epsilon
/ep'sailən/
Definition
- Noun:
- The fifth letter of the Greek alphabet (Ε, ε): "epsilon" is the name for the fifth character in the Greek alphabet, written in uppercase as Ε and in lowercase as ε.
Usage Examples
- Noun:
- In mathematics, epsilon (ε) often represents a very small positive quantity.
- The Greek letter epsilon is used as a symbol in various scientific fields.
Advanced Usage
"Epsilon-delta" (ε-δ): In calculus, this notation is used in the formal definition of a limit.
- Understanding the epsilon-delta definition is crucial for a rigorous foundation in analysis.
Machine Epsilon: In numerical computing, this term refers to the upper bound on the relative error due to rounding in floating-point arithmetic.
- The value of machine epsilon depends on the specific floating-point system being used.
Variants and Related Words
- Epsilonism (n): A term occasionally used in philosophical or linguistic contexts, though rare.
- Epsilonic (adj): Pertaining to or resembling the letter epsilon (technical/rare usage).
Synonyms
- Fifth Greek letter: A descriptive synonym.
- Ε, ε: The symbolic representations.
Related Phrases
Epsilon neighborhood: In topology and analysis, the set of points within a distance ε of a given point.
- The concept of an epsilon neighborhood is fundamental in defining open sets.
Epsilon closure: In automata theory, the set of states reachable from a given state on epsilon transitions (empty string transitions).
Related Idioms
Noun
-
the 5th letter of the Greek alphabet
Khám phá thêm
Các từ liên quan
Từ gần giống
Từ chứa "epsilon"
Từ có nhắc đến "epsilon"
