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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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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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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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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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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Introduction One of the most problems today is the traffic congestion that we experience in the large city. We feel that it is a headache during our journey and it gave us a lot of negative effects. Traffic congestion is a condition on road networks that occurs as use increases‚ and is characterized by slower speeds‚ longer trip times‚ and increased vehicular queuing. The most common example is the physical use of roads by vehicles. When traffic demand is great enough that the interaction between
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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 Throughout this paper I will discuss the history‚ current and future‚ and specific duties of Air Traffic Control. I will also discuss how Embry Riddle will allow me to reach my goal of one day becoming a controller. ATC is a fascinating career‚ and there is a lot to talk about when it comes to this profession‚ and in this paper you will discover just how important ATC actually is. In 1919‚ the International Commission for Air Navigation (ICAN) was created to develop "General
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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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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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