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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Magical Mathematics!
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hemant.cacr (460)

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Let f(x) be a function defined on the positive integers such that:

f(x) = x/2 if x is even
f(x) = (3x+1)/2 if x is odd

Then the conjecture is: iterates of f(x) will eventually reach 1 for any
initial value of x.

Prove or disprove this conjecture!







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hemant.cacr (460)

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No one trying??





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sandeepramesh (1090)

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isnt this some famous conjecture??? I forget the name though.
 
Hey this is an unproved conjecture
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hemant.cacr (460)

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Yeah!
Its name is "the Collatz Conjecture"

Current cash prize is  EUR 5,000









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sandeepramesh (1090)

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yeah whatever. Thought no one would recognise it eh? :D :D
 
Neway the original one states that f(x) = 3x+1 x = odd though it would make no difference to divide by 2 bcos of parity change :)
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destinationIIT09 (324)

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somebody solve itrates assured  in return for d rs 5000

The secret of success is constancy of purpose;
Poverty is the step-mother of genius;
There is no knowledge that is not power,THIS IS KNOWLEDGE;
Hold fast to dreams, for if dreams die, life is a broken winged bird that cannot fly
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^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
unconventional;thats me
Damn d conventions,
Damn d prejudice,
Damn the authority,
Damn d bigotry.
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
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sandeepramesh (1090)

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it would be 5000$ :D :D not Rs 5000
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hemant.cacr (460)

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I know...most of the guys would be knowing this conjuncture!

I've been trying to prove this for 3 years!!.......lol

I thought goiitians are smart enuf to tackle this!
Lets see who solves it!!





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hemant.cacr (460)

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Okay solve this........certificates mere aur 5000 euro jo bhi solve kare uske........





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sandeepramesh (1090)

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hey thats no go man :D Goiitians solve a problem which many great mathematicians cannot?
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hemant.cacr (460)

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Okk.......prize money is now EURO 10,000(EUR 5000 from my side) ............Plus admission to MIT





Its only FUNNY until someone gets hurt................then its hilarious!!
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sandeepramesh (1090)

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Hey thats not possible, dont have toooo much high hopes :D :D If this is not possible by many great mathematicians all over the world, then hw can kids solve it? (unless in an exceptional case)
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hemant.cacr (460)

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I'm in the search of that exceptional case!!

A lot of students from CalTech's Mathematics department are working hard to solve it.They are missing a lot of gr8 parties bcoz of this,so i wanna help them by providing them solution!

SOCIAL SERVICE  





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spideyunlimited (2686)

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that's y he's offering admission to MIT :) lol

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hemant.cacr (460)

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Wo to ho hi jayega





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Forum Index -> Algebra