Data from our man Zipf. Outline. Zipf in brief. Zipfian empirics. References. Zipf in brief. References. Frame 1/20. Data from our man Zipf
|
|
- Vanessa Nicholson
- 5 years ago
- Views:
Transcription
1 Outline Principles of Complex Systems Course CSYS/MATH 300, Fall, 2009 Prof. Peter Dodds Dept. of Mathematics & Statistics Center for Complex Systems :: Vermont Advanced Computing Center University of Vermont Licensed under the Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License. Frame 1/20 Frame 2/20 George Kingsley : Human Behavior/Principle of Least Effort: In brief: ( ) ( ) was a linguist at Harvard, specializing in Chinese languages. Unusual passion for statistical analysis of texts. Studied human behavior much more generally... s masterwork: Human Behavior and the Principle of Least Effort Addison-Wesley, 1949 Cambridge, MA [2] From the Preface Nearly twenty-five years ago it occurred to me that we might gain considerable insight into the mainsprings of human behavior if we viewed it purely as a natural phenomenon like everything else in the universe,... And... the expressed purpose of this book is to establish The Principle of Least Effort as the primary principle that governs our entire individual and collective behavior... Bonus field of study: Glottometrics. ( ) Bonus word word: Glossolalia. ( ) Frame 3/20 Frame 4/20
2 The Principle of Least Effort: Rampaging research s framing (p. 1):... a person in solving his immediate problems will view these against the background of his probable future problems as estimated by himself.... he will strive... to minimize the total work that he must expend in solving both his immediate problems and his probable future problems. [he will strive to] minimize the probable average rate of his work-expenditure... Frame 5/20 Within Human Behavior and the Principle of Least Effort: City sizes # retail stores in cities # services (barber shops, beauty parlors, cleaning,...) # people in occupations # one-way trips in cars and trucks vs. distance # new items by dateline weight moved between cities by rail # telephone messages between cities # people moving vs. distance # marriages vs. distance Observed general dependency of interactions between cities A and B on P A P B /D AB where P A and P B are population size and D AB is distance between A and B. Frame 6/20 : : vocabulary balance: f r 1 r f constant (f = frequency, r = rank). f r 1 for word frequency: Frame 7/20 Frame 8/20
3 s basic idea: : Forces of Unification and Diversification: Easiest for the speaker to use just one word. Encoding is simple but decoding is hard uses the analogy of tools: one tool for all tasks. Number of meanings m r f 1/2 r f r is frequency. where r is rank and Optimal for listener if all pieces of information correspond to different words (or morphemes). Analogy: a specialized tool for every task. Decoding is simple but encoding is hard thereby argues for a tension that should lead to an uneven distribution of word usage. No formal theory beyond this... Frame 9/20 Frame 10/20 : : Article length in the Encyclopedia Britannica: Population size of districts: (?) slope of 3/5 corresponds to γ = 5/3. Frame 11/20 α = 1 corresponds to γ = 1 + 1/α = 2. Frame 12/20
4 : : Number of employees in organizations # news items as a function of population P 2 of location in the Chicago Tribune D = distance, P 1 = Chicago s population α = 2/3 corresponds to γ = 1 + 1/α = 5/2. Frame 13/20 Frame 14/20 : : # obituaries in the New York Times for locations with population P 2. D = distance, P 1 = New York s population Movement of stuff between cities D = distance, P 1 and P 2 = city populations. Frame 15/20 Frame 16/20
5 drg, which suggests (see Supplemenp to the leading order we have we ranked each location on the basis of the number of times an To explore if individuals return to the same location over and over, within ian error bars, empirics: with the measured individual was recorded in its vicinity, such that a locationian with empirics: at the observed jump size distribution L 5 3 represents the third-most-visited location for the selected individual. We of trip. find that the probability of finding a user at a location with tion between The probability of marriage? Length the statistics of tripofversus individual frequency e population heterogeneity P( ), connism stabilizing, we measured the a given rank L is well approximated by P(L), 1/L, independent of the γ = 1? Solid line = -1/2 exponentnumber corresponds of locations to γ visited = 2. by the user (Fig. 2d). Therefore, people individual F pt (t) (first passage time the probability that a user returns to the rst observed after t hours (Fig. 2c). For a alk, F pt (t) should follow,1/(t ln 2 (t)) und that the return probability is chart 24 h, 48 h and 72 h, capturing a strong turn to locations they visited before, and temporal periodicity inherent to km km 0 km 0 4,000 s b r α g P ( r ) Recent action: d P(L) 10 2 Slope 1.2 r ~4 g ~ ~40 ~100 ~ r/ P ( r ) r (km) P(L) 5 loc. 10 loc. 30 loc. 50 loc. ~(L) L L of human trajectories. a, Radius of gyration hone users separated into three groups here T 5 6 months. The black curves edictions for the random walk models, LF,TLF, t 3/2 1 b (solid curve) and. The dashed curves corresponding to a B ln(t), where A and B are time-independent devote most of their time to a few locations, although spending their remaining time in 5 to 50 places, visited with diminished regularity. Therefore, the observed logarithmic saturation of (t) is rooted in the high degree of regularity in the daily travel patterns of individuals, captured by the high return probabilities (Fig. 2b) to a few highly frequented locations (Fig. 2d). An important quantity for modelling human mobility patterns is the probability density function W a (x, y) to find an individual a in a given position (x, y). As it is evident from Fig. 1b, individuals live and travel in different regions, yet each user can be assigned to a well defined area, defined by home and workplace, where she or he can be found most of the time. We can compare the trajectories of different users by diagonalizing each trajectory s inertia tensor, providing the probability of finding a user in a given position (see Fig. 3a) in the user s intrinsic reference frame (see Supplementary Information for the details). A striking feature of W (x, y) is its prominent spatial Frame 17/20 anisotropy in this intrinsic reference frame (note the different scales in Fig. 3a); we find that the larger an individual s, the more pronounced is this anisotropy. To quantify this effect, we defined the anisotropy ratio S ; s y /s x, where s x and s y represent the standard deviation of the trajectory measured in the user s intrinsic reference frame (see Supplementary Information). We found that S decreases monotonically with (Fig. 3c), being well approximated with S* {g fo < Given the small value of the scaling exponent, other functional forms may offer an equally good fit; thus, mechanistic models are required to identify if this represents a true scaling law or only a reasonable approximation to the data. To compare the trajectories of different users, we removed the individual Probability anisotropies, of people rescaling each user trajectory with its respective s x and s y. The rescaled ~W x=s x,y being in certain s y distribution M. C. González, C. A. Hidalgo, and A.-L. Barabási. (Fig. 3b) is similar foroups of users with considerably different locations follows a Understanding individual human mobility patterns., that is, after the anisotropy and the dependence are removed all individuals ish law... seem to follow the same universal ~W ð~x,~y Þ probabi-naturelity distribution. From Gonzàlez This iset particularly al., evident in Fig. 3d, where we 453: , pdf ( ) show the cross section of ~W ðx=s x,0þ for the three groups ofg. K.. Nature (2008) users, finding that apart from the noise in the data the curves arehuman Behaviour and the Principle of Least-Effort. indistinguishable. Understanding Addison-Wesley, Cambridge, MA, Taken individual together, human our results suggest that the Lévy statistics observed in bank mobility note measurements patterns [1] capture a convolution of the population heterogeneity shown in equation (2) and the motion of individual users. Individuals display significant regularity, because they return to a few highly frequented locations, such as home or work. This regularity does not apply to the bank notes: a bill always follows the trajectory of its current owner; that Frame is, 19/20 dollar bills diffuse, but humans do not. The fact that individual trajectories are characterized by the same r -independent two-dimensional probability distribution I Frame 18/20 Frame 20/20
Understanding individual human mobility patterns Supplementary Material
Understanding individual human mobility patterns Supplementary Material Marta C. González, César A. Hidalgo, Albert-László Barabási Contents I.Data 2 II. Characterizing individual calling activity 3 III.
