NOTES. Cohasset Associates, Inc Managing Electronic Records Conference 8.1

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "NOTES. Cohasset Associates, Inc. 2015 Managing Electronic Records Conference 8.1"

Transcription

1 Cohsset Assocites, Inc. Expnding Your Skill Set: How to Apply the Right Serch Methods to Your Big Dt Problems Juli L. Brickell H5 Generl Counsel MER Conference My 18, 2015 H5 POWERING YOUR DISCOVERY GLOBALLY TEL: Corporte Dt Loctions Internl Enterprise dt sources Externl Mnged Externl Cloud Employee sources Externl Gmil Gmil Google Docs Google Docs 2 Identify The End Gme Gols differ Find prticulr documents Find prticulr document types Segregte wht is needed from wht is not Illuminte drk dt Defensibly dispose of unneeded informtion 2015 Mnging Electronic Records Conference 8.1

2 Cohsset Assocites, Inc. Prepre to Use Effective Methods Methods lign regrdless of purpose; tools my not Know wht you need Employ the right expertise to find it The right tools The right methods Fine tune for diverse sources Securely dispose, if disposing Serch Superior to Mnul Review Richmond Journl of Lw nd Technology (2011) Overll, the myth tht exhustive mnul review is the most effective nd therefore, the most defensible pproch to document review is strongly refuted. Technology-ssisted review cn (nd does) yield more ccurte results thn exhustive mnul review, with much lower effort. TECHNOLOGY ASSISTED REVIEW IN E DISCOVERY CAN BE MORE EFFECTIVE AND MORE EFFICIENT THAN EXHAUSTIVE MANUAL REVIEW Mur R. Grossmn Gordon V. Cormck XVII RICH. J.L. & TECH. 11 (2011), p.48 Serch Superior to Mnul Review Richmond Journl of Lw nd Technology (2011) Of course, not ll technology-ssisted reviews re creted equl. The prticulr processes found to be superior in this study re both interctive, employing combintion of computer nd humn input. TECHNOLOGY ASSISTED REVIEW IN E DISCOVERY CAN BE MORE EFFECTIVE AND MORE EFFICIENT THAN EXHAUSTIVE MANUAL REVIEW Mur R. Grossmn Gordon V. Cormck XVII RICH. J.L. & TECH. 11 (2011), p Mnging Electronic Records Conference 8.2

3 Cohsset Assocites, Inc. Serch Results Vry Widely TREC Interctive Tsk Results High Recll High Precision Precision Keyword Serch (Blir & Mron,1985) Mnul Review (Grossmn & Cormck, 2011) Recll TREC: Ntionl Institute of Stndrds nd Technology Text Retrievl Conference Legl Trck Are you meeting your gols? The metrics Recll nd Precision Recll A mesure of how complete the results of retrievl effort re. Recll nswers the question: Out of ll the documents tht retrievl ws chrged with finding, wht proportion did the retrievl succeed in ctully finding? Precision A mesure of how on trget the results of retrievl effort re. Precision nswers the question: Out of ll the documents retrievl identified s responsive, wht proportion ws ctully responsive? Vlidting Retrievl Effort Scientific Perspective There re stndrd informtion retrievl metrics tht nswer the key questions bout the qulity of document retrievl effort: recll nd precision. There re ccepted smpling methodologies for obtining estimtes of recll nd precision in reltively costeffective wy. Smpling pproches to vlidtion offer considerble flexibility nd control over key input prmeters, so tht, in ny given circumstnce, if you think through your rel informtion need, you cn find test tht strikes the optiml blnce between the informtion gined nd the resources required Mnging Electronic Records Conference 8.3

4 Cohsset Assocites, Inc. Technology for Retrievl Incresingly Accepted In the three yers since D Silv Moore, the cse lw hs developed to the point tht it is now blck letter lw tht where the producing prty wnts to utilize TAR for document review, courts will permit it. Rio Tinto PLC v. Vles S.A., Cse 1:14 cv RMB AJP (Mrch 2, 2015) Methodology Mtters Know the gol Lern the dt popultion Design pproprite smpling process Vet the smple documents Use the knowledge to improve the smple Use the gol nd knowledge to select tool Choose pproprite tools Use pproprite, itertive methodology Vlidte results Design pproprite smpling process Vet the smple documents Estimte recll nd precision; iterte process s needed Sttistics Supports Knowledge nd Choice Yield Estimte Estimte of trget documents in dt set Dt set 100,000 documents 1000 doc smple 15,000 trget docs estimted yield /1000 trget docs in smple = 15% Hence estimted 15,000/100,000 trget docs in dt set 2015 Mnging Electronic Records Conference 8.4

5 Cohsset Assocites, Inc. Smpling: Qulity of Smple Affects Qulity of Serch Results document sources skewed smple H D q R i h m b Q 2 M A G d F G y v m g c 2 v p j l A 2 B N 2 s e x f 2 Z t g P w u k r G o j M b d k i g h A f c e smple prmeters to drw smple vry by sitution different deprtments different dtes rolling collection multiple issues Serch is run on n index Token Loctions Sme serch queries provide different results depending on the tool Google Exct serch Algorithmic serch ction 3:1; 24:10; 45:112; ll 3:5; 4; 23 ccountnts 2:2; 41::33 business 2:3; 4::56 conferences 3:12; 7:1; 88:5; 95:1 dte 1:1; 4:1; 5:3; 8:13 dec 1:3; 155:9 Not ll words re indexed smoking Boolen Serch: Keywords or Serch Strings o known o djustble o over-inclusive -- nchor o under-inclusive dd terms o trgets specific lnguge cough! mlise sore throt trffic congest! Relevnt Documents: common cold sneez! runny nose llergies flu fever loss w/3 ppetite virus computers 2015 Mnging Electronic Records Conference 8.5

