Triple
T18929573
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Du Bois-Reymond theory of orders of infinity |
E463064
|
entity |
| Predicate | relatedTo |
P37
|
FINISHED |
| Object | Little-o notation |
—
|
NE NERFINISHED |
How this triple was built (3 steps)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Little-o notation | Statement: [Du Bois-Reymond theory of orders of infinity, relatedTo, Little-o notation]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Little-o notation Context triple: [Du Bois-Reymond theory of orders of infinity, relatedTo, Little-o notation]
-
A.
Big-O notation
Big-O notation is a mathematical tool used in computer science to describe how the running time or space requirements of an algorithm grow relative to the size of its input.
-
B.
Stirling's approximation
Stirling's approximation is a classical formula in mathematics that provides an efficient asymptotic estimate for factorials and the gamma function, especially for large arguments.
-
C.
Knuth’s up-arrow notation
Knuth’s up-arrow notation is a mathematical notation introduced by Donald Knuth to concisely represent very large integers using iterated exponentiation and its higher-order generalizations.
-
D.
Bennett inequality
Bennett inequality is a probabilistic bound that provides exponential tail estimates for sums of independent random variables, refining classical concentration inequalities like Bernstein’s.
-
E.
Littlewood’s three principles of real analysis
Littlewood’s three principles of real analysis are a set of heuristic guidelines that clarify how measurable sets and functions can be approximated and simplified, emphasizing that they are nearly finite, nearly countable, and nearly continuous.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Little-o notation Target entity description: Little-o notation is a mathematical notation used in analysis and asymptotic theory to describe functions that grow strictly slower than a given reference function as the input approaches a limit.
-
A.
Big-O notation
Big-O notation is a mathematical tool used in computer science to describe how the running time or space requirements of an algorithm grow relative to the size of its input.
-
B.
Stirling's approximation
Stirling's approximation is a classical formula in mathematics that provides an efficient asymptotic estimate for factorials and the gamma function, especially for large arguments.
-
C.
Knuth’s up-arrow notation
Knuth’s up-arrow notation is a mathematical notation introduced by Donald Knuth to concisely represent very large integers using iterated exponentiation and its higher-order generalizations.
-
D.
Bennett inequality
Bennett inequality is a probabilistic bound that provides exponential tail estimates for sums of independent random variables, refining classical concentration inequalities like Bernstein’s.
-
E.
Littlewood’s three principles of real analysis
Littlewood’s three principles of real analysis are a set of heuristic guidelines that clarify how measurable sets and functions can be approximated and simplified, emphasizing that they are nearly finite, nearly countable, and nearly continuous.
- F. None of above. chosen
Provenance (2 batches)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69d8dcfdbbb881909964fa5a75bd0b48 |
completed | April 10, 2026, 11:20 a.m. |
| NER | Named-entity recognition | batch_69e5c9bea84081908fbe657fb4657c0b |
completed | April 20, 2026, 6:37 a.m. |
Created at: April 10, 2026, 11:59 a.m.