Context-aware Wireless Networks: Exploiting Mobility. Andrew Leeming The University of Manchester

Size: px
Start display at page:

Download "Context-aware Wireless Networks: Exploiting Mobility. Andrew Leeming The University of Manchester"

Transcription

1 Cntext-wre Wireless Netwrks: Expliting Mbility Andrew Leeming The University f Mnchester

2 Cntext Mtters 4 0th 201 Thurs 1 y d T Dily 0p! n! m w lderly til icing r dipis nsectetu re et met, c didunt ut lb t si r l inci nim, ipsum d tempr inim ve m d d Lrem ut sm d eiu t enim ris nisi elit, sed gn liqu. U ullmc lb irure te u n m is ti u dlre exercit cnsequt. D e cillum strud quis n velit ess mmd x e c rit in vluptte e ip u liq nde reprehe dlr in Fnc Dy A He s y dre in the ss sh fter Fri 11 th p! p rb re s mew ber her Lrem elit, s ipsum dl ed r dlre d eiusm sit met, c d te mgn quis mpr nsectetur nstr liqu. incidid dipis ud e U liquip icing unt t enim xerc d m ut lbre dlr ex e cm ittin u et in im ve llmc in rep m d lb cn nim, rehen s derit in vlu equt. Du ris nisi u t is ptte liqum velit e ute irure gnm sse c re m nim, il l ve lu d m t im bre e d min suscipit t ut l m. Ut enim crpris incidun luptte mmdi m ullm v c e n t r ti e e rcit x qu rum exe ut liquid e l eum iure st n is ve qu i m? m, nis utem esse qu lbris r? Quis te velit utu vlupt e in cnseq i u nderit q reprehe ls e g l i k l r i G l missin Shes s Dily e incidu n que t ut lb rt v lupt re et d quis lre te nstr mgn um e m. Ut e lbri nim xerc sm d m m liqu, nis ittinem cnse i ut ullm inim ve m qutu n r? repre Quis liquid e crpris s im, hend erit q uscip x e ute ui in e cmm it vlu m vel d ptte velit e eum iu i re sse q um? 1

3 Cntext Mtters 4 0th 201 Thurs 1 y d T Dily 0p! n! m w lderly til icing r dipis nsectetu re et met, c didunt ut lb t si r l inci nim, ipsum d tempr inim ve m d d Lrem ut sm d eiu t enim ris nisi elit, sed gn liqu. U ullmc lb irure te u n m is ti u dlre exercit cnsequt. D e cillum strud quis n velit ess mmd x e c rit in vluptte e ip u liq nde reprehe dlr in Fnc Dy A He s y dre in the ss sh fter Fri 11 th p! p rb re s mew ber her Lrem elit, s ipsum dl ed r dlre d eiusm sit met, c d te mgn quis mpr nsectetur nstr liqu. incidid dipis ud e U liquip icing unt t enim xerc d m ut lbre dlr ex e cm ittin u et in im ve llmc in rep m d lb cn nim, rehen s derit in vlu equt. Du ris nisi u t is ptte liqum velit e ute irure gnm sse c re m nim, il l ve lu d m t im bre e d min suscipit t ut l m. Ut enim crpris incidun luptte mmdi m ullm v c e n t r ti e e rcit x qu rum exe ut liquid e l eum iure st n is ve qu i m? m, nis utem esse qu lbris r? Quis te velit utu vlupt e in cnseq i u nderit q reprehe ls e g l i k l r i G l missin Shes s Dily e incidu n que t ut lb rt v lupt re et d quis lre te nstr mgn um e m. Ut e lbri nim xerc sm d m m liqu, nis ittinem cnse i ut ullm inim ve m qutu n r? repre Quis liquid e crpris s im, hend erit q uscip x e ute ui in e cmm it vlu m vel d ptte velit e eum iu i re sse q um? 1

4 Scenris Undergrund r Bsement Hell? 2

5 Scenris Undergrund r Bsement Hell? High-speed Trnsprt 2

6 Current Scnning Frequencies Active scns every secnds[1] Per sved netwrk (mx 16 fr Andrid) LTE Scns nce every ~5mins Wsted energy if in previus scenris 3

7 Future Adptive scnning intervl Opprtunistic ctive scns Only prbe subset f sved netwrks Seen tgether APs Predictive hndver Histricl hndvers used 4

8 Mbility Lctin Scil Interctin Pssible Cntexts Envirnmentl Usge 5

9 Mbility Cntext 1) Nne - Yu re nt mving nd yur envirnment is nt chnging (ignring fding etc). Scn less frequent, r nt t ll? 3) High - Yu re trvelling t high speed (reltive t the wrld). Shuld we scn t ll t these speeds? Wht but stpping t sttin?[2] 2) Mderte - Yu re mving cnsiderbly, the envirnment rund yu is chnging. Frequent scns needed. 6

10 Mesuring Mbility Optins 1. Velcity Gives us quntified metric 2. Ctegristin vi Clssifier Binry, i.e. Significnt mvement Types f mvement, e.g. Nne, mderte, high. 7

11 Mesuring Mbility Pssibilities 1. Velcity Gives us mre infrmtin Gives us quntified metric 2. Ctegristin vi Clssifier Binry, i.e. Significnt mvement Types f mvement, e.g. Nne, mderte, high. 7

12 Hw t cllect GPS Accelermeter Tringultin 8

13 Hw t cllect Nt relible indrs GPS Requires sme cnnectin Bse sttin lctins need t be knwn Accelermeter Tringultin Nisy 8

14 Hw t cllect GPS Avilbility? Accelermeter Tringultin 8

15 Integrting Accelermeters Simple integrl Right? 9

16 Integrting Accelermeters Simple integrl Right? Accelermeters re nisy Nt gd ide t integrte nise Prblem knwn but Little evidence t bck up clims 9

17 Experiment Simplified experiment Only using ne xis Orienttin knwn Burst f ccelertin t beginning Recrded verge velcity (m/s) = distnce/time Rw Accelertin Filtering Integrtin Clculte Errr 10

18 11

19 12

20 13

21 Wrking Hw d results cmpre t wlking dt? Multiple xis Cnstnt chnge f rienttin Need t fctr in grvity 14

22 Wrking Hw d results cmpre t wlking dt? Multiple xis Cnstnt chnge f rienttin Need t fctr in grvity Errr is ver 1000% predicted-expected Errr = expected 14

23 Experiment - Cnclusins Getting velcity frm ccelermeters is hrd Experimentl dt t bckup previus clims. Will clssifiers wrk better? Mybe - Sme crreltin, pply regressin Accelermeters re nt useless Repeting pttern in wlking dt (steps) Use number f steps s level f mbility? 15

24 Questins

Differentiation Applications 1: Related Rates

Differentiation Applications 1: Related Rates Differentiatin Applicatins 1: Related Rates 151 Differentiatin Applicatins 1: Related Rates Mdel 1: Sliding Ladder 10 ladder y 10 ladder 10 ladder A 10 ft ladder is leaning against a wall when the bttm

More information

Physics 102. Final Examination. Spring Semester ( ) P M. Fundamental constants. n = 10P

Physics 102. Final Examination. Spring Semester ( ) P M. Fundamental constants. n = 10P ε µ0 N mp M G T Kuwit University hysics Deprtment hysics 0 Finl Exmintin Spring Semester (0-0) My, 0 Time: 5:00 M :00 M Nme.Student N Sectin N nstructrs: Drs. bdelkrim, frsheh, Dvis, Kkj, Ljk, Mrfi, ichler,

More information

Time, Synchronization, and Wireless Sensor Networks

Time, Synchronization, and Wireless Sensor Networks Time, Synchrnizatin, and Wireless Sensr Netwrks Part II Ted Herman University f Iwa Ted Herman/March 2005 1 Presentatin: Part II metrics and techniques single-hp beacns reginal time znes ruting-structure

More information

AP Statistics Practice Test Unit Three Exploring Relationships Between Variables. Name Period Date

AP Statistics Practice Test Unit Three Exploring Relationships Between Variables. Name Period Date AP Statistics Practice Test Unit Three Explring Relatinships Between Variables Name Perid Date True r False: 1. Crrelatin and regressin require explanatry and respnse variables. 1. 2. Every least squares

More information

TEST 3A AP Statistics Name: Directions: Work on these sheets. A standard normal table is attached.

TEST 3A AP Statistics Name: Directions: Work on these sheets. A standard normal table is attached. TEST 3A AP Statistics Name: Directins: Wrk n these sheets. A standard nrmal table is attached. Part 1: Multiple Chice. Circle the letter crrespnding t the best answer. 1. In a statistics curse, a linear

More information

Cambridge Assessment International Education Cambridge Ordinary Level. Published

Cambridge Assessment International Education Cambridge Ordinary Level. Published Cambridge Assessment Internatinal Educatin Cambridge Ordinary Level ADDITIONAL MATHEMATICS 4037/1 Paper 1 Octber/Nvember 017 MARK SCHEME Maximum Mark: 80 Published This mark scheme is published as an aid

More information

PROJECT TITLE. B.Tech. BRANCH NAME NAME 2 (ROLL NUMBER)

PROJECT TITLE. B.Tech. BRANCH NAME NAME 2 (ROLL NUMBER) PROJECT TITLE A thesis submitted in partial fulfillment of the requirements for the award of the degree of B.Tech. in BRANCH NAME By NAME 1 (ROLL NUMBER) NAME 2 (ROLL NUMBER) DEPARTMENT OF DEPARTMENT NAME

More information

This section is primarily focused on tools to aid us in finding roots/zeros/ -intercepts of polynomials. Essentially, our focus turns to solving.

This section is primarily focused on tools to aid us in finding roots/zeros/ -intercepts of polynomials. Essentially, our focus turns to solving. Sectin 3.2: Many f yu WILL need t watch the crrespnding vides fr this sectin n MyOpenMath! This sectin is primarily fcused n tls t aid us in finding rts/zers/ -intercepts f plynmials. Essentially, ur fcus

More information

1 Probability Density Functions

1 Probability Density Functions Lis Yn CS 9 Continuous Distributions Lecture Notes #9 July 6, 28 Bsed on chpter by Chris Piech So fr, ll rndom vribles we hve seen hve been discrete. In ll the cses we hve seen in CS 9, this ment tht our

More information

Internal vs. external validity. External validity. This section is based on Stock and Watson s Chapter 9.

Internal vs. external validity. External validity. This section is based on Stock and Watson s Chapter 9. Sectin 7 Mdel Assessment This sectin is based n Stck and Watsn s Chapter 9. Internal vs. external validity Internal validity refers t whether the analysis is valid fr the ppulatin and sample being studied.

More information

The Fundamental Theorem of Calculus. The Total Change Theorem and the Area Under a Curve.

The Fundamental Theorem of Calculus. The Total Change Theorem and the Area Under a Curve. Clculus Li Vs The Fundmentl Theorem of Clculus. The Totl Chnge Theorem nd the Are Under Curve. Recll the following fct from Clculus course. If continuous function f(x) represents the rte of chnge of F

More information

Hypothesis Tests for One Population Mean

Hypothesis Tests for One Population Mean Hypthesis Tests fr One Ppulatin Mean Chapter 9 Ala Abdelbaki Objective Objective: T estimate the value f ne ppulatin mean Inferential statistics using statistics in rder t estimate parameters We will be

More information

PRINCE SULTAN UNIVERSITY Department of Mathematical Sciences Final Examination First Semester ( ) STAT 271.