6 Cohsset Assocites, Inc. Serch Strings: words you cn red TreC09_204_ST_Retention_Deletion BM enron #w5 [dt, documents, e{ }mil{s}, record{s}, evidence{s}, info{rmtion}, cop[y, ies], file{s}] #w10 [shred{s, ded, ding}, destroy{s, ed, ing}] Mthemticl Serch Algorithms count nd weight words nd other tokens: clustering, concept, predictive Document 1 totl α o unknown o imbedded o hrd to djust o over-inclusive o under-inclusive o groups or rnks bsed on prevlent lnguge β Document 2 totl Vlidtion of Recll looking in the discrd pile A look tht flls short of vlidting Recll Look in the discrd pile, but do not tie results bck to fullcollection prevlence (i.e., do not tie to Recll). Exmple: Look in the discrd pile, find tht 1 out of every 100 documents is ctully responsive. Tht s good, isn t it? It depends Good, if full collection prevlence ws 10%. Bd, if full collection prevlence ws 1%. A look tht tht truly vlidtes Recll Look in the discrd pile, nd do tie the results bck to full collection prevlence (i.e., tie to Recll) Mnging Electronic Records Conference 8.6

7 Cohsset Assocites, Inc. Sttistics Supports Knowledge nd Choice Smple of results 46% recll: 7,000/15,100 More trget documents missed thn tgged. Tgged Dt 10,000 documents Not Tgged Dt 90,000 documents 1000 doc smple doc smple 10,000 x 70% correct = 7,000 trget docs tgged 90,000 x 9% missed = 8,100 trget docs missed 90 The Biomet Exmple In re: Biomet M2 Mgnum Hip Implnt Products Libility Litigtion (MDL 2391) Bckground Defendnt followed two stge review process: Keyword culling (+ dedupliction); 19.5m 3.9m 2.5m Predictive coding (+ humn review). Plintiffs contend tht the keyword culling step left lot of responsive documents behind nd tht predictive coding should be pplied to the full 19.5m collection. Defendnt objects, sying tht, while they re willing to entertin dditionl keywords from plintiffs nd to produce dditionl nonprivileged docs from the 2.5m culled in subset, they re not willing to pply predictive coding to the full 19.5m collection. The Biomet Exmple The Judge s Ruling The Judge ruled in fvor of Defendnt, bsed in prt on: Rules nd stndrds governing discovery process Proportionlity considertions Numbers derived from Defendnt s smpling of the collection. With regrd to the numbers, the Judge observed: Smpling of the full collection found tht between 1.37% nd 2.47% of the full collection ws responsive; Smpling of the discrd pile left behind by the keyword cull found tht between 0.55% nd 1.33% of the discrd pile ws responsive. Therefore, were Defendnt to pply predictive coding to the full collection, comprtively modest number of [dditionl responsive] documents would be found (p. 5) Mnging Electronic Records Conference 8.7

8 Cohsset Assocites, Inc. Wht the numbers sy The Biomet Exmple Between 267,150 nd 481,650 responsive documents reside documents in the full collection. Between 85,800 nd 207,480 responsive documents reside in the set left behind by the keyword cull. Tking the midpoints of the two rnges, Recll of keyword cull is: 60.8%; o i.e., nerly 40% of the responsive documents re left behind by the keyword cull. Recll of the entire two stge process only flls further when the predictive coding stge is tken into ccount. o Assuming predictive coding chieves 70% recll ( generous ssumption), overll recll of the two stge process is 42.6%; over hlf of the responsive documents re left behind. Implictions? Are there business, legl or ethicl implictions rising from the qulity of the retrievl? Likely. Business, Legl or Ethicl Implictions? Serch designers rely on keywords creted in conference room bsed on ssumptions bout how the business might discuss the trgeted content. As result, lrge mount of responsive dt is missed. Smpling would hve demonstrted the gp. Serch design comprises over inclusive keywords or technology, resulting in retrievl of vst, lrgely off trget dt set. Smpling would hve demonstrted the overge. Algorithmic serch tool used in investigtion differentites bsed on most prevlent lnguge in documents nd rnks very low documents with nunced lnguge indicting frud. Clustering lgorithm groups stndrd form contrcts together but misses informl greements with business prtners. Records mngement exercise plns disposl of pper copies believed to overlp with scnned electronic copies. Records re required by regultors. Smpling exercise to compre sets is improperly designed Mnging Electronic Records Conference 8.8

9 Cohsset Assocites, Inc. You need to drw on the right kinds of expertise if you re going to get sound nswer H5 POWERING YOUR DISCOVERY GLOBALLY TEL: References TREC 2008 Overview of the Legl Trck TREC 2009 Overview of the Legl Trck TREC 2010 Overview of the Legl Trck Blir nd Mron 1985 Blir, Dvid C., nd M. E. Mron An Evlution of Retrievl Effectiveness for Full Text Document Retrievl System. Communictions of the ACM 28 (3): Grossmn nd Cormck 2011 Mur R. Grossmn & Gordon V. Cormck, Technology Assisted Review in E Discovery Cn Be More Effective nd More Efficient Thn Exhustive Mnul Review, XVII RICH. J.L. & TECH. 11 (2011), In re: Biomet In re: Biomet M2 Mgnum Hip Implnt Prods. Lib. Litig., NO. 3:12 MD 2391, Order Regrding Discovery of ESI (N.D. Ind. Apr. 18, 2013) H Mnging Electronic Records Conference 8.9

JaERM Software-as-a-Solution Package

JaERM Software-as-a-Solution Package JERM Softwre-s--Solution Pckge Enterprise Risk Mngement ( ERM ) Public listed compnies nd orgnistions providing finncil services re required by Monetry Authority of Singpore ( MAS ) nd/or Singpore Stock

More information

Small Business Cloud Services

Small Business Cloud Services Smll Business Cloud Services Summry. We re thick in the midst of historic se-chnge in computing. Like the emergence of personl computers, grphicl user interfces, nd mobile devices, the cloud is lredy profoundly

