Omega - The Symbol Ω (majuscule Letter)

The Symbol Ω (majuscule Letter)

The majuscule letter Ω is used as a symbol:

• In physics:
  • For ohm – SI unit of electrical resistance; formerly also used upside down (℧) to represent mho, the old name for the inverse of an ohm (now siemens with symbol S) used for electrical conductance. Unicode has a separate code point for the ohm sign (U+2126, Ω), but it is only included for backwards compatibility and the Greek uppercase omega character (U+03A9, Ω) is preferred.
  • angular frequency
  • In statistical mechanics Ω refers to the multiplicity (number of microstates) in a system.
  • The solid angle or the rate of precession in a gyroscope.
  • In particle physics to represent the Omega baryons.
  • In astronomy (cosmology) Ω refers to the density of the universe, also called the density parameter.
  • In astronomy (orbital mechanics), Ω refers to the longitude of the ascending node of an orbit
• In mathematics / computer science:
  • in notation related to Big O notation to describe the asymptotic behavior of functions.
  • Chaitin's constant.
• In mathematics
  • In complex analysis, the Omega constant, a solution of Lambert's W function
  • A variable for a 2-dimensional region in calculus, usually corresponding to the domain of a double integral.
  • In topos theory, the (codomain of the) subobject classifier of an elementary topos.
  • In combinatory logic, the looping combinator, (λ x. x x) (λ x. x x)
  • In group theory, the omega and agemo subgroups of a p-group, Ω(G) and ℧(G)
  • In statistics, it is used as the symbol for the sample space, or total set of possible outcomes.
  • In number theory, Ω(n) is the number of prime divisors of n.
• As part of logo or trademark:
  • The logo of Omega Watches SA.
  • Part of the Badge of the Supreme Court of the United Kingdom.
  • Part of the mission patch for STS-135, as it was the last mission of the Space Shuttle program.

• Other
  • The symbol of the resistance movement against the Vietnam-era draft
  • Year or date of death
  • Used to refer to the lowest-ranked wolf in a pack
  • Eschatology the symbol for the end of everything
  • Commonly used in the cult classic video game, Earthbound