C How to Program (8th Edition)
8th Edition
ISBN: 9780133976892
Author: Paul J. Deitel, Harvey Deitel
Publisher: PEARSON
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Chapter 20, Problem 20.9E
(Abstract Base Classes) Suggest one or more levels of abstract base classes for the Shape hierarchy discussed in this chapter and shown in Fig19.3. (The first level is Shape, and the second level consists of the classes TwoDimensionalShape and ThreeDimensionalShape.)
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Given the dependency diagram of attributes C1,C2,C3,C4,C5 in a table shown in the following figure, the primary key attributes are underlined.
Make a database with multiple tables from attributes as shown above that are in 3NF, showing PK, non-key attributes, and FK for each table? Assume the tables are already in 1NF. Hint: 3 tables will result after deducing 1NF -> 2NF -> 3NF]
1. Using one of the method described in class and/or textbook (Section 9.1) convert the following
regular expression into a state transition diagram:
(0+ 10*1)* (01 + 10)
Indicate in your answer how did you arrive at the result as follows: Write down all the state
transition diagrams that you constructed for all the subexpressions and clearly indicate which
diagram corresponds to which expression. Do not simplify any state transition diagram.
2. Consider the following state transition diagram over Σ = {a,b}:
b
A
a
a
C
b
B
a
a
b
D
За
a
Using the method described in class and in the textbook (Section 9.2) convert the diagram
into an equivalent regular expression. Include all the intermediate steps in your answer.
3. Are the languages L1, L2, and L3 below over the alphabet Σ = {a, b, c} regular or non-regular?
Justify your answer carefully.
(a) L₁ = {a¹b2jc²i : i ≥ 0, j > 2}
(b) L₂ = L₁n {akbm c³p: k,m,p≥ 0}
(c) L3 = {a²ib²j+1 : i,j ≥ 0}^{akbm c³p : k,m,p ≥ 0}
(1 point)
By dragging statements from the left column to the right column below, give a proof by induction of the following statement:
an
=
= 9" - 1 is a solution to the recurrence relation an = 9an-18 with ao
=
: 0.
The correct proof will use 8 of the statements below.
Statements to choose from:
Note that a₁ =
9a0 + 8.
Now assume that P(n) is true for all n ≥ 0.
Your Proof: Put chosen statements in order in this
column and press the Submit Answers button.
Let P(n) be the predicate, "a = 9″ – 1".
απ = 90 − 1 =
Note that
Let P(n) be the predicate, "an
9" - 1 is a
solution to the recurrence relation an = 9an-1 +8
with ao = 0."
-
Now assume that P(k + 1) is true.
Thus P(k) is true for all k.
Thus P(k+1) is true.
Then ak+1
=
9ak +8, so P(k + 1) is true.
= 1 − 1 = 0, as required.
Then = 9k — 1.
ak
Now assume that P(k) is true for an arbitrary
integer k ≥ 1.
By the recurrence relation, we have
ak+1 =
ak+1 =
= 9ak + 8 = 9(9k − 1) + 8
This simplifies to
9k+19+8 = 9k+1 − 1
Then 9k+1 − 1 = 9(9*…
Chapter 20 Solutions
C How to Program (8th Edition)
Ch. 20 - Prob. 20.3ECh. 20 - (Polymorphism vs. switch logic) Discuss the...Ch. 20 - (Inheriting Interface vs. Implementation)...Ch. 20 - Prob. 20.6ECh. 20 - (Dynamic Binding vs. Static Binding) Distinguish...Ch. 20 - Prob. 20.8ECh. 20 - (Abstract Base Classes) Suggest one or more levels...Ch. 20 - Prob. 20.10ECh. 20 - (Polymorphic Application) Youve been asked to...Ch. 20 - (Payroll System Modification) Modify the payroll...
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