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.