... count(*)
from DEPT d
where d.MGR = r.MGR);
CHAPTER 11 ■ IMPLEMENTING DATABASE DESIGNS IN ORACLE 288
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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
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Listing 11-25. Tuple Const...
... 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...
... 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...
... 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...
... 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...
... 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...
... 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...
... 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...
... “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...
... 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...
... 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...