Omega (Greek letter): Difference between revisions

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Omega (uppercase Ω, lowercase ω) is the 24th and last letter of the Greek alphabet. In the Greek numeric system, it has a value of 800.
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Omega (uppercase Ω, lowercase ω) is the 24th and last letter of the [[Greek alphabet]].<ref>[http://www.omniglot.com/writing/greek.htm Greek] Omniglot</ref> In the Greek numeric system, it has a value of 800.
Pronounced [ɔ:] or 'aw' as in 'r'''aw''''.<ref>[http://www.omniglot.com/writing/english.htm IPA pronunciation chart for English equivalents][http://www.omniglot.com/writing/greek.htm Greek alphabet pronunciation and language]Omniglot</ref><ref>[http://socrates.berkeley.edu/~ancgreek/pronunchtml/omegaU.html Omega pronunciation] Ancient Greek tutorials, UC Berkeley</ref>


==Symbol uppercase Ω==
==Symbol uppercase Ω==
'''Astronomy'''
'''Astronomy'''
*density of the universe, also referred to as the cosmological density parameter. with components of mass density, Ω<sub>M</sub>, and vacuum energy density, Ω<sub>L</sub>.<ref>[http://www4.nau.edu/meteorite/Meteorite/Book-GlossaryO.html] Meteorite Book, Northern Arizona University</ref><ref>[http://en.citizendium.org/wiki/Astrophysics Curvature] Astrophysics</ref><ref>[http://en.citizendium.org/wiki/Cosmology Cosmological curvature] Cosmology</ref>
*Density of the universe, also referred to as the cosmological density parameter. with components of mass density, Ω<sub>M</sub>, and vacuum energy density, Ω<sub>L</sub>.<ref>[http://www4.nau.edu/meteorite/Meteorite/Book-GlossaryO.html] Meteorite Book, Northern Arizona University</ref><ref>[http://en.citizendium.org/wiki/Astrophysics Curvature] Astrophysics</ref><ref>[http://en.citizendium.org/wiki/Cosmology Cosmological curvature] Cosmology</ref>
'''Chemistry'''
'''Chemistry'''
*designation for the last carbon on the chain in a fatty acid
*Designation for the last carbon on the chain in a fatty acid
'''Electricity'''
'''Electricity'''
*[[Ohm]]: SI unit of electrical resistance
*[[Ohm]]: [[International System of Units|SI]] unit of electrical resistance
*[[Siemens (unit)]], abbreviated S, is the reciprocal of the ohm.
*[[Siemens (unit)]], abbreviated S, is the reciprocal of the ohm.
'''Mathematics'''
'''Mathematics'''
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*A theoretical measure of the execution of an algorithm, (e.g. required time or memory) given the problem size ''n'' (e.g. the number of items).<ref>[http://www.nist.gov/dads/HTML/omegaCapital.html] National Institute of Standards and Technology</ref>  
*A theoretical measure of the execution of an algorithm, (e.g. required time or memory) given the problem size ''n'' (e.g. the number of items).<ref>[http://www.nist.gov/dads/HTML/omegaCapital.html] National Institute of Standards and Technology</ref>  
*Stochastic process<ref>[http://en.citizendium.org/wiki/Stochastic_process Formal definition and basic properties] Stochastic process</ref>
*Stochastic process<ref>[http://en.citizendium.org/wiki/Stochastic_process Formal definition and basic properties] Stochastic process</ref>
'''Meterology'''
'''Meteorology'''
*Used to designate vertical motion in the atmosphere<ref>[http://www.srh.noaa.gov/jetstream/append/glossary_o.htm] JetStream – Online school for weather, National Weather Service</ref>
*Used to designate vertical motion in the atmosphere<ref>[http://www.srh.noaa.gov/jetstream/append/glossary_o.htm] JetStream – Online school for weather, National Weather Service</ref>
'''Statistics'''
'''Statistics'''
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*Negatively charged elementary particle with a mass 3270 times the mass of an electron.<ref>[http://www.merriam-webster.com/cgi-bin/dictionary?book=Dictionary&va=omega] Merriam Webster Online</ref>
*Negatively charged elementary particle with a mass 3270 times the mass of an electron.<ref>[http://www.merriam-webster.com/cgi-bin/dictionary?book=Dictionary&va=omega] Merriam Webster Online</ref>
*''Omega minus b'': a very short-lived unstable meson with mass 1532 times the mass of an electron (aka omega meson)<ref>[http://www.merriam-webster.com/cgi-bin/dictionary?book=Dictionary&va=omega] Merriam Webster Online</ref>
*''Omega minus b'': a very short-lived unstable meson with mass 1532 times the mass of an electron (aka omega meson)<ref>[http://www.merriam-webster.com/cgi-bin/dictionary?book=Dictionary&va=omega] Merriam Webster Online</ref>
==Symbol lowercase ω==
'''Mathematics'''
*The set of all natural numbers<ref>[http://en.citizendium.org/wiki/Natural_number Notation] Natural number</ref>
'''Physics'''
*Angular frequency


==References==
==References==
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Latest revision as of 11:01, 28 September 2024

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Omega (uppercase Ω, lowercase ω) is the 24th and last letter of the Greek alphabet.[1] In the Greek numeric system, it has a value of 800. Pronounced [ɔ:] or 'aw' as in 'raw'.[2][3]

Symbol uppercase Ω

Astronomy

  • Density of the universe, also referred to as the cosmological density parameter. with components of mass density, ΩM, and vacuum energy density, ΩL.[4][5][6]

Chemistry

  • Designation for the last carbon on the chain in a fatty acid

Electricity

  • Ohm: SI unit of electrical resistance
  • Siemens (unit), abbreviated S, is the reciprocal of the ohm.

Mathematics

  • Omega constant (Lambert’s W function)[7]
  • Chaitin’s constant: the probability that a randomly selected valid program string is interpreted by a halting

term[8]

  • Calculus: a 2-D region
  • A theoretical measure of the execution of an algorithm, (e.g. required time or memory) given the problem size n (e.g. the number of items).[9]
  • Stochastic process[10]

Meteorology

  • Used to designate vertical motion in the atmosphere[11]

Statistics

  • Sample space
  • Set of possible outcomes

Literary

  • End or last thing in a series[12]

Physics

  • Solid angle or rate of precession in a gyroscope[13]
  • Omega baryons (particle physics)
  • Negatively charged elementary particle with a mass 3270 times the mass of an electron.[14]
  • Omega minus b: a very short-lived unstable meson with mass 1532 times the mass of an electron (aka omega meson)[15]

Symbol lowercase ω

Mathematics

  • The set of all natural numbers[16]

Physics

  • Angular frequency

References

  1. ↑ Greek Omniglot
  2. ↑ IPA pronunciation chart for English equivalentsGreek alphabet pronunciation and languageOmniglot
  3. ↑ Omega pronunciation Ancient Greek tutorials, UC Berkeley
  4. ↑ [1] Meteorite Book, Northern Arizona University
  5. ↑ Curvature Astrophysics
  6. ↑ Cosmological curvature Cosmology
  7. ↑ [2] Wolfram Math World
  8. ↑ [3] School of Computer Sciences, Carnegie Mellon University
  9. ↑ [4] National Institute of Standards and Technology
  10. ↑ Formal definition and basic properties Stochastic process
  11. ↑ [5] JetStream – Online school for weather, National Weather Service
  12. ↑ [6] Ask Oxford
  13. ↑ [7]Wolfram Math World
  14. ↑ [8] Merriam Webster Online
  15. ↑ [9] Merriam Webster Online
  16. ↑ Notation Natural number
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