integral
C11423
concept
An integral is a fundamental mathematical concept that represents the accumulation of quantities, often interpreted as the area under a curve or the total of continuously varying values.
All labels observed (8)
| Label | Occurrences |
|---|---|
| integral canonical | 3 |
| integration technique | 3 |
| mathematical integral | 3 |
| fractional integral | 2 |
| stochastic integral | 2 |
| generalized Riemann integral | 1 |
| multidimensional integral | 1 |
| multivariate basic hypergeometric integral | 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: integral
Generated description
An integral is a fundamental mathematical concept that represents the accumulation of quantities, often interpreted as the area under a curve or the total of continuously varying values.
Instances (14)
| Instance | Via concept surface |
|---|---|
| Weierstrass substitution | integration technique |
| Selberg integral | mathematical integral |
| Riemann–Stieltjes integral | — |
| Henstock–Kurzweil integral | mathematical integral |
| Weyl fractional integral | fractional integral |
| Hadamard fractional integral | fractional integral |
| Stratonovich integral | stochastic integral |
| Itô integral | stochastic integral |
| Riemann integral | — |
| tangent half-angle substitution | integration technique |
| Euler substitution | integration technique |
| Bochner integral | — |
| Dyson integral | mathematical integral |
| q-Selberg integral | multivariate basic hypergeometric integral |