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5 Nov 2002, 14:06
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#1
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Cultured
Join Date: Feb 2002
Location: ESS The Darker The Night The Brighter The Star
Posts: 637
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For the mathematically challenged - ELeeming's guide to things you didn't know part 1
Let a = b
hence a*b = b^2
hence a*b - a^2 = b^2 - a^2
hence a(b - a) = (b + a)(b - a)
hence a = b + a
hence a = 2a
hence 1 = 2
QED.
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5 Nov 2002, 14:10
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#2
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b0rked!
Join Date: Apr 2001
Posts: 44
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bah... trying to divide by zero 
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moving my sig for greater justice since 1932
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5 Nov 2002, 14:29
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#3
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ŻŻŻŻŻŻŻŻŻ
Join Date: May 2001
Location: Sept 2057
Posts: 1,813
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Re: For the mathematically challenged - ELeeming's guide to things you didn't know part 1
If a = 1 and b = a,
a(b - a) = (b + a)(b - a)
1*(1-1) = (1 + 1)*(1 - 1)
0 = 2 * 0
0 == 0
__________________
in my sig i write down all my previous co-ords and alliance positions as if they matter because I'm not important enough to be remembered by nickname alone.
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5 Nov 2002, 14:31
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#4
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Gubbish
Join Date: Sep 2000
Location: #FoW
Posts: 2,323
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1^2=(-1)^2
thus
1=-1
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Gubble gubble gubble gubble
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5 Nov 2002, 14:33
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#5
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ŻŻŻŻŻŻŻŻŻ
Join Date: May 2001
Location: Sept 2057
Posts: 1,813
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Re: Re: Re: For the mathematically challenged - ELeeming's guide to things you didn't know part 1
Quote:
Originally posted by Iniluki
nononon
1*(1-1) = 1*(0)
which is zero
But he has just proved 0 = 0 so why carry with the equation from there? Its bound to go wrong.
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Oh yeah.
Put the 0 a line too late :\
__________________
in my sig i write down all my previous co-ords and alliance positions as if they matter because I'm not important enough to be remembered by nickname alone.
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5 Nov 2002, 14:49
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#6
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fascinated by bridges!
Join Date: Jul 2000
Location: Norwegiensis
Posts: 919
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ITS SO AMAZING
Let's continue on the journey:
God is the creator of everything.
God wrote the book of nature in the language of mathematics.
God created ELeeming
ELeeming is a genious and proves that 1=2.
ELeeming doth blaspheme and is Satan.
Hence: Whenever someone asks you how many fingers they show and you see one finger, say 'I can clearly see two fingers.' And when the person says that he's only having one finger on display, you beat him senseless defending God against this follower of ELeeming.
Say, where is the flaw in my logic?
Matrim
__________________
Holy smoke.
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5 Nov 2002, 16:18
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#7
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Guest
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this forum is a waste of time and money
go die now
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5 Nov 2002, 16:30
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#8
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dim like a fox
Join Date: Apr 2000
Location: Finland ffs
Posts: 866
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X = 0.999...
thus
10X = 9.999...
10X-X = 9.999... - 0.999...
9X = 9
X = 1
so
0.999... = 1
__________________
I'm nobody.
Nobody's perfect.
I'm perfect.
---------------
ph33r TPE plz. thxbye.
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5 Nov 2002, 16:37
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#9
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Registered User
Join Date: Jul 2000
Location: :noitacoL
Posts: 1,200
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Quote:
Originally posted by menth0l
X = 0.999...
thus
10X = 9.999...
10X-X = 9.999... - 0.999...
9X = 9
X = 1
so
0.999... = 1
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0.99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999... = 1
You're still a tad out :/
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5 Nov 2002, 16:38
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#10
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dim like a fox
Join Date: Apr 2000
Location: Finland ffs
Posts: 866
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mbushell: lies.
0.999... = 1.
__________________
I'm nobody.
Nobody's perfect.
I'm perfect.
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ph33r TPE plz. thxbye.
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5 Nov 2002, 16:38
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#11
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wasted
Join Date: Dec 2000
Location: Under the floorboards
Posts: 1,240
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Quote:
Originally posted by menth0l
0.999... = 1
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You didn't happen to design the Pentium chip, by any chance?
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5 Nov 2002, 16:40
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#12
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Registered User
Join Date: Jul 2000
Location: :noitacoL
Posts: 1,200
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Quote:
Originally posted by menth0l
mbushell: lies.
0.999... = 1.
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0.9 = 1, nope, 0.1 out.
0.99 = 1, nope, 0.01 out.
0.999 = 1, nope, 0.001 out.
0.9999 = 1, nope, 0.0001 out.
0.99999 = 1, nope, 0.00001 out.
0.999999 = 1, nope, 0.000001 out.
etc.
