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archiveofourown.org
Hold Me Close Tonight - Roblidon - Game Grumps [Archive of Our Own]
An Archive of Our Own, a project of the Organization for Transformative Works
By Organization for Transformative Works

Chapters: 1/1
Fandom: GH
Rating: General Audiences
Warnings: No Archive Warnings Apply
Relationships: Dan Avidan/Arin Hanson
Characters: Dan Avidan, Arin Hanson
Additional Tags: Egobang - Freeform, Fluff, nonsexual touching, commission
Summary:

After a regular day at work, Arin decides to pay Dan a visit.

kandayuu:

here hav a late bday gift because i suck happy birthday bby ilu let me kno if u want it w/out the colour so u can actually see the drawing haha h a :U

iT’S STILL MY BIRTHDAY HERE FOR ANOTHER 15 MINUTES YOU’RE NOT LATE

First Isomorphism theorem

Say φ:G→H is a homomorphism between groups G and H.

Theorem: G/Ker(φ) ≅ Im(φ)


Let’s unpack this.

Notation: We denote “A is isomorphic to B” by “A ≅ B.” It looks sort of like a mix of “approximately,” “similarly,” and “equals” because it means “have the same structure.”

Notation: “G/K” means “the quotient of G by K” (sometimes read as “G mod K”). It means we take everything in K, and “collapse” them to be equal, and see what else in G must “collapse” to be equal.

Definition: Assume f:X→Y is a function. The Image of f is all elements in Y that f reaches. In more set-theoretical terms, Im(f)={f(x):x∈X}={y∈Y:∃x.f(x)=y}

Definition: Let’s say f is a function from a set X to a group G. The Kernel of f is the set of all elements of X that f maps to idG, or Ker(f)={x∈X:f(x)=idG}

So, the theorem is saying “φ preserves some structure between groups G and H, and so you get the same structure if you "squeeze out” all the things φ treats sort of “identity-like” or if you just look at the subset of H that φ cares about.

Proof below the read more.

Keep reading

SPOILER NEW CHAPTER GAIDEN

YENWSJ156815

End Naruto Weekly Shonen Jump, 15 (chapters) 6/8/15 (will finish)

NG C7003 P197 B4 W5 - (Shin)

Naruto Gaiden chapter 703, page 197, balloon 4, word 5.

OP C789, P32, B15, W5 - (is)

One Piece chapter 789, page 32, balloon 15, word 5.

WT C104, P14, B3, W3 - (not)

World Trigger chapter 104, page 14, balloon 3, word 3.

REOS P17, B2, W10 - (¿an?)

 page 17, balloon 2, word 10.

NG C7006, P72, B10, W4 - (Uchiha)

Naruto Gaiden chapter 706, page 72, balloon 10, word 4.



SU C3, P179, B11, W5, L1-3

chapter 3, page 179, balloon 11, word 5, letter 1-3.

GH C6 P157 B12 W5 L7 (z)

Gakkyu Hotei chapter 6, page 157, balloon 12, word 5, letter 7.

SOTE C29 P34 B4 W1, L1-2

Seraph of the End chapter 29, page 34, balloon 4, word 1, letter 1-2

T C320, P25, B15, W3 - (arm)

Toriko chapter 320, page 25, balloon 15, word 3

OP C789, P32, B15, W5 - (is)

One Piece chapter 789, page 32, balloon 15, word 5 

RV C2 P205 B5 W2

Rosario Vampire chapter 2, page 205, balloon 5, word 2 

NG C7003, P197, B4, W5 - (Shin)

Naruto Gaiden chapter 703, page 197, balloon 4, word 5 



NG C7003 P197 B4 W5 - (Shin)

Naruto Gaiden chapter 703, page 197, 4 balloon, 5 word. 

OP C789 P32 B15 W5 -  (is)

One Piece chapter 789, page 32, 15 balloon, 5 word.

BC C10 P171 B10 W2 - (special)

Black covers chapter 10, page 171, balloon 10, word 2.   

N C161 P229 B3 W5

Nisekoi chapter 161, page 229, 3 balloon, 5 word.

WT C105 P14 B3 W3 - (not)

World Trigger chapter 105, page 14, ballon 3, word 3.

NG C7002 P67 B4 W3 L1 -  ( r )

Naruto Gaiden chapter 702, page 67, 4 balloon, 3 word, 1 letter. 

GH C12 P257 B6 W3 L1-5 (eject)

Gakkyu Hotei chapter 12, page 257, balloon 6, word 3, letter 1-5

FW C112 P13 B7 W4 -  (any)

Food war chapter 112, page 13, balloon 7, word 4.

NG C7006 P85 B2 W3 - (organ)

Naruto Gaiden chapter 706, page 85, 2 balloon, 3 word.

NG C7006 P85 B1 W1 - (transplant)

Naruto Gaiden chapter 706, page 85, 1 balloon, 1 word. 



FW C113 P134 B1 W1 -  (They)

Food War chapter 112, page 134, balloon 1, word 1. 

BE C66, P222, B7, W3 - (meet)

Blue Exorcist chapter 66, page 222, balloon 7, word 3.

NG C7002 P67 B6 W3 L1-6 -  (Yamato)

Naruto Gaiden chapter 702, page 67, 6 balloon, 3 word, 1-6 letter.

NG C7002 P67 B4 W1 L1-10 -  (Orochimaru)

Naruto Gaiden chapter 702, page 67, 4 balloon, 1 word, 1-10 letter.

BE C67 P28 B3 W2 L1-2 - (su)

Blue Exorcist chapter 67, page 28, balloon 3, word 2, letter 1-2

YGOZ C52 P169 B5, W1 - (i)

Yu-Gi-Oh Zexal chapter 52, page 169, balloon 5, word 1.

C C1 P350 B4 W1 L4-6 - (get)

chapter 1, page 350, balloon 4, word 1, letter 4-6.

BE C67 P28 B3 W2 L1-2 - (su)

Blue Exorcist chapter 67, page 28, balloon 3, word 2, letter 1-2

SOTE C33 P74 B5 W6 - (and)

Seraph of the End chapter 33, page 74, balloon 5, word 6.

BOF C4 P261 B4 W3 - (ju)

chapter 4, page 261, balloon 4, word 3.

TG C1 P223 B1 W2 L3 - (u)

Tokyo Ghoul chapter 1, page 223, balloon 1, word 2, letter 3.

C C1 P303 B6 W8 - (go)

chapter 1, page 303, balloon 6, word 8.



SPOILER

Naruto Gaiden will have 15 chapters and it will end the 6th of July.

Shin is not an Uchiha.

… arm is … Shin

Shin is special ….. not reject any organ transplant.

They meet Yamato, Orochimaru, Suigetsu and Juugo.