fast-growing function
C27362
concept
A fast-growing function is a mathematical function whose values increase more rapidly than those of standard elementary functions (like polynomials or exponentials), often outpacing any fixed level of such growth rates.
All labels observed (3)
| Label | Occurrences |
|---|---|
| asymptotic growth theory | 1 |
| fast-growing function canonical | 1 |
| hierarchy of ordinal functions | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: fast-growing function
Generated description
A fast-growing function is a mathematical function whose values increase more rapidly than those of standard elementary functions (like polynomials or exponentials), often outpacing any fixed level of such growth rates.
Instances (3)
| Instance | Via concept surface |
|---|---|
| Ackermann function | — |
| Veblen hierarchy | hierarchy of ordinal functions |
| Du Bois-Reymond theory of orders of infinity | asymptotic growth theory |