criterion for convergence
C26950
concept
A criterion for convergence is a specific test or condition used to determine whether a given sequence or series approaches a finite limit as its index or number of terms increases.
All labels observed (5)
| Label | Occurrences |
|---|---|
| condition for central limit theorem | 1 |
| criterion for Fourier series convergence | 1 |
| criterion for convergence canonical | 1 |
| criterion for pointwise convergence | 1 |
| pseudorandomness criterion | 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: criterion for convergence
Generated description
A criterion for convergence is a specific test or condition used to determine whether a given sequence or series approaches a finite limit as its index or number of terms increases.
Instances (5)
| Instance | Via concept surface |
|---|---|
| Cauchy convergence criterion | — |
| Dirichlet conditions | criterion for Fourier series convergence |
| Yao’s next-bit test | pseudorandomness criterion |
| Lyapunov condition | condition for central limit theorem |
| Dini test for convergence of Fourier series | criterion for pointwise convergence |