Εε
MATHEMATICS
- A very small quantity (ε).
- Limits: ε–δ definitions.
PROBABILITY
- Small errors/perturbations in approximations.
- Margin ε in inequalities/limits.
STATISTICS
- Error/residual (ε) in regression.
- Numerical precision (machine epsilon).
PRONUNCIATION
- Ancient Greek
- sound [e]
- Modern Greek
- έψιλον [ˈepsilon] · sound [e]
IN FORMULAS
- y = β₀ + β₁x + εε is the error term: what the line does not explain.See it explained at morrisonkuhlsen.com →
- ∀ε > 0, ∃δ > 0: |x − a| < δ ⇒ |f(x) − L| < εThe ε–δ definition of a limit.
HOW TO WRITE IT — click to copy
lowercase
variant
uppercasesame as the Latin letter: LaTeX has no command for it
DON'T CONFUSE IT
- ∈ ε ϵ € ∈ (element of, \in in LaTeX) is a symbol of its own, derived from the lunate epsilon ϵ.
Note: notations vary between books/fields; these are the most common usages.