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math problem for you all

Consider the usual x-y coordinate plane. Assign every point ...
pea-brained sooty parlour
  05/24/15
I assign every point the letter A. All the integers are 1 u...
floppy lodge electric furnace
  05/25/15
(lawyer)
pea-brained sooty parlour
  05/25/15
here's the solution http://asciiartist.com/wp-content/upl...
startled galvanic idea he suggested
  05/24/15
...
flushed coffee pot step-uncle's house
  05/24/15
lol @ "easier". hint or gtfo
Razzle Very Tactful Gas Station Messiness
  05/24/15
(low IQ)
heady shivering senate personal credit line
  05/24/15
(chink)
Razzle Very Tactful Gas Station Messiness
  05/24/15
...
green 180 boiling water tank
  05/24/15
Wait -- if I CONCEDE the statement is true does that count a...
Razzle Very Tactful Gas Station Messiness
  05/24/15
*STIPULATES the Riemann Hypothesis* *wins $1,000,000*
pea-brained sooty parlour
  05/24/15
ahhhhhhhhhhhhh, u see u mathematicians can learn a thing or ...
Razzle Very Tactful Gas Station Messiness
  05/24/15
1. What does "every point" mean? Do you mean "...
cerebral lilac feces elastic band
  05/24/15
He said "the usual coordinate plane". Pretty sure ...
Razzle Very Tactful Gas Station Messiness
  05/24/15
In response to your edit, why is it a joke of a question, Be...
Razzle Very Tactful Gas Station Messiness
  05/24/15
some of this looks familiar
violet startling people who are hurt fanboi
  05/24/15
This is awesome. Someone posts a question acting smart, then...
erotic factory reset button twinkling uncleanness
  05/24/15
Well, that's your opinion.
Odious Pozpig Temple
  05/25/15
just do draw three unit circles, bro
Talented brindle sneaky criminal lay
  05/24/15
(Guy who wrongly thinks he proved it)
Razzle Very Tactful Gas Station Messiness
  05/24/15
just do keep drawing circles qed.
Talented brindle sneaky criminal lay
  05/24/15
tried that and still couldn't reach a contradiction. did i j...
Razzle Very Tactful Gas Station Messiness
  05/24/15
i'm dumb, bc i thought the question was to prove that there ...
Talented brindle sneaky criminal lay
  05/24/15
cr. math can be a little bitch sometimes, like sharklasers
Razzle Very Tactful Gas Station Messiness
  05/24/15
...
Talented brindle sneaky criminal lay
  05/24/15
...
green 180 boiling water tank
  05/24/15
Actually, every point has infinitely many points 1 away from...
Razzle Very Tactful Gas Station Messiness
  05/24/15
pifgeonhole, final answer
pearly international law enforcement agency parlor
  05/24/15
Don't be a faggot. If you know the answer post it Or did u ...
Razzle Very Tactful Gas Station Messiness
  05/24/15
no, I am a brilliant mathematician and I don't feel like pla...
pearly international law enforcement agency parlor
  05/24/15
looks like we're still without a proof. shame.
pea-brained sooty parlour
  05/24/15
kill yourself
Razzle Very Tactful Gas Station Messiness
  05/24/15
this is literally a problem for 6th graders in Russia
pea-brained sooty parlour
  05/24/15
am i a faggot if i say the regular name of this problem? ...
fluffy theatre
  05/24/15
no
Razzle Very Tactful Gas Station Messiness
  05/24/15
it's kinda faggot bro.
fluffy theatre
  05/24/15
obviously and, obviously so what's the problem called?
Razzle Very Tactful Gas Station Messiness
  05/24/15
u edited twice the 1st thing u said was that he rephrased t...
Razzle Very Tactful Gas Station Messiness
  05/24/15
Mathbro here. gonna hit this question. So this means every p...
erotic factory reset button twinkling uncleanness
  05/24/15
lol to be honest u dont sound like a math bro rephrase you...
Razzle Very Tactful Gas Station Messiness
  05/24/15
Ok. So you want us to prove that 1,1 and 2,1 (etc) can both ...
erotic factory reset button twinkling uncleanness
  05/25/15
stfu
Razzle Very Tactful Gas Station Messiness
  05/25/15
You need to show the statement holds for any assignment of l...
pea-brained sooty parlour
  05/25/15
he's flaming, like u
Razzle Very Tactful Gas Station Messiness
  05/25/15
how am I flaming
pea-brained sooty parlour
  05/25/15
do you mean the gay kind of flaming or the lying kind
pea-brained sooty parlour
  05/25/15
The gay kind. See: this thread
out-of-control navy public bath
  05/25/15
...
heady shivering senate personal credit line
  05/25/15
They can touch diagonally (sqrt 2???)? This is so stupid ...
erotic factory reset button twinkling uncleanness
  05/25/15
sqrt(2) is not equal to 1, bro. (Also, because I don't t...
pea-brained sooty parlour
  05/25/15
Ya just saw the thing below. Same shit. Just substitute a ro...
erotic factory reset button twinkling uncleanness
  05/25/15
found it, u little shit http://www.cut-the-knot.org/proofs/...
Razzle Very Tactful Gas Station Messiness
  05/25/15
it's kind of embarrassing you couldn't find that solution an...
pea-brained sooty parlour
  05/25/15
like u could solve that shit. oc if i were a shitflamer like...
Razzle Very Tactful Gas Station Messiness
  05/25/15
I was a math major so ... yes I could. And id. Should I p...
pea-brained sooty parlour
  05/25/15
Do ittttttt hit us with one. Wanna go 2/2 before i pass ...
erotic factory reset button twinkling uncleanness
  05/25/15
I solved it but can't put it into words
Walnut stirring hall selfie
  05/25/15
okay I hadn't solved it but I have now.
Walnut stirring hall selfie
  05/25/15
...
zippy awkward pit
  05/25/15
Yo they all gotta be the same length my dude
erotic factory reset button twinkling uncleanness
  05/25/15
I know that, there was an error in my "proof", and...
zippy awkward pit
  05/25/15


