Triple

T6877398
Position Surface form Disambiguated ID Type / Status
Subject d’Alembert’s principle E158704 entity
Predicate consequence P374 FINISHED
Object leads to Lagrange’s equations of the first kind E155679 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: leads to Lagrange’s equations of the first kind | Statement: [d’Alembert’s principle, consequence, leads to Lagrange’s equations of the first kind]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: leads to Lagrange’s equations of the first kind
Context triple: [d’Alembert’s principle, consequence, leads to Lagrange’s equations of the first kind]
  • A. Euler–Lagrange equation
    The Euler–Lagrange equation is a fundamental differential equation in the calculus of variations that provides the condition for a function to make a functional stationary, forming the basis of Lagrangian mechanics and many physical theories.
  • B. Lagrange’s planetary equations
    Lagrange’s planetary equations are a set of differential equations in celestial mechanics that describe how the orbital elements of a body evolve over time under perturbing forces.
  • C. Lagrangian mechanics chosen
    Lagrangian mechanics is a reformulation of classical mechanics that uses energy-based principles and the calculus of variations to derive the equations of motion for physical systems.
  • D. Landau–Lifshitz equations
    The Landau–Lifshitz equations are fundamental differential equations in theoretical physics that describe the dynamics of magnetization in ferromagnets and, more broadly, the behavior of fields in relativistic and nonrelativistic continuum theories.
  • E. d’Alembert’s principle
    d’Alembert’s principle is a fundamental concept in classical mechanics that reformulates Newton’s laws to analyze the motion of systems by introducing inertial forces so they can be treated as if in static equilibrium.
  • 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_69c68832af1481908ce356e133ebaebe completed March 27, 2026, 1:37 p.m.
NER Named-entity recognition batch_69c6d8ccc29c8190904cb73c4cbb5dca completed March 27, 2026, 7:21 p.m.
NED1 Entity disambiguation (via context triple) batch_69c742c2b81881909bd13df0d6028cc6 completed March 28, 2026, 2:53 a.m.
Created at: March 27, 2026, 2:22 p.m.