PRINCE SULTAN UNIVERSITY Department of Mathematical Sciences Final Examination First Semester ( ) STAT 271. PRINCE SULTAN UNIVERSITY Deprtment f Mthemticl Sciences Finl Exmintin First Semester (007 008) STAT 71 Student Nme: Mrk Student Number: Sectin Number: Techer Nme: Time llwed is ½ hurs. Attendnce Number:

More information

Brand guidelines 2014

Brand guidelines 2014 Brand guidelines 2014 // master logo // master logo & alternative colour breakdowns Blue C: 100 M: 95 Y: 5 K: 0 R: 43 G: 57 B: 144 #2b3990 // master logo - alternate colourful version // master logo -

More information

Trigonometric Ratios Unit 5 Tentative TEST date

Trigonometric Ratios Unit 5 Tentative TEST date 1 U n i t 5 11U Date: Name: Trignmetric Ratis Unit 5 Tentative TEST date Big idea/learning Gals In this unit yu will extend yur knwledge f SOH CAH TOA t wrk with btuse and reflex angles. This extensin

More information

A L A BA M A L A W R E V IE W

A L A BA M A L A W R E V IE W A L A BA M A L A W R E V IE W Volume 52 Fall 2000 Number 1 B E F O R E D I S A B I L I T Y C I V I L R I G HT S : C I V I L W A R P E N S I O N S A N D TH E P O L I T I C S O F D I S A B I L I T Y I N

More information

P a g e 5 1 of R e p o r t P B 4 / 0 9

P a g e 5 1 of R e p o r t P B 4 / 0 9 P a g e 5 1 of R e p o r t P B 4 / 0 9 J A R T a l s o c o n c l u d e d t h a t a l t h o u g h t h e i n t e n t o f N e l s o n s r e h a b i l i t a t i o n p l a n i s t o e n h a n c e c o n n e

More information

AP Physics Kinematic Wrap Up

AP Physics Kinematic Wrap Up AP Physics Kinematic Wrap Up S what d yu need t knw abut this mtin in tw-dimensin stuff t get a gd scre n the ld AP Physics Test? First ff, here are the equatins that yu ll have t wrk with: v v at x x

More information

Churn Prediction using Dynamic RFM-Augmented node2vec

Churn Prediction using Dynamic RFM-Augmented node2vec Churn Predictin using Dynamic RFM-Augmented nde2vec Sandra Mitrvić, Jchen de Weerdt, Bart Baesens & Wilfried Lemahieu Department f Decisin Sciences and Infrmatin Management, KU Leuven 18 September 2017,

More information

Riemann is the Mann! (But Lebesgue may besgue to differ.)

Riemann is the Mann! (But Lebesgue may besgue to differ.) Riemnn is the Mnn! (But Lebesgue my besgue to differ.) Leo Livshits My 2, 2008 1 For finite intervls in R We hve seen in clss tht every continuous function f : [, b] R hs the property tht for every ɛ >

More information

Introduction to Three-phase Circuits. Balanced 3-phase systems Unbalanced 3-phase systems

Introduction to Three-phase Circuits. Balanced 3-phase systems Unbalanced 3-phase systems Intrductin t Three-hse Circuits Blnced 3-hse systems Unblnced 3-hse systems 1 Intrductin t 3-hse systems Single-hse tw-wire system: Single surce cnnected t ld using tw-wire system Single-hse three-wire

More information

7.1 Integral as Net Change and 7.2 Areas in the Plane Calculus

7.1 Integral as Net Change and 7.2 Areas in the Plane Calculus 7.1 Integrl s Net Chnge nd 7. Ares in the Plne Clculus 7.1 INTEGRAL AS NET CHANGE Notecrds from 7.1: Displcement vs Totl Distnce, Integrl s Net Chnge We hve lredy seen how the position of n oject cn e

More information

Lab 1 The Scientific Method

Lab 1 The Scientific Method INTRODUCTION The fllwing labratry exercise is designed t give yu, the student, an pprtunity t explre unknwn systems, r universes, and hypthesize pssible rules which may gvern the behavir within them. Scientific

More information

We know that if f is a continuous nonnegative function on the interval [a, b], then b

We know that if f is a continuous nonnegative function on the interval [a, b], then b 1 Ares Between Curves c 22 Donld Kreider nd Dwight Lhr We know tht if f is continuous nonnegtive function on the intervl [, b], then f(x) dx is the re under the grph of f nd bove the intervl. We re going

More information

Your appetizing introduction should consist of three important ingredients:

Your appetizing introduction should consist of three important ingredients: The Delicius Structure f an Essay I. Intrductry Paragraph: The Scintillating Appetizer Make yur readers salivate with desire t learn mre Yur appetizing intrductin shuld cnsist f three imprtant ingredients:

More information

(Communicated at the meeting of January )

(Communicated at the meeting of January ) Physics. - Establishment f an Abslute Scale fr the herm-electric Frce. By G. BOR ELlUS. W. H. KEESOM. C. H. JOHANSSON and J. O. LND E. Supplement N0. 69b t the Cmmunicatins frm the Physical Labratry at

More information

Kevin James. MTHSC 206 Section 13.2 Derivatives and Integrals of Vector

Kevin James. MTHSC 206 Section 13.2 Derivatives and Integrals of Vector MTHSC 206 Section 13.2 Derivtives nd Integrls of Vector Functions Definition Suppose tht r(t) is vector function. We define its derivtive by [ ] dr r(t + h) r(t) dt = r (t) = lim h 0 h Definition Suppose

