What does epsilon mean?

Definitions for epsilon
ˈɛp səˌlɒn, -lən; esp. Brit. ɛpˈsaɪ lənep·silon

This dictionary definitions page includes all the possible meanings, example usage and translations of the word epsilon.

Princeton's WordNet

  1. epsilonnoun

    the 5th letter of the Greek alphabet

Wiktionary

  1. epsilonnoun

    The name for the fifth letter of the Greek alphabet, u03B5 or , preceded by delta (, u03B4) and followed by zeta (, u03B6).

  2. epsilonnoun

    In IPA, the phonetic symbol that represents the open-mid front unrounded vowel; represented in SAMPA as E.

  3. epsilonnoun

    An arbitrarily small quantity.

  4. epsilonnoun

    A negligible effect.

    Yes, we have to convert all the symbol names to upper case at startup, but that's epsilon.

  5. Etymology: From ἒψιλόν.

Wikipedia

  1. Epsilon

    Epsilon (, UK also ; uppercase Ε, lowercase ε or lunate ϵ; Greek: έψιλον) is the fifth letter of the Greek alphabet, corresponding phonetically to a mid front unrounded vowel IPA: [e̞] or IPA: [ɛ̝]. In the system of Greek numerals it also has the value five. It was derived from the Phoenician letter He . Letters that arose from epsilon include the Roman E, Ë and Ɛ, and Cyrillic Е, È, Ё, Є and Э. The name of the letter was originally εἶ (Ancient Greek: [êː]), but it was later changed to ἒ ψιλόν (e psilon 'simple e') in the Middle Ages to distinguish the letter from the digraph αι, a former diphthong that had come to be pronounced the same as epsilon. The uppercase form of epsilon is identical to Latin E but has its own code point in Unicode: U+0395 Ε GREEK CAPITAL LETTER EPSILON. The lowercase version has two typographical variants, both inherited from medieval Greek handwriting. One, the most common in modern typography and inherited from medieval minuscule, looks like a reversed number "3" and is encoded U+03B5 ε GREEK SMALL LETTER EPSILON. The other, also known as lunate or uncial epsilon and inherited from earlier uncial writing, looks like a semicircle crossed by a horizontal bar: it is encoded U+03F5 ϵ GREEK LUNATE EPSILON SYMBOL. While in normal typography these are just alternative font variants, they may have different meanings as mathematical symbols: computer systems therefore offer distinct encodings for them. In TeX, \epsilon ( ϵ {\displaystyle \epsilon \!} ) denotes the lunate form, while \varepsilon ( ε {\displaystyle \varepsilon \!} ) denotes the reversed-3 form. There is also a 'Latin epsilon', ɛ or "open e", which looks similar to the Greek lowercase epsilon. It is encoded in Unicode as U+025B ɛ LATIN SMALL LETTER OPEN E and U+0190 Ɛ LATIN CAPITAL LETTER OPEN E and is used as an IPA phonetic symbol. The lunate or uncial epsilon provided inspiration for the euro sign, €.The lunate epsilon, ϵ, is not to be confused with the set membership symbol ∈; nor should the Latin uppercase epsilon, Ɛ, be confused with the Greek uppercase Σ (sigma). The symbol ∈ {\displaystyle \in } , first used in set theory and logic by Giuseppe Peano and now used in mathematics in general for set membership ("belongs to") evolved from the letter epsilon, since the symbol was originally used as an abbreviation for the Latin word est. In addition, mathematicians often read the symbol ∈ as "element of", as in "1 is an element of the natural numbers" for 1 ∈ N {\displaystyle 1\in \mathbb {N} } , for example. As late as 1960, ε itself was used for set membership, while its negation "does not belong to" (now ∉) was denoted by ε' (epsilon prime). Only gradually did a fully separate, stylized symbol take the place of epsilon in this role. In a related context, Peano also introduced the use of a backwards epsilon, ϶, for the phrase "such that", although the abbreviation s.t. is occasionally used in place of ϶ in informal cardinals.

ChatGPT

  1. epsilon

    Epsilon is commonly used as a mathematical symbol in various fields to represent a small positive quantity. It's often used in mathematical proofs, calculus, and algorithms to denote an arbitrarily small positive number. The actual value of epsilon can vary depending on the context, but it's typically considered to be very close to zero.

Wikidata

  1. Epsilon

    Epsilon is the fifth letter of the Greek alphabet, corresponding phonetically to a close-mid front unrounded vowel. 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 Е. The name "epsilon" was coined in the Middle Ages to distinguish the letter from the digraph αι, a former diphthong that had come to be pronounced the same as epsilon. The uppercase form of epsilon looks essentially identical to Latin E. The lowercase version has two typographical variants, both inherited from medieval Greek handwriting. One, the most common in modern typography and inherited from medieval minuscule, looks like a reversed "3". The other, also known as lunate or uncial epsilon and inherited from earlier uncial writing, looks like a semicircle crossed by a horizontal bar. While in normal typography these are just alternate font variants, they may have different meanings as mathematical symbols. Computer systems therefore offer distinct encodings for them. In Unicode, the character U+03F5 "Greek lunate epsilon symbol" is provided specifically for the lunate form. In TeX, \epsilon denotes the lunate form, while \varepsilon denotes the inverted-3 form.

The New Hacker's Dictionary

  1. epsilon

    [see delta] 1. n. A small quantity of anything. “The cost is epsilon.” 2. adj. Very small, negligible; less than marginal. “We can get this feature for epsilon cost.” 3. within epsilon of: close enough to be indistinguishable for all practical purposes, even closer than being within delta of. “That's not what I asked for, but it's within epsilon of what I wanted.” Alternatively, it may mean not close enough, but very little is required to get it there: “My program is within epsilon of working.”

Suggested Resources

  1. epsilon

    The epsilon symbol -- In this Symbols.com article you will learn about the meaning of the epsilon symbol and its characteristic.

  2. epsilon

    Song lyrics by epsilon -- Explore a large variety of song lyrics performed by epsilon on the Lyrics.com website.

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How to pronounce epsilon?

How to say epsilon in sign language?

Numerology

  1. Chaldean Numerology

    The numerical value of epsilon in Chaldean Numerology is: 5

  2. Pythagorean Numerology

    The numerical value of epsilon in Pythagorean Numerology is: 9

Popularity rank by frequency of use

epsilon#10000#19870#100000

Translations for epsilon

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"epsilon." Definitions.net. STANDS4 LLC, 2024. Web. 24 Apr. 2024. <https://www.definitions.net/definition/epsilon>.

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