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...Essay PHIL 201 July 7, 2014 Essay After reading these pieces I concluded that the central theme is being awaken from a false reality but each piece differs in the action that follow the awakening. The Matrix is set in a futuristic setting, where the theory of being controlled by a massive computer is a real possibility. What I find most interesting is that Plato actually describes the concept of The Matrix, almost as if Plato’s dialogue was used an inspiration. In The Matrix and Plato’s dialogue, humans are not physically living the life they perceive as “real” but are stationary beings who are forced to live a false reality prescribe to them. This is where René Descartes’ excerpt differs from the previously mentioned. The person is aware of possibility that what he knows as true could be false, that how could we know if what we are living is done consciously or if our existence is but a dream. All of the excerpts also rely on the reasoning that the mind is the sole contributor of our existence and our physical senses only respond to what the mind knows. The differences in the readings is based on the actions or possible outcomes that occur once the awakening has taken place. In The Matrix, Neo decides to act and decides to embark on a journey to discover reality not being controlled by a computer. Plato’s dialogue is different because this is based on a hypothetically theory, so while there is no physically action the questions lies in how would people respond to...
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...Axia College Material Appendix B Cash Management Matrix Directions: Using the matrix, list how each of the principles of internal control works, and give an example for each. Next, list how each of the principles of cash management works, and give an example for each. |Principles of Internal Control |How it Works |Example | |Establishment of responsibility |Designating one person to a task. |If one person is in charge of a bank deposit, they are held | | | |responsible for putting the correct amount in the bank, the | | | |addition of the money, and if it is wrong (short/long), there is| | | |no question of who is responsible for the mistake. | |Segregation of duties |Divide the duties among employees and be consistent that they |Checking in merchandise, this person would know that they are | | ...
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