Omega and One

The symbol: w+1. This is the smallest ordinal number after "omega". Informally we can think of this as infinity plus one. One formulation of ordinals is to treat them as sets of all smaller ordinals. In order to say omega and one is "larger" than "omega" we define largeness to mean that one ordinal is larger than another if the smaller ordinal is included in the set of the larger. The set w+1 would be {w,0,1,2,3,...}. It would be composed of all the non-negative integers plus omega. Thus w+1 by this definition is larger. However, since the cardinality of every ordinal is represented by the cardinality of it's set, we can also show that in a sense w = w+1, since w={0,1,2,3,...} and w+1={w,0,1,2,...} we can pair off arguments as: {(0,w),(1,0),(2,1),(3,2),...}, which shows both sets have the same number of elements, even though w+1 includes one more. Confused? Basically there is two ways to look at comparison of infinities: the cardinal view and the ordinal view. By the ordinal view, omega and one is greater, by the cardinal view omega and omega plus one are the same thing. Cardinals don't play a large role in googology, but the countable ordinals do. So for our purposes the distinction between w and w+1 is important. (I copied this off a google site)
guy: yo I have omega and one pencils
guy 2: how the (AUUUUGGGGHHH) do you have omega and one
by SauceQuest31 December 29, 2022
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Omega Weeaboo

An "Omega Weeaboo", often called an "Omega Weeb", is usually the temporary result of an Anime Fan, Weeaboo, or Alpha Weeb becoming suddenly inspired or influenced by an Anime or Manga, typically one that the individual enjoys greatly. Some individuals who have achieved this have likened the power to the transformation in the popular Anime/Manga, Dragon Ball Z, known as "Super Saiyan".

Common changes when one becomes an "Omega Weeb", can include the following: Intense Confidence Boost, Maniacal Laughter, Quoting Anime/Manga Characters, Ranting In Japanese, Imitating Characters, and Binge-Watching Anime.
Although, studies have shown that if one is not already a Weeaboo or Alpha Weeb, becoming an "Omega Weeb" can cause them to mutate into these forms. Studies have also shown that there are some individuals who walk the line between Weeaboo and Anime Fan that show signs of being in a permanent state of "Omega Weeb". Whether these individuals are true "Omega Weebs" has yet to be proven.
Anime Fan #1: "Guys, I just read Chapter 122 of Attack On Titan! I think I've activated Omega Weeaboo mode!"
Anime Fan #2: "Wait, what does that mean?"
Anime Fan #1: "It means I've been inspired to continue writing that Hentai I started a year ago!"

Chad #1: "Come on, Nerd, show us what you've got!"
Weeb: "Heh, you're all fools. I watched JoJo's Bizarre Adventure yesterday..."
Chad #2: "What does that have to do with us kicking your ass?"
Weeb: "I watched Phantom Blood AND Battle Tendency in the same day! I HAVE ACHIEVED OMEGA WEEB STATUS!"
by The Omega Weeb October 09, 2019
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omega in heat

nick is an omega in heat
by NutBuster556 January 27, 2023
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Omega Shart

When you go past the point of just a fart and a shart it just becomes an insane monster fart that is an explosion of shit splurging from your anus.
Henry: Darrel did you just shart?

Darrell: No bro, I ripped an Omega shart; the beast of all farts.
by Deedus Peenus September 28, 2021
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Omega Timeline

This is part of the Undertale multiverse. This is a mostly white timeline originally void of life until discovered by Core-Frisk and made into a home for Genocide survivors and random characters from different AU's. The only way to enter it is through the thought of going to the timeline.
"Hey have you been to the Omega Timeline? Its really nice there."
by iStarOnline July 30, 2016
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Omega Mart

The best supermarket there is!
Located in Las Vegas! Come and see all of the wonderful products! Like our tattoo chicken or lemons! Just make sure they aren’t Omega Mart lemons, only regular ones!

(Hours of lore included. Check out the other Meow Wolf locations too!)

Oh oh oh! Omega Mart! You have no idea what’s in store for yooouuuu!
Omega Mart is the best supermarket there is!
by Oh-Oh-Oh-OmegaMart October 12, 2022
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Omega Virgin

Is a person that vapes, wears a bucket hat, is fat and is a hypebeast
Person 1: Damn its an omega virgin
Person 2: What a virgin
by Iceak1 May 13, 2022
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