What are examples of mathematical concepts that are considered abstract ideas?

Examples of mathematical concepts considered abstract ideas include:

  • Mathematical relationships
  • Mathematical formulas or equations
  • Mathematical calculations

Specific examples cited in MPEP 2106.04(a)(2) include:

  • A procedure for converting binary-coded decimal numerals into pure binary form (Gottschalk v. Benson)
  • A mathematical formula for calculating an alarm limit (Parker v. Flook)
  • The Arrhenius equation (Diamond v. Diehr)
  • A mathematical formula for hedging (Bilski v. Kappos)

The MPEP states: “The Court’s rationale for identifying these ‘mathematical concepts’ as judicial exceptions is that a ‘mathematical formula as such is not accorded the protection of our patent laws,’ … and thus ‘the discovery of [a mathematical formula] cannot support a patent unless there is some other inventive concept in its application.'”

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Topics: MPEP 2100 - Patentability, MPEP 2106.04(A)(2) - Abstract Idea Groupings, Patent Law, Patent Procedure
Tags: Abstract Ideas, Mathematical Calculations, Mathematical Concepts, Mathematical Formulas, Mathematical Relationships, Patent Eligibility