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oct29_inclass
Course: MATH 217, Fall 2009School: Wheaton College
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& Brams Fishburns argument for Approval Voting 1. 2. 3. 4. 5. 6. AV gives voters more exible options. AV helps elect the strongest candidate. AV will reduce negative AV campaigning. will increase voter turnout. AV will give minority candidates their proper due. AV is eminently practicable. T. Ratliff - Math 217 October 29, 2007
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& Brams Fishburns argument for Approval Voting 1. 2. 3. 4. 5. 6. AV gives voters more exible options. AV helps elect the strongest candidate. AV will reduce negative AV campaigning. will increase voter turnout. AV will give minority candidates their proper due. AV ...
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Wheaton College - MATH - 217
1.Consider the prole 29 2 13 A>B>C A>C>B C>A>B 15 26 1 C>B>A B>C>A B>A>CCalculate the rankings using plurality, plurality with runoff, antiplurality, the Borda Count, and pairwise elections. 2. Modify the prole by moving voters from one region to anothe
Wheaton College - MATH - 217
400 Seat National Assembly in South Africa 1. 2. A voter selects a single party 200 seats allocated to provinces using Droop quota with largest remainder Allocate seats to parties within each province using Droop quota with largest remainder Assign remain
Wheaton College - MATH - 217
South Africa 2004 ElectionAllocate 200 seats to provincesProvince Votes Eastern Cape 2,849,486 Free State 1,321,195 Gauteng 4,650,594 KwaZuluNatal 3,819,864 Limpopo 2,187,912 Mpumalanga 1,442,472 Northern Cape 433,591 North West 1,749,529 Western Cape 2
Wheaton College - MATH - 217
Population in South Africa based on 2001 Census Province 2,001 Eastern Cape 6,436,763 Free State 2,706,775 Gauteng 8,837,178 KwaZuluNatal 9,426,017 Limpopo 5,273,642 Mpumalanga 3,122,990 Northern Cape 822,727 North West 3,669,349 Western Cape 4,524,335 TO
Wheaton College - MATH - 217
Hills Method Choose the size of the House to be apportioned. Give to each state a number of seats so that no transfer of any one seat between two states can reduce the percentage difference in representation between those two states.T. Ratliff - Math 217
Wheaton College - MATH - 217
Population A 13,000 B 15,000 C 4,000 D 6,000 TOTAL 38,000% Pop 34.21% 39.47% 10.53% 15.79%55 Seats Quota 18.82 21.71 5.79 8.6818 21 5 8 52Hamilton Apptmnt 19 22 6 8 55Hill's Method for 55 Seats (divisor method) Divisor x= 1100 Population Quotient A 1
Wheaton College - MATH - 217
1870 CensusHouse size of 292 Actual Apportionment 8 4 4 4 1 2 9 19 13 9 3 10 6 5 6 11 9 3 6 13 1 1 3 7 33 8 20 1 27 2 5 10 6 3 9 3 8 292 Round Additional Hamilton Webster, x= 130,250 Quota Down Seats Quotient Rounded 8 8 7.638 7 1 7.65 4 4 3.711 3 1 3.72
Wheaton College - MATH - 217
Population A 13,000 B 15,000 C 4,000 D 6,000 TOTAL 38,000% Pop 34.21% 39.47% 10.53% 15.79%55 Seats Quota 18.82 21.71 5.79 8.6818 21 5 8 52Hamilton Apptmnt 19 22 6 8 55Dean's Method for 55 Seats Divisor x= 1100 Round Avg Difference Round Avg Differenc
Wheaton College - MATH - 217
U.S. Constitution, Article 1, Section 2, Clause 3: Required a census every 10 years and that:Representatives and direct Taxes shall be apportioned among the several States which may be included within this Union, according to their respective Numbers, wh
Wheaton College - MATH - 217
System: [13: 8, 7, 5, 4] Nation A B C D Total Population 10 M 8 M 6 M 6 M 28 M Weight 8 7 5 4 Citizen 'yes' Citizen 'no' 1 M 9 M 4.1 M 3.9 M 3.1 M 2.9 M 3.1 M 2.9 M 11.3 M 18.7 M OUTCOME Rep Vote NO YES YES YESYESSystem: [13: 8, 7, 5, 4] Used in MMD Eq
Wheaton College - MATH - 217
Weights in the Council of Ministers in the EU in 1958 Country Germany Italy France Netherlands Belgium Luxembourg Quota Weight 4 4 4 2 2 1 12T. Ratliff - Math 217August 29, 2007A Simple Apportionment Example Our mythical tiny nation is composed of thre
Wheaton College - MATH - 217
Math 217Voting Theory1K=C t t t t t 1 1 t t r r t rr 1 1 t t r t t 1 1 rrt B t A rCy =C t t t t t 1 0 t t r r t 0 rr 1 t r t t t 1 0 rrt B t r A R1 =C t t t t t 0 1 t t r r rt 0 t 0 rr tt r t 0 rt B r t A 1 R2 =C t t t t t 0 0 t t r r rt 1 t 1 r
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Math 104Maple 9.5 Cheat Sheet1General Issues Every line must end with a semi-colon. Always include the * for multiplication, like 3*(x+y) for 3(x + y). Maple is case-sensitive: plot is not the same as Plot. The Expression palette is very handy for pro
Wheaton College - MATH - 217
C t tt t t t t t t r r t t t rr t t r t rr r t t t rr t B t r C t tt t t t t t t r r t t t rr t t r t rr r t t t rr t B t r AAC t tt t t t t t t r t rrr t t t r rr tt t r t rr t t B r tC t tt t t t t t t r t rrr t t t r rr tt t r t rr t t B t r AA
Wheaton College - MATH - 217
D C D r r rr t r t t rr t rr t t r r t rr t rr t t t t t rrt At t rB r rr t t rr r t t t t DD C D r r rr t r t t rr t rr t t r r t rr t rr t t t t t rrt At t r r B rr t t rr r t t t t DD C D r r t t r rrr t t rr t rr r t r t t rr t t r t t t rrt At rB t
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Human ImpactEEE 105 Read Ch. 12Human Impact renewable resource e.g. forestscivilization ~ deforestation watershed managementNational ForestsThe campaign against logging in National Forests48% of hardwood productionpalettesHuman Impact renewable re
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Genre TheoryEngl 582: Topics in Research and Writing Center for Writing Studies UIUC Spencer Schaffner, Asst. Professor spencers@uiuc.edu im: "metaspencer" office hours mon/wed 1:00-2:00 and by appointment course website: http:/www.english.uiuc.edu/-peop
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DEPARTMENT OF FINANCE, INSURANCE & LAW COLLEGE OF BUSINESS ILLINOIS STATE UNIVERSITY FIL 440 - Ahlgrim Midterm 100 points NAME _NOTE: For all bond questions, always assume semiannual coupons unless stated otherwise in the question. MULTIPLE CHOICE Circle
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Kristine Roubik C & I 235-Spreadsheet Project February 12, 2003 Student 32 For my focus student, I chose Student 32, who received the best grade in the class. I felt one of the best ways to represent Student 32's performance in the class would be by creat
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Home Entertainment SystemsPittsburgh Profit PotentialSystem Category Hitachi JVC Philips Pioneer RCA Sharp Sony Total Units On Hand 5 234 45 12 28 30 1,015 1,369 Average Unit Cost $3,212.37 224.13 995.21 4,123.82 1,175.47 1,023.85 109.80 Total Cost $16,
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EE266 Learning Objectives and Practice ProblemsLectures 4,5General Instructions: Select at least one problem from each Group below. Work at least 6 problems each week. Group 1 - Representation of Boolean functions (What you should be able to do after st
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Lake County - CI - 235
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Lake County - CI - 235
