Register to reply

Average of power curve functions

by Labyrinth
Tags: average, curve, functions, power
Share this thread:
Labyrinth
#1
Dec9-13, 12:29 AM
P: 14
I have a program that generates a bunch of power curve functions and would like to know what the 'average' function between all of them would be.

Here is my data set so far:

4.638013x^0.076682586
4.834884x^0.034875062
4.0432342x^0.13476002
3.8535004x^0.12178477

How do I do this, and what is the average function for this particular set?

Thank you for your time.
Phys.Org News Partner Mathematics news on Phys.org
'Moral victories' might spare you from losing again
Fair cake cutting gets its own algorithm
Effort to model Facebook yields key to famous math problem (and a prize)
SteamKing
#2
Dec9-13, 04:12 AM
Emeritus
Sci Advisor
HW Helper
Thanks
PF Gold
P: 6,340
It depends on what you mean by 'average'.
Labyrinth
#3
Dec9-13, 04:51 PM
P: 14
I think the mean would be ideal.

I'm looking at it from a graph standpoint, where I want to find one curve that best represents them all.

Mark44
#4
Dec9-13, 05:23 PM
Mentor
P: 21,214
Average of power curve functions

I would lean toward taking the average of the four coefficients (the numbers in front of the power functions), and the average of the four exponents. That would certainly give you a function whose graph would be somewhere in the middle of the other four.
Labyrinth
#5
Dec9-13, 07:12 PM
P: 14
Is it really that simple? I guess I had delusions of complexity.

Anyways thanks for your help.
Stephen Tashi
#6
Dec11-13, 12:05 PM
Sci Advisor
P: 3,256
Quote Quote by Labyrinth View Post
Is it really that simple?
The un-simple task you have not done is to figure out precisely what you are trying to accomplish. What do you intend to use this "average" function for?
Labyrinth
#7
Dec11-13, 06:25 PM
P: 14
Quote Quote by Stephen Tashi View Post
The un-simple task you have not done is to figure out precisely what you are trying to accomplish. What do you intend to use this "average" function for?
I'm attempting to approximate the faulty motion reporting of a mouse sensor in terms of a power curve which it doesn't really follow but is available to mimic in settings available with many interfaces that support acceleration. The data I get is a bit noisy, so I take a sample, approximate its curve with a graphing program, take another sample, approximate that one, and so on. Over many iterations the 'average' function between them all should be a reasonable approximation.

There's a definite limit on the precision as long as only a simple power curve is available. It's more precisely described as a higher order polynomial. At a later date I may get into its exact description in these terms but for now a simple power curve takes priority.


Register to reply

Related Discussions
Average power or peak power? Classical Physics 3
What is more damaging: average power or peak power of a pulsed laser? Classical Physics 8
The average power and power spectral density Set Theory, Logic, Probability, Statistics 0
Getting the average velocity from a parabolic curve Introductory Physics Homework 4
Average value of a curve Calculus 3