Benchmark Databases for Testing Big-Data Analytics In Cloud Environments

Size: px
Start display at page:

Download "Benchmark Databases for Testing Big-Data Analytics In Cloud Environments"

Transcription

1 North Carolina State University Graduate Program in Operations Research Benchmark Databases for Testing Big-Data Analytics In Cloud Environments Rong Huang Rada Chirkova Yahya Fathi ICA CON 2012 April 20, 2012

2 Background One major advantage of using computing clouds lies in their applicability to large-scale data warehousing and analytics. Computing clouds can host very large amounts of data and provide efficient parallelized processing of complex analytics queries on the data. Enterprise data-cloud solutions for large-scale data warehousing and analytics are highly desirable. Our goal is to provide synthetically generated benchmark databases for testing the performance and other processing aspects of database systems in a computing-cloud environment. 2

3 Relational Storage of Data Pos: itemid storeid date amount Items: itemid name category 3

4 Query Processing Q: Give me total sales Give me recent total sales for all products in the Bay by store Area ID for all appliances 4

5 Query Processing SELECT storeid, SUM(amount) FROM pos P, items I WHERE P.itemID = I.itemID AND category = 'appliances GROUP BY storeid; storeid SUM(amount) $27, $54, $41,

6 Queries and Views V: total sales by store ID and by item category Q: Give me total sales by store ID for all appliances storeid SUM(amount) $27, $54, $41, storeid category SUM(amount) appliances $27, clothing $45, electronics $50, appliances $54, clothing $60, electronics $82, appliances $41,

7 View lattice Views with grouping and aggregation on a given relation. Given a -attribute dataset, the number of views is 2. Measure the size of each view by its number of rows. {a,b,c,d} 25 {a,b,c} {a,b,d} {a,c,d} {b,c,d} {a,b} 7 {a,c} {b,c} {b,d} {c,d} {b} {c} 4 5 7

8 TPC-H Datasets The TPC-H synthetic database generator is widely recognized as a standard benchmark database generator for data analytics. We have discovered in our work, the TPC-H benchmark has potential shortcomings when used to test the quality of algorithms developed for efficient processing of complex analytics queries. The TPC-H dataset does not distinguish between view sizes. 8

9 The Potential Shortcomings of TPC-H datasets The size of a great number of views is close to that of the largest view. Total number of attributes Number of views within 0.1% size difference from the largest view Total number of views Ratio 300, , % 13 6,192 8, % 15 27,318 32, % , , % 300,000 We would always prefer to store the largest view

10 Our Contribution We define three types of synthetic datasets, which do not have the shortcomings that we have observed in the TPC-H data. We introduce algorithms for generating all the three types of datasets in any range of data sizes, which allows one to use the datasets in a variety of configurations and scales of cloud environments. Our datasets are complementary to the TPC-H datasets in testing the processing performance of complex analytics queries in the cloud environments. 10

11 The Symmetric Synthetic Datasets : total number of attributes in the dataset : number of values for each attribute Number of rows: 3, 2 A B C Example 1: 3, , Attributes: A B C Number of rows:

12 Views in the Symmetric Synthetic Datasets The size of each -attribute view over, is. The size of an ancestor is at least times the size of its descendant. Example 1 (cont d): 3, 2 {A,B,C} 8 {A,B} {A,C} 4 4 {B,C} 4 {A} 2 {B} 2 {C} 2 12

13 Symmetric Synthetic Datasets Symmetric properties of the datasets Significant size difference between each pair of ancestor-descendant views. The datasets does not distinguish between the sizes of the views with same number of attributes. 13

14 Type I Non-Symmetric Synthetic Datasets, The number of values of each attribute differs:,,, Example 2: 3; 2, 3, 4 3, 2, 3, 4 Attributes: A B C Number of rows: A B C ; 2, 3,

15 Views in the Type I Non-Symmetric Synthetic Datasets A -attribute view,,, with values,,, The size (number of rows): Example 2 (cont d): 3; 2, 3, 4 {A,B,C} 24 {A,B} {A,C} 6 8 {B,C} 12 {A} 2 {B} 3 {C} 4 15

16 Type I Non-Symmetric Synthetic Datasets Type I non-symmetric synthetic dataset distinguishes between any pair of view sizes. Relatively large difference in size between each pair of ancestordescendant views. The size of each view is at least twice of the size of its descendant. We would always prefer to store the answer of each query. 16

17 Type II Non-Symmetric Synthetic Datasets Objectives: break the symmetric properties and reduce the size difference between adjacent ancestor-descendant pair of views. Conduct an elimination procedure over the rows in a given type I non-symmetric synthetic dataset. For each attribute, we conduct a two-step sub-elimination process Step 1: Eliminate each row with probability Step 2: For each row r that is eliminated in step 1, we also eliminate the rows in the master table with the same values as r of all attributes except 17

18 Type II Non-Symmetric Synthetic Datasets Input: ;,, and Choose,,, such that Output: a type II non-symmetric synthetic dataset, such that the expected number of rows in is greater than or equal to 18

