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: Ulam’s stability problem | Statement: [Scottish Book, notableProblem, Ulam’s stability problem]

Target entity: Ulam’s stability problem
Context triple: [Scottish Book, notableProblem, Ulam’s stability problem]

• A. Ulam stability chosen
  Ulam stability is a concept in the theory of functional equations that studies when approximate solutions imply the existence of exact solutions nearby, forming the basis of what is now called Hyers–Ulam stability.
• B. Jensen functional equation
  The Jensen functional equation is a generalization in functional analysis that characterizes Jensen-convex functions and underlies Jensen’s inequality in convexity theory.
• C. Hadamard’s example of ill-posed problems
  Hadamard’s example of ill-posed problems is a classical mathematical construction illustrating how small changes in input data can cause large, unstable changes in solutions, thereby violating the standard criteria for well-posedness in analysis and partial differential equations.
• D. Ulam problem in set theory
  The Ulam problem in set theory is a well-known question posed by Stanislaw Ulam concerning the structure and properties of measurable sets and functions, particularly in relation to homomorphisms and measure-theoretic regularity.
• E. Theory of Linear Operations
  Theory of Linear Operations is a foundational 1932 monograph by Stefan Banach that systematically developed functional analysis and the theory of Banach spaces.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.