More informationModelling exploration and preferential attachment properties in individual human trajectories
1.204 Final Project 11 December 2012 J. Cressica Brazier Modelling exploration and preferential attachment properties in individual human trajectories using the methods presented in Song, Chaoming, Tal
More informationarxiv: v1 [physics.soc-ph] 7 Jun 2008
Understanding individual human mobility patterns Marta C. González, 1, 2 César A. Hidalgo, 1 1, 2, 3 and Albert-László Barabási 1 Center for Complex Network Research and Department of Physics and Computer
More informationMath 082 Final Examination Review
Math 08 Final Examination Review 1) Write the equation of the line that passes through the points (4, 6) and (0, 3). Write your answer in slope-intercept form. ) Write the equation of the line that passes
More informationActivity Identification from GPS Trajectories Using Spatial Temporal POIs Attractiveness
Activity Identification from GPS Trajectories Using Spatial Temporal POIs Attractiveness Lian Huang, Qingquan Li, Yang Yue State Key Laboratory of Information Engineering in Survey, Mapping and Remote
More informationRe: January 27, 2015 Math 080: Final Exam Review Page 1 of 6
Re: January 7, 015 Math 080: Final Exam Review Page 1 of 6 Note: If you have difficulty with any of these problems, get help, then go back to the appropriate sections and work more problems! 1. Solve for
More informationComplex Networks CSYS/MATH 303, Spring, Prof. Peter Dodds
Complex Networks CSYS/MATH 303, Spring, 2011 Prof. Peter Dodds Department of Mathematics & Statistics Center for Complex Systems Vermont Advanced Computing Center University of Vermont Licensed under the
More informationRandom Networks. Complex Networks CSYS/MATH 303, Spring, Prof. Peter Dodds
Complex Networks CSYS/MATH 303, Spring, 2011 Prof. Peter Dodds Department of Mathematics & Statistics Center for Complex Systems Vermont Advanced Computing Center University of Vermont Licensed under the
More information8.EE The Intersection of Two
8.EE The Intersection of Two Lines Alignments to Content Standards: 8.EE.C.8.a Task a. Draw the two lines that intersect only at the point. One of the lines should pass (0, ) through the point. b. Write
More informationA route map to calibrate spatial interaction models from GPS movement data
A route map to calibrate spatial interaction models from GPS movement data K. Sila-Nowicka 1, A.S. Fotheringham 2 1 Urban Big Data Centre School of Political and Social Sciences University of Glasgow Lilybank
More informationZipf s Law Revisited
Zipf s Law Revisited Omer Tripp and Dror Feitelson The School of Engineering and Computer Science Hebrew University Jerusalem, Israel Abstract Zipf s law states that the frequency of occurence of some
More informationFind the following matrix products, if possible.(1-4)
Name: Math 1324 Activity 8(4.5)(Due by Oct. 13) Dear Instructor or Tutor, These problems are designed to let my students show me what they have learned and what they are capable of doing on their own.
More informationUNIT 2: REASONING WITH LINEAR EQUATIONS AND INEQUALITIES. Solving Equations and Inequalities in One Variable
UNIT 2: REASONING WITH LINEAR EQUATIONS AND INEQUALITIES This unit investigates linear equations and inequalities. Students create linear equations and inequalities and use them to solve problems. They
More informationHW Unit 7: Connections (Graphs, Equations and Inequalities)
Math Fundamentals for Statistics I (Math 5) HW Unit 7: Connections (Graphs, Equations and Inequalities) By Scott Fallstrom and Brent Pickett The How and Whys Guys This work is licensed under a Creative
More informationUnit 5 Test Review Systems of Linear Equations Name Class Date
Unit 5 Test Review Systems of Linear Equations Name Class Date Find the mistake - The following problems have been solved HOWEVER there could be a mistake. Each question is worth 3 points: 1pt the mistake,
More informationIntroduction: the plague. The Scaling Laws Of Human Travel. Introduction: SARS (severe acute respiratory syndrom)
The Scaling Laws Of Human Travel Verena Zuber Department of Statistics University of Munich 7. July 2006 Introduction: the plague highly infectious disease several pandemics have influenced the human history
More informationScaling Laws in Complex Systems
Complexity and Analogy in Science Pontifical Academy of Sciences, Acta 22, Vatican City 2014 www.pas.va/content/dam/accademia/pdf/acta22/acta22-muradian.pdf Scaling Laws in Complex Systems RUDOLF MURADYAN
More informationRandom Networks. Complex Networks, CSYS/MATH 303, Spring, Prof. Peter Dodds
Complex Networks, CSYS/MATH 303, Spring, 2010 Prof. Peter Dodds Department of Mathematics & Statistics Center for Complex Systems Vermont Advanced Computing Center University of Vermont Licensed under
More informationP ( z 0.75)
BUS 172 Section 5, Spring 2013 Assignment # 6 Deadline: Your assignment must be submitted/ emailed on or before 1:00 PM, 14 th March, 2013. Late submission will be penalized by 10% for every day after
More informationExam 3 April 16, 2014
