Triple

T8399576
Position Surface form Disambiguated ID Type / Status
Subject Fresnel integrals E198136 entity
Predicate relatedTo P37 FINISHED
Object Gaussian integrals E29365 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: Gaussian integrals | Statement: [Fresnel integrals, relatedTo, Gaussian integrals]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Gaussian integrals
Context triple: [Fresnel integrals, relatedTo, Gaussian integrals]
  • A. Gaussian integral chosen
    The Gaussian integral is a fundamental result in mathematics that evaluates the integral of the exponential of a negative quadratic function over the entire real line, yielding a value proportional to the square root of π and underpinning the normal distribution in probability theory.
  • B. Fresnel integrals
    Fresnel integrals are special functions in mathematics that describe the complex oscillatory behavior of wave diffraction and interference, particularly in optics.
  • C. Gaussian
    Gaussian is a widely used computational chemistry software package that performs electronic structure calculations, including density functional theory, for molecules and materials.
  • D. Gauss hypergeometric function
    The Gauss hypergeometric function is a special function defined by a power series that generalizes many elementary and higher transcendental functions and plays a central role in mathematical analysis, differential equations, and mathematical physics.
  • E. Gaussian distribution
    The Gaussian distribution, also known as the normal distribution, is a fundamental continuous probability distribution characterized by its symmetric bell-shaped curve and central role in statistics and the natural sciences.
  • 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_69ca82f816bc8190ab321c07d72208c1 completed March 30, 2026, 2:04 p.m.
NER Named-entity recognition batch_69cb824bfcbc8190b26bfcb5f8c4777c completed March 31, 2026, 8:14 a.m.
NED1 Entity disambiguation (via context triple) batch_69cde86f6e148190812a8a9737310501 completed April 2, 2026, 3:54 a.m.
Created at: March 30, 2026, 6:04 p.m.