Poast new message in this thread



Reply Favorite

Date: May 24th, 2015 12:16 PM
Author: pea-brained sooty parlour

Consider the usual x-y coordinate plane. Assign every point (ordered pair of real numbers) the letter A,B, or C. Prove there exist two points with the same letter that are 1 unit apart.

This problem has the advantage of being both easier and more interesting than the dumb combinatorics problems that one dude was posting.

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27954385)



Reply Favorite

Date: May 25th, 2015 12:23 AM
Author: floppy lodge electric furnace

I assign every point the letter A. All the integers are 1 unit apart from the next integer on each axis.

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27957987)



Reply Favorite

Date: May 25th, 2015 1:28 AM
Author: pea-brained sooty parlour

(lawyer)

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27958361)



Reply Favorite

Date: May 24th, 2015 12:20 PM
Author: startled galvanic idea he suggested

here's the solution

http://asciiartist.com/wp-content/uploads/2015/01/b6973011-7dff-4e7a-a648-e42fbcfae4b3.jpg



(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27954401)



Reply Favorite

Date: May 24th, 2015 12:35 PM
Author: flushed coffee pot step-uncle's house



(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27954501)



Reply Favorite

Date: May 24th, 2015 12:33 PM
Author: Razzle Very Tactful Gas Station Messiness

lol @ "easier". hint or gtfo

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27954488)



Reply Favorite

Date: May 24th, 2015 12:34 PM
Author: heady shivering senate personal credit line

(low IQ)

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27954496)



Reply Favorite

Date: May 24th, 2015 12:37 PM
Author: Razzle Very Tactful Gas Station Messiness

(chink)

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27954511)



Reply Favorite

Date: May 24th, 2015 7:21 PM
Author: green 180 boiling water tank



(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27956379)



Reply Favorite

Date: May 24th, 2015 6:00 PM
Author: Razzle Very Tactful Gas Station Messiness

Wait -- if I CONCEDE the statement is true does that count as if I proved it? We lawyers call this "stipulate"

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27956042)



Reply Favorite

Date: May 24th, 2015 6:16 PM
Author: pea-brained sooty parlour

*STIPULATES the Riemann Hypothesis*

*wins $1,000,000*

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27956114)



