What is Omega: Definition and 74 Discussions

Omega (capital: Ω, lowercase: ω; Greek ὦ, later ὦ μέγα, Modern Greek ωμέγα) is the 24th and final letter in the Greek alphabet. In the Greek numeric system/Isopsephy (Gematria), it has a value of 800. The word literally means "great O" (ō mega, mega meaning "great"), as opposed to Ο ο omicron, which means "little O" (o mikron, micron meaning "little").In phonetic terms, the Ancient Greek Ω is a long open-mid o [ɔː], comparable to the vowel of English raw. In Modern Greek, Ω represents the mid back rounded vowel /o̞/, the same sound as omicron. The letter omega is transcribed ō or simply o.
As the final letter in the Greek alphabet, omega is often used to denote the last, the end, or the ultimate limit of a set, in contrast to alpha, the first letter of the Greek alphabet; see Alpha and Omega.

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  1. N

    How Is the Omega Minus Particle Produced in Proton-Proton Collisions?

    1) it is desire to produce omega minus particle in proton-proton collision. find the reaction satisfying all strong interaction conseravation laws & requiring the smallest possible threshold energy. ----> i only know that omega minus can be produced by negative kaon + proton. how do the above...
  2. A

    Proving A is a Sigma-Algebra on Omega

    Let f be a function mapping \Omega to another space E with a sigma-algebra[/tex] E. Let A = {A C \Omega: there exists B \epsilon E with A = f^{-1}(B)}. Show that A is a sigma-algebra on \Omega. Okay, so I should start by showing that \Omega is in A. I wasn't sure if this was as easy as saying...
  3. D

    Wave on a string: time from y=2mm to -2mm. Amp. & Omega given. Best method?

    Homework Statement If y(x,t) = (6mm)sin(kx + (600rad/s)t + theta) describes a wave traveling along a string, how much time does any given point on the string take to move between displacements y = +2 mm and y = -2 mm? All known data are stated in above problem. Homework Equations I...
  4. M

    Proving the Relationship Between \omega, \lambda and c

    Homework Statement Show that: \frac{dc}{d\omega}=\frac{1}{k}\left(1-\frac{c}{v_{g}}\right) The Attempt at a Solution...
  5. O

    Origin of suspected black hole in Omega Centauri

    Omega Centauri is suspected of being centred on a black hole and of perhaps being the remnant of a small galaxy rather than just a globular cluster. Could someone tell me, in either case, what the the accepted view is of how the black hole got there? Was it created as the star cluster formed...
  6. M

    Angular Speed of Rotating Disk: Omega Final & Initial

    Homework Statement A uniform disk is set into rotation with an initial angular speed about its axis through its center. While still rotating at this speed, the disk is placed in contact with a horizontal surface and released. What is the angular speed of the disk once pure rolling takes place...
  7. T

    Question about omega (angular velocity)

    For a capacitor in an AC circuit, does \omega = \frac{1}{RC} always? I have voltages such as Vg = 2cos(105t) V. When finding the capacitance using the formula C = \frac{1}{jwc} would I use \omega = 105 or would I use \omega = \frac{1}{RC}?
  8. B

    Why is linear speed at the top of the wheel 2r * omega?

    I thought that in the formula v=wr, r refers to the distance from the center, i.e., the radius. However, if the wheel is rotating on the ground, the books says that the linear speed at the top of the tire is 2rw, as opposed to rw. Why is this?
  9. A

    Angular Velocity: What's the Difference between Horizontal and Vertical Circles?

    Can someone please explain the difference in Angular Velocity for a Horizontal and a Vertical circle? :confused:
  10. B

    How Does the Omega Equation Apply to Surface Data Analysis in Meteorology?

    I'm trying to apply the Omega Equation to a set of surface data. Can anyone further break down the omega equation into its individual parts and give formula's to solve them. In particular parts like the geostrophic vorticity I've so far managed to find the geostrophic wind and static...
  11. L

    Relativistic Energy of Omega- particle

    Homework Statement An Omega- particle has rest energy 1672 MeV and mean lifetime 8.2X10-11 s. It is created and decays in a particle track detector and leaves a track 24mm long. What is the total energy of the Omega- particle? Homework Equations E=E0/Sqrt(1-v^2/c^2) E0=1672 MeV...
  12. X

    Omega 3 Intake: Too Much? Side Effects & Studies

    I know modern society is lacking an adequate omega 3 intake. They claim that we get a 10:1 to 20:1 ratio of omega 6:omega 3. But if it was reversed and we got 10 to 20 times the amount of omega 3 to 6, what would the side effects be? I am trying to find any article or study done showing this...
  13. B

    Understanding Omega: Baryons, Leptons, Photons and More

    This question concerns Omega(matter+dark+lambda). We take into account protons(baryons), electrons(leptons), neutrinos, pions, etc etc when trying to determine Omega from the CMB. but what about photons? I mean there are A LOT more photons than baryons. All those photons carry energy...
  14. O

    The Omega Point and Total Creativity

    Hi folks, Firstly I would like to introduce myself. My name is Owen and I am a science teacher from Australia. I am a bit of a ponderer and after watching a doco on string theory I started thinking about our existence, as I often do, you know, the basic things such as... "Why is there...
  15. S

    Mathematicians & Big O, Big Omega: Usage & Context

    Hi, I was wondering, do mathematicians (like computer scientists) use things like Big O, Big Omega, Little O, etc. a lot? If so, in what context?
  16. C

    Exploring the Paradox of Omega: The Ultimate Fate of Our Universe at Exactly 1

    If Omega was exactly 1... We know if the value of omega (the average mass of all matter int he universe was) was more than 1, the ultimate fate of our universe is the big crunch; also if omga was less than one, there wouldn't be enough gravitational pull to bring all matter back, however will...
  17. A

    What's the Difference Between Phrase Velocity and Omega?

    phrase velocity and "omega" what's the difference between phrase velocity and "omega"?
  18. vincentm

    Omega pointe and the Big crunch theories

    Can someone explain the Omega pointe to me? In regards to the theory of the universe collapsing?
  19. I

    Differential Equation and omega

    I am having trouble with the following problem: Find the value(s) of [tex] \omega [\tex] for which [tex] y = \cos(\omega * t) [\tex] satisfies [tex]\frac{d^2*y}{d*t^2} + 9y = 0[\tex] I am trying to use latex but it doesn't seem to be working when I do "preview post" so I will rewrite...
  20. T

    Proof of the Theorem: Omega and D Relationship

    I need to prove the Theorem: If omega is equal to infinity then D =[0,infinity) and if omega<infinity, then D =[o,infinity]. Where omega=the least upper bound of D and D=the set of all distances that occur between points of the plane. I'm really just not sure where to start, but I'm pretty...
  21. S

    Solving Omega in Angular Velocity Equations: A Test Prep for Sarah

    we are just about to take a test in physis.. I am quite scared. i have revised on all the topics required but i don't get the use of omega in angular velocity equations. what is the equation and when do i need to use it? sarah
  22. H

    Accepted value for Omega of radiation energy density

    What is the currently accepted value for Omega of radiation energy density (photons and neutrinos)? References would be helpful. Thanks.
  23. B

    Omega partial alpha found @ www.beyond-science.com

    Omega partial alpha found @ [PLAIN]www.beyond-science.com[/URL]
  24. A

    Uncovering the Mystery of Mathematics: Gregory Chaitin's Omega

    I first read this story in New Scientist when I was collecting it. Here are some highlights: The article has been reposted here: http://www.you.com.au/news/362.htm and in many other places. Any comments?
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