More information

On the Meaning of Regression Coefficients for Categorical and Continuous Variables: Model I and Model II; Effect Coding and Dummy Coding

On the Meaning of Regression Coefficients for Categorical and Continuous Variables: Model I and Model II; Effect Coding and Dummy Coding Dt_nlysisclm On the Mening of Regression for tegoricl nd ontinuous Vribles: I nd II; Effect oding nd Dummy oding R Grdner Deprtment of Psychology This describes the simple cse where there is one ctegoricl

More information

4.0 5-Minute Review: Rational Functions

4.0 5-Minute Review: Rational Functions mth 130 dy 4: working with limits 1 40 5-Minute Review: Rtionl Functions DEFINITION A rtionl function 1 is function of the form y = r(x) = p(x) q(x), 1 Here the term rtionl mens rtio s in the rtio of two

More information

Tests for One Poisson Mean

Tests for One Poisson Mean Chpter 412 Tests for One Poisson Men Introduction The Poisson probbility lw gives the probbility distribution of the number of events occurring in specified intervl of time or spce. The Poisson distribution

More information

Assessing authentically in the Graduate Diploma of Education

Assessing authentically in the Graduate Diploma of Education Assessing uthenticlly in the Grdute Diplom of Eduction Dr Mree DinnThompson Dr Ruth Hickey Dr Michelle Lsen WIL Seminr JCU Nov 12 2009 Key ides plnning process tht embeds uthentic ssessment, workintegrted

More information

Distributions. (corresponding to the cumulative distribution function for the discrete case).

Distributions. (corresponding to the cumulative distribution function for the discrete case). Distributions Recll tht n integrble function f : R [,] such tht R f()d = is clled probbility density function (pdf). The distribution function for the pdf is given by F() = (corresponding to the cumultive

More information

Helicopter Theme and Variations

Helicopter Theme and Variations Helicopter Theme nd Vritions Or, Some Experimentl Designs Employing Pper Helicopters Some possible explntory vribles re: Who drops the helicopter The length of the rotor bldes The height from which the

More information

ON THE FRAME-STEWART ALGORITHM FOR THE TOWER OF HANOI

ON THE FRAME-STEWART ALGORITHM FOR THE TOWER OF HANOI ON THE FRAME-STEWART ALGORITHM FOR THE TOWER OF HANOI MICHAEL RAND 1. Introduction The Tower of Hnoi puzzle ws creted over century go by the number theorist Edourd Lucs [, 4], nd it nd its vrints hve chllenged

More information

DlNBVRGH + Sickness Absence Monitoring Report. Executive of the Council. Purpose of report

DlNBVRGH + Sickness Absence Monitoring Report. Executive of the Council. Purpose of report DlNBVRGH + + THE CITY OF EDINBURGH COUNCIL Sickness Absence Monitoring Report Executive of the Council 8fh My 4 I.I...3 Purpose of report This report quntifies the mount of working time lost s result of

More information

Net Change and Displacement

Net Change and Displacement mth 11, pplictions motion: velocity nd net chnge 1 Net Chnge nd Displcement We hve seen tht the definite integrl f (x) dx mesures the net re under the curve y f (x) on the intervl [, b] Any prt of the

More information

1 Numerical Solution to Quadratic Equations

1 Numerical Solution to Quadratic Equations cs42: introduction to numericl nlysis 09/4/0 Lecture 2: Introduction Prt II nd Solving Equtions Instructor: Professor Amos Ron Scribes: Yunpeng Li, Mrk Cowlishw Numericl Solution to Qudrtic Equtions Recll

More information

Hillsborough Township Public Schools Mathematics Department Computer Programming 1

Hillsborough Township Public Schools Mathematics Department Computer Programming 1 Essentil Unit 1 Introduction to Progrmming Pcing: 15 dys Common Unit Test Wht re the ethicl implictions for ming in tody s world? There re ethicl responsibilities to consider when writing computer s. Citizenship,

More information

Treatment Spring Late Summer Fall 0.10 5.56 3.85 0.61 6.97 3.01 1.91 3.01 2.13 2.99 5.33 2.50 1.06 3.53 6.10 Mean = 1.33 Mean = 4.88 Mean = 3.

Treatment Spring Late Summer Fall 0.10 5.56 3.85 0.61 6.97 3.01 1.91 3.01 2.13 2.99 5.33 2.50 1.06 3.53 6.10 Mean = 1.33 Mean = 4.88 Mean = 3. The nlysis of vrince (ANOVA) Although the t-test is one of the most commonly used sttisticl hypothesis tests, it hs limittions. The mjor limittion is tht the t-test cn be used to compre the mens of only

More information

Experiment 6: Friction

Experiment 6: Friction Experiment 6: Friction In previous lbs we studied Newton s lws in n idel setting, tht is, one where friction nd ir resistnce were ignored. However, from our everydy experience with motion, we know tht

More information

Homework #4: Answers. 1. Draw the array of world outputs that free trade allows by making use of each country s transformation schedule.

Homework #4: Answers. 1. Draw the array of world outputs that free trade allows by making use of each country s transformation schedule. Text questions, Chpter 5, problems 1-5: Homework #4: Answers 1. Drw the rry of world outputs tht free trde llows by mking use of ech country s trnsformtion schedule.. Drw it. This digrm is constructed

More information

Chapter 8 - Practice Problems 1

Chapter 8 - Practice Problems 1 Chpter 8 - Prctice Problems 1 MULTIPLE CHOICE. Choose the one lterntive tht best completes the sttement or nswers the question. A hypothesis test is to be performed. Determine the null nd lterntive hypotheses.

