hasAsymptoticExpansion
P90299
predicate
Indicates that one mathematical object serves as the asymptotic expansion approximating another object in a specified limit or regime.
All labels observed (3)
| Label | Occurrences |
|---|---|
| hasAsymptoticExpansion canonical | 2 |
| asymptoticExpansion | 1 |
| isAsymptoticExpansionOf | 1 |
Description generation (PDg)
The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.
Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning. # Instructions Focus on describing the relationship, not the entities themselves. # Response Format Begin the description with \' Indicates...\'
Input
Predicate: hasAsymptoticExpansion
Generated description
Indicates that one mathematical object serves as the asymptotic expansion approximating another object in a specified limit or regime.
Sample triples (4)
| Subject | Object |
|---|---|
| Riemann–Siegel theta function | (t/2) log(t/2π) − t/2 − π/8 + O(1/t) ⓘ |
| Stirling's approximation | ln Γ(z) via predicate surface "isAsymptoticExpansionOf" ⓘ |
| Barnes G-function | log G(z+1) expressed using Bernoulli numbers ⓘ |
| product logarithm | W(z) ~ ln z - ln ln z as |z| → ∞ via predicate surface "asymptoticExpansion" ⓘ |