19 Type II Non-Symmetric Synthetic Datasets Example 3: Input 3; 2, 3, 4 and 10. Choose 0.9 A B C ; 2, 3, 4 A B C A B C

20 Views in the Type II Non-Symmetric Synthetic Datasets Example 3 (cont d): {A,B,C} 10 {A,B} {A,C} 5 5 {B,C} 8 {A} 2 {B} 3 {C} 4 20

21 Experimental Results A performance measure % % % % % Type I non-symmetric dataset TPC-H dataset % 0.00% β 21

22 Conclusion We define a symmetric synthetic dataset and two types of nonsymmetric synthetic datasets. We studied shortcomings of the TPC-H datasets in testing algorithms devised for improving query-processing performance for complex queries posed on large-scale data. We compare these datasets experimentally with our proposed synthetic datasets in a setting for testing in such algorithms. All the synthetic datasets that we proposed in this paper are beneficial for testing algorithms devised for improving queryprocessing performance in cloud computing 22

23 Thank You! 23

Unique column combinations

Unique column combinations Unique column combinations Arvid Heise Guest lecture in Data Profiling and Data Cleansing Prof. Dr. Felix Naumann Agenda 2 Introduction and problem statement Unique column combinations Exponential search

More information

Online EFFECTIVE AS OF JANUARY 2013

Online EFFECTIVE AS OF JANUARY 2013 2013 A and C Session Start Dates (A-B Quarter Sequence*) 2013 B and D Session Start Dates (B-A Quarter Sequence*) Quarter 5 2012 1205A&C Begins November 5, 2012 1205A Ends December 9, 2012 Session Break

More information

How to bet using different NairaBet Bet Combinations (Combo)

How to bet using different NairaBet Bet Combinations (Combo) How to bet using different NairaBet Bet Combinations (Combo) SINGLES Singles consists of single bets. I.e. it will contain just a single selection of any sport. The bet slip of a singles will look like

More information

Boolean Algebra (cont d) UNIT 3 BOOLEAN ALGEBRA (CONT D) Guidelines for Multiplying Out and Factoring. Objectives. Iris Hui-Ru Jiang Spring 2010

Boolean Algebra (cont d) UNIT 3 BOOLEAN ALGEBRA (CONT D) Guidelines for Multiplying Out and Factoring. Objectives. Iris Hui-Ru Jiang Spring 2010 Boolean Algebra (cont d) 2 Contents Multiplying out and factoring expressions Exclusive-OR and Exclusive-NOR operations The consensus theorem Summary of algebraic simplification Proving validity of an

More information

Data Mining Apriori Algorithm

Data Mining Apriori Algorithm 10 Data Mining Apriori Algorithm Apriori principle Frequent itemsets generation Association rules generation Section 6 of course book TNM033: Introduction to Data Mining 1 Association Rule Mining (ARM)

More information

Boolean Algebra Part 1

Boolean Algebra Part 1 Boolean Algebra Part 1 Page 1 Boolean Algebra Objectives Understand Basic Boolean Algebra Relate Boolean Algebra to Logic Networks Prove Laws using Truth Tables Understand and Use First Basic Theorems

More information

Unit 3 Boolean Algebra (Continued)

Unit 3 Boolean Algebra (Continued) Unit 3 Boolean Algebra (Continued) 1. Exclusive-OR Operation 2. Consensus Theorem Department of Communication Engineering, NCTU 1 3.1 Multiplying Out and Factoring Expressions Department of Communication

More information

Introduction. The Quine-McCluskey Method Handout 5 January 21, 2016. CSEE E6861y Prof. Steven Nowick

Introduction. The Quine-McCluskey Method Handout 5 January 21, 2016. CSEE E6861y Prof. Steven Nowick CSEE E6861y Prof. Steven Nowick The Quine-McCluskey Method Handout 5 January 21, 2016 Introduction The Quine-McCluskey method is an exact algorithm which finds a minimum-cost sum-of-products implementation

More information

CH3 Boolean Algebra (cont d)

CH3 Boolean Algebra (cont d) CH3 Boolean Algebra (cont d) Lecturer: 吳 安 宇 Date:2005/10/7 ACCESS IC LAB v Today, you ll know: Introduction 1. Guidelines for multiplying out/factoring expressions 2. Exclusive-OR and Equivalence operations

More information

TIgeometry.com. Geometry. Angle Bisectors in a Triangle

TIgeometry.com. Geometry. Angle Bisectors in a Triangle Angle Bisectors in a Triangle ID: 8892 Time required 40 minutes Topic: Triangles and Their Centers Use inductive reasoning to postulate a relationship between an angle bisector and the arms of the angle.

More information

United States Naval Academy Electrical and Computer Engineering Department. EC262 Exam 1

United States Naval Academy Electrical and Computer Engineering Department. EC262 Exam 1 United States Naval Academy Electrical and Computer Engineering Department EC262 Exam 29 September 2. Do a page check now. You should have pages (cover & questions). 2. Read all problems in their entirety.

More information

DEFINITIONS. Perpendicular Two lines are called perpendicular if they form a right angle.

