Draft:M-red Function
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Comment: In accordance with Wikipedia's Conflict of interest policy, I disclose that I have a conflict of interest regarding the subject of this article. M-red-real (talk) 19:31, 8 November 2025 (UTC)
The M-red Function (Maximum Real Expression Defined) is a mathematical function recognized for its extremely rapid growth. It has been discussed within the googology community and is studied in the context of fast-growing functions and large number theory.[1][2]
History
[edit]The M-red Function was developed in 2025 to explore extremely large numbers and functions that increase faster than traditional examples such as factorial or exponential functions.[2] Discussions and documentation about the function have appeared on Zenodo and the Googology Wiki.[1]
Definition and Properties
[edit]- The M-red Function is defined algorithmically with recursive and iterative components, which allow its values to increase at a rate that surpasses many traditional fast-growing functions.[3]
- It is often compared to the Busy Beaver function (BB) in terms of growth rate.[1]
- The function is primarily of theoretical interest, particularly in the study of large numbers and extreme-growth functions.[2]
Creator
[edit]The M-red Function was created by Mohammad Mahdi Manochehri in 2025.[4] Details about the development and algorithm have been documented in various sources.[3]
Applications and Significance
[edit]Although primarily of theoretical interest, the M-red Function provides a framework for comparing different classes of fast-growing functions and exploring the limits of computability.[2]
Growth Rate Comparison
[edit]| Function | Growth Type / Behavior |
|---|---|
| Factorial (n!) | Increases rapidly with n |
| Exponential (2^n) | Increases faster than polynomial functions |
| Busy Beaver (BB) | Non-computable, grows extremely fast |
| M-red Function | Algorithmically defined, fast-growing function discussed in googology |
References
[edit]Further reading
[edit]- ^ a b c d "M-Red function". Googology Wiki. Retrieved 2025-11-08.
- ^ a b c d e "The M-red Function". Zenodo. 2025. Retrieved 2025-11-08.
- ^ a b c "M-red Function repository". GitHub. Retrieved 2025-11-08.
- ^ a b "M-red official website". Personal Website. Retrieved 2025-11-08.
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