My very first

by shiningsunnyday, Sep 18, 2016, 6:46 AM

1997 South African MO wrote:
Find all functions $f: \mathbb{Z} \rightarrow \mathbb{Z}$ which satisfy \[ f(m + f(n)) = f(m) + n \]for all $m,n \in \mathbb{Z}$.
Solution
Tidbit

EDIT: Solution fixed. Thanks MS2002.
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This post has been edited 2 times. Last edited by shiningsunnyday, Sep 21, 2016, 9:00 AM

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9 Comments

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you have to be kidding me. this can’t be your first FE. you’re lying. seriously

the solution is right btw

also, why is there a picture of an iron

It is my first lol; never done these before.
Idk
This post has been edited 2 times. Last edited by shiningsunnyday, Sep 19, 2016, 6:57 AM

by cjquines0, Sep 18, 2016, 2:52 PM

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iron is fe lol

Lol yea
This post has been edited 2 times. Last edited by melschulz, Sep 19, 2016, 7:37 PM

by Generic_Username, Sep 18, 2016, 3:27 PM

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Congratulations.

Fowhat
This post has been edited 1 time. Last edited by shiningsunnyday, Sep 19, 2016, 6:57 AM

by MathAwesome123, Sep 18, 2016, 5:42 PM

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OMG SSD'S PUNS ARE GETTING SO GOOD

Seriously though that was hilarious. :rotfl:

You're halirious
This post has been edited 1 time. Last edited by shiningsunnyday, Sep 19, 2016, 6:57 AM

by Wiggle Wam, Sep 18, 2016, 6:54 PM

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Hi Wiggle Wam how r u doing today. I hope it is going well.

I'm good thanks for asking
This post has been edited 1 time. Last edited by shiningsunnyday, Sep 19, 2016, 6:58 AM

by Eugenis, Sep 18, 2016, 9:31 PM

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why does $c\neq 0$ imply that it's a constant function?

Because... like um... er... cause...


RAGEEEE
This post has been edited 1 time. Last edited by shiningsunnyday, Sep 19, 2016, 6:58 AM

by MathStudent2002, Sep 19, 2016, 12:40 AM

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$f(m+c) = f(m), c \neq 0$ implies $f$ is periodic, not necessarily constant

How do I fix my solution :( :( help I suck at fe's
This post has been edited 1 time. Last edited by shiningsunnyday, Sep 19, 2016, 2:45 PM

by cjquines0, Sep 19, 2016, 2:31 PM

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so how was your first time?

the first FE :furious: is always the worst

D:
This post has been edited 1 time. Last edited by shiningsunnyday, Sep 20, 2016, 6:57 PM

by agbdmrbirdyface, Sep 19, 2016, 11:23 PM

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hint

Oh I seeee
This post has been edited 1 time. Last edited by shiningsunnyday, Sep 20, 2016, 6:57 PM

by MathStudent2002, Sep 20, 2016, 2:04 AM

To share with readers my favorite problem I came across today :) (Shout for contrib.)

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