Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
11th Edition
ISBN: 9780134670942
Author: Y. Daniel Liang
Publisher: PEARSON
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Textbook Question
Chapter 8, Problem 8.2PE
(Sum the major diagonal in a matrix) Write a method that sums all the numbers in the major diagonal in an n × n matrix of double values using the following header:
public static double sumMajorDiagonal (double[][] m)
Write a test
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Students have asked these similar questions
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*…
Given the following request to an AI chatbot, which response is more accurate? (You should use Google to verify that the factual claims in each response are accurate.)
Prompt
Is this true? The first recorded use of the phrase "when pigs fly" in print is in a 1616 play by Ben Jonson called "The Devil is an Ass," in which a character says, "When pigs fly, good-night!!"
Response
Response A
Response B
Yes, that's true! The phrase "when pigs fly" indeed appears in Ben Jonson's 1616 play The Devil is an Ass and was said during the second act in a conversation between Fitzdottrel and Pug. The phrase was first used to express skepticism or disbelief, suggesting that something is as unlikely to happen as the fanciful idea of pigs flying. This usage is often cited as one of the earliest instances of the phrase in print.
The claim that the phrase "when pigs fly" was first recorded in Ben Jonson's 1616 play "The Devil is an Ass" is not accurate. There is no evidence from the…
Chapter 8 Solutions
Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
Ch. 8.2 - Declare an array reference variable for a...Ch. 8.2 - Prob. 8.2.2CPCh. 8.2 - What is the output of the following code? int[] []...Ch. 8.2 - Which of the following statements are valid? int...Ch. 8.3 - Show the output of the following code: int[][]...Ch. 8.3 - Show the output of the following code: int[][]...Ch. 8.4 - Show the output of the following code: public...Ch. 8.5 - Prob. 8.5.1CPCh. 8.6 - What happens if the input has only one point?Ch. 8.7 - What happens if the code in line 51 in Listing 8.4...
Ch. 8.8 - Declare an array variable for a three-dimensional...Ch. 8.8 - Assume char[][][] x =new char[12][5][2], how many...Ch. 8.8 - Show the output of the following code: int[][][]...Ch. 8 - (Sum elements column by column) Write a method...Ch. 8 - (Sum the major diagonal in a matrix) Write a...Ch. 8 - (Sort students on grades) Rewrite Listing 8.2,...Ch. 8 - (Compute the weekly hours for each employee)...Ch. 8 - (Algebra: add two matrices) Write a method to add...Ch. 8 - (Algebra: multiply two matrices) Write a method to...Ch. 8 - (Points nearest to each other) Listing 8.3 gives a...Ch. 8 - (All closest pairs of points) Revise Listing 8.3,...Ch. 8 - Prob. 8.9PECh. 8 - (Largest row and column) Write a program that...Ch. 8 - (Game: nine heads and tails) Nine coins are placed...Ch. 8 - (Financial application: compute tax) Rewrite...Ch. 8 - (Locate the largest element) Write the following...Ch. 8 - (Explore matrix) Write a program that prompts the...Ch. 8 - (Geometry: same line ?) Programming Exercise 6.39...Ch. 8 - (Sort two-dimensional array) Write a method to...Ch. 8 - (Financial tsunami) Banks lend money to each...Ch. 8 - (Shuffle rows) Write a method that shuffles the...Ch. 8 - (Pattern recognition: four consecutive equal...Ch. 8 - Prob. 8.20PECh. 8 - (Central city) Given a set of cities, the central...Ch. 8 - (Even number of 1s) Write a program that generates...Ch. 8 - (Game: find the flipped cell) Suppose you are...Ch. 8 - (Check Sudoku solution) Listing 8.4 checks whether...Ch. 8 - Prob. 8.25PECh. 8 - (Row sorting) Implement the following method to...Ch. 8 - (Column sorting) Implement the following method to...Ch. 8 - (Strictly identical arrays) The two-dimensional...Ch. 8 - (Identical arrays) The two-dimensional arrays m1...Ch. 8 - (Algebra: solve linear equations) Write a method...Ch. 8 - (Geometry: intersecting point) Write a method that...Ch. 8 - (Geometry: area of a triangle) Write a method that...Ch. 8 - (Geometry: polygon subareas) A convex four-vertex...Ch. 8 - (Geometry: rightmost lowest point) In...Ch. 8 - (Largest block) Given a square matrix with the...Ch. 8 - (Latin square) A Latin square is an n-by-n array...Ch. 8 - (Guess the capitals) Write a program that...
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