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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: 21,026 Thanks: 2257 The third one doesn't make sense to me. Tags expotentiation, graphs, logarithms, mathematical, problem, scales Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post Nobody1111 Advanced Statistics 1 September 22nd, 2015 01:30 PM Phillip Math 2 April 6th, 2014 10:49 AM expertalmost Algebra 8 March 26th, 2014 02:49 PM BenFRayfield Applied Math 0 February 20th, 2014 02:19 PM LazyModeComics New Users 5 September 21st, 2011 12:19 PM

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