DEFINITIONS. Perpendicular Two lines are called perpendicular if they form a right angle. DEFINITIONS Degree A degree is the 1 th part of a straight angle. 180 Right Angle A 90 angle is called a right angle. Perpendicular Two lines are called perpendicular if they form a right angle. Congruent

More information

Lecture Notes on Database Normalization

Lecture Notes on Database Normalization Lecture Notes on Database Normalization Chengkai Li Department of Computer Science and Engineering The University of Texas at Arlington April 15, 2012 I decided to write this document, because many students

More information

Practical Geometry CHAPTER. 4.1 Introduction DO THIS

Practical Geometry CHAPTER. 4.1 Introduction DO THIS PRACTICAL GEOMETRY 57 Practical Geometry CHAPTER 4 4.1 Introduction You have learnt how to draw triangles in Class VII. We require three measurements (of sides and angles) to draw a unique triangle. Since

More information

Quadrilateral Geometry. Varignon s Theorem I. Proof 10/21/2011 S C. MA 341 Topics in Geometry Lecture 19

Quadrilateral Geometry. Varignon s Theorem I. Proof 10/21/2011 S C. MA 341 Topics in Geometry Lecture 19 Quadrilateral Geometry MA 341 Topics in Geometry Lecture 19 Varignon s Theorem I The quadrilateral formed by joining the midpoints of consecutive sides of any quadrilateral is a parallelogram. PQRS is

More information

Part 2: Community Detection

Part 2: Community Detection Chapter 8: Graph Data Part 2: Community Detection Based on Leskovec, Rajaraman, Ullman 2014: Mining of Massive Datasets Big Data Management and Analytics Outline Community Detection - Social networks -

More information

How To Win At A Game Of Monopoly On The Moon

How To Win At A Game Of Monopoly On The Moon Changing the Face of Database Cloud Services with Personalized Service Level Agreements Jennifer Ortiz, Victor Teixeira de Almeida, Magdalena Balazinska University of Washington, Computer Science and Engineering

More information

Efficient Computation of Multiple Group By Queries Zhimin Chen Vivek Narasayya

Efficient Computation of Multiple Group By Queries Zhimin Chen Vivek Narasayya Efficient Computation of Multiple Group By Queries Zhimin Chen Vivek Narasayya Microsoft Research {zmchen, viveknar}@microsoft.com ABSTRACT Data analysts need to understand the quality of data in the warehouse.

More information

Intermediate Math Circles October 10, 2012 Geometry I: Angles

Intermediate Math Circles October 10, 2012 Geometry I: Angles Intermediate Math Circles October 10, 2012 Geometry I: Angles Over the next four weeks, we will look at several geometry topics. Some of the topics may be familiar to you while others, for most of you,

More information

Effective Pruning for the Discovery of Conditional Functional Dependencies

Effective Pruning for the Discovery of Conditional Functional Dependencies Effective Pruning for the Discovery of Conditional Functional Dependencies Jiuyong Li 1, Jiuxue Liu 1, Hannu Toivonen 2, Jianming Yong 3 1 School of Computer and Information Science, University of South

More information

Data Mining: Partially from: Introduction to Data Mining by Tan, Steinbach, Kumar

Data Mining: Partially from: Introduction to Data Mining by Tan, Steinbach, Kumar Data Mining: Association Analysis Partially from: Introduction to Data Mining by Tan, Steinbach, Kumar Association Rule Mining Given a set of transactions, find rules that will predict the occurrence of

More information

http://jsuniltutorial.weebly.com/ Page 1

http://jsuniltutorial.weebly.com/ Page 1 Parallelogram solved Worksheet/ Questions Paper 1.Q. Name each of the following parallelograms. (i) The diagonals are equal and the adjacent sides are unequal. (ii) The diagonals are equal and the adjacent

More information

Class One: Degree Sequences

Class One: Degree Sequences Class One: Degree Sequences For our purposes a graph is a just a bunch of points, called vertices, together with lines or curves, called edges, joining certain pairs of vertices. Three small examples of

More information

Geometry 1. Unit 3: Perpendicular and Parallel Lines

Geometry 1. Unit 3: Perpendicular and Parallel Lines Geometry 1 Unit 3: Perpendicular and Parallel Lines Geometry 1 Unit 3 3.1 Lines and Angles Lines and Angles Parallel Lines Parallel lines are lines that are coplanar and do not intersect. Some examples

More information

HOW TO USE MINITAB: DESIGN OF EXPERIMENTS. Noelle M. Richard 08/27/14

HOW TO USE MINITAB: DESIGN OF EXPERIMENTS. Noelle M. Richard 08/27/14 HOW TO USE MINITAB: DESIGN OF EXPERIMENTS 1 Noelle M. Richard 08/27/14 CONTENTS 1. Terminology 2. Factorial Designs When to Use? (preliminary experiments) Full Factorial Design General Full Factorial Design

More information

Lecture 24: Saccheri Quadrilaterals

Lecture 24: Saccheri Quadrilaterals Lecture 24: Saccheri Quadrilaterals 24.1 Saccheri Quadrilaterals Definition In a protractor geometry, we call a quadrilateral ABCD a Saccheri quadrilateral, denoted S ABCD, if A and D are right angles

