Triple

T11739768
Position Surface form Disambiguated ID Type / Status
Subject Lambert W function E279121 entity
Predicate alsoKnownAs P39 FINISHED
Object product logarithm
The product logarithm is a special function, commonly denoted as the Lambert W function, that serves as the inverse of f(w) = w e^w and is widely used in solving equations involving exponentials and products.
 E944313 NE FINISHED

How this triple was built (4 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: product logarithm | Statement: [Lambert W function, alsoKnownAs, product logarithm]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: product logarithm
Context triple: [Lambert W function, alsoKnownAs, product logarithm]
  • A. Plug One
    Plug One is the stage name of Posdnuos, a founding member and primary lyricist of the influential hip hop group De La Soul.
  • B. The Product G&B
    The Product G&B is an R&B and hip hop duo best known for their collaboration with Wyclef Jean and their appearance on the hit single "Maria Maria" by Santana.
  • C. Symbolyc One
    Symbolyc One is an American hip-hop record producer best known for his work with artists like Kanye West, Jay-Z, and Beyoncé.
  • D. Preki
    Preki is a former Yugoslav-American professional soccer player and coach best known for his standout MLS career and successful transition into coaching.
  • E. Precisely
    Precisely is a data integrity and location intelligence company known for providing software and services that help organizations ensure accurate, consistent, and contextualized data for analytics and decision-making.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: product logarithm
Triple: [Lambert W function, alsoKnownAs, product logarithm]
Generated description
The product logarithm is a special function, commonly denoted as the Lambert W function, that serves as the inverse of f(w) = w e^w and is widely used in solving equations involving exponentials and products.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: product logarithm
Target entity description: The product logarithm is a special function, commonly denoted as the Lambert W function, that serves as the inverse of f(w) = w e^w and is widely used in solving equations involving exponentials and products.
  • A. Plug One
    Plug One is the stage name of Posdnuos, a founding member and primary lyricist of the influential hip hop group De La Soul.
  • B. The Product G&B
    The Product G&B is an R&B and hip hop duo best known for their collaboration with Wyclef Jean and their appearance on the hit single "Maria Maria" by Santana.
  • C. Symbolyc One
    Symbolyc One is an American hip-hop record producer best known for his work with artists like Kanye West, Jay-Z, and Beyoncé.
  • D. Preki
    Preki is a former Yugoslav-American professional soccer player and coach best known for his standout MLS career and successful transition into coaching.
  • E. Precisely
    Precisely is a data integrity and location intelligence company known for providing software and services that help organizations ensure accurate, consistent, and contextualized data for analytics and decision-making.
  • F. None of above. chosen

Provenance (5 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.
NEDg Description generation batch_69f01d7ab930819095eaae226ab55b80 completed April 28, 2026, 2:37 a.m.
NED2 Entity disambiguation (via description) batch_69f043ddbfe481908e0c439dbd3e944f completed April 28, 2026, 5:21 a.m.
Created at: April 8, 2026, 9:41 p.m.