Let's take the example of finding the factorial of a number (of a positive integer). The factorial of N is N * (N-1) * (N-2) * (N-3) ... * 3 * 2 *1 It is the product of all integers between that number (including that number) and 1. For example, factorial 2 = 2*1 = 2 factorial 3 = 3*2*1 = 6 factorial 4 = 4*3*2*1= 24 Now you define a recursive function Fac (N) as Fac (N) = Fac (N-1) * N, with Fac(1) predefined as 1. Thus, Fac(N-1) = Fac(N-2) * (N-1) and Fac(N-2) = Fac(N-3) * (N-2) and thus recursion takes over until such time fac(1) needs to be evaluated. We know the value of Fac(1) which is set as 1. Thus we can evaluate Factorial(N) using recursion.
No, patterns with terms that are not based upon previous terms are not recursive. Example: i * i where i is the nth term of the pattern.
It is often possible to find an explicit formula that gives the same answer as a given recursive formula - and vice versa. I don't think you can always find an explicit formula that gives the same answer.
The term recursive refers to the recurrence or repetition.
A recursive rule is one which can be applied over and over again to its own output
1) Recursive algorithms 2) Basic Principle 3) Analysis
For some algorithms recursive functions are faster, and there are some problems that can only be solved through recursive means as iterative approaches are computationally infeasible.
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Recursive refers to using a rule or procedure that can be applied repeatedly.
Yes, but a recursive function running for a long time would eventually cause your program to crash.
J. C. E. Dekker has written: 'Recursive equivalence types' -- subject(s): Recursive functions
No, patterns with terms that are not based upon previous terms are not recursive. Example: i * i where i is the nth term of the pattern.
* Debugging is easier * It is easier to understand the logic involved in the program * Testing is easier * Recursive call is possible * Irrelevant details in the user point of view are hidden in functions * Functions are helpful in generalizing the program
Ans: Merits of recursion are: Mathematical functions, such as Fibonacci series generation can be easily implemented using recursion as compared to iteration technique. Demerits of recursion are: Many programming languages do not support recursion; hence, recursive mathematical function is implemented using iterative methods. Even though mathematical functions can be easily implemented using recursion, it is always at the cost of execution time and memory space. The recursive programs take considerably more storage and take more time during processing.
write a java program to find factorial using recursive and non recursive
Anatolii Ivanovich Mal'tsev has written: 'Algorithms and recursive functions'
Guess you meant: can a recursive function call predefined functions? Answer: sure, why not.
Demerits of recursion are: Many programming languages do not support recursion; hence, recursive mathematical function is implemented using iterative methods. Even though mathematical functions can be easily implemented using recursion, it is always at the cost of execution time and memory space. The recursive programs take considerably more storage and take more time during processing.