Listopiaâ€™s Numeri:
Your Ultimate Toolkit for Advanced Numerical Analysis.
Numeri empowers developers and users alike to glean meaningful insights from data. Letâ€™s delve into the extraordinary capabilities that Numeri brings to your fingertips.
1. Build Range: Construct diverse numerical ranges effortlessly.

Starts  Ends: Specify a list of numbers as starts and another list as ends points to build a list of ranges.
E.g., For starts = [1, 5, 20, 4, 30] and end = [10, 3, 15, 1, 9], the result is [[1,10], [3,5], [1,4], [9,30]]. 
Number List  Interval: Generate ranges based on a list of numbers and a specified interval.
E.g., With list = [1, 5, 20] and interval = 2, the output is [[1, 3], [5, 7], [20, 22]]. 
Number List  Number Point: Create ranges using provided numbers as endpoints.
E.g., With list = [1, 5, 20] and point = 30, the output is [[1, 30], [5, 30], [20, 30]].
2. General Statistics: Perform comprehensive statistical analysis on your data.
 Example: With input [1, 5, 20, 4, 30] results include:
Minimum Index = 1
Maximum Index = 5
Median = 5
Variance = 146.5
Standard Deviation = 12.1
Rank = [1, 3, 4, 2, 5]
3. Modify Number Range List: Manipulate number range lists with precision.

Simplify: Merge overlapping or adjacent ranges.
E.g., Simplifying [[2, 3], [5, 10], [8, 12], [15, 20]] results in [[2, 3], [5, 12], [15, 20]]. 
Get Overlaps: Identify overlapping ranges.
E.g., Overlaps in [[2, 3], [5, 10], [8, 12], [15, 20]] are [[8, 10]]. 
Invert: Generate ranges representing the gaps between the existing ranges.
E.g., Inverting [[2, 3], [5, 10], [8, 12], [15, 20]] gives [[4, 4], [13, 14]].
4. N and (N  1) Operations: Perform operations between each number and its predecessor in a list.
 Example: With list [1, 5, 20, 4, 30],
Differences = [4, 15, 16, 26]
Growth Rates = [400%, 300%, 80%, 750%]
Sums = [6, 25, 24, 34]
Averages = [3, 12.5, 12, 17].
5. Cumulative Calculations: Compute cumulative values for a list of numbers.
 Example: With list [1, 5, 20, 4, 30],
Cumulative Sums = [1, 6, 26, 30, 60]
Cumulative Averages = [1, 3, 8.67, 7.5, 12]
Cumulative Products = [1, 5, 100, 400, 12000].
6. List â¨ť List: Conduct advanced operations between two lists.

Zip: Merge two lists element by element.
E.g., Zipping [1, 5, 20, 4, 30] and [10, 3, 15, 1, 9] yields [(1,10), (5,3), (20,15), (4,1), (30,9)]. 
Cross: Generate all possible pairs between two lists.
E.g., Crossing [1, 5, 20] and [10, 3] yields [(1,10), (1,3), (5,10), (5,3), (20,10), (20,3)]. 
Calculation: Apply various operations to the resulting list, including Sum, Minus, Multiply, Divide, Max, Min, and Average.
E.g., Sum of zipped lists [(1,10), (5,3), (20,15), (4,1), (30,9)] yields [11, 8, 35, 5, 39].
Experience the power of Numeri, your ultimate toolkit for numerical analysis.