OPEN-SOURCE SCRIPT
Balancelink : Partition Function 1.0
This script computes the partition function values 𝑝(𝑛) using Euler’s Pentagonal Number Theorem and displays them in a horizontally wrapped table directly on the chart. The partition function is a classic function in number theory that counts the number of ways an integer 𝑛 can be expressed as a sum of positive integers, disregarding the order of the summands.
Key Features
Efficient Calculation:
The script computes 𝑝(𝑛) for all orders from 0 up to a user-defined maximum (set by the "End Order" input). The recursive computation leverages Euler’s Pentagonal Number Theorem, ensuring the function is calculated correctly for each order.
Display Range Selection:
Users can select a specific range of orders (for example, from 𝑛 = 100 to 𝑛 = 200 to display.) This means you can focus on a particular segment of the partition function results without cluttering the chart.
Horizontally Wrapped Table:
The partition values are organized into a clean, horizontal table with a customizable number of columns per row (default is 20). When the number of values exceeds the maximum columns, the table automatically wraps onto a new set of rows for better readability.
Medium Text Size:
The table cells use a medium (normal) text size for easy viewing and clarity.
How to Use
Inputs:
Start Order (n): The starting index from which you want to display the partition function (default is 100).
End Order (n): The ending index up to which the partition function values will be displayed (default is 200).
Max Columns Per Row: Determines how many results are shown per row before wrapping to the next (default is 20).
Calculation:
The script calculates all 𝑝(𝑛) values from 0 up to the specified "End Order". It then extracts and displays only the values in the chosen range.
Visualization:
The computed values are shown in a neatly arranged table at the top right of your TradingView chart, making it simple to scroll through and inspect the partition function values.
Use Cases
Educational & Research:
Ideal for educators and students exploring concepts of integer partitions and number theory.
Data Analysis & Pattern Recognition:
Useful for those interested in the behavior and growth of partition numbers as 𝑛 increases.
Key Features
Efficient Calculation:
The script computes 𝑝(𝑛) for all orders from 0 up to a user-defined maximum (set by the "End Order" input). The recursive computation leverages Euler’s Pentagonal Number Theorem, ensuring the function is calculated correctly for each order.
Display Range Selection:
Users can select a specific range of orders (for example, from 𝑛 = 100 to 𝑛 = 200 to display.) This means you can focus on a particular segment of the partition function results without cluttering the chart.
Horizontally Wrapped Table:
The partition values are organized into a clean, horizontal table with a customizable number of columns per row (default is 20). When the number of values exceeds the maximum columns, the table automatically wraps onto a new set of rows for better readability.
Medium Text Size:
The table cells use a medium (normal) text size for easy viewing and clarity.
How to Use
Inputs:
Start Order (n): The starting index from which you want to display the partition function (default is 100).
End Order (n): The ending index up to which the partition function values will be displayed (default is 200).
Max Columns Per Row: Determines how many results are shown per row before wrapping to the next (default is 20).
Calculation:
The script calculates all 𝑝(𝑛) values from 0 up to the specified "End Order". It then extracts and displays only the values in the chosen range.
Visualization:
The computed values are shown in a neatly arranged table at the top right of your TradingView chart, making it simple to scroll through and inspect the partition function values.
Use Cases
Educational & Research:
Ideal for educators and students exploring concepts of integer partitions and number theory.
Data Analysis & Pattern Recognition:
Useful for those interested in the behavior and growth of partition numbers as 𝑛 increases.
Script de código aberto
Em verdadeiro espírito do TradingView, o criador deste script o tornou de código aberto, para que os traders possam revisar e verificar sua funcionalidade. Parabéns ao autor! Embora você possa usá-lo gratuitamente, lembre-se de que a republicação do código está sujeita às nossas Regras da Casa.
Aviso legal
As informações e publicações não se destinam a ser, e não constituem, conselhos ou recomendações financeiras, de investimento, comerciais ou de outro tipo fornecidos ou endossados pela TradingView. Leia mais nos Termos de Uso.
Script de código aberto
Em verdadeiro espírito do TradingView, o criador deste script o tornou de código aberto, para que os traders possam revisar e verificar sua funcionalidade. Parabéns ao autor! Embora você possa usá-lo gratuitamente, lembre-se de que a republicação do código está sujeita às nossas Regras da Casa.
Aviso legal
As informações e publicações não se destinam a ser, e não constituem, conselhos ou recomendações financeiras, de investimento, comerciais ou de outro tipo fornecidos ou endossados pela TradingView. Leia mais nos Termos de Uso.