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: Landau notation | Statement: [Edmund Landau, knownFor, Landau notation]

Target entity: Landau notation
Context triple: [Edmund Landau, knownFor, Landau notation]

• A. Little-o notation
  Little-o notation is a mathematical notation used in analysis and asymptotic theory to describe functions that grow strictly slower than a given reference function as the input approaches a limit.
• B. Big-O notation
  Big-O notation is a mathematical tool used in computer science to describe how the running time or space requirements of an algorithm grow relative to the size of its input.
• C. Stirling's approximation
  Stirling's approximation is a classical formula in mathematics that provides an efficient asymptotic estimate for factorials and the gamma function, especially for large arguments.
• D. Knuth’s up-arrow notation
  Knuth’s up-arrow notation is a mathematical notation introduced by Donald Knuth to concisely represent very large integers using iterated exponentiation and its higher-order generalizations.
• E. von Mangoldt function Λ(n)
  The von Mangoldt function Λ(n) is an arithmetic function in number theory that encodes the distribution of prime powers by assigning log p to integers n that are powers of a prime p and 0 otherwise.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Landau notation
Target entity description: Landau notation is a mathematical notation, introduced by Edmund Landau, used to describe the asymptotic growth rates of functions, especially in analysis and computational complexity (e.g., Big O notation).

• A. Little-o notation
  Little-o notation is a mathematical notation used in analysis and asymptotic theory to describe functions that grow strictly slower than a given reference function as the input approaches a limit.
• B. Big-O notation chosen
  Big-O notation is a mathematical tool used in computer science to describe how the running time or space requirements of an algorithm grow relative to the size of its input.
• C. Stirling's approximation
  Stirling's approximation is a classical formula in mathematics that provides an efficient asymptotic estimate for factorials and the gamma function, especially for large arguments.
• D. Knuth’s up-arrow notation
  Knuth’s up-arrow notation is a mathematical notation introduced by Donald Knuth to concisely represent very large integers using iterated exponentiation and its higher-order generalizations.
• E. von Mangoldt function Λ(n)
  The von Mangoldt function Λ(n) is an arithmetic function in number theory that encodes the distribution of prime powers by assigning log p to integers n that are powers of a prime p and 0 otherwise.
• F. None of above.