More information

Die Welt Multimedia-Reichweite

Die Welt Multimedia-Reichweite Die Welt Multimedia-Reichweite 1) Background The quantification of Die Welt s average daily audience (known as Multimedia-Reichweite, MMR) has been developed by Die Welt management, including the research

More information

MB2-707: Version: Microsoft Dynamics CRM Customization. and Configuration. Demo

MB2-707: Version: Microsoft Dynamics CRM Customization. and Configuration. Demo MB2-707: Version: Microsoft Dynamics CRM Customization and Configuration Demo 1. You are a Microsoft Dynamics CRM consultant. You are assigned a new implementation. Before you configure the customer's

More information

Database Design and Normalization

Database Design and Normalization Database Design and Normalization Chapter 10 (Week 11) EE562 Slides and Modified Slides from Database Management Systems, R. Ramakrishnan 1 Computing Closure F + Example: List all FDs with: - a single

More information

@12 @1. G5 definition s. G1 Little devils. G3 false proofs. G2 sketches. G1 Little devils. G3 definition s. G5 examples and counters

@12 @1. G5 definition s. G1 Little devils. G3 false proofs. G2 sketches. G1 Little devils. G3 definition s. G5 examples and counters Class #31 @12 @1 G1 Little devils G2 False proofs G3 definition s G4 sketches G5 examples and counters G1 Little devils G2 sketches G3 false proofs G4 examples and counters G5 definition s Jacob Amanda

More information

Angles in a Circle and Cyclic Quadrilateral

Angles in a Circle and Cyclic Quadrilateral 130 Mathematics 19 Angles in a Circle and Cyclic Quadrilateral 19.1 INTRODUCTION You must have measured the angles between two straight lines, let us now study the angles made by arcs and chords in a circle

More information

Databases -Normalization III. (N Spadaccini 2010 and W Liu 2012) Databases - Normalization III 1 / 31

Databases -Normalization III. (N Spadaccini 2010 and W Liu 2012) Databases - Normalization III 1 / 31 Databases -Normalization III (N Spadaccini 2010 and W Liu 2012) Databases - Normalization III 1 / 31 This lecture This lecture describes 3rd normal form. (N Spadaccini 2010 and W Liu 2012) Databases -

More information

San Jose Math Circle April 25 - May 2, 2009 ANGLE BISECTORS

San Jose Math Circle April 25 - May 2, 2009 ANGLE BISECTORS San Jose Math Circle April 25 - May 2, 2009 ANGLE BISECTORS Recall that the bisector of an angle is the ray that divides the angle into two congruent angles. The most important results about angle bisectors

More information

Comparison of Distributed Data- Parallelization Patterns for Big Data Analysis: A Bioinformatics Case Study!

Comparison of Distributed Data- Parallelization Patterns for Big Data Analysis: A Bioinformatics Case Study! Comparison of Distributed Data- Parallelization Patterns for Big Data Analysis: A Bioinformatics Case Study! Jianwu Wang, Daniel Crawl, Ilkay Altintas! Kostas Tzoumas, Volker Markl! San Diego Supercomputer

More information

Geometry Module 4 Unit 2 Practice Exam

Geometry Module 4 Unit 2 Practice Exam Name: Class: Date: ID: A Geometry Module 4 Unit 2 Practice Exam Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which diagram shows the most useful positioning

More information

Chapter 1. The Medial Triangle

Chapter 1. The Medial Triangle Chapter 1. The Medial Triangle 2 The triangle formed by joining the midpoints of the sides of a given triangle is called the medial triangle. Let A 1 B 1 C 1 be the medial triangle of the triangle ABC

More information

Most popular response to

Most popular response to Class #33 Most popular response to What did the students want to prove? The angle bisectors of a square meet at a point. A square is a convex quadrilateral in which all sides are congruent and all angles

More information

Section 8.8. 1. The given line has equations. x = 3 + t(13 3) = 3 + 10t, y = 2 + t(3 + 2) = 2 + 5t, z = 7 + t( 8 7) = 7 15t.

Section 8.8. 1. The given line has equations. x = 3 + t(13 3) = 3 + 10t, y = 2 + t(3 + 2) = 2 + 5t, z = 7 + t( 8 7) = 7 15t. . The given line has equations Section 8.8 x + t( ) + 0t, y + t( + ) + t, z 7 + t( 8 7) 7 t. The line meets the plane y 0 in the point (x, 0, z), where 0 + t, or t /. The corresponding values for x and

More information

The Cubetree Storage Organization

The Cubetree Storage Organization The Cubetree Storage Organization Nick Roussopoulos & Yannis Kotidis Advanced Communication Technology, Inc. Silver Spring, MD 20905 Tel: 301-384-3759 Fax: 301-384-3679 {nick,kotidis}@act-us.com 1. Introduction

More information

Karnaugh Maps & Combinational Logic Design. ECE 152A Winter 2012

Karnaugh Maps & Combinational Logic Design. ECE 152A Winter 2012 Karnaugh Maps & Combinational Logic Design ECE 52A Winter 22 Reading Assignment Brown and Vranesic 4 Optimized Implementation of Logic Functions 4. Karnaugh Map 4.2 Strategy for Minimization 4.2. Terminology

