Triple

T17020088
Position Surface form Disambiguated ID Type / Status
Subject Karamata's inequality E412925 entity
Predicate instanceOf P0 FINISHED
Object result in majorization theory C15240 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: result in majorization theory
Context triple: [Karamata's inequality, instanceOf, result in majorization theory]
  • A. result in convex analysis chosen
    In convex analysis, a result is a formally stated and proven fact—such as a theorem, lemma, or proposition—that characterizes properties or relationships of convex sets, convex functions, or related optimization structures.
  • B. result in order theory
    A result in order theory is a formally proven statement or theorem about the properties, structures, or relationships of ordered sets and order-preserving mappings.
  • C. duality theory
    Duality theory is a conceptual framework in mathematics and related fields that studies pairs of structures or problems that are interrelated in such a way that results and properties in one can be systematically translated into corresponding results and properties in the other.
  • D. result in lattice theory
    A result in lattice theory is a proven theorem or proposition that describes structural, order-theoretic, or algebraic properties of lattices and their related constructs.
  • E. theory of polynomial sequences
    A theory of polynomial sequences studies families of polynomials indexed by integers (or other discrete parameters), analyzing their algebraic, combinatorial, and analytic properties and the relations between successive terms.
  • 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_69d886cc4170819093deddc7b8b4b6a7 completed April 10, 2026, 5:12 a.m.
Created at: April 10, 2026, 5:33 a.m.