Professor Mumford mumford@purdue.edu Econ 360 - Fall 2012 Problem Set 1 Answers True/False (30 points) 1. FALSE If (ai ‚ bi ) : i = 1‚ 2‚ . . . ‚ n and (xi ‚ yi ) : i = 1‚ 2‚ · · · ‚ n are sets of n pairs of numbers‚ then: n n n (ai xi + bi yi ) = i=1 i=1 ai x i + i=1 bi yi 2. FALSE If xi : i = 1‚ 2‚ . . . ‚ n is a set of n numbers‚ then: n n n n n (xi − x) = ¯ i=1 n i=1 2 x2 i − 2¯ x i=1 xi + i=1 x = ¯ i=1 2 x2 − n¯2 x i where x = ¯ 1 n i=1 xi 3. TRUE If xi : i = 1‚ 2‚ . .
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6/28/2012 Number Systems Chapt. 2 Common Number Systems System Base Symbols b l Used by humans? Used in computers? Decimal 10 0‚ 1‚ … 9 Yes No Binary 2 0‚ 1 No Yes Octal 8 0‚ 1‚ … 7 No No Hexadecimal 16 0‚ 1‚ … 9‚ ‚ ‚ ‚ A‚ B‚ … F No No 1 6/28/2012 Quantities/Counting (1 of 3) Decimal 0 1 2 3 4 5 6 7 Binary 0 1 10 11 100 101 110 111 HexaOctal decimal 0 0 1 1 2 2 3 3 4 4
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Works Cited Bey‚ Amani. "Methods." Personal interview. 28 Jan. 2013. I interview Amani because she is a teenager guided by mentorship. She revealed to me how being mentored by positive‚ loving‚ and caring people has changed who she is as a person. She said “I see a big change in myself. It’s like my whole life I’ve been so angry and upset‚ and it was all because I was being misguided and I didn’t have the chance to become who I am now.” This interview helped me because It kind of showed me what
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Atoms are the smallest entities which resemble the properties of an element and cannot be broken down into smaller parts. Molecules are formed when two or more atoms are combined. This formation can happen in a variety of ways. When two oxygen atoms join O2 is formed‚ and when three oxygen atoms join O3 or ozone is formed. Both of these have different properties. Different atoms can also combine to form molecules. Hydrogen combines with sulfur to form H2S and hydrogen and oxygen also combine
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CLASSIFICATION OF ELEMENTS Introduction There are 115 elements that are known at present. Some elements have similar properties whereas some others have completely contrasting properties Scientists began to look for some pattern in the properties of these elements Dobereiner’s triads In 1817‚ Johann Wolfgang Dobereiner‚ a German chemist‚ classified elements into groups based on their properties. He kept all elements having similar properties in one group. Most of his groups had three elements each. Thus
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Elements of Destruction In Ancient Greek philosophy it is believed that all matter is made up of four elements: earth‚ water‚ air and fire. According to David Osborn‚ the Greeks believed that our world exists in a simple balance of these four elements. If the delicate harmony of these powerful forces were to be disturbed by human interference‚ there would be a vast amount of turmoil and chaos on Earth (webpage). Within the novel The Wars the author‚ Timothy Findley‚ utilizes the elements of earth
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CAMBRIDGE CELTA COURSE 24 June – 19 July 2013 Dear Trainee‚ Welcome to British Side and the course! You are now trainees on the Cambridge CELTA Course and students at British Side. The former means that you are following a training course designed by the University of Cambridge ESOL. The syllabus and assessment criteria are laid down by this organisation‚ and the course will be inspected and moderated by an externally appointed assessor. You will not be assessed by this person (s/he will inspect
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Element Project: Vanadium Element Project: Vanadium Vanadium is a very interesting and useful element. It is solid at room temperature and in its pure state it is a grayish silvery metal. It is soft and ductile and it has good corrosion resistance to alkalis‚ sulphuric acid‚ hydrochloric acid‚ and salt waters. Its element symbol is V and its atomic number is 23. On the periodic table it is in group 5 and in period 4. Its atomic mass is 50.9415‚ and the history
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The Finite Element Method This page intentionally left blank The Finite Element Method An Introduction with Partial Differential Equations Second Edition A. J. DAVIES Professor of Mathematics University of Hertfordshire 1 Great Clarendon Street‚ Oxford ox2 6dp Oxford University Press is a department of the University of Oxford. It furthers the University’s objective of excellence in research‚ scholarship‚ and education by publishing worldwide in Oxford New York Auckland Cape Town Dar es Salaam
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Design Elements & Principles I. Introduction Certain web sites seize users’ sights more easily‚ while others don’t. Why? Sometimes we have to remark our opinion about likes or dislikes of web sites‚ and it is easy to say just “I like this‚ or I don’t like that…” But if we are asked to answer the question why‚ then it is very difficult to find out the reason. Which factors do influence on someone to have a certain attitude toward a web page? There may be very many reasons related to it‚ but
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