Triple
T21783458
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Fefferman–Phong inequality |
E537775
|
entity |
| Predicate | typicalDomain |
P24492
|
FINISHED |
| Object | Euclidean space R^n |
—
|
NE NERFINISHED |
How this triple was built (2 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: Euclidean space R^n | Statement: [Fefferman–Phong inequality, typicalDomain, Euclidean space R^n]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Euclidean space R^n Context triple: [Fefferman–Phong inequality, typicalDomain, Euclidean space R^n]
-
A.
Euclidean space
chosen
Euclidean space is the standard flat, n-dimensional geometric setting of classical geometry and vector calculus, characterized by straight lines, right angles, and the usual distance and dot product.
-
B.
n-Space
n-Space was an American video game development studio known for creating handheld and console titles across various popular franchises before closing in 2016.
-
C.
Euclidean metric
The Euclidean metric is the standard distance function on Euclidean space, defined by the square root of the sum of squared coordinate differences between two points.
-
D.
O(n) ⋉ R^n
O(n) ⋉ R^n is the Euclidean group in n dimensions, consisting of all distance-preserving transformations formed by combining orthogonal rotations/reflections with translations in R^n.
-
E.
Farbraumkörper
Farbraumkörper is a series of abstract, three-dimensional color-saturated cushion paintings by German artist Gotthard Graubner that explore color as a spatial and atmospheric experience.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (2 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_69e0c47198f881908cb0d237266c10e9 |
completed | April 16, 2026, 11:13 a.m. |
| NER | Named-entity recognition | batch_69f0462ed0ec81908833e18c164e8b5c |
completed | April 28, 2026, 5:31 a.m. |
Created at: April 16, 2026, 6:52 p.m.