Exam 3 Instructions: You have 60 minutes to complete this exam. This is a closed-book, closed-notes exam. You are allowed to use a calculator during the exam. Usage of mobile phones and other electronic
More informationRegional Performance Measures
G Performance Measures Regional Performance Measures Introduction This appendix highlights the performance of the MTP/SCS for 2035. The performance of the Revenue Constrained network also is compared to
More informationRegional Performance Measures
G Performance Measures Regional Performance Measures Introduction This appendix highlights the performance of the MTP/SCS for 2035. The performance of the Revenue Constrained network also is compared to
More informationSystems of Equations Unit Five ONE NONE INFINITE
Systems of Equations Unit Five ONE NONE INFINITE Standards: 8.EE.8 Analyze and solve pairs of simultaneous linear equations. a. Understand that solutions to a system of two linear equations in two variables
More informationYour Virtual Workforce. On Demand. Worldwide. COMPANY PRESENTATION. clickworker GmbH 2017
Your Virtual Workforce. On Demand. Worldwide. COMPANY PRESENTATION 2017 CLICKWORKER AT A GLANCE Segment: Paid Crowdsourcing / Microtasking Services: Text Creation (incl. SEO Texts), AI-Training Data, Internet
More informationTomás Eiró Luis Miguel Martínez José Manuel Viegas
Acknowledgm ents Tomás Eiró Luis Miguel Martínez José Manuel Viegas Instituto Superior Técnico, Lisboa WSTLUR 2011 Whistler, 29 July 2011 Introduction Background q Spatial interactions models are a key
More informationWahkiakum School District, Pre-EOC Algebra
Pre-EOC Assessment Algebra1 #2 Wahkiakum School District ALG1 Page 1 1. Order the following numbers from least to greatest: a. 19 2, 3π, 8.7 100, 62 3π, 62, 8.7 10 0, 19 2 b. 62, 8.7 10 0, 3π, 19 2 c.
More informationUrban characteristics attributable to density-driven tie formation
Supplementary Information for Urban characteristics attributable to density-driven tie formation Wei Pan, Gourab Ghoshal, Coco Krumme, Manuel Cebrian, Alex Pentland S-1 T(ρ) 100000 10000 1000 100 theory
More informationMath 1314 Lesson 19: Numerical Integration
Math 1314 Lesson 19: Numerical Integration For more complicated functions, we will use GeoGebra to find the definite integral. These will include functions that involve the exponential function, logarithms,
More informationAccounting for inertia in modal choices:
Workshop on Discrete Choice Models EPFL, Lausanne - August 2010 Accounting for inertia in modal choices: Some new evidence using RP/SP dataset Content of the presentation Backgrounds Modal choice model
More informationChapter 4 Formulas and Negative Numbers
Chapter 4 Formulas and Negative Numbers Section 4A Negative Quantities and Absolute Value Introduction: Negative numbers are very useful in our world today. In the stock market, a loss of $2400 can be
More informationValidating general human mobility patterns on massive GPS data
Validating general human mobility patterns on massive GPS data Luca Pappalardo, Salvatore Rinzivillo, Dino Pedreschi, and Fosca Giannotti KDDLab, Institute of Information Science and Technologies (ISTI),
More information2007 First-Class Mail Rates for Flats* Weight (oz) Rate (dollars) Weight (oz) Rate (dollars)
Lesson 3-9 Step Functions BIG IDEA Step functions have applications in many situations that involve rounding. In 2007, the U.S. postage rate for first class flats (certain large envelopes) was $0.70 for
More informationEstimating Large Scale Population Movement ML Dublin Meetup
Deutsche Bank COO Chief Data Office Estimating Large Scale Population Movement ML Dublin Meetup John Doyle PhD Assistant Vice President CDO Research & Development Science & Innovation john.doyle@db.com
More informationSample. Contents SECTION 1: PLACE NAMES 6 SECTION 2: CONNECTING TO PLACES 21 SECTION 3: SPACES: NEAR AND FAR 53
Contents Teachers' Notes 4 National Curriculum Links 5 SECTION 1: PLACE NAMES 6 Teachers' Notes 7-8 Activities Names Of Places 9 Place Names Are Important 1 10 Place Names Are Important 2 11 The Meanings
More informationLecture notes for /12.586, Modeling Environmental Complexity. D. H. Rothman, MIT September 24, Anomalous diffusion
Lecture notes for 12.086/12.586, Modeling Environmental Complexity D. H. Rothman, MIT September 24, 2014 Contents 1 Anomalous diffusion 1 1.1 Beyond the central limit theorem................ 2 1.2 Large
More informationNEW ENGLAND COMMON ASSESSMENT PROGRAM
NEW ENGLAND COMMON ASSESSMENT PROGRAM Released Items Support Materials 2009 Grade 11 Mathematics N&O 10.2 Demonstrates understanding of the relative magnitude of real numbers by solving problems involving
More informationPrinciples of Complex Systems CSYS/MATH 300, Fall, Prof. Peter Dodds
Principles of Complex Systems CSYS/MATH, Fall, Prof. Peter Dodds Department of Mathematics & Statistics Center for Complex Systems Vermont Advanced Computing Center University of Vermont Licensed under
More informationName Class Date. Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved.