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5 Nov 2002, 16:40
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#13
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Throwing Shapes
Join Date: Apr 2000
Posts: 797
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This is why "Rounding up" was invented.
Them clever scientists eh?
__________________
Time is an Illusion, Lunchtime doubly so.
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5 Nov 2002, 16:41
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#14
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Guest
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Re: For the mathematically challenged - ELeeming's guide to things you didn't know part 1
Quote:
Originally posted by ELeeming
Let a = b
hence a*b = b^2
hence a*b - a^2 = b^2 - a^2
hence a(b - a) = (b + a)(b - a)
hence a = b + a
hence a = 2a
hence 1 = 2
QED.
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b^2 - a^2 != (b + a)(b - a)
(b + a)(b - a) = b^2 + a^2 - 2ab
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5 Nov 2002, 16:43
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#15
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dim like a fox
Join Date: Apr 2000
Location: Finland ffs
Posts: 866
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Quote:
Originally posted by mbushell
0.9 = 1, nope, 0.1 out.
0.99 = 1, nope, 0.01 out.
0.999 = 1, nope, 0.001 out.
0.9999 = 1, nope, 0.0001 out.
0.99999 = 1, nope, 0.00001 out.
0.999999 = 1, nope, 0.000001 out.
etc.
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we are talking about 0.999... tho.
nothing you have given applies.
__________________
I'm nobody.
Nobody's perfect.
I'm perfect.
---------------
ph33r TPE plz. thxbye.
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5 Nov 2002, 16:44
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#16
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dim like a fox
Join Date: Apr 2000
Location: Finland ffs
Posts: 866
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Re: Re: For the mathematically challenged - ELeeming's guide to things you didn't know part 1
Quote:
Originally posted by PsyDe
b^2 - a^2 != (b + a)(b - a)
(b + a)(b - a) = b^2 + a^2 - 2ab
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actually, (a+b)(a-b) = a^2-ab+ba-b^2
=a^2-b^2
__________________
I'm nobody.
Nobody's perfect.
I'm perfect.
---------------
ph33r TPE plz. thxbye.
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5 Nov 2002, 16:46
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#17
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Registered User
Join Date: Jul 2000
Location: :noitacoL
Posts: 1,200
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Quote:
Originally posted by menth0l
we are talking about 0.999... tho.
nothing you have given applies.
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I'm saying you'll always be 0.000....1 out
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5 Nov 2002, 16:49
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#18
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Vermin Supreme
Join Date: Jul 2000
Location: Pittsburgh
Posts: 3,280
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Quote:
Originally posted by mbushell
I'm saying you'll always be 0.000....1 out
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Unless the ... implies an infinite series of 9s, which is how I took it.
Then he is right.
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5 Nov 2002, 17:03
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#19
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dim like a fox
Join Date: Apr 2000
Location: Finland ffs
Posts: 866
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Quote:
Originally posted by mbushell
I'm saying you'll always be 0.000....1 out
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prove my calculation wrong then.
__________________
I'm nobody.
Nobody's perfect.
I'm perfect.
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ph33r TPE plz. thxbye.
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5 Nov 2002, 17:04
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#20
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dim like a fox
Join Date: Apr 2000
Location: Finland ffs
Posts: 866
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Quote:
Originally posted by acropolis
Unless the ... implies an infinite series of 9s, which is how I took it.
Then he is right.
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And bingo was his name.
__________________
I'm nobody.
Nobody's perfect.
I'm perfect.
---------------
ph33r TPE plz. thxbye.
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5 Nov 2002, 17:15
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#21
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dim like a fox
Join Date: Apr 2000
Location: Finland ffs
Posts: 866
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Quote:
Originally posted by mbushell
I'm saying you'll always be 0.000....1 out
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0.000...1 is not a possible figure, because the ... implies infinity.
what you have given is not infinite.
__________________
I'm nobody.
Nobody's perfect.
I'm perfect.
---------------
ph33r TPE plz. thxbye.
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5 Nov 2002, 18:33
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#22
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Registered User
Join Date: Oct 2000
Posts: 4,944
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menth0l is right
anyone got one that's NOT been posted a million times before? 
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5 Nov 2002, 19:39
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#23
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Bitch
Join Date: Jun 2002
Location: North Yorkshire
Posts: 3,848
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Quote:
Originally posted by ComradeRob
You didn't happen to design the Pentium chip, by any chance?
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Thank God there was SOMETHING in this thread worth reading 
__________________
ACHTUNG!!!
Das machine is nicht fur gefingerpoken und mittengrabben. Ist easy
schnappen der springenwerk, blowenfusen und corkenpoppen mit
spitzensparken. Ist nicht fur gewerken by das dummkopfen. Das
rubbernecken sightseeren keepen hands in das pockets. Relaxen und vatch
das blinkenlights!!!