More information

An Undergraduate Curriculum Evaluation with the Analytic Hierarchy Process

An Undergraduate Curriculum Evaluation with the Analytic Hierarchy Process An Undergrdute Curriculum Evlution with the Anlytic Hierrchy Process Les Frir Jessic O. Mtson Jck E. Mtson Deprtment of Industril Engineering P.O. Box 870288 University of Albm Tuscloos, AL. 35487 Abstrct

More information

inventiv Health New Office

inventiv Health New Office Svills Cse Study - Fit Out inventiv Helth New Office Shnghi Project Vlue: 1.5M RMB Completion Dte: 2011 Client: inventiv Helth (Shnghi) Co., Ltd Project Role: Project Mnger Extremely fst trck delivery

More information

Anthem Blue Cross Life and Health Insurance Company University of Southern California Custom Premier PPO 800/20%/20%

Anthem Blue Cross Life and Health Insurance Company University of Southern California Custom Premier PPO 800/20%/20% Anthem Blue Cross Life nd Helth Insurnce Compny University of Southern Cliforni Custom Premier 800/20%/20% Summry of Benefits nd Coverge: Wht this Pln Covers & Wht it Costs Coverge Period: 01/01/2015-12/31/2015

More information

Corporate Compliance vs. Enterprise-Wide Risk Management

Corporate Compliance vs. Enterprise-Wide Risk Management Corporte Complince vs. Enterprise-Wide Risk Mngement Brent Sunders, Prtner (973) 236-4682 November 2002 Agend Corporte Complince Progrms? Wht is Enterprise-Wide Risk Mngement? Key Differences Why Will

More information

Quadratic Equations. Math 99 N1 Chapter 8

Quadratic Equations. Math 99 N1 Chapter 8 Qudrtic Equtions Mth 99 N1 Chpter 8 1 Introduction A qudrtic eqution is n eqution where the unknown ppers rised to the second power t most. In other words, it looks for the vlues of x such tht second degree

More information

An Off-Center Coaxial Cable

An Off-Center Coaxial Cable 1 Problem An Off-Center Coxil Cble Kirk T. McDonld Joseph Henry Lbortories, Princeton University, Princeton, NJ 08544 Nov. 21, 1999 A coxil trnsmission line hs inner conductor of rdius nd outer conductor

More information

GFI MilArchiver 6 vs C2C Archive One Policy Mnger GFI Softwre www.gfi.com GFI MilArchiver 6 vs C2C Archive One Policy Mnger GFI MilArchiver 6 C2C Archive One Policy Mnger Who we re Generl fetures Supports

More information

N Mean SD Mean SD Shelf # Shelf # Shelf #

N Mean SD Mean SD Shelf # Shelf # Shelf # NOV xercises smple of 0 different types of cerels ws tken from ech of three grocery store shelves (1,, nd, counting from the floor). summry of the sugr content (grms per serving) nd dietry fiber (grms

More information

Econ 4721 Money and Banking Problem Set 2 Answer Key

Econ 4721 Money and Banking Problem Set 2 Answer Key Econ 472 Money nd Bnking Problem Set 2 Answer Key Problem (35 points) Consider n overlpping genertions model in which consumers live for two periods. The number of people born in ech genertion grows in

More information

Example 27.1 Draw a Venn diagram to show the relationship between counting numbers, whole numbers, integers, and rational numbers.

Example 27.1 Draw a Venn diagram to show the relationship between counting numbers, whole numbers, integers, and rational numbers. 2 Rtionl Numbers Integers such s 5 were importnt when solving the eqution x+5 = 0. In similr wy, frctions re importnt for solving equtions like 2x = 1. Wht bout equtions like 2x + 1 = 0? Equtions of this

More information

Enterprise Risk Management Software Buyer s Guide

Enterprise Risk Management Software Buyer s Guide Enterprise Risk Mngement Softwre Buyer s Guide 1. Wht is Enterprise Risk Mngement? 2. Gols of n ERM Progrm 3. Why Implement ERM 4. Steps to Implementing Successful ERM Progrm 5. Key Performnce Indictors

More information

Name: Lab Partner: Section:

Name: Lab Partner: Section: Chpter 4 Newton s 2 nd Lw Nme: Lb Prtner: Section: 4.1 Purpose In this experiment, Newton s 2 nd lw will be investigted. 4.2 Introduction How does n object chnge its motion when force is pplied? A force

More information

Unit 29: Inference for Two-Way Tables

Unit 29: Inference for Two-Way Tables Unit 29: Inference for Two-Wy Tbles Prerequisites Unit 13, Two-Wy Tbles is prerequisite for this unit. In ddition, students need some bckground in significnce tests, which ws introduced in Unit 25. Additionl

More information

The Definite Integral

The Definite Integral Chpter 4 The Definite Integrl 4. Determining distnce trveled from velocity Motivting Questions In this section, we strive to understnd the ides generted by the following importnt questions: If we know

More information

Small Business Networking

Small Business Networking Why Network is n Essentil Productivity Tool for Any Smll Business TechAdvisory.org SME Reports sponsored by Effective technology is essentil for smll businesses looking to increse their productivity. Computer

More information

Chapter 4: Dynamic Programming

Chapter 4: Dynamic Programming Chpter 4: Dynmic Progrmming Objectives of this chpter: Overview of collection of clssicl solution methods for MDPs known s dynmic progrmming (DP) Show how DP cn be used to compute vlue functions, nd hence,

More information

Use Geometry Expressions to create a more complex locus of points. Find evidence for equivalence using Geometry Expressions.

