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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 ? 
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.


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