Practice - Solving Two-Step Equations Solve each equation. Check your answer.. a +. +. b +. 9 + t. a +. -t + Write an equation to model each situation. Then solve.. You want to buy a bouquet of yellow
More informationx 2 + x + x 2 x 3 b. x 7 Factor the GCF from each expression Not all may be possible. 1. Find two numbers that sum to 8 and have a product of 12
Factor the GCF from each expression 4 5 1. 15x 3x. 16x 4 Name: a. b. 4 7 3 6 5 3. 18x y 36x y 4x y 5 4. 3x x 3 x 3 c. d. Not all may be possible. 1. Find two numbers that sum to 8 and have a product of
More informationEncapsulating Urban Traffic Rhythms into Road Networks
Encapsulating Urban Traffic Rhythms into Road Networks Junjie Wang +, Dong Wei +, Kun He, Hang Gong, Pu Wang * School of Traffic and Transportation Engineering, Central South University, Changsha, Hunan,
More informationTown of Davie B-2 (Community Business) Zoning:
Town of Davie B-2 (Community Business) Zoning: Commercial Conservation Districts: These districts are intended to preserve the character of existing nonresidential or commercial areas, neighborhoods and
More informationSun Signs By Linda Goodman READ ONLINE
Sun Signs By Linda Goodman READ ONLINE Find how to type sun signs directly from your keyboard. You can put them in Facebook, Youtube or Myspace. Ways to type sun symbols, their's unicode entities and more.
More informationAlgebra: Unit 3 Review
Name: Date: Class: Algebra: Unit 3 Review 1) A company that manufactures radios first pays a start-up cost, and then spends a certain amount of money to manufacture each radio. If the cost of manufacturing
More informationExplain the mathematical processes of the function, and then reverse the process to explain the inverse.
Lesson 8: Inverse Functions Outline Inverse Function Objectives: I can determine whether a function is one-to-one when represented numerically, graphically, or algebraically. I can determine the inverse
More informationPart 2 Practise Your Skills
Part 2 Practise Your Skills In this section of Learn Smart, you will have the opportunity to use a wide variety of reading strategies read and understand different texts and visual information ask questions,
More informationSection 5: Ratios and Proportions
Section 5: Ratios and Proportions 5. Ratios There are several ways of comparing the sizes of similar quantities. A bar of chocolates was divided into 2 pieces. Ramani ate pieces and Dilan ate the remaining
More informationSpatiotemporal Patterns of Urban Human Mobility
Spatiotemporal Patterns of Urban Human Mobility The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. Citation As Published Publisher Hasan,
More information1.1 The Language of Algebra 1. What does the term variable mean?
Advanced Algebra Chapter 1 - Note Taking Guidelines Complete each Now try problem after studying the corresponding example from the reading 1.1 The Language of Algebra 1. What does the term variable mean?
More informationA universal model for mobility and migration patterns
A universal model for mobility and migration patterns US migrations image by Mauro Martino www.mamartino.com Filippo Simini 1,2,3, Marta C. González 4, Amos Maritan 2, and Albert-László Barabási 1 1 Center
More informationSPACE-TIME ACCESSIBILITY MEASURES FOR EVALUATING MOBILITY-RELATED SOCIAL EXCLUSION OF THE ELDERLY
SPACE-TIME ACCESSIBILITY MEASURES FOR EVALUATING MOBILITY-RELATED SOCIAL EXCLUSION OF THE ELDERLY Izumiyama, Hiroshi Institute of Environmental Studies, The University of Tokyo, Tokyo, Japan Email: izumiyama@ut.t.u-tokyo.ac.jp
More informationCalifornia Urban Infill Trip Generation Study. Jim Daisa, P.E.
California Urban Infill Trip Generation Study Jim Daisa, P.E. What We Did in the Study Develop trip generation rates for land uses in urban areas of California Establish a California urban land use trip
More informationSimple Spatial Growth Models The Origins of Scaling in Size Distributions
Lectures on Spatial Complexity 17 th 28 th October 2011 Lecture 3: 21 st October 2011 Simple Spatial Growth Models The Origins of Scaling in Size Distributions Michael Batty m.batty@ucl.ac.uk @jmichaelbatty
More informationMaterials: Hw #9-6 answers handout; Do Now and answers overhead; Special note-taking template; Pair Work and answers overhead; hw #9-7
Pre-AP Algebra 2 Unit 9 - Lesson 7 Compound Interest and the Number e Objectives: Students will be able to calculate compounded and continuously compounded interest. Students know that e is an irrational
More informationLecture Presentation Chapter 1 Representing Motion
Lecture Presentation Chapter 1 Representing Motion Chapter Assignment # s 65, 67, & RT-2 Chapter Goal: To introduce the fundamental concepts of motion and to review related basic mathematical principles.
