This code defines a MATLAB function called `myFact`, which calculates...

February 4, 2025 at 05:01 AM

function m = myFact(n) m = 1; for i = 1:n m = m*i; end end

This code defines a MATLAB function called myFact, which calculates the factorial of a given non-negative integer n.

Breakdown:

  1. Input Argument:

    • n: The input to the function, presumed to be a non-negative integer.
  2. Initialization:

    • m = 1: The variable m is initialized to 1. It will hold the result of the factorial computation.
  3. For Loop:

    • for i = 1:n iterates over all integers from 1 to n. For each iteration:
      • m = m * i: The current value of m is multiplied by i (the loop variable), which progressively computes the factorial.
  4. Output:

    • The result (m) is the factorial of n and is returned as the output of the function.

Example:

  • If n = 5:
    • Iteration 1: m = 1 * 1 = 1
    • Iteration 2: m = 1 * 2 = 2
    • Iteration 3: m = 2 * 3 = 6
    • Iteration 4: m = 6 * 4 = 24
    • Iteration 5: m = 24 * 5 = 120
    • Function returns 120, which is 5!.

In Summary:

The function myFact(n) computes and returns the factorial of the input n, which is defined mathematically as: [ n! = 1 \cdot 2 \cdot 3 \cdot \dots \cdot n ]

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