Triple

T11739854
Position Surface form Disambiguated ID Type / Status
Subject Lambert series E279122 entity
Predicate relatedConcept P37 FINISHED
Object Lambert W function (distinct but historically related name) E279121 NE FINISHED

How this triple was built (2 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: Lambert W function (distinct but historically related name) | Statement: [Lambert series, relatedConcept, Lambert W function (distinct but historically related name)]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Lambert W function (distinct but historically related name)
Context triple: [Lambert series, relatedConcept, Lambert W function (distinct but historically related name)]
  • A. Lambert W function (later named in his honor) chosen
    The Lambert W function is a special multivalued function that solves equations where a variable appears both inside and outside an exponential, defined as the inverse of f(w) = w e^w and widely used in mathematics, physics, and engineering.
  • B. Mittag-Leffler function
    The Mittag-Leffler function is a complex function that generalizes the exponential function and plays a central role in fractional calculus and the theory of differential and integral equations.
  • C. Lambert series
    Lambert series are special infinite series in number theory and analysis, often involving arithmetic functions and powers of a variable, introduced by Johann Heinrich Lambert and used in the study of modular forms and q-series.
  • D. Lindemann–Weierstrass theorem precursor
    The Lindemann–Weierstrass theorem precursor is an early foundational result in transcendental number theory developed by Ferdinand von Lindemann that paved the way for the full Lindemann–Weierstrass theorem on the algebraic independence of exponentials of algebraic numbers.
  • E. Euler’s reflection formula
    Euler’s reflection formula is a fundamental identity in complex analysis that relates the values of the Gamma function at z and 1−z through the sine function, revealing a deep symmetry of the Gamma function.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 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_69d6aaffec6881908bead509e8621742 completed April 8, 2026, 7:22 p.m.
NER Named-entity recognition batch_69d8a4f025f88190a39280806c9d7c33 completed April 10, 2026, 7:21 a.m.
NED1 Entity disambiguation (via context triple) batch_69f019c339cc81909967ecfa234e4ab8 completed April 28, 2026, 2:21 a.m.
Created at: April 8, 2026, 9:41 p.m.