expresses any even-order joint moment as a sum over pairings of indices

Target entity: expresses any even-order joint moment as a sum over pairings of indices
Context triple: [Isserlis’ theorem, property, expresses any even-order joint moment as a sum over pairings of indices]

• A. Clebsch–Gordan coefficients
  Clebsch–Gordan coefficients are numerical factors in quantum mechanics and representation theory that describe how to combine two angular momenta (or group representations) into a single resultant one.
• B. Vandermonde matrix
  A Vandermonde matrix is a structured matrix whose rows (or columns) are geometric progressions of given numbers, widely used in polynomial interpolation, determinant theory, and numerical analysis.
• C. Jacobi ensemble
  The Jacobi ensemble is a family of random matrix models whose eigenvalue distributions are supported on a finite interval and are closely connected to classical orthogonal polynomials and beta-type probability measures.
• D. Cauchy–Binet formula
  The Cauchy–Binet formula is a fundamental result in linear algebra that expresses the determinant of a product of two rectangular matrices as a sum of products of determinants of their square submatrices.
• E. Jacobi matrix
  A Jacobi matrix is a tridiagonal matrix, often symmetric, that arises in numerical analysis and mathematical physics, particularly in the study of orthogonal polynomials and eigenvalue problems.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: expresses any even-order joint moment as a sum over pairings of indices
Target entity description: Isserlis’ theorem is a result in probability theory that provides a formula for computing higher-order moments of jointly Gaussian random variables in terms of their covariances.

• A. Clebsch–Gordan coefficients
  Clebsch–Gordan coefficients are numerical factors in quantum mechanics and representation theory that describe how to combine two angular momenta (or group representations) into a single resultant one.
• B. Vandermonde matrix
  A Vandermonde matrix is a structured matrix whose rows (or columns) are geometric progressions of given numbers, widely used in polynomial interpolation, determinant theory, and numerical analysis.
• C. Jacobi ensemble
  The Jacobi ensemble is a family of random matrix models whose eigenvalue distributions are supported on a finite interval and are closely connected to classical orthogonal polynomials and beta-type probability measures.
• D. Cauchy–Binet formula
  The Cauchy–Binet formula is a fundamental result in linear algebra that expresses the determinant of a product of two rectangular matrices as a sum of products of determinants of their square submatrices.
• E. Jacobi matrix
  A Jacobi matrix is a tridiagonal matrix, often symmetric, that arises in numerical analysis and mathematical physics, particularly in the study of orthogonal polynomials and eigenvalue problems.
• F. None of above. chosen