More information

Physics 2010 Motion with Constant Acceleration Experiment 1

Physics 2010 Motion with Constant Acceleration Experiment 1 . Physics 00 Mtin with Cnstant Acceleratin Experiment In this lab, we will study the mtin f a glider as it accelerates dwnhill n a tilted air track. The glider is supprted ver the air track by a cushin

More information

You need to be able to define the following terms and answer basic questions about them:

You need to be able to define the following terms and answer basic questions about them: CS440/ECE448 Sectin Q Fall 2017 Midterm Review Yu need t be able t define the fllwing terms and answer basic questins abut them: Intr t AI, agents and envirnments Pssible definitins f AI, prs and cns f

More information

https://goo.gl/eaqvfo SUMMER REV: Half-Life DUE DATE: JULY 2 nd

https://goo.gl/eaqvfo SUMMER REV: Half-Life DUE DATE: JULY 2 nd NAME: DUE DATE: JULY 2 nd AP Chemistry SUMMER REV: Half-Life Why? Every radiistpe has a characteristic rate f decay measured by its half-life. Half-lives can be as shrt as a fractin f a secnd r as lng

More information

Flipping Physics Lecture Notes: Simple Harmonic Motion Introduction via a Horizontal Mass-Spring System

Flipping Physics Lecture Notes: Simple Harmonic Motion Introduction via a Horizontal Mass-Spring System Flipping Physics Lecture Ntes: Simple Harmnic Mtin Intrductin via a Hrizntal Mass-Spring System A Hrizntal Mass-Spring System is where a mass is attached t a spring, riented hrizntally, and then placed

More information

Getting Involved O. Responsibilities of a Member. People Are Depending On You. Participation Is Important. Think It Through

Getting Involved O. Responsibilities of a Member. People Are Depending On You. Participation Is Important. Think It Through f Getting Invlved O Literature Circles can be fun. It is exciting t be part f a grup that shares smething. S get invlved, read, think, and talk abut bks! Respnsibilities f a Member Remember a Literature

More information

Section 5.8 Notes Page Exponential Growth and Decay Models; Newton s Law

Section 5.8 Notes Page Exponential Growth and Decay Models; Newton s Law Sectin 5.8 Ntes Page 1 5.8 Expnential Grwth and Decay Mdels; Newtn s Law There are many applicatins t expnential functins that we will fcus n in this sectin. First let s lk at the expnential mdel. Expnential

More information

ENSC Discrete Time Systems. Project Outline. Semester

ENSC Discrete Time Systems. Project Outline. Semester ENSC 49 - iscrete Time Systems Prject Outline Semester 006-1. Objectives The gal f the prject is t design a channel fading simulatr. Upn successful cmpletin f the prject, yu will reinfrce yur understanding

More information

1 Techniques of Integration

1 Techniques of Integration November 8, 8 MAT86 Week Justin Ko Techniques of Integrtion. Integrtion By Substitution (Chnge of Vribles) We cn think of integrtion by substitution s the counterprt of the chin rule for differentition.

More information

Activity Guide Loops and Random Numbers

Activity Guide Loops and Random Numbers Unit 3 Lessn 7 Name(s) Perid Date Activity Guide Lps and Randm Numbers CS Cntent Lps are a relatively straightfrward idea in prgramming - yu want a certain chunk f cde t run repeatedly - but it takes a

More information

CLEAR SPACE AND MINIMUM SIZE. A clear space area free of competing visual elements should be maintained.

CLEAR SPACE AND MINIMUM SIZE. A clear space area free of competing visual elements should be maintained. BRAND TOOL KIT LOGO The preferred logoversion to use is on white background. Negative version is reversed (white) on a dark blue background. Also a black and white version is available for 1-colour print

More information

Anonymous Math 361: Homework 5. x i = 1 (1 u i )

Anonymous Math 361: Homework 5. x i = 1 (1 u i ) Anonymous Mth 36: Homewor 5 Rudin. Let I be the set of ll u (u,..., u ) R with u i for ll i; let Q be the set of ll x (x,..., x ) R with x i, x i. (I is the unit cube; Q is the stndrd simplex in R ). Define

More information

Admin. MDP Search Trees. Optimal Quantities. Reinforcement Learning

Admin. MDP Search Trees. Optimal Quantities. Reinforcement Learning Admin Reinfrcement Learning Cntent adapted frm Berkeley CS188 MDP Search Trees Each MDP state prjects an expectimax-like search tree Optimal Quantities The value (utility) f a state s: V*(s) = expected

More information

Three charges, all with a charge of 10 C are situated as shown (each grid line is separated by 1 meter).

Three charges, all with a charge of 10 C are situated as shown (each grid line is separated by 1 meter). Three charges, all with a charge f 0 are situated as shwn (each grid line is separated by meter). ) What is the net wrk needed t assemble this charge distributin? a) +0.5 J b) +0.8 J c) 0 J d) -0.8 J e)

More information

² Ý ² ª ² Þ ² Þ Ң Þ ² Þ. ² à INTROIT. huc. per. xi, sti. su- sur. sum, cum. ia : ia, ia : am, num. VR Mi. est. lis. sci. ia, cta. ia.