More information

Classify then Summarize or Summarize then Classify

Classify then Summarize or Summarize then Classify Classify then Summarize or Summarize then Classify DIMACS, Rutgers University Piscataway, NJ 08854 Workshop Honoring Edwin Diday held on September 4, 2007 What is Cluster Analysis? Software package? Collection

More information

GEOMETRY - QUARTER 1 BENCHMARK

GEOMETRY - QUARTER 1 BENCHMARK Name: Class: _ Date: _ GEOMETRY - QUARTER 1 BENCHMARK Multiple Choice Identify the choice that best completes the statement or answers the question. Refer to Figure 1. Figure 1 1. What is another name

More information

http://www.castlelearning.com/review/teacher/assignmentprinting.aspx 5. 2 6. 2 1. 10 3. 70 2. 55 4. 180 7. 2 8. 4

http://www.castlelearning.com/review/teacher/assignmentprinting.aspx 5. 2 6. 2 1. 10 3. 70 2. 55 4. 180 7. 2 8. 4 of 9 1/28/2013 8:32 PM Teacher: Mr. Sime Name: 2 What is the slope of the graph of the equation y = 2x? 5. 2 If the ratio of the measures of corresponding sides of two similar triangles is 4:9, then the

More information

The common ratio in (ii) is called the scaled-factor. An example of two similar triangles is shown in Figure 47.1. Figure 47.1

The common ratio in (ii) is called the scaled-factor. An example of two similar triangles is shown in Figure 47.1. Figure 47.1 47 Similar Triangles An overhead projector forms an image on the screen which has the same shape as the image on the transparency but with the size altered. Two figures that have the same shape but not

More information

- 3 - Overview of benchmark evaluation About the joint R&D of the ultrafast database engine by IIS and Hitachi

- 3 - Overview of benchmark evaluation About the joint R&D of the ultrafast database engine by IIS and Hitachi - more - FOR IMMEDIATE RELEASE Hitachi's Database Product Based on Achievement of Collaborative Research by Institute of Industrial Science, the University of Tokyo and Hitachi Obtains the World's First

More information

The Handshake Problem

The Handshake Problem The Handshake Problem Tamisha is in a Geometry class with 5 students. On the first day of class her teacher asks everyone to shake hands and introduce themselves to each other. Tamisha wants to know how

More information

Can the Elephants Handle the NoSQL Onslaught?

Can the Elephants Handle the NoSQL Onslaught? Can the Elephants Handle the NoSQL Onslaught? Avrilia Floratou, Nikhil Teletia David J. DeWitt, Jignesh M. Patel, Donghui Zhang University of Wisconsin-Madison Microsoft Jim Gray Systems Lab Presented

More information

Algebraic Properties and Proofs

Algebraic Properties and Proofs Algebraic Properties and Proofs Name You have solved algebraic equations for a couple years now, but now it is time to justify the steps you have practiced and now take without thinking and acting without

More information

Graph Database Proof of Concept Report

Graph Database Proof of Concept Report Objectivity, Inc. Graph Database Proof of Concept Report Managing The Internet of Things Table of Contents Executive Summary 3 Background 3 Proof of Concept 4 Dataset 4 Process 4 Query Catalog 4 Environment

More information

Advanced Security for Account Managers-ASAM

Advanced Security for Account Managers-ASAM Advanced Security for Account Managers-ASAM Number: 646-580 Passing Score: 800 Time Limit: 120 min File Version: 1.0 http://www.gratisexam.com/ Exam A QUESTION 1 What are three major trends that fuel the

More information

Data Mining Association Analysis: Basic Concepts and Algorithms. Lecture Notes for Chapter 6. Introduction to Data Mining

Data Mining Association Analysis: Basic Concepts and Algorithms. Lecture Notes for Chapter 6. Introduction to Data Mining Data Mining Association Analysis: Basic Concepts and Algorithms Lecture Notes for Chapter 6 Introduction to Data Mining by Tan, Steinbach, Kumar Tan,Steinbach, Kumar Introduction to Data Mining 4/8/24

More information

642-385 Exam Questions Demo http://www.certshared.com/exam/642-385/ Cisco. Exam Questions 642-385. Cisco Express Foundation for Field Engineers

642-385 Exam Questions Demo http://www.certshared.com/exam/642-385/ Cisco. Exam Questions 642-385. Cisco Express Foundation for Field Engineers Cisco Exam Questions 642-385 Cisco Express Foundation for Field Engineers Version:Demo 1. Which two questions should you ask when assessing an organization\'s security needs? (Choose two.) A. Are you exploring

More information

Graphalytics: A Big Data Benchmark for Graph-Processing Platforms

Graphalytics: A Big Data Benchmark for Graph-Processing Platforms Graphalytics: A Big Data Benchmark for Graph-Processing Platforms Mihai Capotă, Tim Hegeman, Alexandru Iosup, Arnau Prat-Pérez, Orri Erling, Peter Boncz Delft University of Technology Universitat Politècnica

More information

Geometry Regents Review

Geometry Regents Review Name: Class: Date: Geometry Regents Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. If MNP VWX and PM is the shortest side of MNP, what is the shortest