More informationIntroduction to Kinematics. Motion, Forces and Energy
Introduction to Kinematics Motion, Forces and Energy Mechanics: The study of motion Kinematics The description of how things move 1-D and 2-D motion Dynamics The study of the forces that cause motion Newton
More informationC. 3 PRACTICE FINAL EXAM. 1. Simplify B. 2. D. E. None of the above. 2. Factor. completely. E. None of the above. 3.
MA 1500 1. Simplify ; A. B. 2 C. 2. Factor 8 completely. A. x y x + y B. x 2y C. 2x y 2x + y 2x y. Simplify ( ) ; A. a b c B. C. a b c a b 6c c a b 1 MA 1500 4. Subtract and simplify. + 2 A. x: x ; x;
More informationPower Laws in Tourist Flows
Power Laws in Tourist Flows Calvin Blackwell, Ph.D. Department of Economics & Finance School of Business College of Charleston 66 George Street, Charleston, SC 29424, USA Phone: 001-843-953-7836 Fax: 001-843-953-5697
More informationTEST. Name: A. $600 B. $1,200 C. $2,400 D. $3,600
TEST 1. The graph shows two savings plans. If the same savings rates are continued, what will be the difference in the amount saved at the end of two years? A. $600 B. $1,200 C. $2,400 D. $3,600 2. Which
More information4) Solve for this system using your graphing
Algebra Unit 5 HW Day 1 SOLVING GRAPHICALLY Graph the following systems: 1) x 2y 12 y 2x 6 2) y x 2 6x 2y 10 ) x y 9 4) Solve for this system using your graphing x calculator. [You will still need to put
More informationWhat is Motion? any physical movement or change in position or place, relative to a reference point. Movement. Reference Point
Motion What is Motion? any physical movement or change in position or place, relative to a reference point Movement Reference Point Distance = how far an object has moved. Measured in meters, kilometers
More informationChapter 5 Test Review
Chapter 5 Test Review Algebra 1 CP Name: Hour: Write an equation in slope-intercept form of the line that passes through the given point and has the given slope m. 1. (-, -8); m = 3. (1, 1); m = - 3. (-1,
More informationSnow Cover. Snow Plowing and Removal Services Best Practices Guide. l
Snow Cover Snow Plowing and Removal Services Best Practices Guide 2015 2016 www.hortica.com l 800.851.7740 During a recent trip to upstate NY, Hortica Loss Control representatives met with several insureds
More informationPlace Syntax Tool (PST)
Place Syntax Tool (PST) Alexander Ståhle To cite this report: Alexander Ståhle (2012) Place Syntax Tool (PST), in Angela Hull, Cecília Silva and Luca Bertolini (Eds.) Accessibility Instruments for Planning
More informationFriendship and Mobility: User Movement In Location-Based Social Networks. Eunjoon Cho* Seth A. Myers* Jure Leskovec
Friendship and Mobility: User Movement In Location-Based Social Networks Eunjoon Cho* Seth A. Myers* Jure Leskovec Outline Introduction Related Work Data Observations from Data Model of Human Mobility
More informationLinear Models Practice EOC Practice Standard A-CED.2
Linear Models Practice EOC Practice Standard A-CED.2 6. An ice cream shop charges $1 for a cone and $2 per scoop of ice cream. Which equation models the cost of an ice cream cone, y, with x scoops of ice
More informationANSWERS, Homework Problems, Spring 2014 Now You Try It, Supplemental problems in written homework, Even Answers R.6 8) 27, 30) 25
ANSWERS, Homework Problems, Spring 2014, Supplemental problems in written homework, Even Answers Review Assignment: Precalculus Even Answers to Sections R1 R7 R.1 24) 4a 2 16ab + 16b 2 R.2 24) Prime 5x
More informationSenior Exam Page 1 of How many Februarys since 1900 have had five Saturdays?
