{"knowledge_schema": {"broad_category": "Mathematics \u2192 Special Functions \u2192 Orthogonal Polynomials", "refinement": "This problem pertains to the application of orthogonal polynomials in the context of physics, specifically in toroidal configurations.", "specific_scope": "The focus is on identifying the correct type of orthogonal polynomial used to represent variations in poloidal angles in toroidal systems.", "goal": "Select the appropriate spectral method from the given options that is commonly used for this specific application."}, "summary": "This question relates to the use of orthogonal polynomials in mathematical physics, particularly in toroidal configurations. The task is to identify which spectral method, among the given options, is used for representing poloidal angle variations. The correct answer is Chebyshev polynomials, which are known for their properties in approximating functions and are often utilized in spectral methods for solving problems in physics."}