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[SOLVED] Number theory

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Descartes

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 Subject: [SOLVED] Number theory   Sun Nov 08, 2009 12:51 pm Here is an easy problem in number theory,my favorite part of mathematics,uploading.com Number%2Btheory.pdf/

Posts : 184
Join date : 2009-09-15
Age : 31
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 Subject: Re: [SOLVED] Number theory   Sun Nov 08, 2009 1:38 pm What about 2? One of A,B must contain 1 (say A), and then A+A contains 2...

Euclid

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Join date : 2009-11-06
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 Subject: Re: [SOLVED] Number theory   Sun Nov 08, 2009 2:30 pm Mohammad wrote: Here is an easy problem in number theory,my favorite part of mathematics,uploading.com Number%2Btheory.pdf/ waiting 60 seconds

Descartes

Posts : 100
Join date : 2009-11-05
Age : 35
Location : Right behind you

 Subject: Re: [SOLVED] Number theory   Sun Nov 08, 2009 9:29 pm forget about 1+1=2

Posts : 184
Join date : 2009-09-15
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 Subject: Re: [SOLVED] Number theory   Sun Nov 08, 2009 11:04 pm Hello!Here is my solution.

Descartes

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 Subject: Re: [SOLVED] Number theory   Sun Nov 08, 2009 11:08 pm Perfect, well done!

Descartes

Posts : 100
Join date : 2009-11-05
Age : 35
Location : Right behind you

 Subject: Generalization   Sun Nov 08, 2009 11:32 pm GeneralizationFor n=2k k\ge 1, of course the obvious candidate is not unique. Simply for example take n=4k with x\in P_{4k} and y\in P_{4k+2}. Another partitioning is P_{4k}-x\cup {y}, P_{4k+2}-y\cup {x}, so you can exchange every two numbers and get new partitioning, so no uniqueness and actually infinite numbers of partitioning.

Posts : 184
Join date : 2009-09-15
Age : 31
Location : the infinite, frictionless plane of uniform density

 Subject: Re: [SOLVED] Number theory   Mon Nov 09, 2009 12:13 am Good!

 Subject: Re: [SOLVED] Number theory

 [SOLVED] Number theory
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