Word.ws English Dictionary

nonstandard analysis

nonstandard analysis noun: analysis founded upon the hyperreal number system, i.e., which formally defines and uses infinitesimals, especially differentials.

Noun

nonstandard analysis (uncountable)

  1. Analysis founded upon the hyperreal number system, i.e., which formally defines and uses infinitesimals, especially differentials.
    • To be sure, the epsilon-delta methods arose in part because mathematicians became unsure of the foundational validity of infinitesimals. But since nonstandard analysis exactly provides the missing legitimacy, the original motivation for adopting epsilon-delta arguments appears to fall away.2010 February 25, Joel David Hamkins, “Answer to "How helpful is non-standard analysis?"”, in mathoverflow.net, retrieved 13 Nov 2012

Questions about nonstandard analysis

What does nonstandard analysis mean?
Nonstandard analysis means analysis founded upon the hyperreal number system, i.e., which formally defines and uses infinitesimals, especially differentials.
What part of speech is nonstandard analysis?
Nonstandard analysis is a noun.

Words near nonstandard analysis in the dictionary

  1. nonstaining
  2. nonstale
  3. nonstampable
  4. nonstamped
  5. nonstandard
  6. nonstandard analysis
  7. nonstandard appreciable
  8. nonstandard dialect
  9. nonstandard dialects
  10. nonstandard item
  11. nonstandard items

Source and license

Adapted from Wiktionary: nonstandard analysis (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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