Use Geometry Expressions to create a more complex locus of points. Find evidence for equivalence using Geometry Expressions. Lerning Objectives Loci nd Conics Lesson 3: The Ellipse Level: Preclculus Time required: 120 minutes In this lesson, students will generlize their knowledge of the circle to the ellipse. The prmetric nd

More information

Health insurance exchanges What to expect in 2014

Health insurance exchanges What to expect in 2014 Helth insurnce exchnges Wht to expect in 2014 33096CAEENABC 02/13 The bsics of exchnges As prt of the Affordble Cre Act (ACA or helth cre reform lw), strting in 2014 ALL Americns must hve minimum mount

More information

Mechanics Cycle 1 Chapter 5. Chapter 5

Mechanics Cycle 1 Chapter 5. Chapter 5 Chpter 5 Contct orces: ree Body Digrms nd Idel Ropes Pushes nd Pulls in 1D, nd Newton s Second Lw Neglecting riction ree Body Digrms Tension Along Idel Ropes (i.e., Mssless Ropes) Newton s Third Lw Bodies

More information

Why is the NSW prison population falling?

Why is the NSW prison population falling? NSW Bureu of Crime Sttistics nd Reserch Bureu Brief Issue pper no. 80 September 2012 Why is the NSW prison popultion flling? Jcqueline Fitzgerld & Simon Corben 1 Aim: After stedily incresing for more thn

More information

Software Cost Estimation Model Based on Integration of Multi-agent and Case-Based Reasoning

Software Cost Estimation Model Based on Integration of Multi-agent and Case-Based Reasoning Journl of Computer Science 2 (3): 276-282, 2006 ISSN 1549-3636 2006 Science Publictions Softwre Cost Estimtion Model Bsed on Integrtion of Multi-gent nd Cse-Bsed Resoning Hsn Al-Skrn Informtion Technology

More information

Economics Letters 65 (1999) 9 15. macroeconomists. a b, Ruth A. Judson, Ann L. Owen. Received 11 December 1998; accepted 12 May 1999

Economics Letters 65 (1999) 9 15. macroeconomists. a b, Ruth A. Judson, Ann L. Owen. Received 11 December 1998; accepted 12 May 1999 Economics Letters 65 (1999) 9 15 Estimting dynmic pnel dt models: guide for q mcroeconomists b, * Ruth A. Judson, Ann L. Owen Federl Reserve Bord of Governors, 0th & C Sts., N.W. Wshington, D.C. 0551,

More information

Reasoning to Solve Equations and Inequalities

Reasoning to Solve Equations and Inequalities Lesson4 Resoning to Solve Equtions nd Inequlities In erlier work in this unit, you modeled situtions with severl vriles nd equtions. For exmple, suppose you were given usiness plns for concert showing

More information

Content Objectives: After completing the activity, students will gain experience of informally proving Pythagoras Theorem

Content Objectives: After completing the activity, students will gain experience of informally proving Pythagoras Theorem Pythgors Theorem S Topic 1 Level: Key Stge 3 Dimension: Mesures, Shpe nd Spce Module: Lerning Geometry through Deductive Approch Unit: Pythgors Theorem Student ility: Averge Content Ojectives: After completing

More information

Small Business Networking

Small Business Networking Why network is n essentil productivity tool for ny smll business Effective technology is essentil for smll businesses looking to increse the productivity of their people nd business. Introducing technology

More information

Theory of Forces. Forces and Motion

Theory of Forces. Forces and Motion his eek extbook -- Red Chpter 4, 5 Competent roblem Solver - Chpter 4 re-lb Computer Quiz ht s on the next Quiz? Check out smple quiz on web by hurs. ht you missed on first quiz Kinemtics - Everything

More information

Quadratic Functions. Analyze and describe the characteristics of quadratic functions

Quadratic Functions. Analyze and describe the characteristics of quadratic functions Section.3 - Properties of rphs of Qudrtic Functions Specific Curriculum Outcomes covered C3 Anlyze nd describe the chrcteristics of qudrtic functions C3 Solve problems involving qudrtic equtions F Anlyze

More information

Introducing Kashef for Application Monitoring

Introducing Kashef for Application Monitoring WextWise 2010 Introducing Kshef for Appliction The Cse for Rel-time monitoring of dtcenter helth is criticl IT process serving vriety of needs. Avilbility requirements of 6 nd 7 nines of tody SOA oriented

More information

Formal Languages and Automata Exam

Formal Languages and Automata Exam Forml Lnguges nd Automt Exm Fculty of Computers & Informtion Deprtment: Computer Science Grde: Third Course code: CSC 34 Totl Mrk: 8 Dte: 23//2 Time: 3 hours Answer the following questions: ) Consider

More information

Polynomial Functions. Polynomial functions in one variable can be written in expanded form as ( )

Polynomial Functions. Polynomial functions in one variable can be written in expanded form as ( ) Polynomil Functions Polynomil functions in one vrible cn be written in expnded form s n n 1 n 2 2 f x = x + x + x + + x + x+ n n 1 n 2 2 1 0 Exmples of polynomils in expnded form re nd 3 8 7 4 = 5 4 +

More information

According to Webster s, the

According to Webster s, the dt modeling Universl Dt Models nd P tterns By Len Silversn According Webster s, term universl cn be defined s generlly pplicble s well s pplying whole. There re some very common ptterns tht cn be generlly

More information

Finite Automata. Informatics 2A: Lecture 3. John Longley. 25 September School of Informatics University of Edinburgh

Finite Automata. Informatics 2A: Lecture 3. John Longley. 25 September School of Informatics University of Edinburgh Lnguges nd Automt Finite Automt Informtics 2A: Lecture 3 John Longley School of Informtics University of Edinburgh jrl@inf.ed.c.uk 25 September 2015 1 / 30 Lnguges nd Automt 1 Lnguges nd Automt Wht is

More information

Small Business Networking

Small Business Networking Why network is n essentil productivity tool for ny smll business Effective technology is essentil for smll businesses looking to increse the productivity of their people nd processes. Introducing technology

More information

A new algorithm for generating Pythagorean triples

A new algorithm for generating Pythagorean triples A new lgorithm for generting Pythgoren triples RH Dye 1 nd RWD Nicklls 2 The Mthemticl Gzette (1998); 82 (Mrch, No. 493), p. 86 91 (JSTOR rchive) http://www.nicklls.org/dick/ppers/mths/pythgtriples1998.pdf

