By mathematical induction, prove that the following loop will add n elements in an array a[]...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
By mathematical induction, prove that the following loop will add n elements in an array a[] and store the sum in the variable "sum". sum = 0 k=0 while k < n sum = sum + a[k] k = k +1 State what you want to prove: State the loop invariant P(k): Show the initialization, i.e., P(0) is true: Show the maintenance step that assumes P(k) is true and proves that P(k+1) is true: Show the termination, and that it implies what you want to prove: By mathematical induction, prove that the following loop will add n elements in an array a[] and store the sum in the variable "sum". sum = 0 k=0 while k < n sum = sum + a[k] k = k +1 State what you want to prove: State the loop invariant P(k): Show the initialization, i.e., P(0) is true: Show the maintenance step that assumes P(k) is true and proves that P(k+1) is true: Show the termination, and that it implies what you want to prove:
Expert Answer:
Answer rating: 100% (QA)
Answer What we want to prove For the given loop sum 0 k 0 while k n sum sum ak k k 1 Sure lets perfo... View the full answer
Related Book For
Posted Date:
Students also viewed these programming questions
-
Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...
-
Owner Shan Lo is considering franchising her Happy Wok restaurant concept. She believes people will pay $5 for a large bowl of noodles. Variable costs are $1.50 a bowl. Lo estimates monthly fixed...
-
Geologists have learned of periods in the past when the Strait of Gibraltar closed off, and the Mediterranean Sea dried out and become a desert. Later, when the strait reopened, a massive saltwater...
-
In Problems 8394, find the exact value of each expression. cos (2 sin-12)
-
A random variable \(U\) is uniformly distributed on the interval \((-A, A)\) and its probability density function is zero otherwise. (a) Find an expression for \(A\) in terms of the variance...
-
ICE Drilling Inc.s balance sheet information and income statement are as follows: Additional information regarding ICE Drillings activities during 2014: 1. Loss on sale of equipment is $11,480. 2....
-
Acme Corp. just paid a dividend of $3.00 per share (ie., D 0 = $3.00). The dividend is expected to grow at a constant rate of 4% per year. What is the expected dividend at the end of year three (D 3...
-
Waddell Company had the following balances in its accounting records as of December 31, Year 1: The following accounting events apply to Waddell Companys Year 2 fiscal year: Jan. 1 Acquired $20,000...
-
The function f(x) = 1500e^0.03x represents the rate of flow of money in dollars per year. Assume a 10-year period at 4% compounded continuously. Find (A) the present value, and (B) the accumulated...
-
Think back to the CLC project in weeks 3 and 4 (and the Covid-19 issues). If you consider virtual teams, do you think that even with the increased technology of today, compared to 20 years ago or...
-
HAR Describe the transformations in the appropriate order that need to be applied HAHARS HAR to f(z) to get 9(2) ARSHAHARSHAHARSHAHARSHAHARSHAHARS g(x)=41(2x+2)-3RSHAHARSHAHARSHAHARSHAHARS...
-
Describing the level of engagement of the sales team in the company: There are 35 people that make up the sales team at XYZ Company and are generally happy with their employment. While they love...
-
Describe a recent organizational change in your organization (Google) that affected you. Extensively explain how would you discuss the leadership models , if there was no apparent leader in the...
-
One of your nurses was involved in a car accident. The nurse has recovered and wants to return to work. The nurse informs you that because of the accident they are not able to lift more than 20...
-
Explain the three different ways in which a new supplier can be created?
-
A circular concrete shaft liner with Youngs modulus of 3.4 million psi, Poissons ratio of 0.25, unconfined compressive strength 3,500 psi and tensile strength 350 psi is loaded to the verge of...
-
Suppose that c X and that f : E Y. a) Prove that f is continuous on E if and only if f-l (A) n is relatively closed in for all closed sets A in Y. b) Suppose that f is continuous on E. Prove that...
-
a) Suppose that 0 < y < 1/10 n for some integer n > 0. Prove that there is an integer 0 < w < 9 such that w/10 n+1 < y < w/10 n+1 + 1/10 n+1. b) Prove that given x [0, 1) there exist integers 0 < x...
-
Recall that the area of a parallelogram with base b and altitude h is given by bh, and the volume of a parallelepiped is given by the area of its base times its altitude. a) Let a, b R3 be nonzero...
-
What is the glass ceiling?
-
1. Whole Foods is a natural and organic foods retailer started by John Mackey and Renee Lawson in 1978. The company is headquartered in Austin, Texas. Today it operates 456 stores in the United...
-
This stagecoach likely makes a stop near you. Wells Fargo \& Company owns Wells Fargo Bank, which is one of the largest banks in the US with more than 8,800 bank branches in 40-plus states. Community...
Study smarter with the SolutionInn App