discrete math computer science textbook

... Trang 1Discrete Math in Computer ScienceKen Bogart Dept of Mathematics Dartmouth College Cliff SteinDept of Computer ScienceDartmouth College June 23, 2002 Trang 2This is a working draft of a textbook ... textbook for a discrete mathematics course This course isdesigned to be taken by computer science students The prerequisites are first semester calculus(Math 3) and the introductory computer science ... However, different people learndifferently Also the amount of material in discrete mathematics that is desirable for computerscience students to learn is much more than can be covered in an academic

Ngày tải lên: 31/03/2014, 15:58

... David M Keil Framingham State University CSCI 317 Discrete Structures 2/14 Study questions on Discrete Structures for Computer Science The intention in providing these questions is to ... arithmetic expression; (c) a sequence of values; (d) all of these; (e) none of these Discrete-math / finite-math terminology algorithm analog data binary relation binary tree Cartesian product ... principle of mathematical induction (essential) Describe the two parts of an inductive proof What is the principle of mathematical induction? What sorts of theorems can the principle of mathematical

Ngày tải lên: 17/11/2016, 22:23

... semester • Function is extremely important in mathematics and computer science • linear, polynomial, exponential, logarithmic, • Don’t worry! For discrete mathematics, we need to understand functions ... Onto Functions Sequences and Summation Recursion 4.1 Chapter 4 Sets and Functions Discrete Structures for Computer Science (CO1007) on Ngày Trang 2Nguyen An Khuong, Huynh Tuong NguyenContents Sets ... which often have thesame properties Example • Set of all the students who are currently taking Discrete Mathematics 1 course • Set of all the subjects that K2011 students have to take in the first

Ngày tải lên: 29/03/2017, 18:30

... one of three fields: Information system (32 projects), Software Engineering (12 projects) and Computer Science (15 projects) How many ways are there for a student to choose? Solution: 32 + 12 + ... & Combinations Example Question: How many ways we can choose3 students fromthe facultiesof Computer Science, Electrical Engineering and Mechanical Engineering? Trang 24Nguyen An Khuong, Huynh ... Introduction Example • In games: playing card, gambling, dices, • How many allowable passwords on a computer system? • How many ways to choose a starting line-up for a football Trang 4Nguyen An Khuong,

Ngày tải lên: 29/03/2017, 18:30

... development of databases DatabasesIntroduction Michael EmmerichLeiden Institute for Advanced Computer Science, Leiden University January 17, 2012 Michael T M Emmerich Databases Trang 2Introductory ... 16Introductory example Overview of the courseHistorical development of databases The early days I 1960s: Computers become available for companies I First database systems store data sequentially on punch ... Dbase-III (later FoxPro),System R/R+, IBM-DB2, Watcom SQL, etc I Simple databases for personal computer arise, such as Excel/Access I 1990ties: The internet emerges and with it web-based database

Ngày tải lên: 16/03/2014, 16:20

... NS­2 Tutorial Kameswari Chebrolu Dept. of Computer Science and Engineering,  IIT Bombay Motivation for Simulations ● Cheap ­­  does not require costly equipment ... Topology Generation tools ●  Visualization tools (NAM), Tracing ● NS Structure NS is an object oriented discrete­event simulator – – ● Simulator maintains list of events and executes one event after 

Ngày tải lên: 16/03/2014, 17:20

... Trang 1THE COMPUTER SCIENCE PH.D PROGRAMAT CARNEGIE MELLON August 2013 edited bySrinivasan Seshan Frank Pfenning Computer Science Department Carnegie Mellon University ... 35 Trang 41 IntroductionCarnegie Mellon’s Computer Science Ph.D program aims to produce educated researchers, teachers, and future leaders in Computer Science ThePh.D degree is a certification ... student has a broad edu-cation in Computer Science and has performed original research in the area.This document is an informal description of the Computer Science Ph.D pro-gram; herein “we”

Ngày tải lên: 22/04/2014, 12:43

... Trang 3Ophir Frieder, Gideon Frieder, and David GrossmanComputer Science Programming Basics with Ruby Trang 4Computer Science Programming Basics with Rubyby Ophir Frieder, Gideon Frieder, ... core of computer science Such issues should be, and are, covered indepth in a variety of subsequent courses Our target audience is students and practitioners who wish to learn computer scienceusing ... Nazli) Preface | xiii Trang 17CHAPTER 1 Introduction to Computer Sciencewe intentionally forgo many of the intricacies of the language Computer science is never tied to a programming language; it

Ngày tải lên: 28/04/2014, 15:54

... impulse function is a mathematical artifact convenient for expressingmathematically the pdf of a discrete random variablex, as given by Equation (2-35) For the pdf f(x) of a discrete random variable ... Thefundamental mathematical disciplines employed in QoS studies includeprobability theory, random variables, stochastic processes, and queuingtheory A basic understanding of these mathematical ... explain these concepts in plainterms without necessarily involving rigorous mathematics Throughout thebook, application of the mathematics discussed in this chapter will bediscussed when appropriate

Ngày tải lên: 01/06/2014, 12:38

... COMPUTER SCIENCE Trang 13Introduction to Computer ScienceWHAT IS COMPUTER SCIENCE? Computer Science is defined in different ways by different authors Wikipedia (http://en.wikipedia.org/wiki/Computer_science) ... world In that sense, computer science ismore like mathematics than science Some argue that computer science is really computer art (where “art”means practice) On the other hand, computer scientists ... as the central focus of computer science It’s also a fair question to ask, “How is computer science a science?” In contrast to physics, biology, andchemistry, computer science is not based on