² Ý ² ª ² Þ ² Þ Ң Þ ² Þ. ² à INTROIT. huc. per. xi, sti. su- sur. sum, cum. ia : ia, ia : am, num. VR Mi. est. lis. sci. ia, cta. ia. str Dy Ps. 138 R 7 r r x, t huc t m m, l : p - í pr m m num m, l l : VR M rá s f ct st sc n -, l l -. Rpt nphn s fr s VR ftr ch vrs Ps. 1. D n, pr bá m, t c g ví m : c g ví ss s nm m m, t r r r c nm m

More information

1 PreCalculus AP Unit G Rotational Trig (MCR) Name:

1 PreCalculus AP Unit G Rotational Trig (MCR) Name: 1 PreCalculus AP Unit G Rtatinal Trig (MCR) Name: Big idea In this unit yu will extend yur knwledge f SOH CAH TOA t wrk with btuse and reflex angles. This extensin will invlve the unit circle which will

More information

1. Find the derivative of the following functions. a) f(x) = 2 + 3x b) f(x) = (5 2x) 8 c) f(x) = e2x

1. Find the derivative of the following functions. a) f(x) = 2 + 3x b) f(x) = (5 2x) 8 c) f(x) = e2x I. Dierentition. ) Rules. *product rule, quotient rule, chin rule MATH 34B FINAL REVIEW. Find the derivtive of the following functions. ) f(x) = 2 + 3x x 3 b) f(x) = (5 2x) 8 c) f(x) = e2x 4x 7 +x+2 d)

More information

CS 477/677 Analysis of Algorithms Fall 2007 Dr. George Bebis Course Project Due Date: 11/29/2007

CS 477/677 Analysis of Algorithms Fall 2007 Dr. George Bebis Course Project Due Date: 11/29/2007 CS 477/677 Analysis f Algrithms Fall 2007 Dr. Gerge Bebis Curse Prject Due Date: 11/29/2007 Part1: Cmparisn f Srting Algrithms (70% f the prject grade) The bjective f the first part f the assignment is

More information

BASD HIGH SCHOOL FORMAL LAB REPORT

BASD HIGH SCHOOL FORMAL LAB REPORT BASD HIGH SCHOOL FORMAL LAB REPORT *WARNING: After an explanatin f what t include in each sectin, there is an example f hw the sectin might lk using a sample experiment Keep in mind, the sample lab used

More information

Dorset Coastal Explorer Planning

Dorset Coastal Explorer Planning Dorset Coastal Explorer Planning Please read this information carefully. If you wish to proceed after reading this information you must signify your agreement to the following conditions of access by selecting

More information

Math Calculus with Analytic Geometry II

Math Calculus with Analytic Geometry II orem of definite Mth 5.0 with Anlytic Geometry II Jnury 4, 0 orem of definite If < b then b f (x) dx = ( under f bove x-xis) ( bove f under x-xis) Exmple 8 0 3 9 x dx = π 3 4 = 9π 4 orem of definite Problem

More information

ALGEBRA 2/TRIGONMETRY TOPIC REVIEW QUARTER 3 LOGS

ALGEBRA 2/TRIGONMETRY TOPIC REVIEW QUARTER 3 LOGS ALGEBRA /TRIGONMETRY TOPIC REVIEW QUARTER LOGS Cnverting frm Epnentil frm t Lgrithmic frm: E B N Lg BN E Americn Ben t French Lg Ben-n Lg Prperties: Lg Prperties lg (y) lg + lg y lg y lg lg y lg () lg

More information

PHYS 314 HOMEWORK #3

PHYS 314 HOMEWORK #3 PHYS 34 HOMEWORK #3 Due : 8 Feb. 07. A unifrm chain f mass M, lenth L and density λ (measured in k/m) hans s that its bttm link is just tuchin a scale. The chain is drpped frm rest nt the scale. What des

More information

ENGINEERING COUNCIL CERTIFICATE LEVEL THERMODYNAMIC, FLUID AND PROCESS ENGINEERING C106 TUTORIAL 5 THE VISCOUS NATURE OF FLUIDS

ENGINEERING COUNCIL CERTIFICATE LEVEL THERMODYNAMIC, FLUID AND PROCESS ENGINEERING C106 TUTORIAL 5 THE VISCOUS NATURE OF FLUIDS ENGINEERING COUNCIL CERTIFICATE LEVEL THERMODYNAMIC, FLUID AND PROCESS ENGINEERING C106 TUTORIAL 5 THE VISCOUS NATURE OF FLUIDS On cmpletin f this tutrial yu shuld be able t d the fllwing. Define viscsity

More information

Hubble s Law PHYS 1301

Hubble s Law PHYS 1301 1 PHYS 1301 Hubble s Law Why: The lab will verify Hubble s law fr the expansin f the universe which is ne f the imprtant cnsequences f general relativity. What: Frm measurements f the angular size and

More information

Section 7.1 Area of a Region Between Two Curves

Section 7.1 Area of a Region Between Two Curves Section 7.1 Are of Region Between Two Curves White Bord Chllenge The circle elow is inscried into squre: Clcultor 0 cm Wht is the shded re? 400 100 85.841cm White Bord Chllenge Find the re of the region

More information

Antibodies and Antigens

Antibodies and Antigens Antibdies nd Antigens Yur bdy s s nturl defense system Antibdies The frml chemicl nme fr ntibdies is immunglbulins. Immunglbulins re prtein mlecules which defend yur bdy frm freign txins knwn s ntigens.