Reply Favorite

Date: May 24th, 2015 9:05 PM
Author: Razzle Very Tactful Gas Station Messiness

ahhhhhhhhhhhhh, u see u mathematicians can learn a thing or 2 from us lawyers

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27956894)



Reply Favorite

Date: May 24th, 2015 7:07 PM
Author: cerebral lilac feces elastic band

1. What does "every point" mean? Do you mean "every coordinate pair with integral x and y", or do you mean "every coordinate pair with real x and y"? If the latter, LJL at this joke of a question. If the former, read on for a disproof.

2. Assuming you mean that, then the statement is false. If you define the set of A points as {(x,y)|(x+y)mod2=0} and B points as {(x,y)|(x+y)mod2=1} where x and y are integers, then there is no A point within 1 unit of another A, and there is no B unit within another B, and there is no C unit within another C since there are no C units.

Proof that there is no A point within 1 unit of another A:

Choose two points in A, n and m. n = (x1,y1), m=(x2,y2).

The distance between m and n = sqrt((x1-x2)^2+(y1-y2)^2)).

Assume these two points are within 1 unit of each other. Because by postulation x1,y1,x2,y2 are all integers, in order to be within 1 unit of each other, either x1=x2 and |y1-y2|=1 or y1=y2 and |x1-x2|=1. The proof of this is left as an exercise for the reader, but it's pretty fucking obvious, merely tedious.

Now we defined A such that (x+y)mod2=0, so let's look at the first point, W/OLOG:

(x1+y1)mod2=0, and now do some substitution

(x2+y1)mod2=0, and by a theorem of absolute value addition I don't wnat to prove here,

(x2+(y2+1))mod2=0

x2mod2 + y2mod2 + 1mod2 = 0

By the same definition of A, we know

(x2+y2)mod2 = 0

x2mod2 + y2mod2 = 0

So combine those,

x2mod2 + y2mod2 + 1mod2 = x2mod2 + y2mod2

simplify

1mod2 = 0

1 = 0

This is a contradiction. The proof regarding two points in B is almost exactly the same and is left as an exercise for the reader.

Accordingly, the theorem has been disproved.

In fact, you can generalize the opposite statement as a theorem in N dimensions:

For any set of N-dimensional points with integral components, you can assign these points with N different labels such that no two points with the same label have a distance <= 1

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27956314)



Reply Favorite

Date: May 24th, 2015 7:15 PM
Author: Razzle Very Tactful Gas Station Messiness

He said "the usual coordinate plane". Pretty sure he means the set of ordered pairs of real numbers , not integers

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27956343)



Reply Favorite

Date: May 24th, 2015 7:18 PM
Author: Razzle Very Tactful Gas Station Messiness

In response to your edit, why is it a joke of a question, Because it's very easy or very hard?

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27956367)



Reply Favorite

Date: May 24th, 2015 7:21 PM
Author: violet startling people who are hurt fanboi

some of this looks familiar

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27956380)



Reply Favorite

Date: May 24th, 2015 11:48 PM
Author: erotic factory reset button twinkling uncleanness

This is awesome. Someone posts a question acting smart, then this dude comes along

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27957785)



Reply Favorite

Date: May 25th, 2015 3:15 AM
Author: Odious Pozpig Temple

Well, that's your opinion.

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27958761)



Reply Favorite

Date: May 24th, 2015 7:11 PM
Author: Talented brindle sneaky criminal lay

just do draw three unit circles, bro

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27956321)



Reply Favorite

Date: May 24th, 2015 7:16 PM
Author: Razzle Very Tactful Gas Station Messiness

(Guy who wrongly thinks he proved it)

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27956357)



Reply Favorite

Date: May 24th, 2015 8:58 PM
Author: Talented brindle sneaky criminal lay

just do keep drawing circles qed.

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27956859)



Reply Favorite

Date: May 24th, 2015 9:04 PM
Author: Razzle Very Tactful Gas Station Messiness

tried that and still couldn't reach a contradiction. did i just not think hard enough? or are you dumb and/or full of shit?