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5 Nov 2002, 19:56
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#24
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Registered User
Join Date: Jun 2000
Posts: 8,476
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1 + oo = oo
2 + oo = oo
hence 1 = 2.
This is the logic menth0ls one uses.
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5 Nov 2002, 20:04
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#25
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Guest
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Quote:
Originally posted by phillup
this forum is a waste of time and money
go die now
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not my money fortunately.
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5 Nov 2002, 20:12
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#26
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Guest
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cos^2 x = 1-sin^2 x
1+cos x = 1 +(1-sin^2 x)^0.5
(1+cos x)^2 = [1 +(1-sin^2 x)^0.5]^2
when x=(2 * pi)/3:
(1-(1/2))^2 = [1+(1-(3/4))^0.5]^2
1/4 = [1+(1/4)^0.5]^2
1 = 9
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5 Nov 2002, 20:13
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#27
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Gone
Join Date: Jan 2001
Posts: 14,656
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I don't like maths.
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5 Nov 2002, 20:17
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#28
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Gubbish
Join Date: Sep 2000
Location: #FoW
Posts: 2,323
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The difference between 0.999... and 1 is infintesimal. Assuming you're not dealing with infintesimal variables, the difference is 0
(btw, the proof isn't too good, you have to be careful when substracting one infinite series from another)
__________________
Gubble gubble gubble gubble
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5 Nov 2002, 20:18
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#29
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Ball
Join Date: Oct 2001
Posts: 4,410
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y = x^0.5 does not follow from y^2 = x
If +- means plus or minus:
y^2 = x => y = +-x^0.5
Quote:
Originally posted by Vince McMahon
cos^2 x = 1-sin^2 x
1+cos x = 1 +- (1-sin^2 x)^0.5
(1+cos x)^2 = [1 +- (1-sin^2 x)^0.5]^2
when x=(2 * pi)/3:
(1-(1/2))^2 = [1+-(1-(3/4))^0.5]^2
1/4 = [1+-(1/4)^0.5]^2
1 = 1 or 1 = 9
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5 Nov 2002, 20:36
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#30
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Commander
Join Date: Sep 2001
Location: Netherlands
Posts: 146
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Re: For the mathematically challenged - ELeeming's guide to things you didn't know part 1
Quote:
Originally posted by ELeeming
Let a = b
hence a*b = b^2
hence a*b - a^2 = b^2 - a^2
hence a(b - a) = (b + a)(b - a)
hence a = b + a
hence a = 2a
hence 1 = 2
QED.
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you are allowed to multiply both sides with a variable, but then you have to check the results by filling them into the original equation. 1 of the results is wrong and the other remains.
x = 4
x^2 = 16
x = -4 or x = 4
fill the results in the original equation:
x = -4 or x = 4
-4 = 4 or 4 = 4
-4 != 4 so the only good result is x = 4
you are never allowed to divide a variable out.
x^2 = x
x^2-x = 0
x(x-1) = 0
x = 0 or x = 1
0 = 0 or 1 = 1
if you do it your way:
x^2 = x
x = 1
and you miss one result
__________________
Quote:
Originally posted by Cochese
Cathaar are not overpowered.
You were just "bashed", live with it.
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5 Nov 2002, 22:32
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#31
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Commander
Join Date: May 2001
Posts: 12
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Quote:
Originally posted by ComradeRob
You didn't happen to design the Pentium chip, by any chance?
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0.9 recuring does however equal 1, although I can't remember the exact proof off the top of my head :-)
I'm also glad someone remembers Intels wonderful inability to be able to do simple floating point arithmetic, although I always found the fact that they denied it existed, when you could do 2 * 2 = 3.99817 yourself amusing.
http://www.matthill.demon.co.uk/comedy/pentium.html
A small point of semi-related humour :-)
__________________
Sev
<Leinad> Sev is a sexy bitch, but plz dont tell him
Round 2 - 4:1:12 - C4E
Round 3 - 3:3:12 - TF/Elysium
Round 4 - 9:25:15 Nos
Round 5 - 17:5:16 - Lux
Round 6 - 35:23:6 - Deus
Round 7 - Quit - Legion
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6 Nov 2002, 10:23
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#32
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Polar Bear
Join Date: Sep 2002
Location: NZ \o/
Posts: 88
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Quote:
Originally posted by Nodrog
1 + oo = oo
2 + oo = oo
hence 1 = 2.
This is the logic menth0ls one uses.
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No his logic is more like:
a*0 = b*0
=> a = b
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6 Nov 2002, 10:59
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#33
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Not a Cow
Join Date: Nov 2000
Location: Brighton, UK
Posts: 201
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Quote:
Originally posted by menth0l
X = 0.999...
thus
10X = 9.999...