More information

Small Business Networking

Small Business Networking Why network is n essentil productivity tool for ny smll business Effective technology is essentil for smll businesses looking to increse the productivity of their people nd business. Introducing technology

More information

Active & Retiree Plan: Trustees of the Milwaukee Roofers Health Fund Coverage Period: 06/01/2015-05/31/2016 Summary of Benefits and Coverage:

Active & Retiree Plan: Trustees of the Milwaukee Roofers Health Fund Coverage Period: 06/01/2015-05/31/2016 Summary of Benefits and Coverage: Summry of Benefits nd Coverge: Wht this Pln Covers & Wht it Costs Coverge for: Single & Fmily Pln Type: NPOS This is only summry. If you wnt more detil bout your coverge nd costs, you cn get the complete

More information

Your duty, however, does not require disclosure of matter:

Your duty, however, does not require disclosure of matter: Your Duty of Disclosure Before you enter into contrct of generl insurnce with n insurer, you hve duty, under the Insurnce Contrcts Act 1984 (Cth), to disclose to the insurer every mtter tht you know, or

More information

Small Business Networking

Small Business Networking Why network is n essentil productivity tool for ny smll business Effective technology is essentil for smll businesses looking to increse the productivity of their people nd processes. Introducing technology

More information

Operations with Polynomials

Operations with Polynomials 38 Chpter P Prerequisites P.4 Opertions with Polynomils Wht you should lern: Write polynomils in stndrd form nd identify the leding coefficients nd degrees of polynomils Add nd subtrct polynomils Multiply

More information

Ridgewood South Natural Areas Priority Evaluation. Background Report

Ridgewood South Natural Areas Priority Evaluation. Background Report Ridgewood South Nturl Ares Priority Evlution Bckground Report September 2013 Ridgewood South Nturl Ares Priority Evlution Bckground Report Ridgewood South Nturl Ares Priority Evlution Bckground Report

More information

AntiSpyware Enterprise Module 8.5

AntiSpyware Enterprise Module 8.5 AntiSpywre Enterprise Module 8.5 Product Guide Aout the AntiSpywre Enterprise Module The McAfee AntiSpywre Enterprise Module 8.5 is n dd-on to the VirusScn Enterprise 8.5i product tht extends its ility

More information

Math 135 Circles and Completing the Square Examples

Math 135 Circles and Completing the Square Examples Mth 135 Circles nd Completing the Squre Exmples A perfect squre is number such tht = b 2 for some rel number b. Some exmples of perfect squres re 4 = 2 2, 16 = 4 2, 169 = 13 2. We wish to hve method for

More information

Health insurance marketplace What to expect in 2014

Health insurance marketplace What to expect in 2014 Helth insurnce mrketplce Wht to expect in 2014 33096VAEENBVA 06/13 The bsics of the mrketplce As prt of the Affordble Cre Act (ACA or helth cre reform lw), strting in 2014 ALL Americns must hve minimum

More information

Biostatistics 103: Qualitative Data Tests of Independence

Biostatistics 103: Qualitative Data Tests of Independence Singpore Med J 2003 Vol 44(10) : 498-503 B s i c S t t i s t i c s F o r D o c t o r s Biosttistics 103: Qulittive Dt Tests of Independence Y H Chn Prmetric & non-prmetric tests (1) re used when the outcome

More information

Recognition Scheme Forensic Science Content Within Educational Programmes

Recognition Scheme Forensic Science Content Within Educational Programmes Recognition Scheme Forensic Science Content Within Eductionl Progrmmes one Introduction The Chrtered Society of Forensic Sciences (CSoFS) hs been ccrediting the forensic content of full degree courses

More information

CHAPTER 11 Numerical Differentiation and Integration

CHAPTER 11 Numerical Differentiation and Integration CHAPTER 11 Numericl Differentition nd Integrtion Differentition nd integrtion re bsic mthemticl opertions with wide rnge of pplictions in mny res of science. It is therefore importnt to hve good methods

More information

Curve Sketching. 96 Chapter 5 Curve Sketching

Curve Sketching. 96 Chapter 5 Curve Sketching 96 Chpter 5 Curve Sketching 5 Curve Sketching A B A B A Figure 51 Some locl mximum points (A) nd minimum points (B) If (x, f(x)) is point where f(x) reches locl mximum or minimum, nd if the derivtive of

More information

Small Business Networking

Small Business Networking Why network is n essentil productivity tool for ny smll business Effective technology is essentil for smll businesses looking to increse the productivity of their people nd processes. Introducing technology

More information

SyGEMe: Integrated Municipal Facilities Management of Water Ressources Swiss Geoscience Meeting, Neuchâtel, 21 novembre 2009 k

SyGEMe: Integrated Municipal Facilities Management of Water Ressources Swiss Geoscience Meeting, Neuchâtel, 21 novembre 2009 k SyGEMe: Integrted Municipl Fcilities Mngement of Wter Ressources Tool presenttion, choice of technology, mn-mchine mchine interfce, business opportunities nd prospects 1. Introduction 2. Mn-mchine interfce

More information

Data quality issues for accounting information systems implementation: Systems, stakeholders, and organizational factors

Data quality issues for accounting information systems implementation: Systems, stakeholders, and organizational factors Journl of Technology Reserch Dt qulity issues for ccounting informtion systems implementtion: Systems, stkeholders, nd orgniztionl fctors ABSTRACT Hongjing Xu Butler University Qulity informtion is one

More information

Current Topics. Implications for Compliance Organizations. Presentation to the IIB. October, 2015

Current Topics. Implications for Compliance Organizations. Presentation to the IIB. October, 2015 Current Topics Implictions for Complince Orgniztions Presenttion to the IIB October, 2015 This presenttion contins generl informtion only nd Deloitte is not, by mens of this presenttion, rendering ccounting,

