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Topic: Collatz Multiple Choice Placement Exam
Replies: 32   Last Post: May 28, 2002 8:46 AM

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Guillermo Phillips

Posts: 37
Registered: 12/8/04
Re: Collatz Multiple Choice Placement Exam
Posted: May 4, 2002 9:42 AM
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"William Elliot" <mars@xx.com> wrote in message
news://20020502045557.L86227-100000@agora.rdrop.com...
> Start with a number n and repeat:
> if n is even, then divide it by two
> if n is odd, multiply it by 3 and add 1.
>
> Eventually n will
> 1. reach 1
> 2. get bigger and bigger
> 3. repeat an earlier value



Of course if 3 is true then 1 is untrue (other than the trivial case).
If 2 is true then 1 is untrue.
And conversely if 1 is true both 2 and 3 are untrue.

These three states incidentally match those of the solutions of first order
differential equations -i.e. damping, oscillation and exponential growth.
Or of couse if you like chaos theory there could be a solution which takes
on an infinite set of (chaotic) values - or is this the same as getting
bigger and bigger?








Date Subject Author
5/2/02
Read Collatz Multiple Choice Placement Exam
William Elliot
5/2/02
Read Re: Collatz Multiple Choice Placement Exam
mensanator
5/2/02
Read Re: Collatz Multiple Choice Placement Exam
William Elliot
5/2/02
Read Re: Collatz Multiple Choice Placement Exam
Jan Kristian Haugland
5/2/02
Read Re: Collatz Multiple Choice Placement Exam
Jan Kristian Haugland
5/2/02
Read Re: Collatz Multiple Choice Placement Exam
mensanator
5/2/02
Read Re: Collatz Multiple Choice Placement Exam
Christian Bau
5/2/02
Read Re: Collatz Multiple Choice Placement Exam
mensanator
5/2/02
Read Re: Collatz Multiple Choice Placement Exam
mensanator
5/3/02
Read Re: Collatz Multiple Choice Placement Exam
mensanator
5/3/02
Read Re: Collatz Multiple Choice Placement Exam
Gottfried Helms
5/5/02
Read Re: Collatz Multiple Choice Placement Exam
Gottfried Helms
5/6/02
Read Re: Collatz Multiple Choice Placement Exam
Nico Benschop
5/6/02
Read cancel <3CD6858C.4B295C59@chello.nl>
Nico Benschop
5/6/02
Read Re: Collatz Multiple Choice Placement Exam
Nico Benschop
5/6/02
Read Re: Collatz Multiple Choice Placement Exam
Nico Benschop
5/6/02
Read Re: Collatz Multiple Choice Placement Exam
Nico Benschop
5/3/02
Read Re: Collatz Multiple Choice Placement Exam
Nico Benschop
5/3/02
Read Re: Collatz Multiple Choice Placement Exam
Robin Chapman
5/3/02
Read Re: Collatz Multiple Choice Placement Exam
Nico Benschop
5/3/02
Read Re: Collatz Multiple Choice Placement Exam
David C. Ullrich
5/3/02
Read Re: Collatz Multiple Choice Placement Exam
mensanator
5/6/02
Read Re: Collatz Multiple Choice Placement Exam
Nico Benschop
5/6/02
Read Re: Collatz Multiple Choice Placement Exam
David C. Ullrich
5/4/02
Read Re: Collatz Multiple Choice Placement Exam
Guillermo Phillips
5/4/02
Read Re: Collatz Multiple Choice Placement Exam
mensanator
5/9/02
Read Re: Collatz Multiple Choice Placement Exam
Gottfried Helms
5/10/02
Read Re: Collatz Multiple Choice Placement Exam
mensanator
5/10/02
Read Re: Collatz Multiple Choice Placement Exam
Gottfried Helms
5/13/02
Read Re: Collatz Multiple Choice Placement Exam
mensanator
5/17/02
Read Re: Collatz Multiple Choice Placement Exam
Gottfried Helms
5/20/02
Read Re: Collatz Multiple Choice Placement Exam
mensanator
5/28/02
Read Re: Collatz Multiple Choice Placement Exam
Nico Benschop

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