10X-X = 9.999... - 0.999...
9X = 9
X = 1
so
0.999... = 1
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10 x 0.999 = 9.990
9.990 - 0.999 = 8.991, not 9
No matter how many 9's you stick on the end, it still doesn't work :O)
__________________
<GSVsleep> cows would live a lot longer if they werent made out of steaks and leather
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6 Nov 2002, 14:05
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#34
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Superluminal Mod(retired)
Join Date: Apr 2000
Location: Shakespeare Country
Posts: 219
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No.
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6 Nov 2002, 14:18
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#35
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Godfather
Join Date: May 2000
Location: England
Posts: 5,185
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indeed
__________________
Forum Administrator
Mail : [email protected] // IRC : #forums
__________________
It's not personal, it's just business.
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6 Nov 2002, 14:19
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#36
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Gone
Join Date: Jan 2001
Posts: 14,656
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'Ello, ello, ello, what's goin on 'ere then?
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6 Nov 2002, 14:19
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#37
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Guest
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i was about to complain about that!
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6 Nov 2002, 14:22
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#38
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Dirte
Join Date: Apr 2002
Posts: 5,573
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The struggle between the mod and the admin!
__________________
"Freedom, morality, and the human dignity of the individual consists precisely in this; that he makes waffles not because he is forced to do so, but because he freely conceives it, wants it, and loves it."
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6 Nov 2002, 19:48
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#39
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∞+♪²
Join Date: Nov 2000
Location: :uo!te]oŻ|
Posts: 428
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∞
Σ log(cos(2^(-n)))
n=1
And a little infinite sum that might actually be fun for the mathematically challenged to quickly and easily work out... (Old homework.)
And I didn't even use "oo" to represent ∞... 
__________________
Structural Integrity for Creator - since he'll probably make PA turn 3D.
Wikipedia forum
Note to self - Don't write Chinese letters with bold and italics... 猫
<!--Last incarnation: Nov 2000-->
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6 Nov 2002, 19:52
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#40
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Twisted
Join Date: Nov 2000
Location: Down with the sickness
Posts: 2,484
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Quote:
Originally posted by Miserableman
10 x 0.999 = 9.990
9.990 - 0.999 = 8.991, not 9
No matter how many 9's you stick on the end, it still doesn't work :O)
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Stop being a silly moo.
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6 Nov 2002, 19:52
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#41
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Registered User
Join Date: Oct 2000
Posts: 4,944
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Quote:
Originally posted by Cyp
∞
Σ log(cos(2^(-n)))
n=1
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natural log i assume? (to base e)
<2nd edit>oops, misread it </2nd edit>
Last edited by Ragnarak; 6 Nov 2002 at 19:58.
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6 Nov 2002, 19:55
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#42
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∞+♪²
Join Date: Nov 2000
Location: :uo!te]oŻ|
Posts: 428
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Quote:
Originally posted by Ragnarak
natural log i assume? (to base e)
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Yes. (The math teacher says that real mathematicians don't write ln. Or said something similar. C++ compiler seems to agree.)
__________________
Structural Integrity for Creator - since he'll probably make PA turn 3D.
Wikipedia forum
Note to self - Don't write Chinese letters with bold and italics... 猫
<!--Last incarnation: Nov 2000-->
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6 Nov 2002, 20:18
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#43
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Governor General
Join Date: Dec 2000
Location: People's Republic of South Yorkshire
Posts: 739
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This is making my head hurt.
__________________
Va Va Voom
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6 Nov 2002, 20:23
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#44
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Wankoverable
Join Date: Apr 2002
Location: wherever I am
Posts: 726
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some people need to be reminded of the 'rules'
(a+b)^2 = a^2 + 2ab + b^2
a^2 - b^2 = (a + b) . (a - b)
dont confuse them, kids
__________________
Don't worry, life is too long.
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6 Nov 2002, 20:37
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#45
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Wankoverable
Join Date: Apr 2002
Location: wherever I am
Posts: 726
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Quote:
Originally posted by XxBrollYxX
1 + 1 = 11
HAH
try n beat THAT
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add the val( )
damn i sound like my computer class teacher
__________________
Don't worry, life is too long.
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6 Nov 2002, 20:40
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#46
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Twisted
Join Date: Nov 2000
Location: Down with the sickness
Posts: 2,484
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Quote:
Originally posted by XxBrollYxX
1 + 1 = 11
HAH
try n beat THAT
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I know a guy who uses that tactic to solve the Countdown number puzzle. He's a tad thick.
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6 Nov 2002, 23:20
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#47
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wild one
Join Date: Feb 2001
Location: River Edge, NJ
Posts: 3,313
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My head hurts now.
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All times are GMT +1. The time now is 20:54.
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Linear Mode