Total Homework Scores96.00% 95.00% 94.00% 93.00% 92.00% Percent 91.00% 90.00% 89.00% 88.00% 87.00% 86.00% AA DD Y L T S BB G O Z B I X K Q U J W CC R C P E H M N V A D F StudentStudent J's Homework Performance97.00%96.33% 96.00%95.00% Percent Grade9
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rh.edu - DSES - 6620
Simulation and Modeling Homework 8 Rich SewerskyNarration: Section 8.1 is just descriptions. Complete exercise 8.2. Model listing is saved as "aero_mfg.txt" and output as "aero_mfg out.txt". Generated the WIP value history graph and was able to reproduce
rh.edu - DSES - 6620
** ** Formatted Listing of Model: ** C:\WINDOWS\Desktop\homework disk\Homework 8\Burger queen.mod ** ** Model Notes: ##Lab 8.3 Time Units: Minutes Distance Units: Feet** Locations ** Name Cap Units Stats Rules Cost - - - - -
rh.edu - DSES - 6620
** ** Formatted Listing of Model: ** C:\WINDOWS\Desktop\homework disk\Homework 8\aero_mfg.mod ** ** Model Notes: ##Lab 8.2 Time Units: Minutes Distance Units: Feet** Locations ** Name Cap Units Stats Rules Cost - - - - -
rh.edu - DSES - 6620
Oi Class interval Observed freq Mean calc 1 5 0.32 2 15 0.24 3 25 0.15 4 35 0.1 5 45 0.07 6 55 0.05 7 65 0.04 8 75 0.02 9 85 0.01 10 95 0.01 11 250 0.01 1 lamda 0.04lamda*exp(-lamda*x) Expected Expected freq delta^2 1.6 0.03 0.34 0 3.6 0.02 0.23 0 3.75 0
rh.edu - DSES - 6620
-General ReportOutput from A:\exam\question 2.mod [Exam question 2]Date: Feb/28/2002 Time: 07:01:42 PM-Scenario : Normal RunReplication : AveragePeriod : Final Report (100 hr to 1100 hr Elapsed: 1000 hr)Warmup Time : 100 hr (Std. Dev. 0 sec)Simul
rh.edu - DSES - 6620
-General ReportOutput from A:\exam\question 2.mod [Exam question 2]Date: Feb/28/2002 Time: 06:12:39 PM-Scenario : Normal RunReplication : AveragePeriod : Final Report (16 hr to 116 hr Elapsed: 100 hr)Warmup Time : 16 hr (Std. Dev. 0 sec)Simulatio
rh.edu - DSES - 6620
Input Variables 1/lamda 40 1/mu 30 sigma 20 sigma^2 lamda 0.025 lamda^2 mu 0.033 mu^2400 Per hour 0 Per hour 0 Per hour0.33 1.5 2Results rho L w wq Lq L-Lqunits 0.75 % 2.38 num customers 95 minutes 65 minutes 1.63 num customers 0.751.6 hrs 1.1 hrs
rh.edu - DSES - 6620
Random Seed Normal Transformation using Inverse transforms from 3.7 of session 5 notes 0.37 -0.34 0.53 0.08 0.03 -1.89 0.89 1.22 0.76 0.71 0.48 -0.05 0.85 1.04 0.69 0.49 0.4 -0.26 0.63 0.34 0.45 -0.11 0.48 -0.06 0.62 0.3 0.28 -0.57 0.86 1.08 0.02 -1.98 0.
rh.edu - DSES - 6620
-General ReportOutput from A:\Homework 5\fantastic dan constant.MOD [Fantastic Dan]Date: Mar/01/2002 Time: 04:01:44 AM-Scenario : Normal RunReplication : 1 of 1Simulation Time : 8 hr-LOCATIONS Average Location Scheduled Total Minutes Average Ma
rh.edu - DSES - 6620
** ** Formatted Listing of Model: ** A:\rich\homework 10\ideal.mod ** ** Model Notes: ##lab 10 Time Units: Minutes Distance Units: Feet** Locations ** Name Cap Units Stats Rules Cost - - - - -
rh.edu - DSES - 6620
Model Optimized: C:\ProMod4\models\ideal.modThe best solution found: ProcessTime: 1The best objective function value found:0Optimization Information:Optimization setup included: Software: ProModel Version: 4 Profile: Aggressive Reps: 12 Experime
rh.edu - DSES - 6620
-General ReportOutput from A:\rich\homework 10\ideal.mod [ideal production system]Date: Apr/11/2002 Time: 05:36:56 PM-Scenario : Normal RunReplication : 1 of 1Warmup Time : 50 hrSimulation Time : 300 hr-LOCATIONS Average Location Scheduled Tot
rh.edu - DSES - 6620
Simulation and modeling Homework 10 Rich SewerskyNarration: Completed lab 10.2 (lab 10.1 was descriptive only). Model listing is saved as "ideal.txt" with initial baseline output as "ideal initial out.txt". The baseline average queue contents were 12.4.
