Epsilon

Epsilon (ε)
Class	० Nullum ०
Well-defined?	Yes
Examples of larger numbers	1, 1/2, δ, ζ
Examples of smaller numbers	0, ε/2, Underscore

Epsilon, or ε, is a number smaller than all the positive reals, but larger than zero. It can also be defined as ω^-1. It is defined as a square root of zero not equal to zero in the dual numbers system, similar to how i is defined as the square root of -1.

Analysis

• Due to being close to 0, ε < infinitesimal ε.
• ε⁰ = 1
• ε^ε = √δ
• ε^-2 = ω²
• If signed zeroes exist: ε³ would be more 0 than the positive 0. However, signed zeroes break at this point.
• If zeroids exist:
  • εⁿ < 0.0 = Underscore