More information

Sample Test Questions

Sample Test Questions mathematics College Algebra Geometry Trigonometry Sample Test Questions A Guide for Students and Parents act.org/compass Note to Students Welcome to the ACT Compass Sample Mathematics Test! You are about

More information

Inversion. Chapter 7. 7.1 Constructing The Inverse of a Point: If P is inside the circle of inversion: (See Figure 7.1)

Inversion. Chapter 7. 7.1 Constructing The Inverse of a Point: If P is inside the circle of inversion: (See Figure 7.1) Chapter 7 Inversion Goal: In this chapter we define inversion, give constructions for inverses of points both inside and outside the circle of inversion, and show how inversion could be done using Geometer

More information

MAXIMAL FREQUENT ITEMSET GENERATION USING SEGMENTATION APPROACH

MAXIMAL FREQUENT ITEMSET GENERATION USING SEGMENTATION APPROACH MAXIMAL FREQUENT ITEMSET GENERATION USING SEGMENTATION APPROACH M.Rajalakshmi 1, Dr.T.Purusothaman 2, Dr.R.Nedunchezhian 3 1 Assistant Professor (SG), Coimbatore Institute of Technology, India, rajalakshmi@cit.edu.in

More information

The Inversion Transformation

The Inversion Transformation The Inversion Transformation A non-linear transformation The transformations of the Euclidean plane that we have studied so far have all had the property that lines have been mapped to lines. Transformations

More information

Designing and Using Views To Improve Performance of Aggregate Queries

Designing and Using Views To Improve Performance of Aggregate Queries Designing and Using Views To Improve Performance of Aggregate Queries Foto Afrati 1, Rada Chirkova 2, Shalu Gupta 2, and Charles Loftis 2 1 Computer Science Division, National Technical University of Athens,

More information

CHAPTER 1. LINES AND PLANES IN SPACE

CHAPTER 1. LINES AND PLANES IN SPACE CHAPTER 1. LINES AND PLANES IN SPACE 1. Angles and distances between skew lines 1.1. Given cube ABCDA 1 B 1 C 1 D 1 with side a. Find the angle and the distance between lines A 1 B and AC 1. 1.2. Given

More information

Selected practice exam solutions (part 5, item 2) (MAT 360)

Selected practice exam solutions (part 5, item 2) (MAT 360) Selected practice exam solutions (part 5, item ) (MAT 360) Harder 8,91,9,94(smaller should be replaced by greater )95,103,109,140,160,(178,179,180,181 this is really one problem),188,193,194,195 8. On

More information

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Wednesday, January 29, 2014 9:15 a.m. to 12:15 p.m.

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Wednesday, January 29, 2014 9:15 a.m. to 12:15 p.m. GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Wednesday, January 29, 2014 9:15 a.m. to 12:15 p.m., only Student Name: School Name: The possession or use of any

More information

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Thursday, January 24, 2013 9:15 a.m. to 12:15 p.m.

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Thursday, January 24, 2013 9:15 a.m. to 12:15 p.m. GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Thursday, January 24, 2013 9:15 a.m. to 12:15 p.m., only Student Name: School Name: The possession or use of any

More information

Shroudbase Technical Overview

Shroudbase Technical Overview Shroudbase Technical Overview Differential Privacy Differential privacy is a rigorous mathematical definition of database privacy developed for the problem of privacy preserving data analysis. Specifically,

More information

Combinations and Permutations Grade Eight

Combinations and Permutations Grade Eight Ohio Standards Connection: Data Analysis and Probability Benchmark H Use counting techniques, such as permutations and combinations, to determine the total number of options and possible outcomes. Indicator

More information

Chapter 3. Inversion and Applications to Ptolemy and Euler

Chapter 3. Inversion and Applications to Ptolemy and Euler Chapter 3. Inversion and Applications to Ptolemy and Euler 2 Power of a point with respect to a circle Let A be a point and C a circle (Figure 1). If A is outside C and T is a point of contact of a tangent

More information

Overview. Introduction. Recommender Systems & Slope One Recommender. Distributed Slope One on Mahout and Hadoop. Experimental Setup and Analyses

Overview. Introduction. Recommender Systems & Slope One Recommender. Distributed Slope One on Mahout and Hadoop. Experimental Setup and Analyses Slope One Recommender on Hadoop YONG ZHENG Center for Web Intelligence DePaul University Nov 15, 2012 Overview Introduction Recommender Systems & Slope One Recommender Distributed Slope One on Mahout and

More information

1. Find the length of BC in the following triangles. It will help to first find the length of the segment marked X.

1. Find the length of BC in the following triangles. It will help to first find the length of the segment marked X. 1 Find the length of BC in the following triangles It will help to first find the length of the segment marked X a: b: Given: the diagonals of parallelogram ABCD meet at point O The altitude OE divides

More information

Copy in your notebook: Add an example of each term with the symbols used in algebra 2 if there are any.