More information

STA 2023 Test #3 Practice Multiple Choice

STA 2023 Test #3 Practice Multiple Choice STA 223 Test #3 Prctice Multiple Choice 1. A newspper conducted sttewide survey concerning the 1998 rce for stte sentor. The newspper took rndom smple (ssume it is n SRS) of 12 registered voters nd found

More information

Chapter 6 Solving equations

Chapter 6 Solving equations Chpter 6 Solving equtions Defining n eqution 6.1 Up to now we hve looked minly t epressions. An epression is n incomplete sttement nd hs no equl sign. Now we wnt to look t equtions. An eqution hs n = sign

More information

2001 Attachment Sequence No. 118

2001 Attachment Sequence No. 118 Form Deprtment of the Tresury Internl Revenue Service Importnt: Return of U.S. Persons With Respect to Certin Foreign Prtnerships Attch to your tx return. See seprte instructions. Informtion furnished

More information

Unleashing the Power of Cloud

Unleashing the Power of Cloud Unleshing the Power of Cloud A Joint White Pper by FusionLyer nd NetIQ Copyright 2015 FusionLyer, Inc. All rights reserved. No prt of this publiction my be reproduced, stored in retrievl system, or trnsmitted,

More information

Algebra Review. How well do you remember your algebra?

Algebra Review. How well do you remember your algebra? Algebr Review How well do you remember your lgebr? 1 The Order of Opertions Wht do we men when we write + 4? If we multiply we get 6 nd dding 4 gives 10. But, if we dd + 4 = 7 first, then multiply by then

More information

PROF. BOYAN KOSTADINOV NEW YORK CITY COLLEGE OF TECHNOLOGY, CUNY

PROF. BOYAN KOSTADINOV NEW YORK CITY COLLEGE OF TECHNOLOGY, CUNY MAT 0630 INTERNET RESOURCES, REVIEW OF CONCEPTS AND COMMON MISTAKES PROF. BOYAN KOSTADINOV NEW YORK CITY COLLEGE OF TECHNOLOGY, CUNY Contents 1. ACT Compss Prctice Tests 1 2. Common Mistkes 2 3. Distributive

More information

Suffix Trees CMSC 423

Suffix Trees CMSC 423 Suffix Trees CMSC 423 Preprocessing Strings Over the next few lectures, we ll see severl methods for preprocessing string dt into dt structures tht mke mny questions (like serching) esy to nswer: Suffix

More information

GFI MilArchiver 6 vs Quest Softwre Archive Mnger GFI Softwre www.gfi.com GFI MilArchiver 6 vs Quest Softwre Archive Mnger GFI MilArchiver 6 Quest Softwre Archive Mnger Who we re Generl fetures Supports

More information

Utilization of Smoking Cessation Benefits in Medicaid Managed Care, 2009-2013

Utilization of Smoking Cessation Benefits in Medicaid Managed Care, 2009-2013 Utiliztion of Smoking Cesstion Benefits in Medicid Mnged Cre, 2009-2013 Office of Qulity nd Ptient Sfety New York Stte Deprtment of Helth Jnury 2015 Introduction According to the New York Stte Tocco Control

More information

Integration. 148 Chapter 7 Integration

Integration. 148 Chapter 7 Integration 48 Chpter 7 Integrtion 7 Integrtion t ech, by supposing tht during ech tenth of second the object is going t constnt speed Since the object initilly hs speed, we gin suppose it mintins this speed, but

More information

QUESTIONNAIRE. 1. Your Name: 2. Age-group: Below 25 years 26-35 years. 3. Gender : Male Female. 4. Education : H.S.C or Below H.S.C.

QUESTIONNAIRE. 1. Your Name: 2. Age-group: Below 25 years 26-35 years. 3. Gender : Male Female. 4. Education : H.S.C or Below H.S.C. QUESTIONNAIRE A. PERSONAL DETAILS: 1. Your Nme: 2. Age-group: Below 25 yers 26-35 yers 36-45 yers Over 45 yers 3. Gender : Mle Femle 4. Eduction : H.S.C or Below H.S.C. Grdution Post-Grdution Any other

More information

Turing Machine Extensions

Turing Machine Extensions Red K & S 4.3.1, 4.4. Do Homework 19. Turing Mchine Extensions Turing Mchine Definitions An lterntive definition of Turing mchine: (K, Σ, Γ, δ, s, H): Γ is finite set of llowble tpe symbols. One of these

More information

Uniform convergence and its consequences

Uniform convergence and its consequences Uniform convergence nd its consequences The following issue is centrl in mthemtics: On some domin D, we hve sequence of functions {f n }. This mens tht we relly hve n uncountble set of ordinry sequences,

More information

11. Fourier series. sin mx cos nx dx = 0 for any m, n, sin 2 mx dx = π.

11. Fourier series. sin mx cos nx dx = 0 for any m, n, sin 2 mx dx = π. . Fourier series Summry of the bsic ides The following is quick summry of the introductory tretment of Fourier series in MATH. We consider function f with period π, tht is, stisfying f(x + π) = f(x) for

More information

TITLE THE PRINCIPLES OF COIN-TAP METHOD OF NON-DESTRUCTIVE TESTING

TITLE THE PRINCIPLES OF COIN-TAP METHOD OF NON-DESTRUCTIVE TESTING TITLE THE PRINCIPLES OF COIN-TAP METHOD OF NON-DESTRUCTIVE TESTING Sung Joon Kim*, Dong-Chul Che Kore Aerospce Reserch Institute, 45 Eoeun-Dong, Youseong-Gu, Dejeon, 35-333, Kore Phone : 82-42-86-231 FAX

More information

The Quadratic Formula and the Discriminant

The Quadratic Formula and the Discriminant 9-9 The Qudrtic Formul nd the Discriminnt Objectives Solve qudrtic equtions by using the Qudrtic Formul. Determine the number of solutions of qudrtic eqution by using the discriminnt. Vocbulry discriminnt

