Goals of the Lecture Object Constraint Language

Size: px
Start display at page:

Download "Goals of the Lecture Object Constraint Language"

Transcription

1 Goals of the Lecture Object Costrait Laguage Object-Orieted Aalysis ad Desig - Fall 1998 Preset the Object Costrait Laguage Ð As best as possible, with the limited iformatio available from UML i a Nutshell ad the Ratioal Website The official referece for the OCL will be the forthcomig Addiso-Wesley book: Ð The Uified Modelig Laguage Referece Maual (expected mid-december) Additioal Referece Costraits: A review The Object Costrait Laguage Ð Precise Modelig with UML Jos Warmer Aeke Kleppe Addiso-Wesley: ISBN Just published! A costrait is a restrictio o oe or more values of (part of) a objectorieted model or system Ð Supports desig by cotract Operatios ca be provided pre- ad postcoditios These coditios ca be specified usig costraits

2 Costraits Review cotiued Advatages of Costraits A precoditio must be true at the momet that a operatio is executed A postcoditio must be true at the momet the operatio fiishes executig A differet type of costrait is a ivariat Ð A ivariat specifies a coditio that must always be true of its associated elemets Ð This cotrasts with pre- ad post-coditios that oly eed to hold before ad after the executio of a sigle operatio Better Documetatio Ð The sematics are kept close to the model they costrai Improved Precisio Ð Costraits caot be iterpreted differetly by differet people Commuicatio without Misuderstadig Declarative or Operatioal Advatages of Declarative style Two types of iterpretatios Declarative Ð States what must be true, ot what must be doe Operatioal Ð Breakig a costrait triggers a operatio For example, i Eiffel, if a costrait is broke a exceptio is throw UML adopts a declarative style of costraits Costraits have o side-effects Ð The state of a system does ot chage whe a costrait is evaluated It separates the specificatio of a costrait from the respose required if a costrait is broke Costraits should be stable; actios may chage over time Atomicity requiremets ca be avoided

3 Object Costrait Laguage OCL, cotiued. OCL is a pure expressio laguage Ð It ca ot modify the state of a model Ð It ca however specify a state that is required by a pre- or post-coditio Ð A OCL expressio simply states a requiremet that must be met i order to cosider a istatiatio of the model to be valid OCL is ot a programmig laguage Ð It ca ot be used to ivoke a process Ð It ca ot be used to code program logic Ð It ca ot be used to specify flow of cotrol OCL is a typed-laguage Ð Each expressio has a type Ð Ay UML Classifier ca fuctio as a OCL type: class, use case, actor, etc. OCL, cotiued Uses for the OCL OCL was developed at IBM i 1995 It was submitted ito the Object Maagemet GroupÕs stadards efforts i 1996 It was merged ito the UML stadard i 1997 ad became a official OMG stadard i November 1997 (UML 1.1) Note: the UML metamodelõs sematics are specified usig OCL To specify ivariats o classes To specify type ivariats for stereotypes. To describe pre- ad post-coditios o operatios ad methods To describe guards To avigate associatios To specify costraits o operatios

4 OCL Buildig Blocks OCL Types The basic buildig blocks of OCL are Ð Objects Ð Object properties Each object ca have a type Ð Predefied Types Basic types Collectios Ð User-defied model types Basic Types Ð Iteger, Real, Strig, ad Boolea Collectio Types Ð Collectio, Set, Bag, ad Sequece Model Types Ð Customer, Perspective, Drafter, etc. Ð Also eumeratio types Expressios ad Costraits Cotext of a Expressio Not all expressios are costraits For istace Ð Ò1+3Ó is a valid expressio Ð Its result is Ò4Ó ad its retur type is ÒItegerÓ OCL costrait Ð A OCL Expressio that returs a Boolea e.g. {perso.age > 1 + 3} Each OCL expressio must have a cotext Ð The cotext is the model elemet to which the costrait is attached Ð This elemet is referred to as the Òcotextual elemetó Perspective objects->otempty()

5 Cotext of a Ivariat The cotext of a ivariat is always a type (class, iterface, attribute, etc.) Customer Name = ÒEdwardÓ Specifies that all Customer objects must have the ame of Edward Not a very useful ivariat! Cotext of Pre- ad Post- Coditios The cotext of pre- ad post-coditios is always a operatio or method AddAchor(L : Lik, A : Achor) pre: ot L.achors->Icludes(A) post: L.achors->Icludes(A) Example i a Class Diagram Keywords for Post-Coditios Lik achors: Set Id: Iteger addachor( ) «ivariat» self.id > 0 {froze} «precoditio» ot achors.cotais(a) «postcoditio» Ð Attach this to a elemet to refer to the value of that elemet i the precoditio Ð {age = age@pre + 1} result Ð Use this keyword to place a costrait o the retur value of a operatio Ð This does ot defie the value, it just costrais it Ð {result < 100 * iput@pre} or {result = self.age}

6 The self keyword Navigatig associatios The self keyword is used to refer to the cotextual elemet of a OCL costrait It ca be omitted whe the cotext is clear A example where its eeded Cotaier ot Cotaier->cotais(self) If A is related to B ad A plays the role of x ad B plays the role of y Ð The, a costrait o A ca refer to B {self.y = É} or {self.b = É} If the multiplicity of B is greater tha oe Ð The the type of self.y or self.b is a collectio Navigatig Associatio Classes Example A associatio class ca referece either ed of its associatio via the same rules described o the previous slide However, the type of a referece is always a istace, ever a collectio, regardless of the multiplicities of the associated associatio This is because a istace of a associatio class is associated with oly a sigle istace of a associatio A x C y * B {self.y.ocltype = B} {self.y.ocliskidof(collectio) = true}

7 Boolea Operatios Sematics of Implies or, ad, xor, ot, =, <>, implies if a the b else bõ edif Examples Perso Self.age > 17 implies self.cavote() = true Customer title = (if ismale = true the ÒMr.Ó else ÒMs.Ó edif) a implies b Returs true Ð If a is false (a falsity ca imply aythig) Ð Or a is true ad b is true Returs false Ð If a is true ad b is false Iteger ad Real Operatios Strig Operatios =, <> <, >, <=, >= +, -, *, / mod, div, abs max, mi roud, floor cocat() size tolower() toupper() substrig() =, <> ÔKeÕ.size = 3

8 Eumeratios Collectios Eumerated Types ca be defied Ð eum { blue, red, gree, yellow } Ð operatios: =, <> I order to avoid ame coflicts Ð eumerated types are refereced like this: #blue Customer (geder = #male) implies (title = ÒMr.Ó) The OCL has oe collectio type ad three subclasses Ð Set - uordered set of items, o duplicates Ð Bag - set of items, duplicates allowed Ð Sequece - ordered Bag There are a amazig umber of operatios defied for these four types Ð Collectio Operatios Other Operatios size cout(object) icludes(object) icludesall(col.) isempty iterate(expressio) eum() exists(expressio) forall(expressio) otempty A collectio operatio is always ivoked usig the arrow operator: achors->isempty() Set Operatios Ð equals, mius Ð symmetricdifferece Ð uio() Ð itersectio Ð assequece() Ð asbag() Ð... Sequece Ops Ð apped() Ð preped() Ð subsequece() Ð at() Ð first Ð last Ð...