Ngày tải lên: 27/06/2014, 12:20

... to Computer Science WHAT IS COMPUTER SCIENCE? Computer Science is defined in different ways by different authors Wikipedia (http://en.wikipedia.org/wiki/Computer_science) defines computer science ... world In that sense, computer science ismore like mathematics than science Some argue that computer science is really computer art (where “art”means practice) On the other hand, computer scientists ... as the central focus of computer science It’s also a fair question to ask, “How is computer science a science?” In contrast to physics, biology, andchemistry, computer science is not based on

Ngày tải lên: 12/08/2014, 21:22

... learning the “math facts” for binary math You learned the math facts for base 10 when you studied your addition, subtraction, and multiplication tables in elementary school The base-2 math facts ... the same value COMPUTER WORD SIZE Each computer deals with a certain number of bits at a time The early hobbyist computers manipulated bits at a time, and so were called “8-bit computers.” Another ... computing, computer scientists have developed techniques for analyzing the performance and judging the relative quality of different algorithms REPRESENTING ALGORITHMS WITH PSEUDOCODE In computer science,

Ngày tải lên: 12/08/2014, 21:22

... the simple math facts for binary math, and showed how subtraction isaccomplished using 2’s-complement addition We also discussed the concept of the computer word, and theimplications of computer ... performing mathematical, logical, and comparison functions.The instruction set of a computer is the list of primitive operations that the computer hardware is wired toperform Modern computers ... stored in a word of computer memory By the way, a “word” of memory is the basic unit ofstorage for a computer A 16-bit computer has a word size of 16 bits, or two bytes A 32-bit computer has a word

Ngày tải lên: 12/08/2014, 21:22

... its size and complexity initially made it more difficult to implement, especially onsmaller computers Computer scientists also praise a language for expressiveness This is a somewhat subjective ... were much more independent of the computer hardware Programs can be compiled or interpreted Compilers generate machine instructions that can run directly on the computer, independent of further ... your own computer, if you havethe room on your disk You can get to the same documentation on-line at the Sun website, but your access will be faster if the files are resident on your own computer

Ngày tải lên: 12/08/2014, 21:22

... easier A computer network is a group of computers that use common protocols to exchange information and share resources The computers in a network communicate in a variety of ways Some of the computers ... satellite, or microwaves Two computers can communicate even if they are not directly connected They can utilize a third computer to relay information In the context of a computer network, a protocol ... a short interval Computer protocols are sometimes quite analogous to such human behavior Computer networks can be classified based on their size A small network that connects computers contained

Ngày tải lên: 12/08/2014, 21:22

... a computer wants tosend information, the protocol requires the computer to “listen” to what’s on the wire, waiting for a quiet time,before broadcasting; that’s the carrier sense part When a computer ... packet over the adjoining network to the appropriate computer, or to the next router Eventually the destination computer will be a local computer on a network served by the last router in thechain ... and hence is calledthe internet A computer on a LAN connects to the wider internet through a gateway or router computer, whichconnects the LAN to the internet Computers communicate over a network

Ngày tải lên: 12/08/2014, 21:22

... would contain a major field of study If 300 studentsmajor in computer science, there will be 300 lines containing the words “Computer Science” Such a report isprobably not what one had in mind ... suppose the Computer Science department changes its name to Information Technologydepartment The following UPDATE statement will change all Faculty rows that currently show ComputerScienceas the ... show Information Technology: UPDATE Faculty SET Dept = 'Information Technology' WHERE Dept = 'Computer Science'; This one statement corrects all appropriate rows Deleting rows of information from

Ngày tải lên: 12/08/2014, 21:22

... unethical use of computers and software? Unethical uses of computers include using computers to defraud others, using computers to improperly obtain personal information, using computers to cause ... Simply damaging a computer, for instance by releasing a computer virus, can be punished with years in prison Even causing damage by accident while improperly accessing another computer can be punished ... both “harmless” hacking and computer fraud The Computer Fraud and Abuse Act was first passed in 1986, and it was amended in 1994, 1996, and 2001 Accessing a government computer without authorization,

Ngày tải lên: 12/08/2014, 21:22

... summation page 55 Get it?Despite all the parallels between continuous and discrete math, some continuous notions have no discrete analog For example, the chain rule of infinite calculus is a handy ... domain of pure research, where studentsmight think that total chaos reigns This is real mathematics Authors oftextbooks rarely dare to ask level 5 questions x is an integer or m isn’t (Or, by pessimists, ... powers: Trang 454 SUMSThis formula indicates why harmonic numbers tend to pop up in the solutions to discrete problems like the analysis of quicksort, just as so-called natural logarithms arise naturally

Ngày tải lên: 14/08/2014, 04:21

... Trang 1Special Numbers SOME SEQUENCES of numbers arise so often in mathematics that we ognize them instantly and give them special names For example, everybodywho ... numbers We can thereforeperform “absorption” in terms like n[z] and k{ T}, when we do proofs bymathematical induction Every permutation is equivalent to a set of cycles For example, considerthe ... little more work and a dose the worm numbers~ of calculus We learned in Chapter 2 that H, is the discrete analog of the they’re so slow.continuous function Inn The natural logarithm is defined

Ngày tải lên: 14/08/2014, 04:21