What number does epsilon represent in math?

Answer 1

The Greek lowercase epsilon ε, the lunate epsilon symbol ϵ, or the Latin lowercase epsilon ɛ (see above) is used as the symbol for:

• In mathematics (particularly calculus), an arbitrarily small positive quantity is commonly denoted ε; see (ε, δ)-definition of limit.
  • In reference to this, the late mathematician Paul Erdős also used the term "epsilons" to refer to children (Hoffman1998, p. 4).
• 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 + bε, with ε2 = 0 and ε≠ 0.
• In mathematics, sometimes used to denote the Heaviside step function.