9 Iteratio fuctios Iteratio Fuctios cotiued select(expressio) - returs collectio Hyperweb lik->select(l: Lik L.achors->size() = 2) (Fids all liks with exactly two achors) reject(expressio) Ð Opposite of select fids all members where the expressio evaluates to false collect(expressio) Ð The expressio computes a value for each elemet of a collectio. The values are retured i a collectio forall(expressio) Ð Specifies that the expressio holds for each member of the collectio Exists(expressio) Ð The expressio is true of at least oe elemet of the collectio Example Istace Operatios Perso age employee employer Compay {employee->forall(p: Perso p.age >= 18 ad p.age <= 65) } Meaig: A compay s employees all must be betwee the ages of 18 ad 65. =, <> ocltype ocliskidof() oclistypeof() oclastype() Sytax for forall: forall(elemet: Type <expressio>) Note: Elemet ad Type ca be omitted

10 Operator Precedece Type Castig Dot (Ò.Ó) ad arrow (Ò->Ó) Uary ÒotÓ ad Uary mius (Ò-Ó) Multiplicatio (Ò*Ó) ad Divisio (Ò/Ó) Additio (Ò+Ó) ad Subtractio (Ò-Ó) Logical ÒadÓ, ÒorÓ, ad ÒxorÓ Logical ÒimpliesÓ Logical Òif the else edifó Logical compariso operators Ò<Ò, Ò>Ó, etc. A type ca be cast to oe of its subtypes usig the followig sytax object.oclastype(type2) -- object is ow cosidered of type Type2 Notes Ð If Type2 is ot a valid type for object the result of the expressio is udefied Ð Commets are started with two dashes Type Coformace Type Coformace Rules I costructig a expressio, all subexpressios ad operators must ÒfitÓ properly coformace Defiitio of Coformace Ð Type1 coforms to Type2 if a istace of Type1 ca be substituted at each place where a istace of Type2 is expected. Type1 coforms to Type2 whe they are idetical Type1 coforms to Type2 whe Type1 is a subtype of Type2 Each type is a subtype of OclAy Type coformace is trasitive Iteger is a subtype of Real There are separate rules for collectios o the ext slide...

11 Type Coformace for Collectios Udefied Every type Collectio(T) is a subtype of OclAy Set(T), Bag(T), ad Sequece(T) are subtypes of Collectio(T) Collectio(Type1) coforms to Collectio(Type2) if Type1 coforms to Type2 Set(T) does ot coform to Bag(T) or Sequece(T) Bag(T) does ot coform to Set(T) or Sequece(T) Sequece(T) does ot coform to Set(T) or Bag(T) A OCL expressio may result i Udefied Ð Example: referecig a o-existet attribute o a object Ay expressio that has a sub-expressio that is udefied evaluates to udefied Ð With two exceptiosé True or Udefied = True False ad Udefied = False The OCL Book is good! Chapter 4 talks about modelig with costraits Ð Lots of examples Chapter 5 talks about extedig OCL Appedix A documets all operatios Appedix B provides a formal grammar for the Object Costrait Laguage

Goals of this Lecture Activity Diagram Example

Goals of this Lecture Activity Diagram Example Goals of this Lecture Activity Diagram Example Object-Orieted Aalysis ad Desig - Fall 998 Preset a example activity diagram Ð Relate to requiremets, use cases, ad class diagrams Also, respod to a questio

More information

Τεχνολογία Λογισμικού

Τεχνολογία Λογισμικού ΕΘΝΙΚΟ ΜΕΤΣΟΒΙΟ ΠΟΛΥΤΕΧΝΕΙΟ Σχολή Ηλεκτρολόγων Μηχανικών και Μηχανικών Υπολογιστών Τεχνολογία Λογισμικού, 7ο/9ο εξάμηνο 2018-2019 Τεχνολογία Λογισμικού Ν.Παπασπύρου, Αν.Καθ. ΣΗΜΜΥ, ickie@softlab.tua,gr

More information

Goals of the Lecture UML Implementation Diagrams

Goals of the Lecture UML Implementation Diagrams Goals of the Lecture UML Implemetatio Diagrams Object-Orieted Aalysis ad Desig - Fall 1998 Preset UML Diagrams useful for implemetatio Provide examples Next Lecture Ð A variety of topics o mappig from

More information

implement language system

implement language system Outlie Priciples of programmig laguages Lecture 3 http://few.vu.l/~silvis/ppl/2007 Part I. Laguage systems Part II. Fuctioal programmig. First look at ML. Natalia Silvis-Cividjia e-mail: silvis@few.vu.l

More information

Chapter 4. Procedural Abstraction and Functions That Return a Value. Copyright 2015 Pearson Education, Ltd.. All rights reserved.

