Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > The Ackermann’s functiona)Has quadratic...
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The Ackermann’s function
- a)Has quadratic time complexity
- b)Has exponential time complexity
- c)Can't be solved iteratively
- d)Has logarithmic time complexit
Correct answer is option 'B'. Can you explain this answer?
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The Ackermann’s functiona)Has quadratic time complexityb)Has exp...
Ackermann’s function has exponential time complexity,
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The Ackermann’s functiona)Has quadratic time complexityb)Has exp...
The Ackermann function is a mathematical function that takes two non-negative integers as input and returns a non-negative integer as output. It is named after Wilhelm Ackermann, a German mathematician who introduced the function in 1928.
The function is defined recursively as follows:
ackermann(m, n) =
- n + 1 if m = 0
- ackermann(m - 1, 1) if m > 0 and n = 0
- ackermann(m - 1, ackermann(m, n - 1)) if m > 0 and n > 0
The function is known for its rapidly increasing values as the inputs increase. For example, ackermann(3, 3) = 29, ackermann(4, 2) = 65533, and ackermann(5, 0) is a number with more than 19,000 digits.
The Ackermann function has important applications in computer science, particularly in the analysis of algorithm complexity. It is used to study the growth rates of functions and can be used to show that certain algorithms have exponential time complexity.
The function is defined recursively as follows:
ackermann(m, n) =
- n + 1 if m = 0
- ackermann(m - 1, 1) if m > 0 and n = 0
- ackermann(m - 1, ackermann(m, n - 1)) if m > 0 and n > 0
The function is known for its rapidly increasing values as the inputs increase. For example, ackermann(3, 3) = 29, ackermann(4, 2) = 65533, and ackermann(5, 0) is a number with more than 19,000 digits.
The Ackermann function has important applications in computer science, particularly in the analysis of algorithm complexity. It is used to study the growth rates of functions and can be used to show that certain algorithms have exponential time complexity.
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The Ackermann’s functiona)Has quadratic time complexityb)Has exponential time complexityc)Can't be solved iterativelyd)Has logarithmic time complexitCorrect answer is option 'B'. Can you explain this answer? for Computer Science Engineering (CSE) 2025 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about The Ackermann’s functiona)Has quadratic time complexityb)Has exponential time complexityc)Can't be solved iterativelyd)Has logarithmic time complexitCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The Ackermann’s functiona)Has quadratic time complexityb)Has exponential time complexityc)Can't be solved iterativelyd)Has logarithmic time complexitCorrect answer is option 'B'. Can you explain this answer?.
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