rh.edu - DSES - 6620
-General ReportOutput from C:\WINDOWS\Desktop\homework disk\homework 10\example 13_1.MOD [ideal production system]Date: Apr/22/2002 Time: 11:57:09 AM-Scenario : Normal RunReplication : AllPeriod : Final Report (0 sec to 1666 hr Elapsed: 1666 hr)Si
rh.edu - DSES - 6620
-General ReportOutput from C:\WINDOWS\Desktop\homework disk\homework 10\example 13_1.MOD [ideal production system]Date: Apr/22/2002 Time: 11:52:02 AM-Scenario : Normal RunReplication : AllPeriod : Final Report (0 sec to 1666 hr Elapsed: 1666 hr)Si
rh.edu - DSES - 6620
-General ReportOutput from C:\WINDOWS\Desktop\homework disk\homework 10\example 13_1.MOD [ideal production system]Date: Apr/22/2002 Time: 12:00:47 PM-Scenario : Normal RunReplication : AllPeriod : Final Report (0 sec to 1666 hr Elapsed: 1666 hr)Si
rh.edu - DSES - 6620
-General ReportOutput from C:\WINDOWS\Desktop\homework disk\homework 10\example 13_1.MOD [ideal production system]Date: Apr/22/2002 Time: 11:39:22 AM-Scenario : Normal RunReplication : AllPeriod : Final Report (0 sec to 1666 hr Elapsed: 1666 hr)Si
rh.edu - DSES - 6620
-General ReportOutput from C:\WINDOWS\Desktop\homework disk\homework 10\example 13_1.MOD [ideal production system]Date: Apr/22/2002 Time: 11:26:44 AM-Scenario : Normal RunReplication : AllPeriod : Final Report (0 sec to 1666 hr Elapsed: 1666 hr)Si
rh.edu - DSES - 6620
** ** Formatted Listing of Model: ** C:\WINDOWS\Desktop\homework disk\homework 10\example 13_1.MOD ** ** Model Notes: ##lab 10 Time Units: Minutes Distance Units: Feet** Locations ** Name Cap Units Stats Rules Cost - - - - -
rh.edu - DSES - 6620
-General ReportOutput from C:\ProMod4\models\example 13_1.MOD [ideal production system]Date: Apr/11/2002 Time: 07:02:04 PM-Scenario : Normal RunReplication : AllPeriod : Final Report (0 sec to 1666 hr Elapsed: 1666 hr)Simulation Time : 1666 hr-L
rh.edu - DSES - 6620
Case Arrivals A e(10) B e(10) C e(10) D e(10) E 10 F 10Processing Breakdowns Repairs e(7.5) NA NA e(8) NA NA e(7.5) e(1000) e(50) e(7.5) 1000 50 7.5 1000 50 7.5 e(1000) e(50)Avg Q - Text Avg Q - Sim 2.31 2.27 3.26 3.02 4.11 3.66 3.24 3.27 0.52 0.52 1.13
rh.edu - DSES - 6620
** ** Formatted Listing of Model: ** C:\WINDOWS\Desktop\homework disk\Homework 6\ship n boxes.mod ** ** Model Notes: ##lab 6.7.1 Time Units: Minutes Distance Units: Feet** Locations ** Name Cap Units Stats Rules Cost - - - -
rh.edu - DSES - 6620
** ** Formatted Listing of Model: ** C:\WINDOWS\Desktop\homework disk\Homework 6\ship n boxes while do.MOD ** ** Model Notes: ##lab 6.7.1 Time Units: Minutes Distance Units: Feet** Locations ** Name Cap Units Stats Rules Cost - - - -
rh.edu - DSES - 6620
-General ReportOutput from C:\WINDOWS\Desktop\homework disk\Homework 6\ship n boxes.mod [ship n boxes]Date: Apr/21/2002 Time: 03:54:34 PM-Scenario : Normal RunReplication : 1 of 1Simulation Time : 10 hr-LOCATIONS Average Location Scheduled Tota