Chapter 4. Procedural Abstraction and Functions That Return a Value. Copyright 2015 Pearson Education, Ltd.. All rights reserved. Chapter 4 Procedural Abstractio ad Fuctios That Retur a Value Copyright 2015 Pearso Educatio, Ltd.. All rights reserved. Overview 4.1 Top-Dow Desig 4.2 Predefied Fuctios 4.3 Programmer-Defied Fuctios 4.4

More information

CS 11 C track: lecture 1

CS 11 C track: lecture 1 CS 11 C track: lecture 1 Prelimiaries Need a CMS cluster accout http://acctreq.cms.caltech.edu/cgi-bi/request.cgi Need to kow UNIX IMSS tutorial liked from track home page Track home page: http://courses.cms.caltech.edu/courses/cs11/material

More information

COSC 1P03. Ch 7 Recursion. Introduction to Data Structures 8.1

COSC 1P03. Ch 7 Recursion. Introduction to Data Structures 8.1 COSC 1P03 Ch 7 Recursio Itroductio to Data Structures 8.1 COSC 1P03 Recursio Recursio I Mathematics factorial Fiboacci umbers defie ifiite set with fiite defiitio I Computer Sciece sytax rules fiite defiitio,

More information

University of Waterloo Department of Electrical and Computer Engineering ECE 250 Algorithms and Data Structures

University of Waterloo Department of Electrical and Computer Engineering ECE 250 Algorithms and Data Structures Uiversity of Waterloo Departmet of Electrical ad Computer Egieerig ECE 250 Algorithms ad Data Structures Midterm Examiatio ( pages) Istructor: Douglas Harder February 7, 2004 7:30-9:00 Name (last, first)

More information

OBJECT CONSTRAINT LANGUAGE OCL. Tomáš Černý : Object contraint language

OBJECT CONSTRAINT LANGUAGE OCL. Tomáš Černý : Object contraint language OBJECT CONSTRAINT LANGUAGE OCL Tomáš Čerý : Object cotrait laguage OCL INTRO Flight Airplae type : eum of cargo, passeger flights type : eum of cargo, passeger {cotext Flight iv: type = #cargo implies

More information

Chapter 9. Pointers and Dynamic Arrays. Copyright 2015 Pearson Education, Ltd.. All rights reserved.

Chapter 9. Pointers and Dynamic Arrays. Copyright 2015 Pearson Education, Ltd.. All rights reserved. Chapter 9 Poiters ad Dyamic Arrays Copyright 2015 Pearso Educatio, Ltd.. All rights reserved. Overview 9.1 Poiters 9.2 Dyamic Arrays Copyright 2015 Pearso Educatio, Ltd.. All rights reserved. Slide 9-3

More information

Customer Portal Quick Reference User Guide

Customer Portal Quick Reference User Guide Customer Portal Quick Referece User Guide Overview This user guide is iteded for FM Approvals customers usig the Approval Iformatio Maagemet (AIM) customer portal to track their active projects. AIM is

More information

Topics. Instance object. Instance object. Fundamentals of OT. Object notation. How do objects collaborate? Pearson Education 2007 Appendix (RASD 3/e)

Topics. Instance object. Instance object. Fundamentals of OT. Object notation. How do objects collaborate? Pearson Education 2007 Appendix (RASD 3/e) Appedix (RASD 3/e) MACIASZEK, L.A. (2007): Requiremets Aalysis ad System Desig, 3 rd ed. Addiso Wesley, Harlow Eglad ISBN 978-0-321-44036-5 Appedix Fudametals of Object Techology Pearso Educatio Limited

More information

Java Expressions & Flow Control

Java Expressions & Flow Control Java Expressios & Flow Cotrol Rui Moreira Expressio Separators:. [ ] ( ), ; Dot used as decimal separator or to access attributes ad methods double d = 2.6; Poto poto = ew Poto(2, 3); it i = poto.x; it

More information

Abstract. Chapter 4 Computation. Overview 8/13/18. Bjarne Stroustrup Note:

Abstract. Chapter 4 Computation. Overview 8/13/18. Bjarne Stroustrup   Note: Chapter 4 Computatio Bjare Stroustrup www.stroustrup.com/programmig Abstract Today, I ll preset the basics of computatio. I particular, we ll discuss expressios, how to iterate over a series of values

More information

top() Applications of Stacks

top() Applications of Stacks CS22 Algorithms ad Data Structures MW :00 am - 2: pm, MSEC 0 Istructor: Xiao Qi Lecture 6: Stacks ad Queues Aoucemets Quiz results Homework 2 is available Due o September 29 th, 2004 www.cs.mt.edu~xqicoursescs22

More information

Chapter 2. C++ Basics. Copyright 2015 Pearson Education, Ltd.. All rights reserved.

Chapter 2. C++ Basics. Copyright 2015 Pearson Education, Ltd.. All rights reserved. Chapter 2 C++ Basics Copyright 2015 Pearso Educatio, Ltd.. All rights reserved. Overview 2.1 Variables ad Assigmets 2.2 Iput ad Output 2.3 Data Types ad Expressios 2.4 Simple Flow of Cotrol 2.5 Program

More information

Τεχνολογία Λογισμικού

Τεχνολογία Λογισμικού ΕΘΝΙΚΟ ΜΕΤΣΟΒΙΟ ΠΟΛΥΤΕΧΝΕΙΟ Σχολή Ηλεκτρολόγων Μηχανικών και Μηχανικών Υπολογιστών Τεχνολογία Λογισμικού, 7ο/9ο εξάμηνο 2018-2019 Τεχνολογία Λογισμικού Ν.Παπασπύρου, Αν.Καθ. ΣΗΜΜΥ, ickie@softlab.tua,gr

More information

Today s objectives. CSE401: Introduction to Compiler Construction. What is a compiler? Administrative Details. Why study compilers?

Today s objectives. CSE401: Introduction to Compiler Construction. What is a compiler? Administrative Details. Why study compilers? CSE401: Itroductio to Compiler Costructio Larry Ruzzo Sprig 2004 Today s objectives Admiistrative details Defie compilers ad why we study them Defie the high-level structure of compilers Associate specific

More information

Behavioral Modeling in Verilog

Behavioral Modeling in Verilog Behavioral Modelig i Verilog COE 202 Digital Logic Desig Dr. Muhamed Mudawar Kig Fahd Uiversity of Petroleum ad Mierals Presetatio Outlie Itroductio to Dataflow ad Behavioral Modelig Verilog Operators

More information

Appendix D. Controller Implementation

Appendix D. Controller Implementation COMPUTER ORGANIZATION AND DESIGN The Hardware/Software Iterface 5 th Editio Appedix D Cotroller Implemetatio Cotroller Implemetatios Combiatioal logic (sigle-cycle); Fiite state machie (multi-cycle, pipelied);

More information

Copyright 2016 Ramez Elmasri and Shamkant B. Navathe

Copyright 2016 Ramez Elmasri and Shamkant B. Navathe Copyright 2016 Ramez Elmasri ad Shamkat B. Navathe CHAPTER 20 Itroductio to Trasactio Processig Cocepts ad Theory Copyright 2016 Ramez Elmasri ad Shamkat B. Navathe Itroductio Trasactio Describes local

More information

Major CSL Write your name and entry no on every sheet of the answer script. Time 2 Hrs Max Marks 70

Major CSL Write your name and entry no on every sheet of the answer script. Time 2 Hrs Max Marks 70 NOTE:. Attempt all seve questios. Major CSL 02 2. Write your ame ad etry o o every sheet of the aswer script. Time 2 Hrs Max Marks 70 Q No Q Q 2 Q 3 Q 4 Q 5 Q 6 Q 7 Total MM 6 2 4 0 8 4 6 70 Q. Write a

More information

Python Programming: An Introduction to Computer Science

Python Programming: An Introduction to Computer Science Pytho Programmig: A Itroductio to Computer Sciece Chapter 6 Defiig Fuctios Pytho Programmig, 2/e 1 Objectives To uderstad why programmers divide programs up ito sets of cooperatig fuctios. To be able to

More information

Chapter 11. Friends, Overloaded Operators, and Arrays in Classes. Copyright 2014 Pearson Addison-Wesley. All rights reserved.

