My Math Forum  

Go Back   My Math Forum > College Math Forum > Linear Algebra

Linear Algebra Linear Algebra Math Forum


Reply
 
LinkBack Thread Tools Display Modes
October 21st, 2015, 09:07 AM   #1
Newbie
 
Joined: Oct 2015
From: Zagreb

Posts: 6
Thanks: 0

Average value of a function hypothesis

Average value of a function is a singularity of its invert !!! ???

Last edited by skipjack; October 21st, 2015 at 09:09 AM.
lukajagor is offline  
 
October 21st, 2015, 09:11 AM   #2
Global Moderator
 
Joined: Dec 2006

Posts: 20,969
Thanks: 2219

Consider the function f(x) ≡ x, which is its own inverse.
skipjack is offline  
October 21st, 2015, 09:37 AM   #3
Newbie
 
Joined: Oct 2015
From: Zagreb

Posts: 6
Thanks: 0

Maybe where singularity is available
lukajagor is offline  
October 21st, 2015, 10:05 AM   #4
Banned Camp
 
Joined: Mar 2015
From: New Jersey

Posts: 1,720
Thanks: 126

The average value of each member of the set S of all continuous functions on [a,b] (a mapping of S to R) obviously can not have an inverse.


EDIT: It can not have a UNIQUE inverse. Any number of functions can have the same average.

Last edited by zylo; October 21st, 2015 at 10:15 AM.
zylo is offline  
October 21st, 2015, 11:23 AM   #5
Newbie
 
Joined: Oct 2015
From: Zagreb

Posts: 6
Thanks: 0

You can have an inverse if you are looking at the (-∞,∞) interval, don't know looked ok 2 me, sometimes in Physics say, for example that an average value of function sin(x) is zero.

Last edited by lukajagor; October 21st, 2015 at 11:34 AM.
lukajagor is offline  
Reply

  My Math Forum > College Math Forum > Linear Algebra

Tags
average, function, hipotesis, hypothesis



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Find the average value of the function F(x,y,z) = x^2y^2z^2 stacigurl12 Calculus 4 February 12th, 2014 04:42 PM
going for average cost function to total cost function pomazebog Calculus 5 March 28th, 2012 09:15 PM
Finding average value of a function tsl182forever8 Calculus 1 March 15th, 2012 06:46 AM
Average of a multivariate function hoffan Computer Science 2 February 9th, 2010 12:43 PM
Average rate of change as it relates to a function brakson Algebra 2 January 21st, 2008 11:00 AM





Copyright © 2019 My Math Forum. All rights reserved.