Triple

T13660537
Position Surface form Disambiguated ID Type / Status
Subject Picard–Vessiot theory E326982 entity
Predicate instanceOf P0 FINISHED
Object part of differential Galois theory C33333 CONCEPT FINISHED

How this triple was built (1 step)

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.

CD Concept disambiguation gpt-5-mini-2025-08-07
Target class: part of differential Galois theory
Context triple: [Picard–Vessiot theory, instanceOf, part of differential Galois theory]
  • A. Weyl algebra
    The Weyl algebra is the associative algebra generated by variables and their corresponding differential operators subject to canonical commutation relations, typically modeling the algebraic structure of quantum mechanical observables.
  • B. problem in invariant theory
    A problem in invariant theory concerns determining and characterizing the algebraic functions (invariants) that remain unchanged under the action of a given group on a vector space or algebraic variety.
  • C. object in invariant theory
    An object in invariant theory is a mathematical entity, such as a vector space, polynomial ring, or group action, whose structure and symmetries are studied through the functions or quantities that remain unchanged under a specified group of transformations.
  • D. equidimensional equation
    An equidimensional equation is a differential equation in which each term scales by the same factor under a power-law change of the independent variable, allowing it to be solved via a substitution that reduces it to one with constant coefficients.
  • E. classical invariant
    A classical invariant is a quantity or property associated with a mathematical object that remains unchanged under a specified group of classical transformations, such as rotations, translations, or linear changes of coordinates.
  • F. None of above. chosen

Provenance (1 batch)

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_69d8076d8270819092afc2f0e9c359a8 completed April 9, 2026, 8:09 p.m.
Created at: April 9, 2026, 9:52 p.m.