Triple
T4927360
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Weierstrass substitution |
E110609
|
entity |
| Predicate | alsoKnownAs |
P39
|
FINISHED |
| Object |
tangent half-angle substitution
Tangent half-angle substitution is a trigonometric technique that converts integrals involving sine and cosine into rational functions by substituting in terms of the tangent of half the angle.
|
E480875
|
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: tangent half-angle substitution | Statement: [Weierstrass substitution, alsoKnownAs, tangent half-angle substitution]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: tangent half-angle substitution Context triple: [Weierstrass substitution, alsoKnownAs, tangent half-angle substitution]
-
A.
Radau
Radau is a river in Lower Saxony, Germany, known as a tributary of the Oker and for flowing through the Harz region.
-
B.
Seča
Seča is a small coastal settlement in southwestern Slovenia, situated near the town of Piran on the Adriatic Sea.
-
C.
Tangen
Tangen is a former settlement in Norway that was incorporated into the city of Drammen through a municipal merger.
-
D.
Tangtse
Tangtse is a village in the Leh district of Ladakh, India, situated along key routes between the Indus Valley and the Pangong Tso region in the Himalayas.
-
E.
Trizina
Trizina is a modern Greek settlement located near the ancient city of Troezen in the northeastern Peloponnese.
- 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: tangent half-angle substitution Triple: [Weierstrass substitution, alsoKnownAs, tangent half-angle substitution]
Generated description
Tangent half-angle substitution is a trigonometric technique that converts integrals involving sine and cosine into rational functions by substituting in terms of the tangent of half the angle.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: tangent half-angle substitution Target entity description: Tangent half-angle substitution is a trigonometric technique that converts integrals involving sine and cosine into rational functions by substituting in terms of the tangent of half the angle.
-
A.
Radau
Radau is a river in Lower Saxony, Germany, known as a tributary of the Oker and for flowing through the Harz region.
-
B.
Seča
Seča is a small coastal settlement in southwestern Slovenia, situated near the town of Piran on the Adriatic Sea.
-
C.
Tangen
Tangen is a former settlement in Norway that was incorporated into the city of Drammen through a municipal merger.
-
D.
Tangtse
Tangtse is a village in the Leh district of Ladakh, India, situated along key routes between the Indus Valley and the Pangong Tso region in the Himalayas.
-
E.
Trizina
Trizina is a modern Greek settlement located near the ancient city of Troezen in the northeastern Peloponnese.
- F. None of above. chosen
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_69bd4415190c8190817bee7ec9f9f944 |
completed | March 20, 2026, 12:56 p.m. |
| NER | Named-entity recognition | batch_69bd7036d8e88190bc4be2975160da23 |
completed | March 20, 2026, 4:05 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69be77ac88148190a51fa2e9085d6897 |
completed | March 21, 2026, 10:49 a.m. |
| NEDg | Description generation | batch_69be7847a378819081687ec783a8b862 |
completed | March 21, 2026, 10:51 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69be7915a26c81909b21a128daebf5b3 |
completed | March 21, 2026, 10:55 a.m. |
Created at: March 20, 2026, 1:30 p.m.