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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Secondary 2E1 Mid-Year Exam Review 1. Proportion Map and Scale Scale = Map length : Actual Length = 1 : r or If the scale on the map is given by 1: r‚ then the ratio of area measured on the map to the actual area is 1: r2 Direct and inverse proportion Direct Proportion Inverse Proportion If y is directly proportional to x‚ then or where is a constant and . k is known as the constant of proportionality. or where (‚) and (‚) are two pairs of values of and
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REAL-TIME OBJECT DETECTION FOR "SMART" VEHICLES D.M. Gavrila V. Philomin Image Understanding Systems DaimlerChrysler Research Ulm 89081‚ Germany dariu.gavrila@DaimlerChrysler.com Computer Vision Laboratory University of Maryland College Park‚ MD 20742‚ U.S.A. vasi@cs.umd.edu ABSTRACT This paper presents an e cient shape-based object detection method based on Distance Transforms and describes its use for real-time vision on-board vehicles. The method uses a template hierarchy to capture the variety
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APPENDIX D EXAMPLE OF ANNUAL REPORT ET HANDBOOK NO. 407 TAX PERFORMANCE SYSTEM ANNUAL REPORT APPENDIX D EXAMPLE OF REPORT The example shown on the following pages is not a mandatory format. It can be modified to suit individual State’s needs‚ For example‚ some States‚ based on their organizational structure‚ may find it necessary to add additional sections or combine sections to fit their management arrangement. Reviewers should have discussions with management prior to report
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The Modern Art Movement evolved around the turn of the late 1800’s through the turn of the 20th century‚ to the late 1900’s. Visual Art in Western society moved from naturalism to abstraction during this time‚ and emphasis was placed on the Design Elements and Principles rather than representation. Modern Art was influenced by the invention of Photography as it freed artists from the constraints of realism. Teacher’s Notes: “The Sunbaker”‚ 1939‚ Max Dupain. Analysis. Max Dupain’s image
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Ideas in Math 1. There are 4 roads from other cities coming in to vertex A. 2. Graph I is connected because all vertices have at least one path connecting them. 3. This graph is not an Euler circuit because not all edges have been covered. 4. In order for a graph to have an Euler circuit‚ all vertices must have even valence. Graph II is an Euler circuit because all vertices have even valence. 5. In order for a circuit to be an Euler circuit‚ each path must be covered once and only once. Since
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Assume the CAVA confirms the existence of an unavoidable conflict. The congruent coloring requires the fixed color be chosen‚ and consequently the two top rims be congruent conflict free. The focus is on these two issues. Congruence of Two Vertices Within three colors‚ two vertices (p‚ q)V(G) can be in one of the congruence relation defined as: congruent c(p) ≅ c(q)‚ the resulting color c(q) always equals the selected color for c(p). anti-congruent c(p) c(q)‚ <p‚ q>E‚ the resulting color c(q)
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Lings Cars - Website Purpose of the DMO The purpose of Lings Cars website is to advertise and rent out rental cars for their UK based company. The intention of this website is to expand Lings Cars business through technology‚ and hopefully increase their revenue by providing more rental cars to people. Information on the cars is presented across multiple web-pages on the website‚ which is owned by Lings Cars. Ling Valentine (CEO of Lings Cars) "handcrafted" the website‚ so I ’ll be referring to
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17th AnnuAl GenerAl MeetinG Date: Time: Venue: Thursday‚ 24 June 2010 10.00 a.m. AirAsia Academy Lot PT 25B Jalan KLIA S5 Southern Support Zone KLIA‚ 64000 Sepang Selangor Darul Ehsan Malaysia Notice of Annual General Meeting page 151 19.1% Truly ASEAN 2009 saw AirAsia Berhad (“AirAsia”) maintain its strong growth trajectory despite being a challenging year for the aviation industry. Underpinning our growth is our increasing penetration of the ASEAN (Association of Southeast Asian Nations)
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Question 3 Compute a sales dollar base index for Midwest Sales‚ Inc.‚ to analyze the following quality cost information‚ and prepare a memo to management. Answer {draw:frame} Question 4 Analyze the following cost data for product B. What are the implications of these data for management? Chart these data. Calculate the quality indices as a relationship to the cost sales. Product B Quality categories as a percentage of Quality Cost Answer {draw:frame} CoQ graph {draw:frame}
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