concrete mathematics a foundation for computer science phần 8 doc

Applied Mathematics for Database Professionals phần 8 doc

Applied Mathematics for Database Professionals phần 8 doc

... count(*) from DEPT d where d.MGR = r.MGR); CHAPTER 11 ■ IMPLEMENTING DATABASE DESIGNS IN ORACLE 288 7451CH11.qxd 5/15/07 2:26 PM Page 288 where not exists(select 'This employee is assigned as a ... Here is the formal specification of this table constraint: CHAPTER 11 ■ IMPLEMENTING DATABASE DESIGNS IN ORACLE2 68 7451CH11.qxd 5/15/07 2:26 PM Page 2 68 Listing 11-25. Tuple Const...
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Schaum’s Outline Series OF Principles of Computer Science phần 1 doc

Schaum’s Outline Series OF Principles of Computer Science phần 1 doc

... Horses 17 5 Hackers 17 6 Can Computers Kill? 17 7 Summary 17 8 Review Questions 17 9 APPENDIX Answers to Review Questions 18 0 Index 217 CONTENTS vii SCHAUM’S OUTLINE OF Principles of COMPUTER SCIENCE ... most modern computers. 4 INTRODUCTION TO COMPUTER SCIENCE [CHAP. 1 SCHAUM’S OUTLINE OF Principles of COMPUTER SCIENCE CARL REYNOLDS Department of...
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concrete mathematics a foundation for computer science phần 1 pdf

concrete mathematics a foundation for computer science phần 1 pdf

... recurrence makes it possible to build a table of small values very quickly. Perhaps we’ll be able to spot a pattern and guess the answer. n 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 J(n) 1 1 3 1 3 5 7 1 3 ... index. ISBN o-2 01- 14236-8 1. Mathematics 19 61- 2. Electronic data processing Mathematics. I. Knuth, Donald Ervin, 19 38- . II. Patashnik, Oren, 19 54- . I...
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concrete mathematics a foundation for computer science phần 2 pptx

concrete mathematics a foundation for computer science phần 2 pptx

... as a binary operation, just as addition and subtraction are binary operations. Mathematicians have used mod this way informally for a long time, taking various quantities mod 10, mod 27 7, and ... name and conquer. a = ~ap’J , a- ’ = a+ a’; The change of vari- able from k to j is b = [va-‘l , va-’ = b -v’. Thus a = {a ‘} is the fractional part of a- ‘, and v’ is the mumble-fra...
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concrete mathematics a foundation for computer science phần 3 ppsx

concrete mathematics a foundation for computer science phần 3 ppsx

... 87 106 1 93 299 492 685 878 1071 1264 1'1'1'2&apos ;3& apos; 4' 7'11'18'25&apos ;32 ' 39 ' 71'110'181'252&apos ;32 3' 39 4' 465"" are ... lo 1'10'9'8'7'b'5'4&apos ;3& apos;5'2&apos ;3& apos;1'2'1'2'1'2'1'1'~'1'1'1&a...
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concrete mathematics a foundation for computer science phần 4 ppsx

concrete mathematics a foundation for computer science phần 4 ppsx

... n fans. How many ways h(n, k) are there for exactly k fans to get their own hats back? For example, if n = 4 and if the hats and fans are named A, B, C, D, the 4! = 24 possible ways for hats ... land generate the following numbers of rightful owners: ABCD 4 BACD 2 CABD 1 DABC 0 ABDC 2 BADC 0 CADB 0 DACB 1 ACBD 2 BCAD 1 CBAD 2 DBAC 1 ACDB 1 BCDA 0 CBDA 1 DBCA 2 ADBC 1 BDAC 0 CDA...
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concrete mathematics a foundation for computer science phần 5 pps

concrete mathematics a foundation for computer science phần 5 pps

... same pattern holds for continued fractions of any depth. It is easily proved by induction; we have, for example, K(ao,al,az ,a3 +l /a4 ) := K(ao,al ,a2 ,a3 ,a4 ) K(al, az, a3 + l /a4 1 K(al,az,as,ad) ... arise naturally. Let’s consider the pedigree of a male bee. Each male (also known as a drone) is produced asexually from a female (also known as a queen); each female, how...
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concrete mathematics a foundation for computer science phần 6 doc

concrete mathematics a foundation for computer science phần 6 doc

... because 2 - & z 0. 268 . This needs to be taken into account if we try to use formula (7.38) in numerical calculations. For example, a fairly expensive name-brand hand Icalculator comes ... 0;) as n -+ 00, un:less z = 0. This shows that formal power series can be manipulated algebraically without worrying about convergence. Example 6: A recurrence that goes ail the way...
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concrete mathematics a foundation for computer science phần 7 pot

concrete mathematics a foundation for computer science phần 7 pot

... month each person is reassigned to an adjacent state, each adjacent state being equally likely. (Here’s a diagram of the adjacencies: The initial states are circled.) For example, Alice is restationed ... (8.82) that A would probably beat B, that B would probably beat C, and that C would probably beat A; but all three patterns are simultaneously in the game.) What are each player’s cha...
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concrete mathematics a foundation for computer science phần 8 doc

concrete mathematics a foundation for computer science phần 8 doc

... “Eulerian” (eighteenth-century) mathematics. 9.3 0 MANIPULATION 447 This may look worse than the sum we began with, but it’s actually a step for- ward, because we have very good approximations for ... actually 15 485 863. Exercise 21 shows that a still more accurate approximation to P, results if we begin with a still more accurate approximation to n(n) in place of (9.46). 9.6...
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concrete mathematics a foundation for computer science phần 9 pps

concrete mathematics a foundation for computer science phần 9 pps

... results about Fermat’s Last Theorem; see Ribenboim j249j.j A ANSWERS TO EXERCISES 527 If the harmonic aa and a bb. Thus each bb behaves like a drone in the bee tree and each aa behaves like a ... thereby eliminating an upper parameter and a lower parameter. Thus, for example, we get closed forms for F( a, b; a - 1; z), F( a, b; a - 2; z), etc. Gauss [116, $71...
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concrete mathematics a foundation for computer science phần 10 docx

concrete mathematics a foundation for computer science phần 10 docx

... V. Waugh and Margaret W. Maxfield, “Side-and-diagonal num- bers,” Mathematics Magazine 40 (1967), 74-83. 298 Warren Weaver, “Lewis Carroll and a geometrical paradox,” American Mathematical Monthly ... Mark Haiman Andrei Broder, Jim McGrath Oren Patashnik Joan Feigenbaum, Dave Helmbold Anna Karlin Oren Patashnik, Alex Schaffer Pang Chen, Stefan Sharkansky Arif Merchant, Stefan Sharkansky...
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