nonstandard method

English

Noun

nonstandard method (plural nonstandard methods)

  1. (mathematics, sciences) A method that is beyond the range of standard or traditional approaches, often involving introducing new concepts like infinitesimals or hyperreal numbers in order to solve difficult problems.
    • 1995, Francine Diener, Marc Diener, Nonstandard Analysis in Practice, page 1:
      This idea makes it possible to dissociate completely the logical foundation of the nonstandard method from its practical use.
    • 2009, Marek Kosmulski, Surface Charging and Points of Zero Charge, page 895:
      A nonstandard method (second-harmonic generation) was used in [651], and the purity of the surface was problematic.
    • 2019, Mauro Di Nasso, Isaac Goldbring, Martino Lupini, Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory, page ix:
      Finally, it is worth mentioning that many other results in combinatorics can be seen, directly or indirectly, as applications of the nonstandard method.