Triple
T16284157
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Juliusz Schauder |
E395345
|
entity |
| Predicate | notableConcept |
P201
|
FINISHED |
| Object | Schauder estimates |
E1204468
|
NE FINISHED |
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: Schauder estimates | Statement: [Juliusz Schauder, notableConcept, Schauder estimates]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Schauder estimates Context triple: [Juliusz Schauder, notableConcept, Schauder estimates]
-
A.
Schauder estimates
chosen
Schauder estimates are fundamental results in the theory of partial differential equations that provide bounds on the Hölder norms of solutions in terms of the Hölder norms of the data, ensuring interior regularity and control of derivatives.
-
B.
Agmon–Douglis–Nirenberg estimates
Agmon–Douglis–Nirenberg estimates are fundamental a priori estimates in the theory of linear elliptic partial differential equations and systems, providing precise control of solution regularity in terms of data norms.
-
C.
Morawetz inequalities
Morawetz inequalities are fundamental energy and decay estimates in the study of partial differential equations, especially wave and dispersive equations, that provide control over the long-time behavior of solutions.
-
D.
Gagliardo–Nirenberg interpolation inequalities
The Gagliardo–Nirenberg interpolation inequalities are fundamental results in functional analysis and partial differential equations that bound intermediate norms of functions by combinations of lower and higher order norms, playing a key role in regularity theory and nonlinear analysis.
-
E.
Sobolev spaces
Sobolev spaces are function spaces that incorporate both functions and their weak derivatives, providing a fundamental framework for studying partial differential equations and variational problems.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (3 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_69d87f22c7248190a54c949738441e2e |
completed | April 10, 2026, 4:40 a.m. |
| NER | Named-entity recognition | batch_69e24912c5808190a0d9c9f491315068 |
completed | April 17, 2026, 2:52 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a001f93240881909d0beaddc92f0ad5 |
completed | May 10, 2026, 6:02 a.m. |
Created at: April 10, 2026, 5:05 a.m.