Problem 1: Answer1 The next BEST move for A would be D. If A is maximizing player then the next level would be minimum and then the next would be maximum and so on. MAX: MAX(E)=Minmax(L,M)=MINMAX(RESULT (7,8))=7 MAX(F)=Minmax(N,O)=MINMAX(RESULT (5,8))=8 MAX(G)=Minmax(P,Q)=MINMAX(RESULT (2,3))=3 MAX(H)=Minmax(R,S)=MINMAX(RESULT (0,-2))=0 MAX(I)=Minmax(T,U)=MINMAX(RESULT (6,2))=6 MAX(J)=Minmax(V,W)=MINMAX(RESULT (5,8))=8 MAX(K)=Minmax(X,Y)=MINMAX(RESULT (9,2))=9 MIN: MIN(B)=MINMAX(E
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Solution Nguyen Van Linh,11A2 Math, Highshool for gifted student, Ha Noi University of Science, Vietnam 4/1/2010 Problem: Given a cyclic pentagon ABCDE.AD ∩ EB = {X}, AD ∩ EC = {L}, AC ∩ EB = {Y }, AC ∩ BD = {Z}, EC ∩ BD = {T }. (EAX) ∩ (ABY ) = {A1 }, (ABY ) ∩ (BCZ) = {B1 }, (BZC) ∩ (DT C) = {C1 }, (DT C) ∩ (ELD) = {D1 }, (ELD) ∩ (EAX) = {E1 }. Prove that A1 B1 C1 D1 E1 is a cyclic pentagon. Solution: First we will express a lemma: Given a pentagon ABCDE.A1 , B1 , C1 , D1 , E1 , A2 , B2
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focus on BMW (German), Norton and Triumph (both British) and Vespa (Italian) as well as the situation in the world championship. May be you have watch Star Wars? I guess you know Obi-Wan Kenobi who is the tutor of Anakin Skywalker. The actor who is playing him is Ewan McGregor. He together with his friend Charlie Boorman made a trip with BMW R1150GS Adventure from London to New York and named it Long Way Round. This is the name also of a TV series and best-selling book. The model BMW that they
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MARKETING MANAGEMENT CASE STUDY : Launching the BMW Z3 Roadster SYNOPSIS BMW, a German automobile manufacturer, known for its German engineering and quality, had established itself as a strong brand in the luxury/performance segment in U.S.A. However due to increasing competition from car makers such as infinity, Lexus, Acura, its sales dropped during the period mid 80’s to late 90’s . The case deals with the launch, of the now infamous BMW Z3 roadster, a car that revolutionized and rejuvenated
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BUS249 Essentials of Finance I Assignment #1 Question #1. You need to borrow money in order to buy a BMW M3 sports car. You have gone to several institutions and have been quoted the following rates: a. An EAR of 10%. b. 9.2% compounded continuously. c. 9.8% compounded every 6 months. d. 10.7% compounded each 2 years. e. 2.35% effective each quarter. Which rate do you choose? Question #2 A bank offers a lending rate of 10% p.a. compounded quarterly. What figure would they quote if they
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A LINGO model of a staffing problem Decision variables Xi = the # of employees who start to work on ith shift. ( i = 1, 2, ... , 6 ) LP Formulation MIN 36 X1 + 36 X2 + 36 X3 SUBJECT TO X1 X1 + X2 X1 + X2 + X3 X1 + X2 + X3 + X4 X2 + X3 + X4 + X5 X3 + X4 + X5 + X4 + X5 + X5 + ©Dennis Bricker Dept of Mechanical & Industrial Engineering The University of Iowa + 30 X4 + 30 X5 + 30 X6 2 3 5 5 3 2 4 6 3 (min # of busers on duty at 5am) (min # of busers on duty at 6am) (min # of busers on duty
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impact in the person I have to grown to be today. This is the incident that changed my life and gave me the greatest wakeup call I have ever known. BMW manufactured a sport crossover called the X5. The X5 has a powerful engine and has remarkable handling. My father had always driven SUVs’ and wanted to try something new so he acquired a 2008 BMW X5. On this spring night I decided to try out the speed of the car. There is a street called West Parkway, which is approximately three quarters of a mile
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Question #1. You need to borrow money in order to buy a BMW M3 sports car. You have gone to several institutions and have been quoted the following rates: a. An EAR of 10%. b. 9.2% compounded continuously. c. 9.8% compounded every 6 months. d. 10.7% compounded each 2 years. e. 2.35% effective each quarter. Which rate do you choose? Question #2 A bank offers a lending rate of 10% p.a. compounded quarterly. What figure would they quote if they wished to express this
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0013409石婉甄 1.3-20 a.select 3 vertices from A,B,C,D,E,F,G,H in C(8,3) ways,so there are 56 ways b.select 4vertices from A,B,C,D,E,F,G,H in C(8,4 ways,so there are70ays c.total polygons 28-C(8,0)-C(8,1)-C(8,2)=219 1.3-25 b.4!0!2!=12 1.4-12 a.x1+x2+x3+x4+x5+x6=39,xi≧0,1≦i≦6.there are C(6+39-1,39)=C(44,39) b.let yi=xi+3 1≦i≦5 y1+y2+y3+y4+y5≦54,yi≧0,C(6+54-1,54)=C(59,54) 1.4-19 r=4,nested for loop,so1≦m≦k≦j≦i≦20,we are making selections,with repetition of size r=4 from a collection of size
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Historiography It is the study of the history and methodology of the discipline of history. The term historiography also denotes a body of historical work on a specialized topic. Scholars discuss historiography topically – such as the “historiography of Catholicism,” the “historiography of early Islam,” or the “historiography of China" – as well as specific approaches such as political history and social history. Beginning in the nineteenth century, at the ascent of academic history, a corpus of historiography
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