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{ao, a1, a2, the following looped algorithm: Let A = ,ak} be an indexed array. If A[i] denotes the ith entry, consider ReWrite(A): i = 1 %3D While i < k: A[i]: = 2 i = i +1 Return A a) What will be the output for the command ReWrite([1,2,3,4,5])? (look carefully) b) Is this algorithm 'one to one' from the indices of the array to the natural numbers? Explain. c) Is this algorithm surjective from the indices of the array 'onto' the natural numbers? Explain. d) Is this algorithm bijective from its set of inputs to its set of outputs? Explain.

{ao, a1, a2, the following looped algorithm: Let A = ,ak} be an indexed array. If A[i] denotes the ith entry, consider ReWrite(A): i = 1 %3D While i < k: A[i]: = 2 i = i +1 Return A a) What will be the output for the command ReWrite([1,2,3,4,5])? (look carefully) b) Is this algorithm 'one to one' from the indices of the array to the natural numbers? Explain. c) Is this algorithm surjective from the indices of the array 'onto' the natural numbers? Explain. d) Is this algorithm bijective from its set of inputs to its set of outputs? Explain.

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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{ao, a1, a2 - the following looped algorithm: Let A = ar} be an indexed array. If A[i] denotes the ith entry, consider .... ReWrite(A): i = 1 While i < k: A[i]: = 2 i = i +1 Return A a) What will be the output for the command ReWrite([1,2,3,4,5])? (look carefully) b) Is this algorithm 'one to one' from the indices of the array to the natural numbers? Explain. c) Is this algorithm surjective from the indices of the array 'onto' the natural numbers? Explain. d) Is this algorithm bijective from its set of inputs to its set of outputs? Explain.
Transcribed Image Text:{ao, a1, a2 - the following looped algorithm: Let A = ar} be an indexed array. If A[i] denotes the ith entry, consider .... ReWrite(A): i = 1 While i < k: A[i]: = 2 i = i +1 Return A a) What will be the output for the command ReWrite([1,2,3,4,5])? (look carefully) b) Is this algorithm 'one to one' from the indices of the array to the natural numbers? Explain. c) Is this algorithm surjective from the indices of the array 'onto' the natural numbers? Explain. d) Is this algorithm bijective from its set of inputs to its set of outputs? Explain.
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