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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Evaluate the main problems associated with using plastic bags.Critically assess possible solutions to reduce these problems. The serious pollution caused by plastic bags has become an urgent environmental issue‚ it has attracted more and more concern.Today‚plastic bags are widely used in retail industry‚Kaplan(2010)states that nearly 1 trillion plastic bags are supplied in supermarkets‚ordinary shops and street markets.They are popular with both consumers and retailers mainly owning to their
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A critical analysis of ‘A Modest Proposal’ ‘A Modest Proposal’ is a Juvenalian satirical essay which was written by Jonathon Swift in 1729; a period of great inequality in Ireland which was then ruled by England. During this period‚ the poorer sections of the Irish population were subject to severe economic hardship‚ in which thousands literally starved to death every year whilst others were forced to beg in order to survive. Swift‚ along with many others‚ was dissatisfied with what he perceived
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“Radical shorts for men.” According to one of the founder of Chubbies‚ Tom Montgomery‚ they are called Chubbies because of “The elastic waistband‚ of course. It means you can gain some weight and your shorts still fit like a dream.” Today I will present you with the facts on why these thigh liberating shorts are the most radtacular shorts in the world and how they will help you reach your full potential. But to truly understand Chubbies you first must know the origin of so called “short shorts.”
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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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True Short Stories? I. Introduction Hook: A short story is a story with a fully developed theme‚ plot‚ and characters‚ but less elaborate than a novel. Book‚ Author: Blind Willow‚ Sleeping Woman by Haruki Murakami Thesis: Stories like A Shinagawa Monkey can be considered as short stories‚ as Murakami was able to present a realistic plot‚ a sophisticated theme‚ and a medley of colorful characters. II. Body Paragraph 1 Topic Sentence: The plot is the backbone of a story of any kind‚ and the short story
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Solution-Focused Brief Therapy in Integrated Settings People experience different types of moods throughout their lives. Throughout our nation‚ people are suffering from this mental illness. Depression affects people of both genders‚ all ages‚ and various backgrounds. Society has a different understanding of depression during different stages of a person’s life. In addition‚ depression relates to the state of low mood and a displeasure in activities affecting a person’s thoughts‚ behaviors‚ feelings
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A311: Final Exam Review Chapter 10 1. Interest Capitalization Delmar Corporation borrowed $200‚000 at 12% interest from state Bank on January 1‚ 2013‚ for the specific purpose of constructing special-purpose equipment to be used in its operations. Construction on the equipment began on 1/1/13‚ and the following expenditures were made prior to the project’s completion on 12/31/13: Expenditures Made in 2013 January 1 $100‚000 April 30 150‚000 November 1 300‚000 December 31 100‚000 Total Expenditures
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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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