IHOMO
Alternative spelling of IMHO, designed to fully appreciate the gayness of netiquette. Great for flamewars.
IHOMO by Mark2o98fuz November 27, 2007
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isomorphism
Abstract algebra: Take a group G, and a group H, with a group operation *. G is isomorphic to H if there exist a map f: G->H such that:
1: f is injective
2: f is surjective
3: f(a*b)=f(a)*f(b) for all a,b in G
If f satisfies these three properties, f is called an isomorphism.
1: f is injective
2: f is surjective
3: f(a*b)=f(a)*f(b) for all a,b in G
If f satisfies these three properties, f is called an isomorphism.
The map f: Z -> E given by f(a)=2a where Z is the integers and E is the even integers is an isomorphism.
Proof:
Showing injectivity
f(b)=f(a) => 2a=2b (from the given function) <=> a=b
Showing surjectivity
Suppose n is in E. n is an even integer hence n=2k for some integer k.
f(k)=2k=n, hence f is surjective.
Homomorphism:
f(a+b)=2(a+b)=2a+2b=f(a)+f(b)
Hence f is an isomorphism. Q. E. D.
Proof:
Showing injectivity
f(b)=f(a) => 2a=2b (from the given function) <=> a=b
Showing surjectivity
Suppose n is in E. n is an even integer hence n=2k for some integer k.
f(k)=2k=n, hence f is surjective.
Homomorphism:
f(a+b)=2(a+b)=2a+2b=f(a)+f(b)
Hence f is an isomorphism. Q. E. D.
isomorphism by qsqazxcvfrew March 29, 2018
Related Words
IHOMO • ihome • isomorphism • iFomo • Ihamod • ihmoyhy • iHomer • ihookedupwithnickyyknow • ihookedupwithsapphireyk • ihoop
ihome
A small, circular loudspeaker that can charge any electronics with a usb cable. It also has Bluetooth, and the quality of the music is excellent. I really recommend it, it has a good price, too.
ihome by HeavyMetalRocks January 6, 2015
IOMOS
Fuck everyone, Iomos!
Isomorphic JavaScript
A JavaScript application which can be executed in both a browser and a non-browser runtime. This was the first term used to describe this concept, but "Universal JavaScript" now has wider acceptance. Mathematicians and functional programmers will scoff at you if you use "isomorphic" to describe JavaScript, so save face by using "universal" instead.
Isomorphic JavaScript by chexxor March 30, 2017
ioMoVo
ioMoVo is the cloud storage system where you can enjoy the cloud ownership experience wherever your apps and data live. Being a subscription-based Software-as-a-Service (SaaS) solution, ioMoVo platform expands on typical cloud storage by giving users access to our proprietary Bring-Your-Own-Storage (BYOS) model, along with a comprehensive set of features that makes dealing with content much more effortless. Using intuitive asset movement and consolidation, AI-based search, and workflow automation, it provides a complete user experience in a single interface.
iFomo
A jealous obsession felt by the few who, when around their friends who all have iPhones, have a fear of missing out on the many advantageous entertainment methods an iPhone has to offer over 'ye olde mobiles'.
(Two friends sitting on the same couch playing 'Words with Friends'...whilst a third friend sits in between, only with his primitive 'button phone' to keep him entertained)
Friend 1 (iPhone): Bullshit, there's no way what you just sent is a word, you made that up!....(enters a reply word to Friend 2). Suck on this fgt!
Friend 2 (iPhone): Haha you idiot, you're guessing this shit as much as I am!
Friend 3 (Non-iPhone): -_- (wondering wtf is going on) ...man I got some serious iFomo.
Friend 1 (iPhone): Bullshit, there's no way what you just sent is a word, you made that up!....(enters a reply word to Friend 2). Suck on this fgt!
Friend 2 (iPhone): Haha you idiot, you're guessing this shit as much as I am!
Friend 3 (Non-iPhone): -_- (wondering wtf is going on) ...man I got some serious iFomo.
More from Urban Dictionary
No Surprises Wedding
A "No Surprises Wedding," or NSW, is a wedding invitation designation that tells attendees that there can be no unplanned announcements, engagements, events or speeches at the wedding - all actions must be pre-approved by the couple. Anyone who performs an unapproved "surprise" will be asked to leave the wedding early.
This designation comes from Reddit, where so many stories of bad wedding behavior indicated a need to communicate expectations for the wedding behavior of attendees.
This designation comes from Reddit, where so many stories of bad wedding behavior indicated a need to communicate expectations for the wedding behavior of attendees.
You are cordially invited to the nuptials of Brian and Tom on October 31 at noon.
Please note that this wedding is child-free (under 10) and a No Surprises Wedding (NSW). Reach out to wedding planner Sami Smith to request approvals or exceptions; please note that exceptions will be rare. Limited child care for under-10s will be available. All approvals will be noted and included in planning. Unapproved, or surprise exceptions, will result in guests being asked to leave.
Please note that this wedding is child-free (under 10) and a No Surprises Wedding (NSW). Reach out to wedding planner Sami Smith to request approvals or exceptions; please note that exceptions will be rare. Limited child care for under-10s will be available. All approvals will be noted and included in planning. Unapproved, or surprise exceptions, will result in guests being asked to leave.
No Surprises Wedding by dbdefenestrate August 27, 2023
Word of the Day on November 8, 2026
ulzzang
Ulzzang true definition is "best & "face" = best face in korean. They are basically people with above average looks, sometimes with the use of photoshop and haduri who post their pics online, some becoming internet celebrities.
ulzzang by `r i k kit t y February 26, 2008
Word of the Day on November 7, 2026
EBK
EBK stands for "Elite Ball Knowledge." 1 In internet slang, "ball knowledge" originally referred to a deep understanding of football/soccer or basketball, but it has evolved into a broader term for having a highly sophisticated, deep, or niche understanding of any specific topic (such as music, movies, or subcultures).
Yap Trap
Yap Trap by WolfieSnack November 4, 2026
Word of the Day on November 5, 2026
Blexas
Texas is categorized as a swing state in presidential elections, but has voted for Republicans more times than for Democrats in recent history. As such, as demographics change political alignments, some Democrats believe that Texas will vote blue, or Democratic, due to their Hispanic and African American voters, who often align themselves with the Democratic Party's liberal wing.
Blexas has been cited as possible in the upcoming decades, but only if Democrats continue to win the Hispanic vote in bigger margins.
Blexas has been cited as possible in the upcoming decades, but only if Democrats continue to win the Hispanic vote in bigger margins.