More information

Lecture 1: Introduction to Economics

Lecture 1: Introduction to Economics E111 Introduction to Economics ontct detils: E111 Introduction to Economics Ginluigi Vernsc Room: 5B.217 Office hours: Wednesdy 2pm to 4pm Emil: gvern@essex.c.uk Lecture 1: Introduction to Economics I

More information

Lesson 10. Parametric Curves

Lesson 10. Parametric Curves Return to List of Lessons Lesson 10. Prmetric Curves (A) Prmetric Curves If curve fils the Verticl Line Test, it cn t be expressed by function. In this cse you will encounter problem if you try to find

More information

Regular Sets and Expressions

Regular Sets and Expressions Regulr Sets nd Expressions Finite utomt re importnt in science, mthemtics, nd engineering. Engineers like them ecuse they re super models for circuits (And, since the dvent of VLSI systems sometimes finite

More information

Greg Pope, Analytics and Psychometrics Manager 11am-12:30pm, Monday March 15

Greg Pope, Analytics and Psychometrics Manager 11am-12:30pm, Monday March 15 Greg Pope, Anlytics nd Psychometrics Mnger 11m-12:30pm, Mondy Mrch 15 My bckground in eductionl nd psychologicl mesurement (psychometrics) Been in the testing industry for bout 14 yers Spent 7 yers s psychometricin

More information

Chromebook Parent/Student Information

Chromebook Parent/Student Information Chromebook Prent/Student Informtion 1 Receiving Your Chromebook Student Distribution Students will receive their Chromebooks nd cses during school. Students nd prents must sign the School City of Hmmond

More information

pork.org Pork Industry Productivity Analysis National Pork Board Research Grant Report Dr. Kenneth J. Stalder, Iowa State University

pork.org Pork Industry Productivity Analysis National Pork Board Research Grant Report Dr. Kenneth J. Stalder, Iowa State University pork.org 800-456-7675 Complete REPORT Pork Industry Productivity Anlysis Ntionl Pork Bord Reserch Grnt Report Dr. Kenneth J. Stlder, Iow Stte University Industry Summry The swine industry, like ny industry,

More information

Phys 207. Announcements. Hwk3 is posted on course website Quizzes & answers will be posted on course website Formula sheets.

Phys 207. Announcements. Hwk3 is posted on course website Quizzes & answers will be posted on course website Formula sheets. Phys 07 Announcements Hwk3 is posted on course website Quizzes & nswers will be posted on course website ormul sheets Newton s 3 lws Tody s Agend How nd why do objects move? Dynmics 1 Dynmics Isc Newton

More information

Addition and subtraction of rational expressions

Addition and subtraction of rational expressions Lecture 5. Addition nd subtrction of rtionl expressions Two rtionl expressions in generl hve different denomintors, therefore if you wnt to dd or subtrct them you need to equte the denomintors first. The

More information

Pre-Approval Application

Pre-Approval Application Pre-Approvl Appliction In tody s rel estte mrket, Pre-Approved mortgge provides you the buyer with powerful tool in the home purchse process! Once you hve received your Pre-Approvl, you cn shop for your

More information

Roudmup for Los Angeles Pierce College ADIV Program ancl csu Dominguez Hilk Rlt-B^sr/ progrum

Roudmup for Los Angeles Pierce College ADIV Program ancl csu Dominguez Hilk Rlt-B^sr/ progrum Roudmup for Los Angeles Pierce College ADIV Progrm ncl csu Dominguez Hilk Rlt-B^sr/ progrum Admission Requirements for Los Angeles pierce (LApC) LAPC hs four-semester Associte Degree in Nursing (ADN) Progrm.

More information

Numeracy across the Curriculum in Key Stages 3 and 4. Helpful advice and suggested resources from the Leicestershire Secondary Mathematics Team

Numeracy across the Curriculum in Key Stages 3 and 4. Helpful advice and suggested resources from the Leicestershire Secondary Mathematics Team Numercy cross the Curriculum in Key Stges 3 nd 4 Helpful dvice nd suggested resources from the Leicestershire Secondry Mthemtics Tem 1 Contents pge The development of whole school policy 3 A definition

More information

C-crcs Cognitive - Counselling Research & Conference Services (eissn: 2301-2358)

C-crcs Cognitive - Counselling Research & Conference Services (eissn: 2301-2358) C-crcs Cognitive - Counselling Reserch & Conference Services (eissn: 2301-2358) Volume I Effects of Music Composition Intervention on Elementry School Children b M. Hogenes, B. Vn Oers, R. F. W. Diekstr,

More information

Health insurance exchanges What to expect in 2014

Health insurance exchanges What to expect in 2014 Helth insurnce exchnges Wht to expect in 2014 33096CAEENABC 11/12 The bsics of exchnges As prt of the Affordble Cre Act (ACA or helth cre reform lw), strting in 2014 ALL Americns must hve minimum mount

More information

Small Businesses Decisions to Offer Health Insurance to Employees

Small Businesses Decisions to Offer Health Insurance to Employees Smll Businesses Decisions to Offer Helth Insurnce to Employees Ctherine McLughlin nd Adm Swinurn, June 2014 Employer-sponsored helth insurnce (ESI) is the dominnt source of coverge for nonelderly dults

More information

AutoMax Auto Feed Shredders 2015

AutoMax Auto Feed Shredders 2015 AutoMx Auto Feed Shredders 20 Revolutionizing the Wy You Shred True innovtion brings meningful chnge nd vlue to n industry. When developing our uto feed technologies the focus ws on trnsforming the shredder

More information

baby on the way, quit today

baby on the way, quit today for mums-to-be bby on the wy, quit tody WHAT YOU NEED TO KNOW bout smoking nd pregnncy uitting smoking is the best thing you cn do for your bby We know tht it cn be difficult to quit smoking. But we lso

More information