(uppercase '''Ε''', lowercase '''ε''') is the fifth letter of the Greek Alphabet , corresponding phonetically to a Close-mid Front Unrounded Vowel /e/. In the system of Greek Numerals it has a value of 5. It was derived from the Phoenician Letter He . Letters that arose from Epsilon include the Roman E and Cyrillic Ye .
"Epsilon" (, "simple e") was coined to distinguish the letter from αι, which by the medieval period was pronounced the same way.
The standard symbol for lowercase epsilon is the ( in MathML), which has its origins in Medieval Greek.
In mathematical notation, the minuscule symbol ''' ɛ ''' ( in MathML) from the extended Latin Alphabet is often used interchangeably with the '''lunate epsilon.'''
The lunate epsilon ϵ is not to be confused with the set symbol ∈.
The upper-case Epsilon is not a commonly-used symbol outside of the Greek language because of its similarity to the Roman letter E .
The lower-case epsilon, /''' ϵ ''', or open e, ''' ɛ ''', (see above) is used as the symbol for:
- In mathematics (particularly Calculus ), an arbitrarily (or nearly so) small positive quantity is commonly denoted ε; see Limit .
- --- By analogy with this, the late mathematician Paul Erdős also used the term "epsilons" to refer to children ( Hoffman 1998, p. 4).
- In Set Theory , the Limit Ordinal of the sequence .
- In computing, the Precision of a numeric data type.
- In Computer Science , the Empty String , though different writers use a variety of other symbols for the empty string as well, including the lower case Greek letter Lambda .
- In mathematics, the Levi-Civita Symbol .
- In mathematics, to represent the Dual Number s: a + bε, with ε2=0 and ε≠0.
- In physics, the Permittivity of a medium.
- In physics/electronics, the EMF of a circuit
- In Automata Theory , a transition that involves no shifting of an input symbol.
- In Astronomy , the fifth brightest (usually) star in a Constellation . ''See'' Bayer Designation .
- In the International Phonetic Alphabet , the Open-mid Front Unrounded Vowel , (but generally written ɛ instead of ε) as in the English word "pet" (/pɛt/)
- In physics, the Strain of a material (A ratio of extensions).
- In Astronomy , Epsilon is the name for Uranus' most distant and most visible ring.
- In Chemistry , the Molar Extinction Coefficient of a Chromophore .
- In Economics , ε refers to Elasticity .
- ''Epsilon in Rampant Evil'' is the name of a stolen dragon.
- ''Epsilon in Malaysian Pale'' is the name of the second solo album released by Tangerine Dream leader Edgar Froese in 1975 .
- Epsilon is also an Australian light-powered female-looking Robot that fought Pluto in an episode of Astro Boy .
- ''Epsilon'' is the primordial guide of Jess in the young adult's novel The Riddles Of Epsilon by Christine Morton-Shaw .
- ''Epsilon Eridani III'' is the planet that the spacestation Babylon 5 orbited in the eponymous Sci-fi television series.
- E-104 Epsilon is also the name of a robot in Sonic Adventure .
- Epsilon Semi-Moron is the lowest and least intelligent caste in Aldous Huxley's dystopic satire Brave New World .
- "Epsilon 9" is the name of the Federation space station consumed by the V'ger cloud in .
- Epsilon is the name of an unlockable creature in the game Monster Rancher 2
- In Greek it is used for Epsilon Team .
- "Epsilon Mirror" is the name of one of Aika's moves in the video game Skies Of Arcadia .
- ''Epsilon'' is the leader of the Rebellion in
- "The Epsilon Program" is a mysterious by Game Developer Rockstar North . This cult is thought to be based on Scientology . It is also a clan in SA-MP (GTA SA Multiplayer)
- The Epsilon Project is a fictional experiment mentioned in the Dreamcast and Xbox versions of Dead Or Alive 2 and is based around cloning.
- "Epsilon" Is the beginning of some names of computer controlled clone troopers in Star Wars Battlefront for PC, Xbox and PS2.
- "Epsilon" is the title of a superhero novel by John J. Rust, published through Xlibris.
- Epsilon Eridani is also the name of the first planet attacked by the UNEF in The Forever War, a science fiction novel by Joe Haldeman.
- "Ground Team Epsilon" was an assault team in the game "G-Police" for Playstation 1.
- "Epsilon" is the name used by General Motors for the post- 2003 Epsilon Platform .
- "Epsilon Events" is a company founded in 2005 by Dan Craft and James Wilmott, which has quickly developed into the leading EU dedicated conference and event provider.
- "Epsilon Concepts" is the name used by a company founded in 2000 by Rob Berthume that is a premier marketing-driven web design firm in the United States.
- Hurricane Epsilon , a storm of the 2005 Atlantic Hurricane Season .
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