Chapter 11. Friends, Overloaded Operators, and Arrays in Classes. Copyright 2014 Pearson Addison-Wesley. All rights reserved. Chapter 11 Frieds, Overloaded Operators, ad Arrays i Classes Copyright 2014 Pearso Addiso-Wesley. All rights reserved. Overview 11.1 Fried Fuctios 11.2 Overloadig Operators 11.3 Arrays ad Classes 11.4

More information

Copyright 2016 Ramez Elmasri and Shamkant B. Navathe

Copyright 2016 Ramez Elmasri and Shamkant B. Navathe Copyright 2016 Ramez Elmasri ad Shamkat B. Navathe CHAPTER 19 Query Optimizatio Copyright 2016 Ramez Elmasri ad Shamkat B. Navathe Itroductio Query optimizatio Coducted by a query optimizer i a DBMS Goal:

More information

Chapter 1. Introduction to Computers and C++ Programming. Copyright 2015 Pearson Education, Ltd.. All rights reserved.

Chapter 1. Introduction to Computers and C++ Programming. Copyright 2015 Pearson Education, Ltd.. All rights reserved. Chapter 1 Itroductio to Computers ad C++ Programmig Copyright 2015 Pearso Educatio, Ltd.. All rights reserved. Overview 1.1 Computer Systems 1.2 Programmig ad Problem Solvig 1.3 Itroductio to C++ 1.4 Testig

More information

BaanERP Tools. Programming features

BaanERP Tools. Programming features BaaERP Tools A publicatio of: Baa Developmet B.V. P.O.Box 143 3770 AC Bareveld The Netherlads Prited i the Netherlads Baa Developmet B.V. 1998. All rights reserved. The iformatio i this documet is subject

More information

Classes and Objects. Again: Distance between points within the first quadrant. José Valente de Oliveira 4-1

Classes and Objects. Again: Distance between points within the first quadrant. José Valente de Oliveira 4-1 Classes ad Objects jvo@ualg.pt José Valete de Oliveira 4-1 Agai: Distace betwee poits withi the first quadrat Sample iput Sample output 1 1 3 4 2 jvo@ualg.pt José Valete de Oliveira 4-2 1 The simplest

More information

. Written in factored form it is easy to see that the roots are 2, 2, i,

. Written in factored form it is easy to see that the roots are 2, 2, i, CMPS A Itroductio to Programmig Programmig Assigmet 4 I this assigmet you will write a java program that determies the real roots of a polyomial that lie withi a specified rage. Recall that the roots (or

More information

Linked Lists 11/16/18. Preliminaries. Java References. Objects and references. Self references. Linking self-referential nodes

Linked Lists 11/16/18. Preliminaries. Java References. Objects and references. Self references. Linking self-referential nodes Prelimiaries Liked Lists public class StrageObject { Strig ame; StrageObject other; Arrays are ot always the optimal data structure: A array has fixed size eeds to be copied to expad its capacity Addig

More information

Solutions to Final COMS W4115 Programming Languages and Translators Monday, May 4, :10-5:25pm, 309 Havemeyer

Solutions to Final COMS W4115 Programming Languages and Translators Monday, May 4, :10-5:25pm, 309 Havemeyer Departmet of Computer ciece Columbia Uiversity olutios to Fial COM W45 Programmig Laguages ad Traslators Moday, May 4, 2009 4:0-5:25pm, 309 Havemeyer Closed book, o aids. Do questios 5. Each questio is

More information

Code Review Defects. Authors: Mika V. Mäntylä and Casper Lassenius Original version: 4 Sep, 2007 Made available online: 24 April, 2013

Code Review Defects. Authors: Mika V. Mäntylä and Casper Lassenius Original version: 4 Sep, 2007 Made available online: 24 April, 2013 Code Review s Authors: Mika V. Mätylä ad Casper Lasseius Origial versio: 4 Sep, 2007 Made available olie: 24 April, 2013 This documet cotais further details of the code review defects preseted i [1]. of

More information

Lecture 9: Exam I Review

Lecture 9: Exam I Review CS 111 (Law): Program Desig I Lecture 9: Exam I Review Robert H. Sloa & Richard Warer Uiversity of Illiois, Chicago September 22, 2016 This Class Discuss midterm topics Go over practice examples Aswer

More information

Last class. n Scheme. n Equality testing. n eq? vs. equal? n Higher-order functions. n map, foldr, foldl. n Tail recursion

Last class. n Scheme. n Equality testing. n eq? vs. equal? n Higher-order functions. n map, foldr, foldl. n Tail recursion Aoucemets HW6 due today HW7 is out A team assigmet Submitty page will be up toight Fuctioal correctess: 75%, Commets : 25% Last class Equality testig eq? vs. equal? Higher-order fuctios map, foldr, foldl

More information

COP4020 Programming Languages. Functional Programming Prof. Robert van Engelen

COP4020 Programming Languages. Functional Programming Prof. Robert van Engelen COP4020 Programmig Laguages Fuctioal Programmig Prof. Robert va Egele Overview What is fuctioal programmig? Historical origis of fuctioal programmig Fuctioal programmig today Cocepts of fuctioal programmig

More information

CIS 121 Data Structures and Algorithms with Java Spring Stacks and Queues Monday, February 12 / Tuesday, February 13

CIS 121 Data Structures and Algorithms with Java Spring Stacks and Queues Monday, February 12 / Tuesday, February 13 CIS Data Structures ad Algorithms with Java Sprig 08 Stacks ad Queues Moday, February / Tuesday, February Learig Goals Durig this lab, you will: Review stacks ad queues. Lear amortized ruig time aalysis

More information

Chapter 5. Functions for All Subtasks. Copyright 2015 Pearson Education, Ltd.. All rights reserved.

Chapter 5. Functions for All Subtasks. Copyright 2015 Pearson Education, Ltd.. All rights reserved. Chapter 5 Fuctios for All Subtasks Copyright 2015 Pearso Educatio, Ltd.. All rights reserved. Overview 5.1 void Fuctios 5.2 Call-By-Referece Parameters 5.3 Usig Procedural Abstractio 5.4 Testig ad Debuggig

More information

Copyright 2016 Ramez Elmasri and Shamkant B. Navathe

Copyright 2016 Ramez Elmasri and Shamkant B. Navathe Copyright 2016 Ramez Elmasri ad Shamkat B. Navathe CHAPTER 26 Ehaced Data Models: Itroductio to Active, Temporal, Spatial, Multimedia, ad Deductive Databases Copyright 2016 Ramez Elmasri ad Shamkat B.

More information

Python Programming: An Introduction to Computer Science

Python Programming: An Introduction to Computer Science Pytho Programmig: A Itroductio to Computer Sciece Chapter 1 Computers ad Programs 1 Objectives To uderstad the respective roles of hardware ad software i a computig system. To lear what computer scietists

More information

From last week. Lecture 5. Outline. Principles of programming languages

From last week. Lecture 5. Outline. Principles of programming languages Priciples of programmig laguages From last week Lecture 5 http://few.vu.l/~silvis/ppl/2007 Natalia Silvis-Cividjia e-mail: silvis@few.vu.l ML has o assigmet. Explai how to access a old bidig? Is & for

More information

Task scenarios Outline. Scenarios in Knowledge Extraction. Proposed Framework for Scenario to Design Diagram Transformation

Task scenarios Outline. Scenarios in Knowledge Extraction. Proposed Framework for Scenario to Design Diagram Transformation 6-0-0 Kowledge Trasformatio from Task Scearios to View-based Desig Diagrams Nima Dezhkam Kamra Sartipi {dezhka, sartipi}@mcmaster.ca Departmet of Computig ad Software McMaster Uiversity CANADA SEKE 08

More information

Data Structures and Algorithms Part 1.4

Data Structures and Algorithms Part 1.4 1 Data Structures ad Algorithms Part 1.4 Werer Nutt 2 DSA, Part 1: Itroductio, syllabus, orgaisatio Algorithms Recursio (priciple, trace, factorial, Fiboacci) Sortig (bubble, isertio, selectio) 3 Sortig

More information

Architectural styles for software systems The client-server style

Architectural styles for software systems The client-server style Architectural styles for software systems The cliet-server style Prof. Paolo Ciacarii Software Architecture CdL M Iformatica Uiversità di Bologa Ageda Cliet server style CS two tiers CS three tiers CS

More information

Computers and Scientific Thinking

Computers and Scientific Thinking Computers ad Scietific Thikig David Reed, Creighto Uiversity Chapter 15 JavaScript Strigs 1 Strigs as Objects so far, your iteractive Web pages have maipulated strigs i simple ways use text box to iput

More information

A graphical view of big-o notation. c*g(n) f(n) f(n) = O(g(n))

A graphical view of big-o notation. c*g(n) f(n) f(n) = O(g(n)) ca see that time required to search/sort grows with size of We How do space/time eeds of program grow with iput size? iput. time: cout umber of operatios as fuctio of iput Executio size operatio Assigmet:

More information

What Is Object-Orientation?

What Is Object-Orientation? Iformatio Systems Cocepts What Is Object-Orietatio? Roma Kotchakov Birkbeck, Uiversity of Lodo Based o Chapter 4 of Beett, McRobb ad Farmer: Object Orieted Systems Aalysis ad Desig Usig UML, (4th Editio),

More information

MR-2010I %MktBSize Macro 989. %MktBSize Macro

MR-2010I %MktBSize Macro 989. %MktBSize Macro MR-2010I %MktBSize Macro 989 %MktBSize Macro The %MktBSize autocall macro suggests sizes for balaced icomplete block desigs (BIBDs). The sizes that it reports are sizes that meet ecessary but ot sufficiet

More information

Elementary Educational Computer

Elementary Educational Computer Chapter 5 Elemetary Educatioal Computer. Geeral structure of the Elemetary Educatioal Computer (EEC) The EEC coforms to the 5 uits structure defied by vo Neuma's model (.) All uits are preseted i a simplified

More information

1 Enterprise Modeler

1 Enterprise Modeler 1 Eterprise Modeler Itroductio I BaaERP, a Busiess Cotrol Model ad a Eterprise Structure Model for multi-site cofiguratios are itroduced. Eterprise Structure Model Busiess Cotrol Models Busiess Fuctio

More information

Chapter 3. More Flow of Control. Copyright 2015 Pearson Education, Ltd.. All rights reserved.

Chapter 3. More Flow of Control. Copyright 2015 Pearson Education, Ltd.. All rights reserved. Chapter 3 More Flow of Cotrol Copyright 2015 Pearso Educatio, Ltd.. All rights reserved. Overview 3.1 Usig Boolea Expressios 3.2 Multiway Braches 3.3 More about C++ Loop Statemets 3.4 Desigig Loops Copyright

More information

n Maurice Wilkes, 1949 n Organize software to minimize errors. n Eliminate most of the errors we made anyway.

n Maurice Wilkes, 1949 n Organize software to minimize errors. n Eliminate most of the errors we made anyway. Bjare Stroustrup www.stroustrup.com/programmig Chapter 5 Errors Abstract Whe we program, we have to deal with errors. Our most basic aim is correctess, but we must deal with icomplete problem specificatios,

More information

Guide to Applying Online

Guide to Applying Online Guide to Applyig Olie Itroductio Respodig to requests for additioal iformatio Reportig: submittig your moitorig or ed of grat Pledges: submittig your Itroductio This guide is to help charities submit their

More information

CS 111: Program Design I Lecture # 7: First Loop, Web Crawler, Functions

CS 111: Program Design I Lecture # 7: First Loop, Web Crawler, Functions CS 111: Program Desig I Lecture # 7: First Loop, Web Crawler, Fuctios Robert H. Sloa & Richard Warer Uiversity of Illiois at Chicago September 18, 2018 What will this prit? x = 5 if x == 3: prit("hi!")

