Math People, Help Me Complicate This Equation

[Dr. Strange]

1 + 1 = 2

[Ptah]

1. .

1 + 1 = 2 = 2 * 1

[jpgray]

2. .

1 + 1 = 2 = 2 * 1 = √2^2

[Ptah]

4. .

1 + 1 = 2 = 2 * 1 = √2^2= 2 * tan(a)/tan(a)

[Yukari Yakumo]

20. .

cos(pi/2)^2 + sin(pi)^2 = 2 * sin(0) = √(log(100))^2 = 2 * tan(a)/tan(a) = 2

[Xipe Totec]

32. ?!

sin(0) = 0 ∴ 2 * sin(0) = 0 ≠ 2 ⊥ ! nt

:popcorn:

[Dr. Strange]

34. Wow, you guys are really getting triggy with it!

[MonkeyFunk]

3. ok

1+1=3


(for exceptionally large values of 1)

[Dr. Strange]

14. Are you using some kind of fancy imaginary numbers?

Naughty, naughty!

[ChoralScholar]

5. Here you go.

negative e on the square root of 37 pi all to the zero power + the natural logarithm of e = 8 to the 1/3 power.

(-e√(37Π))^0+ln(e)=8^(1/3)

[Dr. Strange]

9. Damn, that's complicated!

[ChoralScholar]

15. Why, you said to complicate it!!! :)

[racaulk]

6. How about this...

1 + 1 = 2
1 + 2 = 3
2 + 3 = 5
3 + 5 = 8
5 + 8 = 13
8 + 13 = 21
13 + 21 = 34
21 + 34 = 55
34 + 55 = 89
55 + 89 = 144

Giving you the Fibonacci Sequence: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, etc.

All you can eat here: http://en.wikipedia.org/wiki/Fibonacci_sequence

[Dr. Strange]

7. That's a lot of rabbits!

For all you math whizzes: what is the greatest common denominator of the Fibonacci numbers F_m and F_n?

[smedwed]

10. A bit of a guess:P

I haven't proved this completely properly , but I believe that
If you find the GCD of M and N

Then that number Fibonacci number is the GCD of F(m) and F(n)

:)
Another one is, if you reduce the Finbonacci numbers modulo some number, when - and do they always - repeat:)

[Dr. Strange]

13. Check out the brain on smedwed!

The GCD of F_m and F_n is in fact F_GCD(m,n).

if you reduce the Finbonacci numbers modulo some number, when - and do they always - repeat

Hmmm.
They always repeat, thanks to the Pigeonhole Principle.
But how long does it take before they repeat?
Now that's a mighty fine question!

I shall need some time to think...

[smedwed]

17. Quads

Thank you :P, I'm not quite sure how to prove it though. I'll try after my exams are all done

Its easier to work out if you take F(m) = aF(m-1) + bF(m-2)
such that A squared + 4b is a perfect square :)
And the pigeon hole principle works but there are often shorter repetitions

Quadratic residues are a clue:) And Fermat's little theorem is helpful

[Dr. Strange]

36. I cheated

My interest was just too piqued, so I Googled and found this:

Properties of the Fibonacci Sequence Under Various Moduli.

Cool stuff.

Good luck with exams!

[LeftyFingerPop]

8. here you go:

1 = the loneliest number

2 (can be as bad as 1) / it's the loneliest number = (since the number 1)

[ashling]

11. ROFLMAO

:rofl:

[Dr. Strange]

12. And that song was performed by...

yes, that's right, (1 + 2) Dog Night

[Kerrytravelers]

16. Republican math:

1+1= WMDs in Iraq!! Oh, lookie!! Shiny things!!

[Zuiderelle]

18. .

[MissMillie]

19. 2 + 2 = 5

for extremely large values of 2.

[Dr. Strange]

27. 2 + 2 = 5

Kickass! I love Radiohead!

[Javaman]

21. 42. nt

[Catshrink]

22. Try this:

1 + 1 = 2(10^0)

[triguy46]

23. According to Roger Daltry and Pete Townsend...

"One and one is one."

[Dr. Strange]

29. Who?

[unpossibles]

24. hmm

Biblical Pi is the only imaginary number I remember

[Dr. Strange]

28. Mmmmmm, Biblical Pi

With whipped cream on top...

[SacredCow]

25. My version....

1+1=2

+1=3

Eventually, 1 #1 and 1 #2 begin to argue a lot. 1 #2 begins to spend 1 #1's money and max out its credit cards. 1 #1 takes a passive role and spends long hours at work avoiding 1 #2. 1 #2 becomes aggressive and verbally attacks 1 #1 for not making enough money (of course, 1 #2 refuses to take full time employment to supplement the family income). Eventually 1 #2 tells 1 #3 that 1 #1 is a jerk that doesn't make (1+1+1+1+1+1) figures; ergo, 1 #1 doesn't love 1 #3 or 1 #2. 1 #1 suggests counseling; however, 1 #2 thinks it's too expensive, and that 1 #1 should just make more money and all would be perfect. 1 #1 gives up and resigns to a miserable life. 1 day, 1 #1 comes home and finds 1 #2 has left, is filing for subtraction, and wants to divide 1 #1's paycheck by 2.

:silly:

[Dr. Strange]

35. Such drama!

I never knew math could be such a soap opera!

[Nikia]

26. You mean like this

x(1+1)-y=2x-y

[Dr. Strange]

30. Not bad, but

it needs more cowbell.

[EstimatedProphet]

31. 0.99999999 + 0.99999999 = 1.99999998

Round up.

[Xipe Totec]

33. Okay. Where?