Triple
T17020256
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Orlicz spaces |
E412928
|
entity |
| Predicate | hasNorm |
P22982
|
FINISHED |
| Object |
Orlicz norm
The Orlicz norm is a generalized functional-analytic norm defined via a Young function, used to measure the size of elements in Orlicz spaces and extend classical L^p norms.
|
E1247126
|
NE FINISHED |
How this triple was built (4 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: Orlicz norm | Statement: [Orlicz spaces, hasNorm, Orlicz norm]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Orlicz norm Context triple: [Orlicz spaces, hasNorm, Orlicz norm]
-
A.
Orlicz function
An Orlicz function is a convex, increasing function used in functional analysis to generalize the notion of growth conditions in defining Orlicz spaces, extending classical \(L^p\) space theory.
-
B.
Orlicz spaces
Orlicz spaces are a class of function spaces that generalize Lebesgue spaces by measuring integrability via convex Orlicz functions rather than fixed power exponents.
-
C.
Orlicz–Lorentz spaces
Orlicz–Lorentz spaces are a class of Banach function spaces that combine the growth conditions of Orlicz spaces with the rearrangement-invariant structure of Lorentz spaces, used to generalize and refine classical Lebesgue space theory.
-
D.
Grand Lebesgue spaces
Grand Lebesgue spaces are a class of function spaces that generalize classical Lebesgue and Orlicz spaces by controlling integrability through variable exponents or parameter ranges, making them useful in fine-scale analysis of functions and operators.
-
E.
Gowers–Maurey space
The Gowers–Maurey space is a specially constructed Banach space that provided a counterexample to the unconditional basic sequence problem, showing that there exist Banach spaces with no unconditional basic sequences.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg
Description generation
gpt-5.1
Instruction
Generate a one-sentence description of the target entity. You are given a context triple in the form (subject, predicate, object), where the object is the target entity. # Instructions Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. Avoid repeating the information from the triple, unless really essential. # Response Format Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Orlicz norm Triple: [Orlicz spaces, hasNorm, Orlicz norm]
Generated description
The Orlicz norm is a generalized functional-analytic norm defined via a Young function, used to measure the size of elements in Orlicz spaces and extend classical L^p norms.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Orlicz norm Target entity description: The Orlicz norm is a generalized functional-analytic norm defined via a Young function, used to measure the size of elements in Orlicz spaces and extend classical L^p norms.
-
A.
Orlicz function
chosen
An Orlicz function is a convex, increasing function used in functional analysis to generalize the notion of growth conditions in defining Orlicz spaces, extending classical \(L^p\) space theory.
-
B.
Orlicz spaces
Orlicz spaces are a class of function spaces that generalize Lebesgue spaces by measuring integrability via convex Orlicz functions rather than fixed power exponents.
-
C.
Orlicz–Lorentz spaces
Orlicz–Lorentz spaces are a class of Banach function spaces that combine the growth conditions of Orlicz spaces with the rearrangement-invariant structure of Lorentz spaces, used to generalize and refine classical Lebesgue space theory.
-
D.
Grand Lebesgue spaces
Grand Lebesgue spaces are a class of function spaces that generalize classical Lebesgue and Orlicz spaces by controlling integrability through variable exponents or parameter ranges, making them useful in fine-scale analysis of functions and operators.
-
E.
Gowers–Maurey space
The Gowers–Maurey space is a specially constructed Banach space that provided a counterexample to the unconditional basic sequence problem, showing that there exist Banach spaces with no unconditional basic sequences.
- F. None of above.
Provenance (5 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_69d886cc4170819093deddc7b8b4b6a7 |
completed | April 10, 2026, 5:12 a.m. |
| NER | Named-entity recognition | batch_69e3d482c3a0819099e6ea4acb0a08ee |
completed | April 18, 2026, 6:59 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a012ed0b78481909a11c1529db6c1cd |
completed | May 11, 2026, 1:20 a.m. |
| NEDg | Description generation | batch_6a012f9339d88190a8976240f5b2a8d8 |
completed | May 11, 2026, 1:23 a.m. |
| NED2 | Entity disambiguation (via description) | batch_6a01301a4fbc8190bbd5b5b9bad814d3 |
completed | May 11, 2026, 1:25 a.m. |
Created at: April 10, 2026, 5:33 a.m.