epsilontic
epsilontic adjective: pertaining to mathematical analysis using explicit error bound estimation and the epsilon-delta definition of a limit, especially as opposed to using infinitesimals.
Adjective
epsilontic
- Pertaining to mathematical analysis using explicit error bound estimation and the epsilon-delta definition of a limit, especially as opposed to using infinitesimals.
- The question is of a technical, gymnastic kind, and von Neumann's positive answer [4] uses the set-theoretic and epsilontic trickery appropriate to this domain.1966, J. C. Oxtoby, B. J. Pettis, G. B. Price, John Von Neumann, 1903-1957, American Mathematical Soc., →ISBN, page 88
- If a parameter such as x in (7.71) is continuous, there are other operations of the group 'as close as one likes' to any given operation; in 'epsilontic' language, we must be able to write T(x + ε) → T(x) as ε → 0. (7.76)1969, J. M. Ziman, Elements of Advanced Quantum Theory, Cambridge University Press, →ISBN, page 238
Origin of epsilontic
From the fact that ε is the usual symbol used to denote an error bound.
Words formed from epsilontic
Questions about epsilontic
- What does epsilontic mean?
- Epsilontic means pertaining to mathematical analysis using explicit error bound estimation and the epsilon-delta definition of a limit, especially as opposed to using infinitesimals.
- What part of speech is epsilontic?
- Epsilontic is an adjective.
Words near epsilontic in the dictionary
Source and license
Adapted from Wiktionary: epsilontic (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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