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27956889)



Reply Favorite

Date: May 24th, 2015 9:17 PM
Author: Talented brindle sneaky criminal lay

i'm dumb, bc i thought the question was to prove that there are two points *less* than one unit apart with teh same label, which actually you can do with only 2 circles, like this:

make a circle around "A". all points in this circle must be either B or C points. wlog, choose a "B" point on the boundary of this circle. draw a circle around it. all points within this circle must be A or C points. but there is a region where the A circle and the B circle intersect. all points inside this region must be C points. but since they are all C points and they are in a continuous region where the max distance is less than one, there are two C points within distance 1.

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27956948)



Reply Favorite

Date: May 24th, 2015 9:25 PM
Author: Razzle Very Tactful Gas Station Messiness

cr. math can be a little bitch sometimes, like sharklasers

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27956990)



Reply Favorite

Date: May 24th, 2015 9:22 PM
Author: Talented brindle sneaky criminal lay



(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27956974)



Reply Favorite

Date: May 24th, 2015 7:16 PM
Author: green 180 boiling water tank



(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27956359)



Reply Favorite

Date: May 24th, 2015 7:21 PM
Author: Razzle Very Tactful Gas Station Messiness

Actually, every point has infinitely many points 1 away from it (a circle of radius 1)

But most of the points on the circle aren't 1 away from each other

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27956384)



Reply Favorite

Date: May 24th, 2015 7:19 PM
Author: pearly international law enforcement agency parlor

pifgeonhole, final answer

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27956372)



Reply Favorite

Date: May 24th, 2015 7:24 PM
Author: Razzle Very Tactful Gas Station Messiness

Don't be a faggot. If you know the answer post it

Or did u just google the problem and the top result wa something aboout the pidgeonhole principle?

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27956396)



Reply Favorite

Date: May 24th, 2015 7:28 PM
Author: pearly international law enforcement agency parlor

no, I am a brilliant mathematician and I don't feel like playing your silly games

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27956404)



Reply Favorite

Date: May 24th, 2015 10:29 PM
Author: pea-brained sooty parlour

looks like we're still without a proof. shame.

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27957270)



Reply Favorite

Date: May 24th, 2015 10:35 PM
Author: Razzle Very Tactful Gas Station Messiness

kill yourself

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27957297)



Reply Favorite

Date: May 24th, 2015 10:37 PM
Author: pea-brained sooty parlour

this is literally a problem for 6th graders in Russia

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27957304)



Reply Favorite

Date: May 24th, 2015 11:30 PM
Author: fluffy theatre

am i a faggot if i say the regular name of this problem?



(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27957679)



Reply Favorite

Date: May 24th, 2015 11:32 PM
Author: Razzle Very Tactful Gas Station Messiness

no

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27957695)



Reply Favorite

Date: May 24th, 2015 11:35 PM
Author: fluffy theatre

it's kinda faggot bro.

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27957712)



Reply Favorite

Date: May 24th, 2015 11:37 PM
Author: Razzle Very Tactful Gas Station Messiness

obviously

and, obviously

so what's the problem called?

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27957718)



Reply Favorite

Date: May 24th, 2015 11:40 PM
Author: Razzle Very Tactful Gas Station Messiness

u edited twice

the 1st thing u said was that he rephrased the problem so we wouldnt be able to google it

the 2nd thing u said was that nobody on this shitsite would be able to solve it

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27957739)



Reply Favorite

Date: May 24th, 2015 11:52 PM
Author: erotic factory reset button twinkling uncleanness

Mathbro here. gonna hit this question. So this means every point is randomly assigned a A,b or c? (Every unit could be A?) also, do you count diagnolly as one unit or what

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27957797)



Reply Favorite

Date: May 24th, 2015 11:54 PM
Author: Razzle Very Tactful Gas Station Messiness

lol

to be honest u dont sound like a math bro

rephrase you're questions more coherently & i'll be happy 2 answer them

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27957809)



Reply Favorite

Date: May 25th, 2015 12:41 AM
Author: erotic factory reset button twinkling uncleanness

Ok. So you want us to prove that 1,1 and 2,1 (etc) can both be A? And each point is randomized between A, B, and C?

