My Math Forum  

Go Back   My Math Forum > College Math Forum > Advanced Statistics

Advanced Statistics Advanced Probability and Statistics Math Forum


Reply
 
LinkBack Thread Tools Display Modes
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? Thatís what Iím trying to find out. Can a formula be designed to link all the numbers so that the next number can be predicted?
Hero is offline  
 
October 19th, 2010, 04:21 PM   #2
Global Moderator
 
CRGreathouse's Avatar
 
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:
Originally Posted by Hero
Can a formula be designed to link all the numbers so that the next number can be predicted?
In general, no. There are too many ways to continue the sequence. In fact, not only are there infinitely many way to do so, there are uncountably many ways.

If you know something about what kinds of patterns we're looking for, though, it may be possible.
CRGreathouse is offline  
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:
Is there a simple way to design a formula to relate two sets of numbers?

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 6th-degree 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.

soroban is offline  
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 re-written my question in more detail and posted it in the thread here:

viewtopic.php?f=24&t=16504&p=63099#p63099

Thanks
Hero is offline  
Reply

  My Math Forum > College Math Forum > Advanced Statistics

Tags
numbers, relationship



Search tags for this page
Click on a term to search for related topics.
Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Geometric Relationship WWRtelescoping Complex Analysis 6 February 23rd, 2014 09:54 AM
Relationship between log and arcs Jhenrique Complex Analysis 2 November 12th, 2013 04:18 PM
Phi and Pi relationship ScottGonzales Algebra 0 November 26th, 2012 09:40 AM
[Complex Numbers] Inquiry about relationship XmathY Number Theory 5 April 22nd, 2012 09:42 AM
relationship between dS/S and d(ln(S)) dh273 Economics 2 July 1st, 2008 04:13 AM





Copyright © 2017 My Math Forum. All rights reserved.