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Questions and Answers
What is recursion?
What is recursion?
- A technique by which a function relies upon smaller instances of the very same type of structure in its representation
- A technique by which a data structure makes multiple calls to itself during execution
- A technique by which a function calls itself during execution (correct)
- A technique by which a data structure relies upon larger instances of the same type of structure in its representation
Which type of recursion involves a function calling itself from within itself?
Which type of recursion involves a function calling itself from within itself?
- Mutual recursion
- Nested recursion
- Direct recursion (correct)
- Indirect recursion
In the illustrative examples, what is the output for the factorial of 12?
In the illustrative examples, what is the output for the factorial of 12?
- 144
- 1225
- 120
- 479001600 (correct)
What is the base case in the recursive implementation of the factorial function?
What is the base case in the recursive implementation of the factorial function?
Which technique often used for looking up words in the dictionary involves recursion?
Which technique often used for looking up words in the dictionary involves recursion?
Which type of recursion involves more than one function calling one another mutually?
Which type of recursion involves more than one function calling one another mutually?
What type of recursion is exemplified by the 'fun' function in the first code snippet?
What type of recursion is exemplified by the 'fun' function in the first code snippet?
In which type of recursion does the recursive call occur as the first statement in the function?
In which type of recursion does the recursive call occur as the first statement in the function?
If a recursive function calls itself more than once, what type of recursion is it known as?
If a recursive function calls itself more than once, what type of recursion is it known as?
What type of recursion is exemplified by the 'fun' function in the fourth code snippet?
What type of recursion is exemplified by the 'fun' function in the fourth code snippet?
In nested recursion, what does the recursive function pass as a parameter?
In nested recursion, what does the recursive function pass as a parameter?
What type of recursion involves multiple functions calling one another in a circular manner?
What type of recursion involves multiple functions calling one another in a circular manner?
In indirect recursion, how do the functions call each other?
In indirect recursion, how do the functions call each other?
What is the output of the factorial function when the input is 12?
What is the output of the factorial function when the input is 12?
Explain direct recursion and give an example from the text.
Explain direct recursion and give an example from the text.
What is the difference between direct recursion and indirect recursion?
What is the difference between direct recursion and indirect recursion?
Give an example of indirect recursion and explain how it differs from direct recursion.
Give an example of indirect recursion and explain how it differs from direct recursion.
In which type of recursion does the recursive call occur as the first statement in the function?
In which type of recursion does the recursive call occur as the first statement in the function?
Explain the concept of recursion and provide an example from the text.
Explain the concept of recursion and provide an example from the text.
What is the difference between Tail Recursion and Head Recursion?
What is the difference between Tail Recursion and Head Recursion?
Can you give an example of Tree Recursion?
Can you give an example of Tree Recursion?
What is Nested Recursion?
What is Nested Recursion?
In the context of recursion, what is Indirect Recursion?
In the context of recursion, what is Indirect Recursion?
What is the main characteristic of Tail Recursion?
What is the main characteristic of Tail Recursion?
Explain the concept of Head Recursion.
Explain the concept of Head Recursion.
What distinguishes Tree Recursion from Linear Recursion?
What distinguishes Tree Recursion from Linear Recursion?
How is Nested Recursion different from other types of recursion?
How is Nested Recursion different from other types of recursion?
Explain the concept of Indirect Recursion.
Explain the concept of Indirect Recursion.
What are the defining features of Tail Recursion?
What are the defining features of Tail Recursion?
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Study Notes
Recursion
- Recursion is a programming concept where a function calls itself from within itself.
Types of Recursion
- Direct Recursion: a function calls itself directly.
- Example: a function calling itself from within itself.
- Indirect Recursion: multiple functions call each other in a circular manner.
- Example: function A calls function B, which calls function C, which in turn calls function A.
- Tail Recursion: the recursive call occurs as the first statement in the function.
- Head Recursion: the recursive call occurs at the end of the function.
- Tree Recursion: a function calls itself multiple times, creating a tree-like structure.
- Nested Recursion: a function passes itself as a parameter to another function.
- Linear Recursion: a function calls itself once.
Examples and Illustrations
- The output of the factorial function for input 12 is 479,001,600.
- The base case in the recursive implementation of the factorial function is when the input is 0 or 1.
Real-World Applications
- Recursion is often used for looking up words in a dictionary, where each word is defined in terms of other words.
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