More information

Please Stop Laughing at Me and Pay it Forward Final Writing Assignment

Please Stop Laughing at Me and Pay it Forward Final Writing Assignment Kirk Please Stp Laughing at Me and Pay it Frward Final Writing Assignment Our fcus fr the past few mnths has been n bullying and hw we treat ther peple. We ve played sme games, read sme articles, read

More information

Lifting a Lion: Using Proportions

Lifting a Lion: Using Proportions Overview Students will wrk in cperative grups t slve a real-wrd prblem by using the bk Hw D yu Lift a Lin? Using a ty lin and a lever, students will discver hw much wrk is needed t raise the ty lin. They

More information

Data Analysis, Statistics, Machine Learning

Data Analysis, Statistics, Machine Learning Data Analysis, Statistics, Machine Learning Leland Wilkinsn Adjunct Prfessr UIC Cmputer Science Chief Scien

More information

Text Analysis. Week 5

Text Analysis. Week 5 Week 5 Text Analysis Reference and Slide Source: ChengXiang Zhai and Sean Massung. 2016. Text Data Management and Analysis: a Practical Introduction to Information Retrieval and Text Mining. Association

More information

Biochemistry Summer Packet

Biochemistry Summer Packet Bichemistry Summer Packet Science Basics Metric Cnversins All measurements in chemistry are made using the metric system. In using the metric system yu must be able t cnvert between ne value and anther.

More information

CHAPTER 24: INFERENCE IN REGRESSION. Chapter 24: Make inferences about the population from which the sample data came.

CHAPTER 24: INFERENCE IN REGRESSION. Chapter 24: Make inferences about the population from which the sample data came. MATH 1342 Ch. 24 April 25 and 27, 2013 Page 1 f 5 CHAPTER 24: INFERENCE IN REGRESSION Chapters 4 and 5: Relatinships between tw quantitative variables. Be able t Make a graph (scatterplt) Summarize the

More information

We divide the interval [a, b] into subintervals of equal length x = b a n

We divide the interval [a, b] into subintervals of equal length x = b a n Arc Length Given curve C defined by function f(x), we wnt to find the length of this curve between nd b. We do this by using process similr to wht we did in defining the Riemnn Sum of definite integrl:

More information

Mark Scheme (Results) January International GCSE Mathematics B (4MB0) Paper 01

Mark Scheme (Results) January International GCSE Mathematics B (4MB0) Paper 01 Mark Scheme (Results) January 013 Internatinal GCSE Mathematics B (4MB0) Paper 01 Edexcel and BTEC Qualificatins Edexcel and BTEC qualificatins cme frm Pearsn, the wrld s leading learning cmpany. We prvide

More information

Phys. 344 Ch 7 Lecture 8 Fri., April. 10 th,

Phys. 344 Ch 7 Lecture 8 Fri., April. 10 th, Phys. 344 Ch 7 Lecture 8 Fri., April. 0 th, 009 Fri. 4/0 8. Ising Mdel f Ferrmagnets HW30 66, 74 Mn. 4/3 Review Sat. 4/8 3pm Exam 3 HW Mnday: Review fr est 3. See n-line practice test lecture-prep is t

More information

Physics 212. Lecture 12. Today's Concept: Magnetic Force on moving charges. Physics 212 Lecture 12, Slide 1

Physics 212. Lecture 12. Today's Concept: Magnetic Force on moving charges. Physics 212 Lecture 12, Slide 1 Physics 1 Lecture 1 Tday's Cncept: Magnetic Frce n mving charges F qv Physics 1 Lecture 1, Slide 1 Music Wh is the Artist? A) The Meters ) The Neville rthers C) Trmbne Shrty D) Michael Franti E) Radiatrs

More information

AB Calculus Review Sheet

AB Calculus Review Sheet AB Clculus Review Sheet Legend: A Preclculus, B Limits, C Differentil Clculus, D Applictions of Differentil Clculus, E Integrl Clculus, F Applictions of Integrl Clculus, G Prticle Motion nd Rtes This is

More information

Lim f (x) e. Find the largest possible domain and its discontinuity points. Why is it discontinuous at those points (if any)?

Lim f (x) e. Find the largest possible domain and its discontinuity points. Why is it discontinuous at those points (if any)? THESE ARE SAMPLE QUESTIONS FOR EACH OF THE STUDENT LEARNING OUTCOMES (SLO) SET FOR THIS COURSE. SLO 1: Understand and use the cncept f the limit f a functin i. Use prperties f limits and ther techniques,

More information

11.2. Infinite Series

11.2. Infinite Series .2 Infinite Series 76.2 Infinite Series An infinite series is the sum f n infinite seuence f numbers + 2 + 3 + Á + n + Á The gl f this sectin is t understnd the mening f such n infinite sum nd t develp

More information

Corrections for the textbook answers: Sec 6.1 #8h)covert angle to a positive by adding period #9b) # rad/sec

Corrections for the textbook answers: Sec 6.1 #8h)covert angle to a positive by adding period #9b) # rad/sec U n i t 6 AdvF Date: Name: Trignmetric Functins Unit 6 Tentative TEST date Big idea/learning Gals In this unit yu will study trignmetric functins frm grade, hwever everything will be dne in radian measure.

More information

( ) as a fraction. Determine location of the highest

( ) as a fraction. Determine location of the highest AB Clculus Exm Review Sheet - Solutions A. Preclculus Type prolems A1 A2 A3 A4 A5 A6 A7 This is wht you think of doing Find the zeros of f ( x). Set function equl to 0. Fctor or use qudrtic eqution if

More information

( ) where f ( x ) is a. AB Calculus Exam Review Sheet. A. Precalculus Type problems. Find the zeros of f ( x).

