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

functional equation

algebra

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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.

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

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

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this guy is an absolute legend. much love wherever you are Michael
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by shiningsunnyday, Jun 16, 2016, 4:37 AM
Since problems is plural, he might post multiple problems through different posts in one day...
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by zephyrcrush78, Jun 15, 2016, 1:20 AM
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Problems of the day

My very first

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

9 Comments