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Epsilon 0
E0 or E00 can refer to: * ε0, in mathematics, the smallest member of the epsilon numbers (mathematics), epsilon numbers, a type of ordinal number * ε0, in physics, vacuum permittivity, the absolute dielectric permittivity of classical vacuum * E0 (cipher), a cipher used in the Bluetooth protocol * E0 (robot), a 1986 humanoid robot by Honda * Eo, in electrochemistry, the standard electrode potential, measuring individual potential of a reversible electrode at standard state * E0, the digital carrier for audio, specified in G.703 * E0, Eos Airlines IATA code * E0, ethanol-free gasoline, see REC-90 * e0, in demographics, the life expectancy of an individual at birth (age zero) * E00, Cretinism ICD-10 code * E00, ECO code for certain variations of the Queen's Pawn Game chess opening * ''Enemy Zero'', a 1996 Japanese horror video game for the Sega Saturn See also * 0E (other) {{Letter-Number Combination Disambiguation ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Epsilon Numbers (mathematics)
In mathematics, the epsilon numbers are a collection of transfinite numbers whose defining property is that they are fixed points of an exponential map. Consequently, they are not reachable from 0 via a finite series of applications of the chosen exponential map and of "weaker" operations like addition and multiplication. The original epsilon numbers were introduced by Georg Cantor in the context of ordinal arithmetic; they are the ordinal numbers ''ε'' that satisfy the equation :\varepsilon = \omega^\varepsilon, \, in which ω is the smallest infinite ordinal. The least such ordinal is ''ε''0 (pronounced epsilon nought (chiefly British), epsilon naught (chiefly American), or epsilon zero), which can be viewed as the "limit" obtained by transfinite recursion from a sequence of smaller limit ordinals: :\varepsilon_0 = \omega^ = \sup \left\\,, where is the supremum, which is equivalent to set union in the case of the von Neumann representation of ordinals. Larger ordinal ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |