Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2013-09-29 05:36:15

jacks
Member
Registered: 2012-11-21
Posts: 77

positive integer ordered pairs (n,r)

{A} Total no. of positive integer ordered pairs of

which satisfy

{B} Total no. of positive integer ordered pairs of

which satisfy

Offline

#2 2013-09-29 06:44:11

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,211

Re: positive integer ordered pairs (n,r)

Hi;

There are 6 ways for 120 and 2 ways for 2013.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#3 2013-09-29 06:46:32

jacks
Member
Registered: 2012-11-21
Posts: 77

Re: positive integer ordered pairs (n,r)

Thanks Bobbym would you like to explain it to me, Thanks

Offline

#4 2013-09-29 06:52:38

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,211

Re: positive integer ordered pairs (n,r)

Hi;

As far as I know there is no known formula for these problems. The latest work only provides a bound, not an exact answer. These had to be computed for both numbers.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#5 2013-09-29 06:55:30

jacks
Member
Registered: 2012-11-21
Posts: 77

Re: positive integer ordered pairs (n,r)

Yes Bobbym I need upper bond.

Offline

#6 2013-09-29 07:07:02

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,211

Re: positive integer ordered pairs (n,r)

Hi;

Unless I am misunderstanding their paper they have only established an upper bound for

n >= 2r

this is almost useless for your question.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

Board footer

Powered by FluxBB