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: For sequences (x_k),(y_k) in ℓ^p, (∑|x_k + y_k|^p)^{1/p} ≤ (∑|x_k|^p)^{1/p} + (∑|y_k|^p)^{1/p} | Statement: [Minkowski inequality, statement, For sequences (x_k),(y_k) in ℓ^p, (∑|x_k + y_k|^p)^{1/p} ≤ (∑|x_k|^p)^{1/p} + (∑|y_k|^p)^{1/p}]

Target entity: For sequences (x_k),(y_k) in ℓ^p, (∑|x_k + y_k|^p)^{1/p} ≤ (∑|x_k|^p)^{1/p} + (∑|y_k|^p)^{1/p}
Context triple: [Minkowski inequality, statement, For sequences (x_k),(y_k) in ℓ^p, (∑|x_k + y_k|^p)^{1/p} ≤ (∑|x_k|^p)^{1/p} + (∑|y_k|^p)^{1/p}]

• A. Minkowski inequality chosen
  The Minkowski inequality is a fundamental result in functional analysis and measure theory that generalizes the triangle inequality to L^p spaces, providing a key tool for studying norms and integrable functions.
• B. Berry–Esseen theorem
  The Berry–Esseen theorem is a quantitative refinement of the central limit theorem that provides explicit bounds on the rate of convergence of normalized sums of independent random variables to the normal distribution.
• C. Riemann–Lebesgue lemma
  The Riemann–Lebesgue lemma is a fundamental result in Fourier analysis stating that the Fourier coefficients (or transform) of an integrable function vanish at infinity.
• D. Minkowski functional
  The Minkowski functional is a mathematical tool in functional analysis that assigns a nonnegative real number to each vector in a vector space based on its position relative to a given convex, balanced, absorbing set, generalizing the notion of a norm.
• E. Minkowski sum
  The Minkowski sum is a fundamental operation in geometry and convex analysis that combines two sets by adding every vector in one set to every vector in the other, widely used in areas such as optimization, robotics, and computational geometry.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.