More information

COMP Parallel Computing. PRAM (1): The PRAM model and complexity measures

COMP Parallel Computing. PRAM (1): The PRAM model and complexity measures COMP 633 - Parallel Computig Lecture 2 August 24, 2017 : The PRAM model ad complexity measures 1 First class summary This course is about parallel computig to achieve high-er performace o idividual problems

More information

Weston Anniversary Fund

Weston Anniversary Fund Westo Olie Applicatio Guide 2018 1 This guide is desiged to help charities applyig to the Westo to use our olie applicatio form. The Westo is ope to applicatios from 5th Jauary 2018 ad closes o 30th Jue

More information

CSE 417: Algorithms and Computational Complexity

CSE 417: Algorithms and Computational Complexity Time CSE 47: Algorithms ad Computatioal Readig assigmet Read Chapter of The ALGORITHM Desig Maual Aalysis & Sortig Autum 00 Paul Beame aalysis Problem size Worst-case complexity: max # steps algorithm

More information

Lecture 1: Introduction and Strassen s Algorithm

Lecture 1: Introduction and Strassen s Algorithm 5-750: Graduate Algorithms Jauary 7, 08 Lecture : Itroductio ad Strasse s Algorithm Lecturer: Gary Miller Scribe: Robert Parker Itroductio Machie models I this class, we will primarily use the Radom Access

More information

Copyright 2016 Ramez Elmasri and Shamkant B. Navathe

Copyright 2016 Ramez Elmasri and Shamkant B. Navathe Copyright 2016 Ramez Elmasri ad Shamkat B. Navathe CHAPTER 18 Strategies for Query Processig Copyright 2016 Ramez Elmasri ad Shamkat B. Navathe Itroductio DBMS techiques to process a query Scaer idetifies

More information

n Haskell n Syntax n Lazy evaluation n Static typing and type inference n Algebraic data types n Pattern matching n Type classes

n Haskell n Syntax n Lazy evaluation n Static typing and type inference n Algebraic data types n Pattern matching n Type classes Aoucemets Quiz 7 HW 9 is due o Friday Raibow grades HW 1-6 plus 8. Please, read our commets o 8! Exam 1-2 Quiz 1-6 Ay questios/cocers, let us kow ASAP Last Class Haskell Sytax Lazy evaluatio Static typig

More information

Bayesian approach to reliability modelling for a probability of failure on demand parameter

Bayesian approach to reliability modelling for a probability of failure on demand parameter Bayesia approach to reliability modellig for a probability of failure o demad parameter BÖRCSÖK J., SCHAEFER S. Departmet of Computer Architecture ad System Programmig Uiversity Kassel, Wilhelmshöher Allee

More information

Chapter 3. Floating Point Arithmetic

Chapter 3. Floating Point Arithmetic COMPUTER ORGANIZATION AND DESIGN The Hardware/Software Iterface 5 th Editio Chapter 3 Floatig Poit Arithmetic Review - Multiplicatio 0 1 1 0 = 6 multiplicad 32-bit ALU shift product right multiplier add

More information

WYSE Academic Challenge Sectional Computer Science 2005 SOLUTION SET

WYSE Academic Challenge Sectional Computer Science 2005 SOLUTION SET WYSE Academic Challege Sectioal Computer Sciece 2005 SOLUTION SET 1. Correct aswer: a. Hz = cycle / secod. CPI = 2, therefore, CPI*I = 2 * 28 X 10 8 istructios = 56 X 10 8 cycles. The clock rate is 56

More information

Chapter 10. Defining Classes. Copyright 2015 Pearson Education, Ltd.. All rights reserved.

Chapter 10. Defining Classes. Copyright 2015 Pearson Education, Ltd.. All rights reserved. Chapter 10 Defiig Classes Copyright 2015 Pearso Educatio, Ltd.. All rights reserved. Overview 10.1 Structures 10.2 Classes 10.3 Abstract Data Types 10.4 Itroductio to Iheritace Copyright 2015 Pearso Educatio,

More information

CSC165H1 Worksheet: Tutorial 8 Algorithm analysis (SOLUTIONS)

CSC165H1 Worksheet: Tutorial 8 Algorithm analysis (SOLUTIONS) CSC165H1, Witer 018 Learig Objectives By the ed of this worksheet, you will: Aalyse the ruig time of fuctios cotaiig ested loops. 1. Nested loop variatios. Each of the followig fuctios takes as iput a

More information

Lecture 2. RTL Design Methodology. Transition from Pseudocode & Interface to a Corresponding Block Diagram

Lecture 2. RTL Design Methodology. Transition from Pseudocode & Interface to a Corresponding Block Diagram Lecture 2 RTL Desig Methodology Trasitio from Pseudocode & Iterface to a Correspodig Block Diagram Structure of a Typical Digital Data Iputs Datapath (Executio Uit) Data Outputs System Cotrol Sigals Status

More information

Hash Tables. Presentation for use with the textbook Algorithm Design and Applications, by M. T. Goodrich and R. Tamassia, Wiley, 2015.

Hash Tables. Presentation for use with the textbook Algorithm Design and Applications, by M. T. Goodrich and R. Tamassia, Wiley, 2015. Presetatio for use with the textbook Algorithm Desig ad Applicatios, by M. T. Goodrich ad R. Tamassia, Wiley, 2015 Hash Tables xkcd. http://xkcd.com/221/. Radom Number. Used with permissio uder Creative

More information

MOTIF XF Extension Owner s Manual

MOTIF XF Extension Owner s Manual MOTIF XF Extesio Ower s Maual Table of Cotets About MOTIF XF Extesio...2 What Extesio ca do...2 Auto settig of Audio Driver... 2 Auto settigs of Remote Device... 2 Project templates with Iput/ Output Bus

More information

Requirements Analysis

Requirements Analysis Iformatio Systems Cocepts Requiremets Aalysis Roma Kotchakov Birkbeck, Uiversity of Lodo Based o Chapter 7 of Beett, McRobb ad Farmer: Object Orieted Systems Aalysis ad Desig Usig UML, (4th Editio), McGraw

More information

CSC 220: Computer Organization Unit 11 Basic Computer Organization and Design

CSC 220: Computer Organization Unit 11 Basic Computer Organization and Design College of Computer ad Iformatio Scieces Departmet of Computer Sciece CSC 220: Computer Orgaizatio Uit 11 Basic Computer Orgaizatio ad Desig 1 For the rest of the semester, we ll focus o computer architecture:

More information

COP4020 Programming Languages. Compilers and Interpreters Prof. Robert van Engelen

COP4020 Programming Languages. Compilers and Interpreters Prof. Robert van Engelen COP4020 mig Laguages Compilers ad Iterpreters Prof. Robert va Egele Overview Commo compiler ad iterpreter cofiguratios Virtual machies Itegrated developmet eviromets Compiler phases Lexical aalysis Sytax

More information

Analysis Metrics. Intro to Algorithm Analysis. Slides. 12. Alg Analysis. 12. Alg Analysis

Analysis Metrics. Intro to Algorithm Analysis. Slides. 12. Alg Analysis. 12. Alg Analysis Itro to Algorithm Aalysis Aalysis Metrics Slides. Table of Cotets. Aalysis Metrics 3. Exact Aalysis Rules 4. Simple Summatio 5. Summatio Formulas 6. Order of Magitude 7. Big-O otatio 8. Big-O Theorems

More information

Software development of components for complex signal analysis on the example of adaptive recursive estimation methods.

