Step by Step solution about How to resolve the algorithm Loops/Downward for step by step in the Mathematica/Wolfram Language programming language

These code examples demonstrate different loop constructs in Wolfram programming language to count down from 10 to 0 and print the values. Let's break down each example:

For Loop:

For[i = 10, i >= 0, i--, Print[i]]

The For loop is initialized with i = 10. It then checks if i is greater than or equal to 0 (i >= 0). If the condition is true, it executes the loop body, which prints i and then subtracts 1 from i (i--). The loop repeats until the condition becomes false (when i reaches 0).

Do Loop:

Do[Print[i], {i, 10, 0, -1}]

The Do loop is similar to the For loop, but the loop parameters are specified differently. In this case, the loop iterates over values of i from 10 to 0 with a step of -1. The loop body, which prints i, is executed for each value of i.

Scan Function:

Scan[Print, Range[10, 0, -1]]

The Scan function applies a function (in this case, Print) to each element of a list. In this example, the list is generated using the Range function with a step of -1, which creates a list of numbers from 10 to 0. The Scan function then applies the Print function to each element of the list, printing the values from 10 to 0.

All three loops produce the same output: they count down from 10 to 0 and print the values. The choice of loop construct depends on personal preference and the specific needs of the program.

For[i = 10, i >= 0, i--, Print[i]]


Do[Print[i], {i, 10, 0, -1}]


Scan[Print, Range[10, 0, -1]]