My Math Forum  

Go Back   My Math Forum > Math Forums > Math

Math General Math Forum - For general math related discussion and news


Reply
 
LinkBack Thread Tools Display Modes
June 27th, 2017, 01:25 AM   #1
Newbie
 
Joined: Jun 2017
From: Earth

Posts: 1
Thanks: 0

Mathematical scales

0, 1, 2, 3, 4... - linear scale.
1, 2, 4, 8, 16... - logarithmic scale.
0, 1/2, 1, 2, :infinity: - the hell is this one ?
Because everybody is like "this is totally legit, but I don't know how it's called or what's the general rule ".

More generally:
0; n^0; :infinity:
0; n^-1; n^0; n^1; :infinity:
0; n^-2; n^-1; n^-1/2; n^0; n^1/2; n^1; n^2; :infinity:
0; n^-3; n^-2; n^-3/2; n^-1; n^-2/3; n^-1/2; n^-1/3; n^0; n^1/3 n^1/2; n^2/3; n^1; n^3/2; n^2; n^3; :infinity: (not sure for this one)
Add negative numbers on the left for full scale.

And so on, but I am not exactly sure how.

If you scale your X;Y coordinates like this, 1/x looks like a straight line between 0;:infinity: and :infinity:;0 and x^2 looks like a -sinx rotated 45 degrees around origin.

Also, it's very symmetrical: if you multiply numbers equidistant from 1 or -1, you get 1; if you multiply the exponents of numbers equidistant from n or -n or n^-1 or n^-1, you get 1, and if you multiply numbers 1/2 of scale away from each other (full scale includes negative numbers) you get -1.

So, who knows how that's called ?
UselessCommon is offline  
 
August 7th, 2017, 10:46 PM   #2
Global Moderator
 
Joined: Dec 2006

Posts: 17,725
Thanks: 1359

The third one doesn't make sense to me.
skipjack is online now  
Reply

  My Math Forum > Math Forums > Math

Tags
expotentiation, graphs, logarithms, mathematical, problem, scales



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Probability scales (logit, probit etc.) Nobody1111 Advanced Statistics 1 September 22nd, 2015 01:30 PM
Mathematical Art Phillip Math 2 April 6th, 2014 10:49 AM
How to calculate max/min scales on a scatter plot expertalmost Algebra 8 March 26th, 2014 02:49 PM
P equals NP if any hashlife scales for Clique on the board BenFRayfield Applied Math 0 February 20th, 2014 02:19 PM
Mathematical fun LazyModeComics New Users 5 September 21st, 2011 12:19 PM





Copyright © 2017 My Math Forum. All rights reserved.