Copy in your notebook: Add an example of each term with the symbols used in algebra 2 if there are any. Algebra 2 - Chapter Prerequisites Vocabulary Copy in your notebook: Add an example of each term with the symbols used in algebra 2 if there are any. P1 p. 1 1. counting(natural) numbers - {1,2,3,4,...}

More information

12. Parallels. Then there exists a line through P parallel to l.

12. Parallels. Then there exists a line through P parallel to l. 12. Parallels Given one rail of a railroad track, is there always a second rail whose (perpendicular) distance from the first rail is exactly the width across the tires of a train, so that the two rails

More information

Using the ac Method to Factor

Using the ac Method to Factor 4.6 Using the ac Method to Factor 4.6 OBJECTIVES 1. Use the ac test to determine factorability 2. Use the results of the ac test 3. Completely factor a trinomial In Sections 4.2 and 4.3 we used the trial-and-error

More information

4. How many integers between 2004 and 4002 are perfect squares?

4. How many integers between 2004 and 4002 are perfect squares? 5 is 0% of what number? What is the value of + 3 4 + 99 00? (alternating signs) 3 A frog is at the bottom of a well 0 feet deep It climbs up 3 feet every day, but slides back feet each night If it started

More information

MATH 102 College Algebra

MATH 102 College Algebra FACTORING Factoring polnomials ls is simpl the reverse process of the special product formulas. Thus, the reverse process of special product formulas will be used to factor polnomials. To factor polnomials

More information

Angle bisectors of a triangle in I 2

Angle bisectors of a triangle in I 2 Mathematical Communications 3(008), 97-05 97 Angle bisectors of a triangle in I Zdenka Kolar Begović,Ružica Kolar Šuper and Vladimir Volenec Abstract. The concept of an angle bisector of the triangle will

More information

How To Handle Big Data With A Data Scientist

How To Handle Big Data With A Data Scientist III Big Data Technologies Today, new technologies make it possible to realize value from Big Data. Big data technologies can replace highly customized, expensive legacy systems with a standard solution

More information

THREE DIMENSIONAL GEOMETRY

THREE DIMENSIONAL GEOMETRY Chapter 8 THREE DIMENSIONAL GEOMETRY 8.1 Introduction In this chapter we present a vector algebra approach to three dimensional geometry. The aim is to present standard properties of lines and planes,

More information

Mining Social Network Graphs

Mining Social Network Graphs Mining Social Network Graphs Debapriyo Majumdar Data Mining Fall 2014 Indian Statistical Institute Kolkata November 13, 17, 2014 Social Network No introduc+on required Really? We s7ll need to understand

More information

Students will be able to simplify and evaluate numerical and variable expressions using appropriate properties and order of operations.

Students will be able to simplify and evaluate numerical and variable expressions using appropriate properties and order of operations. Outcome 1: (Introduction to Algebra) Skills/Content 1. Simplify numerical expressions: a). Use order of operations b). Use exponents Students will be able to simplify and evaluate numerical and variable

More information

Asking Hard Graph Questions. Paul Burkhardt. February 3, 2014

Asking Hard Graph Questions. Paul Burkhardt. February 3, 2014 Beyond Watson: Predictive Analytics and Big Data U.S. National Security Agency Research Directorate - R6 Technical Report February 3, 2014 300 years before Watson there was Euler! The first (Jeopardy!)

More information

Interactive Analytical Processing in Big Data Systems,BDGS: AMay Scalable 23, 2014 Big Data1 Generat / 20

Interactive Analytical Processing in Big Data Systems,BDGS: AMay Scalable 23, 2014 Big Data1 Generat / 20 Interactive Analytical Processing in Big Data Systems,BDGS: A Scalable Big Data Generator Suite in Big Data Benchmarking,Study about DataSet May 23, 2014 Interactive Analytical Processing in Big Data Systems,BDGS:

More information

2014 Chapter Competition Solutions

2014 Chapter Competition Solutions 2014 Chapter Competition Solutions Are you wondering how we could have possibly thought that a Mathlete would be able to answer a particular Sprint Round problem without a calculator? Are you wondering

More information

Wednesday 15 January 2014 Morning Time: 2 hours

Wednesday 15 January 2014 Morning Time: 2 hours Write your name here Surname Other names Pearson Edexcel Certificate Pearson Edexcel International GCSE Mathematics A Paper 4H Centre Number Wednesday 15 January 2014 Morning Time: 2 hours Candidate Number

More information

Monitis Project Proposals for AUA. September 2014, Yerevan, Armenia

Monitis Project Proposals for AUA. September 2014, Yerevan, Armenia Monitis Project Proposals for AUA September 2014, Yerevan, Armenia Distributed Log Collecting and Analysing Platform Project Specifications Category: Big Data and NoSQL Software Requirements: Apache Hadoop

More information

You must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.

You must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used. Write your name here Surname Other names Edexcel IGCSE Mathematics B Paper 1 Centre Number Candidate Number Monday 6 June 2011 Afternoon Time: 1 hour 30 minutes Paper Reference 4MB0/01 You must have: Ruler

More information

Definitions, Postulates and Theorems

Definitions, Postulates and Theorems Definitions, s and s Name: Definitions Complementary Angles Two angles whose measures have a sum of 90 o Supplementary Angles Two angles whose measures have a sum of 180 o A statement that can be proven

More information

Improving Job Scheduling in Hadoop

Improving Job Scheduling in Hadoop Improving Job Scheduling in Hadoop MapReduce Himangi G. Patel, Richard Sonaliya Computer Engineering, Silver Oak College of Engineering and Technology, Ahmedabad, Gujarat, India. Abstract Hadoop is a framework

More information

Discovering All Most Specific Sentences

Discovering All Most Specific Sentences Discovering All Most Specific Sentences DIMITRIOS GUNOPULOS Computer Science and Engineering Department, University of California, Riverside RONI KHARDON EECS Department, Tufts University, Medford, MA

More information

Vector Notation: AB represents the vector from point A to point B on a graph. The vector can be computed by B A.

