ATILIM UNIVERSITY DEPARTMENT OF MATHEMATICS Math 211 - Discrete Mathematics with Applications 2010-2011 Fall Semester Problem Set I Prepared by Mehmet TURAN O−‚ Ω−‚ Θ− Notations 1. Let f and g be real valued functions defined on the same set of nonnegative real numbers. (a) Prove that if g(x) is O(f (x))‚ then f (x) is Ω(g(x)). (b) Prove that if f (x) is O(g(x)) and c is any nonzero ral number‚ then cf (x) is O(cg(x)). (c) Prove that if f (x) is O(h(x)) and g(x) is O(k(x))‚ then f (x) + g(x) is
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If you or the opposing side would like to take this collision to court everything would be put into perspective such as traffic surveillance‚ eyewitness‚ skid marks‚ blood alcohol levels readings and medical testimony providing evidence of the damage caused both physically and mentally. - Mental health issues: Car crashes are extremely traumatic events that can throw people
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During the operation of sand washing machine‚ customers may encounter some problems‚ such as the amount of washed asnd is decreasing‚ the sand is leaking‚ the damage of sand net‚ bolt ollseness‚ vibration of sand making machine‘s fixing frame‚ the sudden raised noise of transmission part‚ gear damage due to its lack of lubrication‚ etc. Here are some tips about sand making machine’s damage and resolution. 1). As to its bearing‚ the usual damage is lubrication shortage and seal ring breakdown
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Q-1 A surgeon wish to predict the live or death (status) of a CABG patient through their pulse rate‚ systolic blood pressure‚ sugar level‚ hemoglobin etc. He got the data from last 1600 surgeries held in a local hospital and applied an analysis. He got the following result Identification: It is binary logistic regression (LOIGT) Coding 0 = Death 1 = Alive The two post-operative status of the patients are death and alive coded by 0 and 1 respectively to use in binary logistic regression. Hosmer and
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Nick Carr published an article in Harvard Business Review titled "IT Doesn’t Matter." In this article‚ Carr compared IT to railroads‚ a transport mechanism. He emphasized "like any transport mechanism‚ it is far more valuable when shared than when used in isolation." Carr also added that as the ubiquity of IT grew‚ IT became more like a commodity‚ and therefore its role in strategic advantage reduced. He argued that the window for gaining competitive advantage through IT implementation is closing
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Advantages of Computers Disabled: Computers have changed many disabled people’s lives‚ especially those who are unable to leave their house because of boundaries such as wheelchairs. For people who are confined to wheelchairs‚ computers give them a chance to experience many things that would not be possible for them otherwise. They can go to a particular museum web site and learn about a Van Gogh painting‚ or they can go to a science web site and learn about NASA and the space shuttle.
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A Proposal to Investigate Effective Solutions to Lack of Access of Engineering Students in Bilkent University to the Exams of the Past Years Çağatay Güleç 20902028 1.0. INTRODUCTION Students of engineering departments in Bilkent University need to study hard for their exams in order to get satisfactory grades from their departmental courses. To accomplish that‚ they need to solve either sample problems from their course books or questions from the exams of previous years. A preliminary
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planned to open our family business early that day so we wouldn’t have to wait in traffic‚ which was terrible even early in the morning. The winter season was extremely cold that year. I got dressed as quickly as possible because I decided it would be beneficial to us if I went ahead and warmed up the car to get it running at optimal temperatures. We were finally on our way. It was nearly six o’clock and the traffic was just picking up. It seems as if all the shoppers had decided to get an early
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Air traffic control (ATC) is a service provided by controllers who direct aircraft on the ground and in the air. The main function of ATC systems worldwide is to separate aircraft to avoid collisions‚ to organize and expedite the flow of traffic‚ and to provide information and other support for pilots when able. In some countries‚ ATC may also play a security or defense role (as in the United States)‚ or actually be run entirely by the military (as in Brazil). Air traffic control was first introduced
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Il bilancio – Strumento di analisi per la gestione 4/ed R. N. Anthony‚ L. K. Breitner‚ D. M. Macrì Copyright © 2008 – The McGraw-Hill Companies srl CAPITOLO 8 LE PASSIVITA’ E IL CAPITALE NETTO Problemi Problema 8-1 Laribee SpA a. (1) Including current liabilities.............. Debt/Equity Ratio $97‚920 = 66.7% $146‚880 Debt/Capitalization Ratio Rarely calculated this way. (2) Excluding current liabilities except current portion of long-term debt..... Excluding all current liabilities
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