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List of mathematical identities


List of mathematical identities


This article lists mathematical identities, that is, identically true relations holding in mathematics.

  • Bézout's identity (despite its usual name, it is not, properly speaking, an identity)
  • Binet-cauchy identity
  • Binomial inverse theorem
  • Binomial identity
  • Brahmagupta–Fibonacci two-square identity
  • Candido's identity
  • Cassini and Catalan identities
  • Degen's eight-square identity
  • Difference of two squares
  • Euler's four-square identity
  • Euler's identity
  • Fibonacci's identity see Brahmagupta–Fibonacci identity or Cassini and Catalan identities
  • Heine's identity
  • Hermite's identity
  • Lagrange's identity
  • Lagrange's trigonometric identities
  • List of logarithmic identities
  • MacWilliams identity
  • Matrix determinant lemma
  • Newton's identity
  • Parseval's identity
  • Pfister's sixteen-square identity
  • Sherman–Morrison formula
  • Sophie Germain identity
  • Sun's curious identity
  • Sylvester's determinant identity
  • Vandermonde's identity
  • Woodbury matrix identity

Identities for classes of functions

  • Exterior calculus identities
  • Fibonacci identities: Combinatorial Fibonacci identities and Other Fibonacci identities
  • Hypergeometric function identities
  • List of integrals of logarithmic functions
  • List of topics related to π
  • List of trigonometric identities
    • Inverse trigonometric functions
  • Logarithmic identities
  • Summation identities
  • Vector calculus identities

See also

  • List of inequalities
  • List of set identities and relations – Equalities for combinations of sets

External links

  • A Collection of Algebraic Identities
  • Matrix Identities

Text submitted to CC-BY-SA license. Source: List of mathematical identities by Wikipedia (Historical)



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