( ) where f ( x ) is a. AB Calculus Exam Review Sheet. A. Precalculus Type problems. Find the zeros of f ( x). AB Clculus Exm Review Sheet A. Preclculus Type prolems A1 Find the zeros of f ( x). This is wht you think of doing A2 A3 Find the intersection of f ( x) nd g( x). Show tht f ( x) is even. A4 Show tht f

More information

1.2.1 Vectors. 1 P age. Examples What is the reference vector angle for a vector that points 50 degrees east of south?

1.2.1 Vectors. 1 P age. Examples What is the reference vector angle for a vector that points 50 degrees east of south? 1.2.1 Vectrs Definitins Vectrs are represented n paper by arrws directin = magnitude = Examples f vectrs: Examples What is the reference vectr angle fr a vectr that pints 50 degrees east f suth? What is

More information

ODE: Existence and Uniqueness of a Solution

ODE: Existence and Uniqueness of a Solution Mth 22 Fll 213 Jerry Kzdn ODE: Existence nd Uniqueness of Solution The Fundmentl Theorem of Clculus tells us how to solve the ordinry differentil eqution (ODE) du = f(t) dt with initil condition u() =

More information

The Fundamental Theorem of Calculus, Particle Motion, and Average Value

The Fundamental Theorem of Calculus, Particle Motion, and Average Value The Fundmentl Theorem of Clculus, Prticle Motion, nd Averge Vlue b Three Things to Alwys Keep In Mind: (1) v( dt p( b) p( ), where v( represents the velocity nd p( represents the position. b (2) v ( dt

More information

IB Sports, Exercise and Health Science Summer Assignment. Mrs. Christina Doyle Seneca Valley High School

IB Sports, Exercise and Health Science Summer Assignment. Mrs. Christina Doyle Seneca Valley High School IB Sprts, Exercise and Health Science Summer Assignment Mrs. Christina Dyle Seneca Valley High Schl Welcme t IB Sprts, Exercise and Health Science! This curse incrprates the traditinal disciplines f anatmy

More information

Weathering. Title: Chemical and Mechanical Weathering. Grade Level: Subject/Content: Earth and Space Science

Weathering. Title: Chemical and Mechanical Weathering. Grade Level: Subject/Content: Earth and Space Science Weathering Title: Chemical and Mechanical Weathering Grade Level: 9-12 Subject/Cntent: Earth and Space Science Summary f Lessn: Students will test hw chemical and mechanical weathering can affect a rck

More information

Pipetting 101 Developed by BSU CityLab

Pipetting 101 Developed by BSU CityLab Discver the Micrbes Within: The Wlbachia Prject Pipetting 101 Develped by BSU CityLab Clr Cmparisns Pipetting Exercise #1 STUDENT OBJECTIVES Students will be able t: Chse the crrect size micrpipette fr

More information

Five Whys How To Do It Better

Five Whys How To Do It Better Five Whys Definitin. As explained in the previus article, we define rt cause as simply the uncvering f hw the current prblem came int being. Fr a simple causal chain, it is the entire chain. Fr a cmplex

More information

( ) where f ( x ) is a. AB/BC Calculus Exam Review Sheet. A. Precalculus Type problems. Find the zeros of f ( x).

( ) where f ( x ) is a. AB/BC Calculus Exam Review Sheet. A. Precalculus Type problems. Find the zeros of f ( x). AB/ Clculus Exm Review Sheet A. Preclculus Type prolems A1 Find the zeros of f ( x). This is wht you think of doing A2 Find the intersection of f ( x) nd g( x). A3 Show tht f ( x) is even. A4 Show tht

More information

The general linear model and Statistical Parametric Mapping I: Introduction to the GLM

The general linear model and Statistical Parametric Mapping I: Introduction to the GLM The general linear mdel and Statistical Parametric Mapping I: Intrductin t the GLM Alexa Mrcm and Stefan Kiebel, Rik Hensn, Andrew Hlmes & J-B J Pline Overview Intrductin Essential cncepts Mdelling Design

More information

The Properties of Stars

The Properties of Stars 10/11/010 The Properties of Strs sses Using Newton s Lw of Grvity to Determine the ss of Celestil ody ny two prticles in the universe ttrct ech other with force tht is directly proportionl to the product

More information

Relationships Between Frequency, Capacitance, Inductance and Reactance.

Relationships Between Frequency, Capacitance, Inductance and Reactance. P Physics Relatinships between f,, and. Relatinships Between Frequency, apacitance, nductance and Reactance. Purpse: T experimentally verify the relatinships between f, and. The data cllected will lead

More information

I M P O R T A N T S A F E T Y I N S T R U C T I O N S W h e n u s i n g t h i s e l e c t r o n i c d e v i c e, b a s i c p r e c a u t i o n s s h o

I M P O R T A N T S A F E T Y I N S T R U C T I O N S W h e n u s i n g t h i s e l e c t r o n i c d e v i c e, b a s i c p r e c a u t i o n s s h o I M P O R T A N T S A F E T Y I N S T R U C T I O N S W h e n u s i n g t h i s e l e c t r o n i c d e v i c e, b a s i c p r e c a u t i o n s s h o u l d a l w a y s b e t a k e n, i n c l u d f o l

More information

Name: Block: Date: Science 10: The Great Geyser Experiment A controlled experiment

Name: Block: Date: Science 10: The Great Geyser Experiment A controlled experiment Science 10: The Great Geyser Experiment A cntrlled experiment Yu will prduce a GEYSER by drpping Ments int a bttle f diet pp Sme questins t think abut are: What are yu ging t test? What are yu ging t measure?

More information

MODULE 1. e x + c. [You can t separate a demominator, but you can divide a single denominator into each numerator term] a + b a(a + b)+1 = a + b

MODULE 1. e x + c. [You can t separate a demominator, but you can divide a single denominator into each numerator term] a + b a(a + b)+1 = a + b . REVIEW OF SOME BASIC ALGEBRA MODULE () Slving Equatins Yu shuld be able t slve fr x: a + b = c a d + e x + c and get x = e(ba +) b(c a) d(ba +) c Cmmn mistakes and strategies:. a b + c a b + a c, but

More information

Announcements. 30 o. The pumpkin is on the left and the watermelon is on the right. The picture on page 138 is better.