Senior Exam Page 1 of 5 1. How many Februarys since 1900 have had five Saturdays? (1) 4 (2) 5 (3) 6 (4) 7 2. The base b numbers 13, 42, and 101 are in arithmetic progression. Find b. (1) 6 (2) 7 (3) 8
More informationUnit 1 A.CED.1 One step Inequalities September 22, 2015
Answer: Journal Prompt Cristina was working on a multi step problem but she made a mistake. Find the error and explain how she could fix it. 3 x 6 + 4 x + 1 = 7x 10 3x 6 + 4x + 4 = 7x 10 x 2 = 7x 10 +2
More informationMath 9: Review for final
Lesson 1.1: Square Roots of Perfect Squares 1. Use each diagram to determine the value of the square root. 1 a) b) 0.16 9 2. Which numbers below are perfect squares? How do you know? a) 25 121 b) 2.89
More informationExtracting mobility behavior from cell phone data DATA SIM Summer School 2013
Extracting mobility behavior from cell phone data DATA SIM Summer School 2013 PETER WIDHALM Mobility Department Dynamic Transportation Systems T +43(0) 50550-6655 F +43(0) 50550-6439 peter.widhalm@ait.ac.at
More informationSocial and Technological Network Analysis: Spatial Networks, Mobility and Applications
Social and Technological Network Analysis: Spatial Networks, Mobility and Applications Anastasios Noulas Computer Laboratory, University of Cambridge February 2015 Today s Outline 1. Introduction to spatial
More informationEureka Math. Grade 8, Module 5. Student File_B. Contains Exit Ticket and Assessment Materials
A Story of Ratios Eureka Math Grade 8, Module 5 Student File_B Contains Exit Ticket and Assessment Materials Published by the non-profit Great Minds. Copyright 2015 Great Minds. No part of this work may
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
AP Test 13 Review Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Compared to the United States, poor families in European cities are more
More informationUsing Social Media for Geodemographic Applications
Using Social Media for Geodemographic Applications Muhammad Adnan and Guy Lansley Department of Geography, University College London @gisandtech @GuyLansley Web: http://www.uncertaintyofidentity.com Outline
More informationLocation does not matter in the informational age? a case study on the distribution of restaurants listed in dazhongdianping in Beijing
Beijing City Lab SHENG Qiang, LI Miaoyi, ZHANG Xingyi, 2015, Location does not matter in the informational age? a case study on the distribution of restaurants listed in dazhongdianping in Beijing. Beijing
More informationPre-Algebra 8 Semester 2 Practice Exam A
1. A right triangle is shown below. What is the value of x? (A) 6 (B) 9 12 (C) 4 (D) 81 1 x Figure is not drawn to scale. 4. Which of the following measurements represent a right triangle? (A) (B) I.,
More informationA C E. Applications. Applications Connections Extensions. Student 1 Student Below are some results from the bridge experiment in a CMP class.
A C E Applications Connections Extensions Applications 1. Below are some results from the bridge experiment in a CMP class. Bridge-Thickness Experiment Number of Layers 2 4 6 8 Breaking Weight (pennies)
More informationModeling face-to-face social interaction networks
Modeling face-to-face social interaction networks Romualdo Pastor-Satorras Dept. Fisica i Enginyería Nuclear Universitat Politècnica de Catalunya Spain http://www.fen.upc.edu/~romu Work done in collaboration
More informationLogic and Proofs 1. 1 Overview. 2 Sentential Connectives. John Nachbar Washington University December 26, 2014
John Nachbar Washington University December 26, 2014 Logic and Proofs 1 1 Overview. These notes provide an informal introduction to some basic concepts in logic. For a careful exposition, see, for example,
More informationCh 1. The Language of Algebra
Ch 1 The Language of Algebra 1-1 Writing Expressions and Equations Writing Expressions Buying CDs: 1 CD = $15 2 CD = $15 x 2 3 CD = $15 x 3 n number of CDs? $15 x n Algebraic Expression Writing Expressions
More informationChicago sun times horoscopes today
3 days ago. Aries (March 21-April 19). Today Mercury enters your sign to stay for the next 10 weeks. (This is unusual because it normally stays in one sign for only three weeks.) This means you feel the
More informationToo Close for Comfort
Too Close for Comfort Overview South Carolina consists of urban, suburban, and rural communities. Students will utilize maps to label and describe the different land use classifications. Connection to
