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: Yang Hui's triangle | Statement: [Pascal's triangle, knownAsInChina, Yang Hui's triangle]

Target entity: Yang Hui's triangle
Context triple: [Pascal's triangle, knownAsInChina, Yang Hui's triangle]

• A. Pascal's triangle chosen
  Pascal's triangle is a triangular array of numbers in which each entry is the sum of the two directly above it, widely used in combinatorics, algebra, and probability.
• B. Pascal's identity
  Pascal's identity is a fundamental combinatorial formula that relates adjacent binomial coefficients and underlies many proofs and properties of binomial expansions.
• C. binomial theorem
  The binomial theorem is a fundamental algebraic formula that provides a systematic way to expand powers of binomial expressions, playing a key role in combinatorics and mathematical analysis.
• D. Pythagorean theorem
  The Pythagorean theorem is a fundamental principle of geometry stating that in a right-angled triangle, the square of the hypotenuse equals the sum of the squares of the other two sides.
• E. 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.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: knownAsInChina
Context triple: [Pascal's triangle, knownAsInChina, Yang Hui's triangle]

• A. nameInChinese
  Indicates that an entity has a specific written name or label expressed in the Chinese language.
• B. knownAsInCanada
  Indicates that an entity is referred to or recognized by a particular name specifically within the context of Canada.
• C. regionallyKnownAs chosen
  Indicates that an entity is known by a particular name or designation within a specific geographic region.
• D. nameInKorean
  Indicates that an entity’s name is expressed in the Korean language.
• E. alsoKnownAs
  Indicates that one entity is an alternative name, alias, or designation for another entity.
• F. None of above.