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October 19th, 2010, 01:00 PM  #1 
Newbie Joined: Oct 2010 Posts: 3 Thanks: 0  Relationship between numbers
Is there a simple way to design a formula to identify the relationship between two sets of numbers? For example if the numbers in column A are: A1 20 A2 32 A3 11 A4 60 A5 100 A6 160 A7 25 And the numbers in column B are: B1 25 B2 32 B3 60 B4 40 B5 19 B6 88 B7 64 If number A1 is related to B1 and A2 to B2 and so on what will be the value of B8 if the number A8 is say 10? These are random numbers but there may be some mathematical relationship between all of them? That’s what I’m trying to find out. Can a formula be designed to link all the numbers so that the next number can be predicted? 
October 19th, 2010, 04:21 PM  #2  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 937 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Relationship between numbers Quote:
If you know something about what kinds of patterns we're looking for, though, it may be possible.  
October 19th, 2010, 07:45 PM  #3  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 407  Re: Relationship between numbers Hello, Hero! Quote:
Given a finite set of points (coordinates), it is possible to construct a polynomial [color=beige]. . [/color]which passes through all the points. You gave us seven points: [color=beige]. . [/color] It ia possible to construct a 6thdegree polynomial which contains the seven points. It general form is:[color=beige] .[/color] We would use the seven given points to determine the above coefficients. But the algebra is prohibitively long and tedious.  
October 20th, 2010, 02:03 PM  #4 
Newbie Joined: Oct 2010 Posts: 3 Thanks: 0  Re: Relationship between numbers
Thanks for the replies. I didn't ask the question properly ... sort of messed it up so I've rewritten my question in more detail and posted it in the thread here: viewtopic.php?f=24&t=16504&p=63099#p63099 Thanks 

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