Announcements. 30 o. The pumpkin is on the left and the watermelon is on the right. The picture on page 138 is better. Annuncements Em 1 is ne eek. Ems frm revius semesters hve been sted n the ebsite. HITT quiz slutins re sted n ebsite. Td e ill finish Chter 4 nd begin Chter 5. ill st Em 1 brekdn nd revie mteril. Lk fr

More information

Simple Linear Regression (single variable)

Simple Linear Regression (single variable) Simple Linear Regressin (single variable) Intrductin t Machine Learning Marek Petrik January 31, 2017 Sme f the figures in this presentatin are taken frm An Intrductin t Statistical Learning, with applicatins

More information

Engineering Decision Methods

Engineering Decision Methods GSOE9210 vicj@cse.unsw.edu.au www.cse.unsw.edu.au/~gs9210 Maximin and minimax regret 1 2 Indifference; equal preference 3 Graphing decisin prblems 4 Dminance The Maximin principle Maximin and minimax Regret

More information

CPM plans: the short, the medium and the long

CPM plans: the short, the medium and the long plans: the shrt, the medium and the lng Summary f recent prgress Next steps New Test sftware/firmware Slice test/beam test requirements Hw can we use current s? D we need mre new s? rductin testing requirements

More information

2004 AP CHEMISTRY FREE-RESPONSE QUESTIONS

2004 AP CHEMISTRY FREE-RESPONSE QUESTIONS 2004 AP CHEMISTRY FREE-RESPONSE QUESTIONS 6. An electrchemical cell is cnstructed with an pen switch, as shwn in the diagram abve. A strip f Sn and a strip f an unknwn metal, X, are used as electrdes.

More information

Why Don t They Get It??

Why Don t They Get It?? Why Dn t They Get It?? A 60-minute Webinar NEURO LINGUISTIC PROGRAMMING NLP is the way we stre and prcess infrmatin in ur brains, and then frm the wrds we use t cmmunicate. By learning abut NLP, yu can

More information

Exam Review Trigonometry

Exam Review Trigonometry Exam Review Trignmetry (Tyler, Chris, Hafsa, Nasim, Paniz,Tng) Similar Triangles Prving Similarity (AA, SSS, SAS) ~ Tyler Garfinkle 3 Types f Similarities: 1. Side Side Side Similarity (SSS) If three pairs

More information

Exam #1. A. Answer any 1 of the following 2 questions. CEE 371 October 8, Please grade the following questions: 1 or 2

Exam #1. A. Answer any 1 of the following 2 questions. CEE 371 October 8, Please grade the following questions: 1 or 2 CEE 371 Octber 8, 2009 Exam #1 Clsed Bk, ne sheet f ntes allwed Please answer ne questin frm the first tw, ne frm the secnd tw and ne frm the last three. The ttal ptential number f pints is 100. Shw all

More information

AP Calculus. Fundamental Theorem of Calculus

AP Calculus. Fundamental Theorem of Calculus AP Clculus Fundmentl Theorem of Clculus Student Hndout 16 17 EDITION Click on the following link or scn the QR code to complete the evlution for the Study Session https://www.surveymonkey.com/r/s_sss Copyright

More information

176 5 t h Fl oo r. 337 P o ly me r Ma te ri al s

176 5 t h Fl oo r. 337 P o ly me r Ma te ri al s A g la di ou s F. L. 462 E l ec tr on ic D ev el op me nt A i ng er A.W.S. 371 C. A. M. A l ex an de r 236 A d mi ni st ra ti on R. H. (M rs ) A n dr ew s P. V. 326 O p ti ca l Tr an sm is si on A p ps

More information

Misc. ArcMap Stuff Andrew Phay

Misc. ArcMap Stuff Andrew Phay Misc. ArcMap Stuff Andrew Phay aphay@whatcmcd.rg Prjectins Used t shw a spherical surface n a flat surface Distrtin Shape Distance True Directin Area Different Classes Thse that minimize distrtin in shape

More information

More Tutorial at

More Tutorial at Answer each questin in the space prvided; use back f page if extra space is needed. Answer questins s the grader can READILY understand yur wrk; nly wrk n the exam sheet will be cnsidered. Write answers,

More information

MAT 1275: Introduction to Mathematical Analysis

MAT 1275: Introduction to Mathematical Analysis 1 MT 1275: Intrdutin t Mtemtil nlysis Dr Rzenlyum Slving Olique Tringles Lw f Sines Olique tringles tringles tt re nt neessry rigt tringles We re ging t slve tem It mens t find its si elements sides nd

More information

Who is the Holy Spirit?

Who is the Holy Spirit? ill at w w this h t h in SS est abut erence u O q L G ka iff hink : As m t t es a d K S k A the n ma. wn help rmati ur Jesus. y f t u inf e life ab h iple in t alk a disc f T : RE ce as ece t i A p SH

More information

Fall 2013 Physics 172 Recitation 3 Momentum and Springs

Fall 2013 Physics 172 Recitation 3 Momentum and Springs Fall 03 Physics 7 Recitatin 3 Mmentum and Springs Purpse: The purpse f this recitatin is t give yu experience wrking with mmentum and the mmentum update frmula. Readings: Chapter.3-.5 Learning Objectives:.3.

More information

making triangle (ie same reference angle) ). This is a standard form that will allow us all to have the X= y=

making triangle (ie same reference angle) ). This is a standard form that will allow us all to have the X= y= Intrductin t Vectrs I 21 Intrductin t Vectrs I 22 I. Determine the hrizntal and vertical cmpnents f the resultant vectr by cunting n the grid. X= y= J. Draw a mangle with hrizntal and vertical cmpnents

More information