More informationCollege Algebra. Word Problems
College Algebra Word Problems Example 2 (Section P6) The table shows the numbers N (in millions) of subscribers to a cellular telecommunication service in the United States from 2001 through 2010, where
More informationDiscovering Urban Spatial-Temporal Structure from Human Activity Patterns
ACM SIGKDD International Workshop on Urban Computing (UrbComp 2012) Discovering Urban Spatial-Temporal Structure from Human Activity Patterns Shan Jiang, shanjang@mit.edu Joseph Ferreira, Jr., jf@mit.edu
More information12-1 Graphing Linear Equations. Warm Up Problem of the Day Lesson Presentation. Course 3
Warm Up Problem of the Day Lesson Presentation Warm Up Solve each equation for y. 1. 6y 1x = 4. y 4x = 0 3. y 5x = 16 4. 3y + 6x = 18 y = x + 4 y = x 10 y = 5 x + 8 y = x + 6 Problem of the Day The same
More informationFunctions and Linear Functions Review
Class: Date: Functions and Linear Functions Review 1. Fill in the following diagram using the words: Function Rule, Equation, Input, Output, Domain, Range, X value, Y value, Indenpendent variable, and
More informationSupplementary Figures
Supplementary Figures 10 1 Roma Milano Napoli Torino Palermo Genova 0.3 0.25 (a) P(t) 10 1 (b) t (h) 0.2 0 0.2 0.4 0.6 0.8 1 t (h) 0.15 10 4 10 5 10 6 10 7 Population Supplementary Figure 1: Variation
More informationAlgebra I Practice Exam
Algebra I This practice assessment represents selected TEKS student expectations for each reporting category. These questions do not represent all the student expectations eligible for assessment. Copyright
More information3. If a coordinate is zero the point must be on an axis. If the x-coordinate is zero, where will the point be?
Chapter 2: Equations and Inequalities Section 1: The Rectangular Coordinate Systems and Graphs 1. Cartesian Coordinate System. 2. Plot the points ( 3, 5), (4, 3), (3, 4), ( 3, 0) 3. If a coordinate is
More informationImplementing Visual Analytics Methods for Massive Collections of Movement Data
Implementing Visual Analytics Methods for Massive Collections of Movement Data G. Andrienko, N. Andrienko Fraunhofer Institute Intelligent Analysis and Information Systems Schloss Birlinghoven, D-53754
More informationChapter 2 Modeling with Linear Functions
Chapter Modeling with Linear Functions Homework.1. a. b. c. When half of Americans send in their tax returns, p equals 50. When p equals 50, t is approximately 10. Therefore, when half of Americans sent
More informationAIR FORCE RESEARCH LABORATORY Directed Energy Directorate 3550 Aberdeen Ave SE AIR FORCE MATERIEL COMMAND KIRTLAND AIR FORCE BASE, NM
AFRL-DE-PS-JA-2007-1004 AFRL-DE-PS-JA-2007-1004 Noise Reduction in support-constrained multi-frame blind-deconvolution restorations as a function of the number of data frames and the support constraint
More informationLearning Goal 11.2: Scatterplots & Regression
Name: ate: 1. Which graph represents data used in a linear regression that produces a correlation coefficient closest to 1? 3. Which equation most closely represents the line of best fit for the scatter
More informationLecture 11 September 30, 2015
PHYS 7895: Quantum Information Theory Fall 015 Lecture 11 September 30, 015 Prof. Mark M. Wilde Scribe: Mark M. Wilde This document is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike
More informationThe Top 11 Keystones of Algebra 1
The Top 11 Keystones of Algebra 1 The Top Eleven Keystones of Algebra 1 You should be able to 1) Simplify a radical expression. 2) Solve an equation. 3) Solve and graph an inequality on a number line.
More information8th Grade Standards for Algebra Readiness Solve one-variable linear equations. 3. d 8 = 6 4. = 16 5.
Solve one-variable linear equations. 1. g 7 = 15 2. p 1 3 = 2 3 3. d 8 = 6 4. 2r 3 = 16 5. 3r 4 = 1 8 6. 4x + 7 = 11 7. 13 = h 7 8. 2(b + 5) = 6 9. 5(r 1) = 2(r 4) 6 Solve one- and two-step linear inequalities
More informationAlgebra 1, Chapter 4 Post Test
Class: Date: Algebra 1, Chapter 4 Post Test Review 4.1.1: I can represent mathematical relationships using graphs. 1. (2 points) Sketch a graph of the speed of a city bus on a daily route. Label each section.
More informationMy Map Activity MINNESOTA SOCIAL STUDIES STANDARDS & BENCHMARKS
My Map Activity OVERVIEW & OBJECTIVES Students will learn the basics of Google Maps while using geospatial data to create their neighborhood map with the places they spend time. They will also collect
More information