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What does epsilon represent in math?

Updated: 4/28/2022
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  • In mathematics (in particular calculus), an arbitrarily small positive quantity is commonly denoted ε; see (ε, δ)-definition of limit
  • In mathematics, Hilbert introduced epsilon terms as an extension to first order logic; see epsilon calculus.
  • In mathematics, the Levi-Civita symbol.
  • In mathematics, to represent the dual numbers: a + , with ε2 = 0 and ε ≠ 0.
  • In mathematics, sometimes used to denote the Heaviside step function.
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Q: What does epsilon represent in math?
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What is Greek mathematical symbol e?

The greek letter closest to representing the latin letter e is epsilon (ɛ). In math's, epsilon is mainly used to represent very small positive numbers (e.g. when working with proofs), and used as the Levi-Civita symbol (a.k.a. the permutation symbol, used in tensor calculus, sometimes uses upper epsilon E, instead of lower epsilon ɛ). It is also often used in statistics and numerical analysis to represent errors.


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