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: Hardy–Littlewood–Karamata theory of regular variation | Statement: [Tauberian theorems, relatedConcept, Hardy–Littlewood–Karamata theory of regular variation]

Target entity: Hardy–Littlewood–Karamata theory of regular variation
Context triple: [Tauberian theorems, relatedConcept, Hardy–Littlewood–Karamata theory of regular variation]

• A. Gnedenko’s theorem in extreme value theory
  Gnedenko’s theorem in extreme value theory is a fundamental result that characterizes all possible non-degenerate limit distributions for properly normalized maxima of independent, identically distributed random variables, forming the basis of modern extreme value analysis.
• B. Kolmogorov's law of the iterated logarithm
  Kolmogorov's law of the iterated logarithm is a fundamental result in probability theory that precisely characterizes the almost-sure fluctuations of partial sums of independent random variables between the law of large numbers and the central limit theorem.
• C. Tauberian theorems
  Tauberian theorems are results in mathematical analysis that connect the behavior of transformed series or integrals (such as those summed by Abel or Cesàro methods) back to the asymptotic behavior or convergence of the original sequences or series.
• D. Khinchin's law of the iterated logarithm
  Khinchin's law of the iterated logarithm is a fundamental result in probability theory that precisely characterizes the almost-sure fluctuations of partial sums of independent random variables on the scale of the square root of twice the product of their variance and the iterated logarithm of the sample size.
• E. Harmonic Analysis and the Theory of Probability
  Harmonic Analysis and the Theory of Probability is a seminal mathematical monograph that connects Fourier-analytic methods with probabilistic concepts, helping to lay the foundations of modern probability theory.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Hardy–Littlewood–Karamata theory of regular variation
Target entity description: The Hardy–Littlewood–Karamata theory of regular variation is a framework in analysis that characterizes functions with power-like asymptotic behavior and underpins many Tauberian theorems and limit results.

• A. Gnedenko’s theorem in extreme value theory
  Gnedenko’s theorem in extreme value theory is a fundamental result that characterizes all possible non-degenerate limit distributions for properly normalized maxima of independent, identically distributed random variables, forming the basis of modern extreme value analysis.
• B. Kolmogorov's law of the iterated logarithm
  Kolmogorov's law of the iterated logarithm is a fundamental result in probability theory that precisely characterizes the almost-sure fluctuations of partial sums of independent random variables between the law of large numbers and the central limit theorem.
• C. Tauberian theorems chosen
  Tauberian theorems are results in mathematical analysis that connect the behavior of transformed series or integrals (such as those summed by Abel or Cesàro methods) back to the asymptotic behavior or convergence of the original sequences or series.
• D. Khinchin's law of the iterated logarithm
  Khinchin's law of the iterated logarithm is a fundamental result in probability theory that precisely characterizes the almost-sure fluctuations of partial sums of independent random variables on the scale of the square root of twice the product of their variance and the iterated logarithm of the sample size.
• E. Harmonic Analysis and the Theory of Probability
  Harmonic Analysis and the Theory of Probability is a seminal mathematical monograph that connects Fourier-analytic methods with probabilistic concepts, helping to lay the foundations of modern probability theory.
• F. None of above.