Triple
T15977116
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Cauchy functional equation |
E387476
|
entity |
| Predicate | relatedTo |
P37
|
FINISHED |
| Object |
Jensen inequality
Jensen's inequality is a fundamental result in convex analysis and probability theory that bounds the value of a convex (or concave) function of an expectation by the expectation of the function.
|
E87727
|
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: Jensen inequality | Statement: [Cauchy functional equation, relatedTo, Jensen inequality]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Jensen inequality Context triple: [Cauchy functional equation, relatedTo, Jensen inequality]
-
A.
Seča
Seča is a small coastal settlement in southwestern Slovenia, situated near the town of Piran on the Adriatic Sea.
-
B.
Gejiu
Gejiu is a city in Yunnan Province, China, historically known as one of the country’s major tin-mining centers.
-
C.
Jesenwang
Jesenwang is a small municipality in Upper Bavaria, Germany, situated within the Fürstenfeldbruck district west of Munich.
-
D.
Sijilmasa
Sijilmasa was a medieval Moroccan oasis city that flourished as a key commercial hub linking North Africa with sub-Saharan gold and trade networks.
-
E.
Jiu
Jiu is the Yale romanization of the Cantonese pronunciation of the Chinese surname 趙.
- 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: Jensen inequality Triple: [Cauchy functional equation, relatedTo, Jensen inequality]
Generated description
Jensen's inequality is a fundamental result in convex analysis and probability theory that bounds the value of a convex (or concave) function of an expectation by the expectation of the function.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Jensen inequality Target entity description: Jensen's inequality is a fundamental result in convex analysis and probability theory that bounds the value of a convex (or concave) function of an expectation by the expectation of the function.
-
A.
Jensen inequality
chosen
Jensen's inequality is a fundamental result in convex analysis and probability theory that relates the value of a convex (or concave) function of an expectation to the expectation of the function, providing bounds that underlie many other inequalities and convergence results.
-
B.
Seča
Seča is a small coastal settlement in southwestern Slovenia, situated near the town of Piran on the Adriatic Sea.
-
C.
Gejiu
Gejiu is a city in Yunnan Province, China, historically known as one of the country’s major tin-mining centers.
-
D.
Jesenwang
Jesenwang is a small municipality in Upper Bavaria, Germany, situated within the Fürstenfeldbruck district west of Munich.
-
E.
Sijilmasa
Sijilmasa was a medieval Moroccan oasis city that flourished as a key commercial hub linking North Africa with sub-Saharan gold and trade networks.
- 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_69d86da94ccc819083d187f5dc6a123e |
completed | April 10, 2026, 3:25 a.m. |
| NER | Named-entity recognition | batch_69e157521f6c8190a54023b5ee6fc033 |
completed | April 16, 2026, 9:40 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69ffbe8e4124819084c2937f532f5ab5 |
completed | May 9, 2026, 11:09 p.m. |
| NEDg | Description generation | batch_69ffbf1948708190975024577e58a211 |
completed | May 9, 2026, 11:11 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69ffbf745f788190abae3ba723c3a564 |
completed | May 9, 2026, 11:12 p.m. |
Created at: April 10, 2026, 4:54 a.m.