Triple
T5099259
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Book I (Principia) |
E114941
|
entity |
| Predicate | focusesOn |
P31
|
FINISHED |
| Object |
mathematical foundations of mechanics
The mathematical foundations of mechanics comprise the rigorous principles and equations, rooted in calculus and Newtonian laws, that describe and predict the motion and interaction of physical bodies.
|
E494906
|
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: mathematical foundations of mechanics | Statement: [Book I (Principia), focusesOn, mathematical foundations of mechanics]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: mathematical foundations of mechanics Context triple: [Book I (Principia), focusesOn, mathematical foundations of mechanics]
-
A.
Lagrangian mechanics
Lagrangian mechanics is a reformulation of classical mechanics that uses energy-based principles and the calculus of variations to derive the equations of motion for physical systems.
-
B.
Hamiltonian mechanics
Hamiltonian mechanics is a reformulation of classical mechanics that describes physical systems in terms of generalized coordinates and conjugate momenta using a Hamiltonian function, providing a powerful framework for both classical and quantum physics.
-
C.
Structure and Interpretation of Classical Mechanics
Structure and Interpretation of Classical Mechanics is a textbook that applies the conceptual and pedagogical style of SICP to advanced classical mechanics, emphasizing computational models and deep understanding of physical principles.
-
D.
Foundations of Solid Mechanics
Foundations of Solid Mechanics is a seminal textbook by biomechanical engineer Yuan-Cheng Fung that rigorously develops the theoretical principles governing the mechanical behavior of solid materials.
-
E.
Mathematical Foundations of Statistical Mechanics
Mathematical Foundations of Statistical Mechanics is a classic monograph by Aleksandr Khinchin that rigorously develops the probabilistic and measure-theoretic underpinnings of statistical mechanics.
- 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: mathematical foundations of mechanics Triple: [Book I (Principia), focusesOn, mathematical foundations of mechanics]
Generated description
The mathematical foundations of mechanics comprise the rigorous principles and equations, rooted in calculus and Newtonian laws, that describe and predict the motion and interaction of physical bodies.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: mathematical foundations of mechanics Target entity description: The mathematical foundations of mechanics comprise the rigorous principles and equations, rooted in calculus and Newtonian laws, that describe and predict the motion and interaction of physical bodies.
-
A.
Lagrangian mechanics
Lagrangian mechanics is a reformulation of classical mechanics that uses energy-based principles and the calculus of variations to derive the equations of motion for physical systems.
-
B.
Hamiltonian mechanics
Hamiltonian mechanics is a reformulation of classical mechanics that describes physical systems in terms of generalized coordinates and conjugate momenta using a Hamiltonian function, providing a powerful framework for both classical and quantum physics.
-
C.
Structure and Interpretation of Classical Mechanics
Structure and Interpretation of Classical Mechanics is a textbook that applies the conceptual and pedagogical style of SICP to advanced classical mechanics, emphasizing computational models and deep understanding of physical principles.
-
D.
Foundations of Solid Mechanics
Foundations of Solid Mechanics is a seminal textbook by biomechanical engineer Yuan-Cheng Fung that rigorously develops the theoretical principles governing the mechanical behavior of solid materials.
-
E.
Mathematical Foundations of Statistical Mechanics
Mathematical Foundations of Statistical Mechanics is a classic monograph by Aleksandr Khinchin that rigorously develops the probabilistic and measure-theoretic underpinnings of statistical mechanics.
- 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_69bd443fc49c819089629c00e311310c |
completed | March 20, 2026, 12:57 p.m. |
| NER | Named-entity recognition | batch_69bd7568e9c881909f114973faef6832 |
completed | March 20, 2026, 4:27 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69beba8977f481908b0d55a9cd28d492 |
completed | March 21, 2026, 3:34 p.m. |
| NEDg | Description generation | batch_69bebe4e61008190aa297a4b41e93cb3 |
completed | March 21, 2026, 3:50 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69bebf801fa481909e885bb0d13f48b5 |
completed | March 21, 2026, 3:55 p.m. |
Created at: March 20, 2026, 1:40 p.m.