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: d’Alembert’s principle | Statement: [Traité de dynamique, associatedPrinciple, d’Alembert’s principle]

Target entity: d’Alembert’s principle
Context triple: [Traité de dynamique, associatedPrinciple, d’Alembert’s principle]

• A. d’Alembert’s principle chosen
  d’Alembert’s principle is a fundamental concept in classical mechanics that reformulates Newton’s laws to analyze the motion of systems by introducing inertial forces so they can be treated as if in static equilibrium.
• B. principle of least action
  The principle of least action is a fundamental concept in physics stating that the path taken by a physical system between two states is the one for which a specific quantity called the action is minimized (or made stationary), forming the basis of Lagrangian and Hamiltonian mechanics.
• C. Euler–Lagrange equation
  The Euler–Lagrange equation is a fundamental differential equation in the calculus of variations that provides the condition for a function to make a functional stationary, forming the basis of Lagrangian mechanics and many physical theories.
• D. d’Alembert’s formula
  d’Alembert’s formula is a classical solution method for the one-dimensional wave equation that expresses the displacement of a vibrating string in terms of its initial shape and velocity.
• E. Traité de dynamique
  Traité de dynamique is an influential 1743 treatise by Jean d’Alembert that helped formalize classical mechanics and introduced what is now known as d’Alembert’s principle.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: associatedPrinciple
Context triple: [Traité de dynamique, associatedPrinciple, d’Alembert’s principle]

• A. usesPrinciple
  Indicates that one entity applies, relies on, or is based upon a particular principle in its functioning, reasoning, or design.
• B. establishesPrinciple
  Indicates that an entity formulates, defines, or sets forth a foundational rule, guideline, or standard that others are expected to follow or build upon.
• C. implementsPrinciple
  Indicates that an entity applies, follows, or puts into practice a specified principle in its design, behavior, or operation.
• D. includePrinciple chosen
  Indicates that one entity incorporates, embodies, or is based on a particular principle defined by another entity.
• E. principle7
  Indicates that an entity is associated with, governed by, or exemplifies the seventh principle in a defined set of principles.
• F. None of above.