Epsilon (noun)

1. The fifth letter of the Greek alphabet, typically represented by "ε" or "ϵ".
2. A small quantity or difference.
3. In mathematics and science, an arbitrarily small positive quantity or a limit.

Origin:

Late latin, from greek, from epsilon, the fifth letter of the greek alphabet, used in mathematics and science to represent a small quantity, an arbitrarily small positive quantity, or a limit.

Examples:

1. In mathematical notation, epsilon is often used to represent a small quantity or difference.
2. The Greek letter epsilon is often used in mathematics and physics to represent a small quantity or a limit.
3. In the context of real analysis, an epsilon-delta definition of a limit is used to describe the behavior of a function as the input approaches a particular value.
4. In the context of machine learning, the term epsilon is used to refer to the minimum distance between two points that are considered to be distinct.
5. In the context of computer science, epsilon-nfa is a non-deterministic finite automata, which is used in formal language theory.