Triple

T1490708
Position Surface form Disambiguated ID Type / Status
Subject Computer Graphics: Principles and Practice E29570 entity
Predicate covers P1393 FINISHED
Object B-splines
B-splines are piecewise polynomial functions widely used in computer graphics and numerical analysis to create smooth, flexible curves and surfaces controlled by a set of control points.
E171244 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: B-splines | Statement: [Computer Graphics: Principles and Practice, covers, B-splines]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: B-splines
Context triple: [Computer Graphics: Principles and Practice, covers, B-splines]
  • A. Bezier curves
    Bézier curves are mathematically defined parametric curves widely used in computer graphics and digital design to model smooth, scalable shapes and paths.
  • B. Carathéodory–Fejér interpolation
    Carathéodory–Fejér interpolation is a classical result in complex analysis and approximation theory that concerns constructing analytic functions, typically with bounded or positive real part, that match prescribed initial Taylor coefficients.
  • C. Bernoulli numbers
    Bernoulli numbers are a sequence of rational numbers that play a central role in number theory and analysis, especially in formulas for sums of powers of integers and in the study of special functions like the Riemann zeta function.
  • D. Lagrange interpolation polynomial
    The Lagrange interpolation polynomial is a classical formula in numerical analysis that constructs a unique polynomial passing through a given set of data points, widely used for interpolation and approximation.
  • E. BSP
    BSP is the Bangko Sentral ng Pilipinas, the central bank of the Philippines responsible for monetary policy, financial stability, and currency issuance.
  • 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: B-splines
Triple: [Computer Graphics: Principles and Practice, covers, B-splines]
Generated description
B-splines are piecewise polynomial functions widely used in computer graphics and numerical analysis to create smooth, flexible curves and surfaces controlled by a set of control points.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: B-splines
Target entity description: B-splines are piecewise polynomial functions widely used in computer graphics and numerical analysis to create smooth, flexible curves and surfaces controlled by a set of control points.
  • A. Bezier curves
    Bézier curves are mathematically defined parametric curves widely used in computer graphics and digital design to model smooth, scalable shapes and paths.
  • B. Carathéodory–Fejér interpolation
    Carathéodory–Fejér interpolation is a classical result in complex analysis and approximation theory that concerns constructing analytic functions, typically with bounded or positive real part, that match prescribed initial Taylor coefficients.
  • C. Bernoulli numbers
    Bernoulli numbers are a sequence of rational numbers that play a central role in number theory and analysis, especially in formulas for sums of powers of integers and in the study of special functions like the Riemann zeta function.
  • D. Lagrange interpolation polynomial
    The Lagrange interpolation polynomial is a classical formula in numerical analysis that constructs a unique polynomial passing through a given set of data points, widely used for interpolation and approximation.
  • E. BSP
    BSP is the Bangko Sentral ng Pilipinas, the central bank of the Philippines responsible for monetary policy, financial stability, and currency issuance.
  • 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_69a498da82e08190ba833330d05f380f completed March 1, 2026, 7:51 p.m.
NER Named-entity recognition batch_69a4c6c233ec819087e1233af02aabfc completed March 1, 2026, 11:07 p.m.
NED1 Entity disambiguation (via context triple) batch_69ad1ca98e64819097916eb7717e6364 completed March 8, 2026, 6:52 a.m.
NEDg Description generation batch_69ad1d34656481909949b4bfd83c6142 completed March 8, 2026, 6:54 a.m.
NED2 Entity disambiguation (via description) batch_69ad1dd7b34c8190b6957be2112506dd completed March 8, 2026, 6:57 a.m.
Created at: March 1, 2026, 8:12 p.m.