Software development of components for complex signal analysis on the example of adaptive recursive estimation methods. Software developmet of compoets for complex sigal aalysis o the example of adaptive recursive estimatio methods. SIMON BOYMANN, RALPH MASCHOTTA, SILKE LEHMANN, DUNJA STEUER Istitute of Biomedical Egieerig

More information

Structuring Redundancy for Fault Tolerance. CSE 598D: Fault Tolerant Software

Structuring Redundancy for Fault Tolerance. CSE 598D: Fault Tolerant Software Structurig Redudacy for Fault Tolerace CSE 598D: Fault Tolerat Software What do we wat to achieve? Versios Damage Assessmet Versio 1 Error Detectio Iputs Versio 2 Voter Outputs State Restoratio Cotiued

More information

How do we evaluate algorithms?

How do we evaluate algorithms? F2 Readig referece: chapter 2 + slides Algorithm complexity Big O ad big Ω To calculate ruig time Aalysis of recursive Algorithms Next time: Litterature: slides mostly The first Algorithm desig methods:

More information

CIS 121 Data Structures and Algorithms with Java Spring Stacks, Queues, and Heaps Monday, February 18 / Tuesday, February 19

CIS 121 Data Structures and Algorithms with Java Spring Stacks, Queues, and Heaps Monday, February 18 / Tuesday, February 19 CIS Data Structures ad Algorithms with Java Sprig 09 Stacks, Queues, ad Heaps Moday, February 8 / Tuesday, February 9 Stacks ad Queues Recall the stack ad queue ADTs (abstract data types from lecture.

More information

BOOLEAN MATHEMATICS: GENERAL THEORY

BOOLEAN MATHEMATICS: GENERAL THEORY CHAPTER 3 BOOLEAN MATHEMATICS: GENERAL THEORY 3.1 ISOMORPHIC PROPERTIES The ame Boolea Arithmetic was chose because it was discovered that literal Boolea Algebra could have a isomorphic umerical aspect.

More information

COP4020 Programming Languages. Subroutines and Parameter Passing Prof. Robert van Engelen

COP4020 Programming Languages. Subroutines and Parameter Passing Prof. Robert van Engelen COP4020 Programmig Laguages Subrouties ad Parameter Passig Prof. Robert va Egele Overview Parameter passig modes Subroutie closures as parameters Special-purpose parameters Fuctio returs COP4020 Fall 2016

More information

Abstract Data Types (ADTs) Stacks. The Stack ADT ( 4.2) Stack Interface in Java

Abstract Data Types (ADTs) Stacks. The Stack ADT ( 4.2) Stack Interface in Java Abstract Data Types (ADTs) tacks A abstract data type (ADT) is a abstractio of a data structure A ADT specifies: Data stored Operatios o the data Error coditios associated with operatios Example: ADT modelig

More information

CS 111: Program Design I Lecture 15: Objects, Pandas, Modules. Robert H. Sloan & Richard Warner University of Illinois at Chicago October 13, 2016

CS 111: Program Design I Lecture 15: Objects, Pandas, Modules. Robert H. Sloan & Richard Warner University of Illinois at Chicago October 13, 2016 CS 111: Program Desig I Lecture 15: Objects, Padas, Modules Robert H. Sloa & Richard Warer Uiversity of Illiois at Chicago October 13, 2016 OBJECTS AND DOT NOTATION Objects (Implicit i Chapter 2, Variables,

More information

Last Class. Announcements. Lecture Outline. Types. Structural Equivalence. Type Equivalence. Read: Scott, Chapters 7 and 8. T2 y; x = y; n Types

Last Class. Announcements. Lecture Outline. Types. Structural Equivalence. Type Equivalence. Read: Scott, Chapters 7 and 8. T2 y; x = y; n Types Aoucemets HW9 due today HW10 comig up, will post after class Team assigmet Data abstractio (types) ad cotrol abstractio (parameter passig) Due o Tuesday, November 27 th Last Class Types Type systems Type

More information

MapReduce and Hadoop. Debapriyo Majumdar Data Mining Fall 2014 Indian Statistical Institute Kolkata. November 10, 2014

MapReduce and Hadoop. Debapriyo Majumdar Data Mining Fall 2014 Indian Statistical Institute Kolkata. November 10, 2014 MapReduce ad Hadoop Debapriyo Majumdar Data Miig Fall 2014 Idia Statistical Istitute Kolkata November 10, 2014 Let s keep the itro short Moder data miig: process immese amout of data quickly Exploit parallelism

More information

n Haskell n Covered syntax, lazy evaluation, static typing n Algebraic data types and pattern matching n Type classes n Monads and more n Types

n Haskell n Covered syntax, lazy evaluation, static typing n Algebraic data types and pattern matching n Type classes n Monads and more n Types Aoucemets Exam 2 is graded, but I will eed some time to go over it I ll release grades this eveig (figers crossed!) Raibow grades: HW1-6, Exam 1-2, Quiz 1-5 Will post aswer key Still gradig: Quiz 6, HW7

More information

NAG Library Function Document nag_fft_hermitian (c06ebc)

NAG Library Function Document nag_fft_hermitian (c06ebc) c06 Fourier Trasforms NAG Library Fuctio Documet ag_fft_hermitia () 1 Purpose ag_fft_hermitia () calculates the discrete Fourier trasform of a Hermitia sequece of complex data values. (No extra workspace

More information

Web OS Switch Software

Web OS Switch Software Web OS Switch Software BBI Quick Guide Nortel Networks Part Number: 213164, Revisio A, July 2000 50 Great Oaks Boulevard Sa Jose, Califoria 95119 408-360-5500 Mai 408-360-5501 Fax www.orteletworks.com