rh.edu - DSES - 6620
** ** Formatted Listing of Model: ** C:\WINDOWS\Desktop\homework disk\Homework 6\science park.mod ** ** Model Notes: ##lab 6.8 Time Units: Minutes Distance Units: Feet** Locations ** Name Cap Units Stats Rules Cost - - - -
rh.edu - DSES - 6620
-General ReportOutput from C:\WINDOWS\Desktop\homework disk\Homework 6\science park.mod [Science Amusement park]Date: Apr/21/2002 Time: 04:36:49 PM-Scenario : Normal RunReplication : 1 of 1Simulation Time : 1000 hr-LOCATIONS Average Location Sc
rh.edu - DSES - 6620
** ** Formatted Listing of Model: ** A:\rich\Homework 6\san dimas.mod ** ** Model Notes: ##Lab 6 section 6.2 Time Units: Minutes Distance Units: Feet** Locations ** Name Cap Units Stats Rules Cost - - - -
rh.edu - DSES - 6620
-General ReportOutput from A:\rich\Homework 6\san dimas.mod [San Dimas Electronics]Date: Mar/07/2002 Time: 07:45:51 PM-Scenario : Normal RunReplication : 1 of 1Simulation Time : 160 hr-LOCATIONS Average Location Scheduled Total Minutes Average
rh.edu - DSES - 6620
** ** Formatted Listing of Model: ** A:\rich\Homework 6\pomona.mod ** ** Model Notes: ##Lab 6 , sections 6.1 Time Units: Minutes Distance Units: Feet** Locations ** Name Cap Units Stats Rules Cost - - - - -
rh.edu - DSES - 6620
-General ReportOutput from A:\rich\Homework 6\pomona.mod [Pomona Electronics]Date: Mar/07/2002 Time: 07:11:01 PM-Scenario : Normal RunReplication : 1 of 1Simulation Time : 2.45845 hr-LOCATIONS Average Location Scheduled Total Minutes Average Ma
rh.edu - DSES - 6620
** ** Formatted Listing of Model: ** C:\WINDOWS\Desktop\homework disk\Homework 6\Poly Casting.mod ** ** Model Notes: ##lab 6.4 Time Units: Minutes Distance Units: Feet** Locations ** Name Cap Units Stats Rules Cost - - - - -
rh.edu - DSES - 6620
-General ReportOutput from C:\WINDOWS\Desktop\homework disk\Homework 6\Poly Casting.mod [Poly Casting]Date: Apr/21/2002 Time: 08:16:12 AM-Scenario : Normal RunReplication : 1 of 1Simulation Time : 100 hr-LOCATIONS Average Location Scheduled Tot
rh.edu - DSES - 6620
** ** Formatted Listing of Model: ** C:\WINDOWS\Desktop\homework disk\Homework 6\Poly Casting do while.MOD ** ** Model Notes: ##lab 6.4 Time Units: Minutes Distance Units: Feet** Locations ** Name Cap Units Stats Rules Cost - - - - -
rh.edu - DSES - 6620
** ** Formatted Listing of Model: ** C:\WINDOWS\Desktop\homework disk\Homework 6\poly casting defects rework.MOD ** ** Model Notes: ##lab 6.4 Time Units: Minutes Distance Units: Feet** Locations ** Name Cap Units Stats Rules Cost - - - - -
rh.edu - DSES - 6620
-General ReportOutput from C:\WINDOWS\Desktop\homework disk\Homework 6\lone hill school.mod [Lone hill middle school]Date: Apr/21/2002 Time: 05:01:36 PM-Scenario : Normal RunReplication : 1 of 1Simulation Time : 264 hr-LOCATIONS Average Locatio