Illustration of a recursive function, MATLAB in Mathematics

Assignment Help:

Illustration of a recursive function:

illustration is of a recursive function which does not return anything, but simply prints. The below function prtwords receives a sentence, and prints words in the sentence in the reverse order. The algorithm for prtwords function is as shown below:

  •  Receive a sentence as input argument.
  •  Use strtok to split the sentence into the first word and the rest of the sentence.
  •  If the rest of the sentence is not blank (in another words, if there is more to it), recursively call the prtwords function and pass to it the rest of the sentence.
  •  Print the word.

The function definition is as shown:

1179_Illustration of a recursive function.png

An example of calling the function passes the sentence "what does this do":

>> prtwords('what does this do')

do

this

does

what

What occurs when the function is called here is outlined as shown.

1054_Illustration of a recursive function1.png

In this illustration, the base case is when the rest of the string is empty; in another words, the end of the original sentence has been reached. Each time the function is called, then the execution of the function is interrupted by a recursive call to the function, till the base case is reached. Whenever the base case is reached, the whole function can be executed, involving the printing of the word (in the base case, the word 'do'). The execution of the function is once completed, the program returns to the earlier version of the function in which the word was 'this', and finishes the execution by printing the word 'this'. This continues; the versions of the function are completed in the reverse order, therefore the program ends up printing the words from the sentence in the reverse order.


Related Discussions:- Illustration of a recursive function

Built in recursive function in matlab, Built in recursive function in MATLA...

Built in recursive function in MATLAB: We have seen that the built-in function in MATLAB to compute factorials, termed as the factorial and we know how to implement the iterat

Counting in a while loop, Counting in a While Loop: Whenever it is not...

Counting in a While Loop: Whenever it is not known ahead of the time how many values will be entered into the script, it is often essential to count the number of values which

Plot functions, Plot Functions: Faraway, we have plotted to generate t...

Plot Functions: Faraway, we have plotted to generate two-dimensional plots and bar to generate bar charts. We have seen how to clear the Figure Window by using clf, and how to

Built-in functions for complex numbers, Built-in functions for Complex numb...

Built-in functions for Complex numbers:   We know that in MATLAB both i and j are built-in functions which return √-1 (therefore, they can be thought of as built-in constants).

Empty vectors, Empty Vectors: An empty vector or in another words, a v...

Empty Vectors: An empty vector or in another words, a vector which stores no values, can be generated using the empty square brackets: >> evec = [] evec = [] >> lengt

Illustration of labels and prompts, Illustration of Labels and prompts: ...

Illustration of Labels and prompts: The program below prompts the user for endpoints (x1, y1) and (x2, y2) of a line segment, and computes the midpoint of the line segment, th

Use of string variables, Use of string variables: The Characters invol...

Use of string variables: The Characters involve letters of the alphabet, punctuation marks, digits, white space, and control characters. The Control characters are characters

Illustration of writing variables to a file, Illustration of Writing variab...

Illustration of Writing variables to a file: For illustration, in the below session in the Command Window, 3 variables are generated; these are then exhibited using who. Then,

Illustration of logical vectors, Illustration of Logical vectors: Call...

Illustration of Logical vectors: Calling the function appears to return similar vector as simply vec > 5, and summing the result still works to determine how many elements wer

Symbolic expression, Symbolic Expression The solve function solves an e...

Symbolic Expression The solve function solves an equation and returns the solution(s) as symbolic expressions. The answer can be converted to numbers by using any numeric funct

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd