Triple

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).

Phrase: Poincaré map | Statement: [Henri Poincaré, notableWork, Poincaré map]

Target entity: Poincaré map
Context triple: [Henri Poincaré, notableWork, Poincaré map]

• A. Gauss map
  The Gauss map is a differential geometry concept that assigns to each point on a surface the corresponding point on the unit sphere determined by the surface’s normal vector at that point.
• B. Mapam
  Mapam was a left-wing socialist Zionist political party in Israel that played a significant role in the early decades of the state, particularly within the kibbutz movement and peace-oriented politics.
• C. Ulam spiral
  The Ulam spiral is a graphical arrangement of the positive integers in a spiral pattern that reveals striking diagonal alignments of prime numbers, suggesting unexpected structure in their distribution.
• D. Carathéodory–Jacobi–Lie theorem
  The Carathéodory–Jacobi–Lie theorem is a fundamental result in symplectic geometry and Hamiltonian mechanics that provides canonical local coordinates adapted to a given set of commuting functions.
• E. #MAPA
  #MAPA is a hashtag used within the Fridays for Future movement to highlight and organize climate activism by communities in the Most Affected People and Areas.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

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]"

Entity: Poincaré map
Triple: [Henri Poincaré, notableWork, Poincaré map]

The Poincaré map is a mathematical tool in dynamical systems theory that reduces continuous-time dynamics to a discrete map by tracking intersections of trajectories with a lower-dimensional surface.

Target entity: Poincaré map
Target entity description: The Poincaré map is a mathematical tool in dynamical systems theory that reduces continuous-time dynamics to a discrete map by tracking intersections of trajectories with a lower-dimensional surface.

• A. Gauss map
  The Gauss map is a differential geometry concept that assigns to each point on a surface the corresponding point on the unit sphere determined by the surface’s normal vector at that point.
• B. Mapam
  Mapam was a left-wing socialist Zionist political party in Israel that played a significant role in the early decades of the state, particularly within the kibbutz movement and peace-oriented politics.
• C. Ulam spiral
  The Ulam spiral is a graphical arrangement of the positive integers in a spiral pattern that reveals striking diagonal alignments of prime numbers, suggesting unexpected structure in their distribution.
• D. Carathéodory–Jacobi–Lie theorem
  The Carathéodory–Jacobi–Lie theorem is a fundamental result in symplectic geometry and Hamiltonian mechanics that provides canonical local coordinates adapted to a given set of commuting functions.
• E. #MAPA
  #MAPA is a hashtag used within the Fridays for Future movement to highlight and organize climate activism by communities in the Most Affected People and Areas.
• F. None of above. chosen