More information

6.175: Constructive Computer Architecture. Oct 7,

6.175: Constructive Computer Architecture. Oct 7, 6.175: Costructive Computer Architecture Tutorial 2 Advaced BSV Qua Nguye (Now uses the correct dates o PPT slides) T02-1 Admiistrivia Today is add date! Please test vlsifarm machies Remaiig labs schedule

More information

CS : Programming for Non-Majors, Summer 2007 Programming Project #3: Two Little Calculations Due by 12:00pm (noon) Wednesday June

CS : Programming for Non-Majors, Summer 2007 Programming Project #3: Two Little Calculations Due by 12:00pm (noon) Wednesday June CS 1313 010: Programmig for No-Majors, Summer 2007 Programmig Project #3: Two Little Calculatios Due by 12:00pm (oo) Wedesday Jue 27 2007 This third assigmet will give you experiece writig programs that

More information

n Some thoughts on software development n The idea of a calculator n Using a grammar n Expression evaluation n Program organization n Analysis

n Some thoughts on software development n The idea of a calculator n Using a grammar n Expression evaluation n Program organization n Analysis Overview Chapter 6 Writig a Program Bjare Stroustrup Some thoughts o software developmet The idea of a calculator Usig a grammar Expressio evaluatio Program orgaizatio www.stroustrup.com/programmig 3 Buildig

More information

Exercise 6 (Week 42) For the foreign students only.

Exercise 6 (Week 42) For the foreign students only. These are the last exercises of the course. Please, remember that to pass exercises, the sum of the poits gathered by solvig the questios ad attedig the exercise groups must be at least 4% ( poits) of

More information

Algorithm Design Techniques. Divide and conquer Problem

Algorithm Design Techniques. Divide and conquer Problem Algorithm Desig Techiques Divide ad coquer Problem Divide ad Coquer Algorithms Divide ad Coquer algorithm desig works o the priciple of dividig the give problem ito smaller sub problems which are similar

More information

CYK Algorithm Adapted to the Penttonen Normal Form

CYK Algorithm Adapted to the Penttonen Normal Form http://excel.fit.vutbr.cz CYK Algorithm Adapted to the Pettoe Normal Form Domiika Klobučíková* Abstract This paper deals with the topic of cotext-sesitive grammars as special cases of urestricted grammars,

More information

A SOFTWARE MODEL FOR THE MULTILAYER PERCEPTRON

A SOFTWARE MODEL FOR THE MULTILAYER PERCEPTRON A SOFTWARE MODEL FOR THE MULTILAYER PERCEPTRON Roberto Lopez ad Eugeio Oñate Iteratioal Ceter for Numerical Methods i Egieerig (CIMNE) Edificio C1, Gra Capitá s/, 08034 Barceloa, Spai ABSTRACT I this work

More information

Exceptions. Your computer takes exception. The Exception Class. Causes of Exceptions

Exceptions. Your computer takes exception. The Exception Class. Causes of Exceptions Your computer takes exceptio s s are errors i the logic of a program (ru-time errors). Examples: i thread mai java.io.filenotfoud: studet.txt (The system caot fid the file specified.) i thread mai java.lag.nullpoiter:

More information

Chapter 3 Classification of FFT Processor Algorithms

Chapter 3 Classification of FFT Processor Algorithms Chapter Classificatio of FFT Processor Algorithms The computatioal complexity of the Discrete Fourier trasform (DFT) is very high. It requires () 2 complex multiplicatios ad () complex additios [5]. As

More information

Solution printed. Do not start the test until instructed to do so! CS 2604 Data Structures Midterm Spring, Instructions:

Solution printed. Do not start the test until instructed to do so! CS 2604 Data Structures Midterm Spring, Instructions: CS 604 Data Structures Midterm Sprig, 00 VIRG INIA POLYTECHNIC INSTITUTE AND STATE U T PROSI M UNI VERSI TY Istructios: Prit your ame i the space provided below. This examiatio is closed book ad closed

More information

Evaluation scheme for Tracking in AMI

Evaluation scheme for Tracking in AMI A M I C o m m u i c a t i o A U G M E N T E D M U L T I - P A R T Y I N T E R A C T I O N http://www.amiproject.org/ Evaluatio scheme for Trackig i AMI S. Schreiber a D. Gatica-Perez b AMI WP4 Trackig:

More information

% Sun Logo for Frame. X3T10/95-229, Revision 2. September 28, 1995

% Sun Logo for Frame. X3T10/95-229, Revision 2. September 28, 1995 Su Microsystems, Ic. 2550 Garcia Aveue Moutai View, CA 94045 415 960-1300 X3T10/95-229, Revisio 2 September 28, 1995 % Su Logo for Frame Joh Lohmeyer Chairperso, X3T10 Symbios Logic Ic. 1635 Aeroplaza

More information

Overview. Common tasks. Observation. Chapter 20 The STL (containers, iterators, and algorithms) 8/13/18. Bjarne Stroustrup

Overview. Common tasks. Observation. Chapter 20 The STL (containers, iterators, and algorithms) 8/13/18. Bjarne Stroustrup Overview Chapter 20 The STL (cotaiers, iterators, ad algorithms) Bjare Stroustrup www.stroustrup.com/programmig Commo tasks ad ideals Geeric programmig Cotaiers, algorithms, ad iterators The simplest algorithm:

More information

CSI 3140 WWW Structures, Techniques and Standards. Cascading Style Sheets (CSS)

CSI 3140 WWW Structures, Techniques and Standards. Cascading Style Sheets (CSS) CSI 3140 WWW Structures, Techiques ad Stadards Cascadig Style Sheets (CSS) Motivatio whtml markup ca be used to represet Sematics: h1 meas that a elemet is a top-level headig Presetatio: h1 elemets look

More information

Data diverse software fault tolerance techniques

Data diverse software fault tolerance techniques Data diverse software fault tolerace techiques Complemets desig diversity by compesatig for desig diversity s s limitatios Ivolves obtaiig a related set of poits i the program data space, executig the

More information

condition w i B i S maximum u i

condition w i B i S maximum u i ecture 10 Dyamic Programmig 10.1 Kapsack Problem November 1, 2004 ecturer: Kamal Jai Notes: Tobias Holgers We are give a set of items U = {a 1, a 2,..., a }. Each item has a weight w i Z + ad a utility

More information