How are mathematical concepts evaluated as abstract ideas?
This page is an FAQ based on guidance from the Manual of Patent Examining Procedure. It is provided as guidance, with links to the ground truth sources. This is information only: it is not legal advice.
Mathematical concepts are one of the three main categories of abstract ideas identified in the MPEP. The MPEP states:
“The mathematical concepts grouping is defined as mathematical relationships, mathematical formulas or equations, and mathematical calculations.“
When evaluating whether a claim recites a mathematical concept, examiners consider the following:
- Does the claim recite a mathematical relationship, formula, equation, or calculation?
- Is the mathematical concept merely based on or involves a mathematical concept?
The MPEP clarifies: “A claim does not recite a mathematical concept (i.e., the claim limitations do not fall within the mathematical concept grouping), if it is only based on or involves a mathematical concept.“
Examples of mathematical concepts considered abstract ideas include:
- A formula for computing an alarm limit (Parker v. Flook)
- A method of hedging risk (Bilski v. Kappos)
- An algorithm for converting binary-coded decimal numerals into pure binary form (Gottschalk v. Benson)
It’s important to note that a claim is not automatically ineligible just because it involves a mathematical concept. The claim as a whole must be evaluated to determine if it integrates the mathematical concept into a practical application or provides an inventive concept.