Triple

T23801657
Position Surface form Disambiguated ID Type / Status
Subject Gagliardo–Nirenberg interpolation inequalities E588689 entity
Predicate instanceOf P0 FINISHED
Object tool in partial differential equations C42144 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: tool in partial differential equations
Context triple: [Gagliardo–Nirenberg interpolation inequalities, instanceOf, tool in partial differential equations]
  • A. partial differential equation
    A partial differential equation is an equation that relates the partial derivatives of an unknown multivariable function, describing how it changes with respect to several independent variables.
  • B. result in partial differential equations
    A result in partial differential equations is a proven statement or theorem that characterizes the existence, uniqueness, regularity, behavior, or qualitative properties of solutions to equations involving multivariable derivatives.
  • C. tool in geometric analysis
    A tool in geometric analysis is a mathematical method, concept, or construction used to study and characterize the geometric and analytic properties of spaces, shapes, and mappings.
  • D. result in mathematical physics
    A result in mathematical physics is a rigorously proven statement that connects precise mathematical structures with physical theories, often clarifying, justifying, or predicting phenomena within a formal framework.
  • E. tool in approximation theory chosen
    A tool in approximation theory is a mathematical method, theorem, or construct used to analyze, measure, or improve how well functions or data can be approximated by simpler or more tractable representations.
  • F. None of above.

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_69e25d15db58819092ac1e6791696fd9 completed April 17, 2026, 4:17 p.m.
Created at: April 17, 2026, 7:53 p.m.