Vector Notation: AB represents the vector from point A to point B on a graph. The vector can be computed by B A. 1 Linear Transformations Prepared by: Robin Michelle King A transformation of an object is a change in position or dimension (or both) of the object. The resulting object after the transformation is called

More information

5.3 The Cross Product in R 3

5.3 The Cross Product in R 3 53 The Cross Product in R 3 Definition 531 Let u = [u 1, u 2, u 3 ] and v = [v 1, v 2, v 3 ] Then the vector given by [u 2 v 3 u 3 v 2, u 3 v 1 u 1 v 3, u 1 v 2 u 2 v 1 ] is called the cross product (or

More information

CHAPTER FIVE. 5. Equations of Lines in R 3

CHAPTER FIVE. 5. Equations of Lines in R 3 118 CHAPTER FIVE 5. Equations of Lines in R 3 In this chapter it is going to be very important to distinguish clearly between points and vectors. Frequently in the past the distinction has only been a

More information

Co-ordinate Geometry THE EQUATION OF STRAIGHT LINES

Co-ordinate Geometry THE EQUATION OF STRAIGHT LINES Co-ordinate Geometry THE EQUATION OF STRAIGHT LINES This section refers to the properties of straight lines and curves using rules found by the use of cartesian co-ordinates. The Gradient of a Line. As

More information

Chapter 2: Boolean Algebra and Logic Gates. Boolean Algebra

Chapter 2: Boolean Algebra and Logic Gates. Boolean Algebra The Universit Of Alabama in Huntsville Computer Science Chapter 2: Boolean Algebra and Logic Gates The Universit Of Alabama in Huntsville Computer Science Boolean Algebra The algebraic sstem usuall used

More information

1.1 Identify Points, Lines, and Planes

1.1 Identify Points, Lines, and Planes 1.1 Identify Points, Lines, and Planes Objective: Name and sketch geometric figures. Key Vocabulary Undefined terms - These words do not have formal definitions, but there is agreement aboutwhat they mean.

More information

CHANGES IN DESIGN IN CHINA. John Heskett Chair Professor Hong Kong Polytechnic University

CHANGES IN DESIGN IN CHINA. John Heskett Chair Professor Hong Kong Polytechnic University CHANGES IN DESIGN IN CHINA John Heskett Chair Professor Hong Kong Polytechnic University Design Timeline China Hong Kong Korea Taiwan Japan 1950 1960 1970 1980 1990 2000 Taiwan Educational Development

More information

Analytics: Big Data & Data Mining

Analytics: Big Data & Data Mining Analytics: Big Data & Data Mining Sponsored by: & Presented by: Matt Kulp St. Onge Company / Director, Principal Matt Toburen Dematic Corp / Director, Software and IT Consulting Services 2015 MHI Copyright

More information

Preparing Data Sets for the Data Mining Analysis using the Most Efficient Horizontal Aggregation Method in SQL

Preparing Data Sets for the Data Mining Analysis using the Most Efficient Horizontal Aggregation Method in SQL Preparing Data Sets for the Data Mining Analysis using the Most Efficient Horizontal Aggregation Method in SQL Jasna S MTech Student TKM College of engineering Kollam Manu J Pillai Assistant Professor

More information

Data Mining, Predictive Analytics with Microsoft Analysis Services and Excel PowerPivot

Data Mining, Predictive Analytics with Microsoft Analysis Services and Excel PowerPivot www.etidaho.com (208) 327-0768 Data Mining, Predictive Analytics with Microsoft Analysis Services and Excel PowerPivot 3 Days About this Course This course is designed for the end users and analysts that

More information

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Thursday, August 16, 2012 8:30 to 11:30 a.m.

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Thursday, August 16, 2012 8:30 to 11:30 a.m. GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Thursday, August 16, 2012 8:30 to 11:30 a.m., only Student Name: School Name: Print your name and the name of your

More information

Performance of HPC Applications on the Amazon Web Services Cloud

Performance of HPC Applications on the Amazon Web Services Cloud Cloudcom 2010 November 1, 2010 Indianapolis, IN Performance of HPC Applications on the Amazon Web Services Cloud Keith R. Jackson, Lavanya Ramakrishnan, Krishna Muriki, Shane Canon, Shreyas Cholia, Harvey

More information

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Wednesday, January 28, 2015 9:15 a.m. to 12:15 p.m.

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Wednesday, January 28, 2015 9:15 a.m. to 12:15 p.m. GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Wednesday, January 28, 2015 9:15 a.m. to 12:15 p.m., only Student Name: School Name: The possession or use of any

More information