Triple

T29464830
Position Surface form Disambiguated ID Type / Status
Subject Riesz projection E747348 entity
Predicate instanceOf P0 FINISHED
Object projection operator C36563 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: projection operator
Context triple: [Riesz projection, instanceOf, projection operator]
  • A. projection matrix
    A projection matrix is a square matrix that maps vectors onto a subspace such that applying it twice has the same effect as applying it once (i.e., it is idempotent).
  • B. geometric operator
    A geometric operator is a mathematical construct that acts on geometric objects (such as points, vectors, or shapes) to transform, relate, or measure them while respecting the underlying geometric structure.
  • C. Hilbert space operator chosen
    A Hilbert space operator is a linear transformation defined on a (subspace of a) Hilbert space that maps vectors to vectors in a way compatible with the space’s inner product structure, often studied via its continuity, boundedness, and spectral properties.
  • D. cylindrical projection
    A cylindrical projection is a method of mapping the Earth's curved surface onto a cylinder that is then unrolled into a flat map, preserving some spatial properties (such as direction or area) at the expense of others.
  • E. compact operator
    A compact operator is a linear operator between normed spaces that maps bounded sets to relatively compact sets, meaning the image of any bounded sequence has a convergent subsequence.
  • 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_69f0bd4125f88190b56104591351619c completed April 28, 2026, 1:59 p.m.
Created at: April 28, 2026, 3:52 p.m.