pathological function in analysis
C41346
concept
A pathological function in analysis is a deliberately constructed example that defies typical intuitions—often satisfying formal definitions while exhibiting extreme or counterintuitive behavior, such as being continuous everywhere but differentiable nowhere.
All labels observed (1)
| Label | Occurrences |
|---|---|
| pathological function in analysis canonical | 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: pathological function in analysis
Generated description
A pathological function in analysis is a deliberately constructed example that defies typical intuitions—often satisfying formal definitions while exhibiting extreme or counterintuitive behavior, such as being continuous everywhere but differentiable nowhere.
Instances (1)
| Instance | Via concept surface |
|---|---|
| Du Bois-Reymond function | — |