Step by Step solution about How to resolve the algorithm Range consolidation step by step in the Mathematica/Wolfram Language programming language

The provided Wolfram programming language code performs the following tasks:

1. Data Initialization:

   • It defines a list called data that contains nested lists of numbers. Each inner list represents a set of intervals. For example:
     • {{1.1,2.2}} represents the interval from 1.1 to 2.2 (inclusive).
     • {{6.1,7.2},{7.2,8.3}} represents two intervals, one from 6.1 to 7.2 and another from 7.2 to 8.3.

2. Interval Conversion:

   • Map[Interval, data, {2}] converts each list of numbers in data into a list of Interval objects. The {2} argument specifies that it should operate on the second level of nesting, transforming each inner list.

3. Interval Union:

   • IntervalUnion@@@ then applies the IntervalUnion function to each list of intervals created in the previous step. This function combines overlapping and adjacent intervals into a single interval.

4. Column Display:

   • Finally, Column[IntervalUnion@@@Map[Interval,data,{2}]] displays the resulting unified intervals in a vertical column, with each interval on a separate line.

Here's a detailed breakdown of what happens in the code:

• data is a list of lists of numbers, where each inner list represents a set of intervals.
• Map[Interval, data, {2}] converts each inner list into a list of Interval objects using the Interval constructor.
• IntervalUnion@@@ applies the IntervalUnion function to each list of intervals, unifying them.
• Column[] displays the resulting intervals in a vertical column.

The output of the code is a column of intervals that have been unified from the original data.

data={{{1.1,2.2}},
{{6.1,7.2},{7.2,8.3}},
{{4,3},{2,1}},
{{4,3},{2,1},{-1,-2},{3.9,10}},
{{1,3},{-6,-1},{-4,-5},{8,2},{-6,-6}}};
Column[IntervalUnion@@@Map[Interval,data,{2}]]