Method of Residues

Target entity: Method of Residues
Context triple: [John Stuart Mill as logician, method, Method of Residues]

• A. Le calcul des résidus et ses applications à la théorie des fonctions
  *Le calcul des résidus et ses applications à la théorie des fonctions* is a mathematical treatise on the theory of residues in complex analysis and its applications to the study of analytic functions.
• B. Cauchy residue theorem
  The Cauchy residue theorem is a fundamental result in complex analysis that relates contour integrals of analytic functions around singularities to the sum of their residues, greatly simplifying the evaluation of many complex and real integrals.
• C. Harmonic Integrals in the Theory of Analytic Functions
  "Harmonic Integrals in the Theory of Analytic Functions" is a foundational mathematical work by Kunihiko Kodaira that develops the theory of harmonic integrals and lays groundwork for modern complex analysis and complex geometry.
• D. Lagrange’s variation of parameters method
  Lagrange’s variation of parameters method is a classical analytical technique in celestial mechanics and differential equations that determines how orbital or system parameters evolve over time under perturbing forces.
• E. Wiener–Hopf equations
  Wiener–Hopf equations are integral equations that arise in problems of filtering, prediction, and diffraction, forming the mathematical foundation for optimal linear filters such as the Wiener filter.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Method of Residues
Target entity description: The Method of Residues is a logical technique, associated with John Stuart Mill, in which known causes are subtracted from a complex set of effects so that the remaining unexplained portion can be attributed to a previously unidentified cause.

• A. Le calcul des résidus et ses applications à la théorie des fonctions
  *Le calcul des résidus et ses applications à la théorie des fonctions* is a mathematical treatise on the theory of residues in complex analysis and its applications to the study of analytic functions.
• B. Cauchy residue theorem
  The Cauchy residue theorem is a fundamental result in complex analysis that relates contour integrals of analytic functions around singularities to the sum of their residues, greatly simplifying the evaluation of many complex and real integrals.
• C. Harmonic Integrals in the Theory of Analytic Functions
  "Harmonic Integrals in the Theory of Analytic Functions" is a foundational mathematical work by Kunihiko Kodaira that develops the theory of harmonic integrals and lays groundwork for modern complex analysis and complex geometry.
• D. Lagrange’s variation of parameters method
  Lagrange’s variation of parameters method is a classical analytical technique in celestial mechanics and differential equations that determines how orbital or system parameters evolve over time under perturbing forces.
• E. Wiener–Hopf equations
  Wiener–Hopf equations are integral equations that arise in problems of filtering, prediction, and diffraction, forming the mathematical foundation for optimal linear filters such as the Wiener filter.
• F. None of above. chosen