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 September 13th, 2019, 04:41 AM #1 Newbie   Joined: Jan 2019 From: Australia Posts: 10 Thanks: 0 How can probability theory solve the most complicated problems of five unknowns? Greetings to All! How to solve such a difficult task? Perhaps there are complex theorems that only enlightened minds can understand? Value: q; w; u; h; m; Is known Value: A; B; C; D; E; Unknown Value: X; The same q = X * A w = X * B u = X * C h = X * D m = X * E Need to find Value: X; September 13th, 2019, 05:41 AM #2 Senior Member   Joined: Jun 2019 From: USA Posts: 220 Thanks: 94 There is no unique solution. Easy way to tell is that you have six unknowns and only five equations. Let's say q = heat transfer, w = work done, u = internal energy, h = enthalpy, m = mass of steam going through a power plant, where A, B, C, D, and E are the heat transfer rate, power, internal energy flux, enthalpy flux, and mass flux. X is then time. If you know q, and you know how much time X it took for that to occur, you can solve for the rate A, and then you can solve for B, C, D, and E, as well. Conversely, if you know A and q, you can calculate the amount of time X that was necessary. But every value of X is valid and will produce a different set of {A,B,C,D,E}. There is no unique solution if all six are unknown. The best you can do is express things as ratios. X = q/A, A/B = q/w, etc. Tags complicated, probability, problems, solve, theory, unknowns 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 mathcanbeeasy Calculus 2 April 20th, 2016 09:29 PM david0925 Probability and Statistics 7 February 6th, 2015 06:32 AM Caluca Differential Equations 11 January 20th, 2012 02:18 AM cosmic Advanced Statistics 4 November 23rd, 2011 08:40 AM tiger Algebra 1 February 9th, 2009 12:56 PM

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