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27958105)



Reply Favorite

Date: May 25th, 2015 1:26 AM
Author: Razzle Very Tactful Gas Station Messiness

stfu

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27958346)



Reply Favorite

Date: May 25th, 2015 1:27 AM
Author: pea-brained sooty parlour

You need to show the statement holds for any assignment of letters.

And yes, 1 unit in any direction counts.

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27958349)



Reply Favorite

Date: May 25th, 2015 1:28 AM
Author: Razzle Very Tactful Gas Station Messiness

he's flaming, like u

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27958358)



Reply Favorite

Date: May 25th, 2015 1:28 AM
Author: pea-brained sooty parlour

how am I flaming

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27958363)



Reply Favorite

Date: May 25th, 2015 1:29 AM
Author: pea-brained sooty parlour

do you mean the gay kind of flaming or the lying kind

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27958369)



Reply Favorite

Date: May 25th, 2015 1:51 AM
Author: out-of-control navy public bath

The gay kind. See: this thread

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27958467)



Reply Favorite

Date: May 25th, 2015 2:02 AM
Author: heady shivering senate personal credit line



(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27958498)



Reply Favorite

Date: May 25th, 2015 2:11 AM
Author: erotic factory reset button twinkling uncleanness

They can touch diagonally (sqrt 2???)? This is so stupid

Put A at 0,0. Theres 8 spots away that 0,0 can touch. Theres no way you can B and C in those spots without any touching eachother

Did i fuck up



(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27958522)



Reply Favorite

Date: May 25th, 2015 2:48 AM
Author: pea-brained sooty parlour

sqrt(2) is not equal to 1, bro.

(Also, because I don't think I made this clear, you're considering all points in the plane, not just those with integer coordinates.)

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27958678)



Reply Favorite

Date: May 25th, 2015 2:59 AM
Author: erotic factory reset button twinkling uncleanness

Ya just saw the thing below. Same shit. Just substitute a rombus for square, its all the same thing

Interesting shit tho I like these questions

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27958703)



Reply Favorite

Date: May 25th, 2015 2:53 AM
Author: Razzle Very Tactful Gas Station Messiness

found it, u little shit

http://www.cut-the-knot.org/proofs/three_colors.shtml

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27958691)



Reply Favorite

Date: May 25th, 2015 2:54 AM
Author: pea-brained sooty parlour

it's kind of embarrassing you couldn't find that solution and apparently spent a lot of time Googling for it instead.

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27958694)



Reply Favorite

Date: May 25th, 2015 3:05 AM
Author: Razzle Very Tactful Gas Station Messiness

like u could solve that shit. oc if i were a shitflamer like u i would have proudly presented "my" solution

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27958718)



Reply Favorite

Date: May 25th, 2015 3:09 AM
Author: pea-brained sooty parlour

I was a math major so ... yes I could. And id.

Should I post another problem thread? It won't be Googleable this time.

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27958733)



Reply Favorite

Date: May 25th, 2015 3:13 AM
Author: erotic factory reset button twinkling uncleanness

Do ittttttt hit us with one.

Wanna go 2/2 before i pass out

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27958749)



Reply Favorite

Date: May 25th, 2015 3:15 AM
Author: Walnut stirring hall selfie

I solved it but can't put it into words

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27958762)



Reply Favorite

Date: May 25th, 2015 5:04 AM
Author: Walnut stirring hall selfie

okay I hadn't solved it but I have now.

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27958939)



Reply Favorite

Date: May 25th, 2015 3:15 AM
Author: zippy awkward pit



(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27958763)



Reply Favorite

Date: May 25th, 2015 3:18 AM
Author: erotic factory reset button twinkling uncleanness

Yo they all gotta be the same length my dude

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27958770)



Reply Favorite

Date: May 25th, 2015 3:21 AM
Author: zippy awkward pit

I know that, there was an error in my "proof", and I think to fix it, it becomes basically one of the solutions posted above

(http://www.autoadmit.com/thread.php?thread_id=2888104&forum_id=2#27958776)