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function maximize/minimize in Smath Studio
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Joined: 28/04/2021(UTC) Posts: 12 Location: Krasnodar

Hi, guys I need help for my graduation work, i need to use maximize function in Smath Studio, but i have no idea how to do it :'( :'( :'( :'( :'( :'( :'( :'( :'( . Is there a plugin for maximize / minimize functions in Smath Studio? Edited by moderator 30 April 2021 17:11:30(UTC)
 Reason: moved to QUESTIONS (not a bug)




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Originally Posted by: forziwka Hi, guys I need help for my graduation work, i need to use maximize function in Smath Studio, but i have no idea how to do it :'( :'( :'( :'( :'( :'( :'( :'( :'( . Is there a plugin for maximize / minimize functions in Smath Studio? You can write your own functions. maximize and minimize are peak points of slope. Take derivative of equation, solve it. Check the examples below. Regards maximize_minimize.sm (17kb) downloaded 16 time(s). maximize_minimize with different solvers.sm (29kb) downloaded 16 time(s).Edited by user 29 April 2021 05:02:37(UTC)
 Reason: Not specified

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I have a program in MathCad,the problem is that the marshmallow recipe is being optimized here, I need a maximization function to find the maximum value of each ingredient. sbalansir. + organoleptika zefira  fcii Ketle.xls (21kb) downloaded 4 time(s).the exel file contains the values of each marshmallow component that are used in the task. sbalansir. + organoleptika zefira  fcii Ketle.xmcd (251kb) downloaded 5 time(s). The whole problem is that the function K(x) is sixdimensional and there is no idea how to find its derivatives. I need to do the same in Smath Studio, but there are no Given / Maximize / Minimize functions in Smath, I don't know how to implement this. Here is everything that I could implement in Smath from the Mathcad file. diplomnayaRabota.sm (34kb) downloaded 10 time(s).p.s If something is not clear, ask, I will try to answer. Sorry for my bad eng Edited by user 29 April 2021 15:05:01(UTC)
 Reason: Not specified




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Originally Posted by: forziwka
p.s If something is not clear, ask, I will try to answer.
Hi, can you upload a pdf instead the mathcad xmcd file, please? Best regards. Alvaro.




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Originally Posted by: Razonar Originally Posted by: forziwka
p.s If something is not clear, ask, I will try to answer.
Hi, can you upload a pdf instead the mathcad xmcd file, please? Best regards. Alvaro. everything is written in Russian, if you have any questions, I will explain. Mathcad  sbalansir. + organoleptika zefira  fcii Ketle.pdf (246kb) downloaded 11 time(s).




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Originally Posted by: overlord Originally Posted by: forziwka Hi, guys I need help for my graduation work, i need to use maximize function in Smath Studio, but i have no idea how to do it :'( :'( :'( :'( :'( :'( :'( :'( :'( . Is there a plugin for maximize / minimize functions in Smath Studio? You can write your own functions. maximize and minimize are peak points of slope. Take derivative of equation, solve it. Check the examples below. Regards maximize_minimize.sm (17kb) downloaded 16 time(s). maximize_minimize with different solvers.sm (29kb) downloaded 16 time(s). Unfortunately, this does not work with my function, because it is more complex than yours.




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Why are denominators 0? B2j≠B1j. Am i wrong?




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Originally Posted by: forziwka Unfortunately, this does not work with my function, because it is more complex than yours. Here is the first solution for your graphics. Rest are in the example. This is an ugly and fast solution compiled in a haste. I am pretty sure someone in the forum will come with a more classy method. Regards diplomnayaRabota_rev.sm (41kb) downloaded 9 time(s).Edited by user 29 April 2021 18:24:13(UTC)
 Reason: Not specified

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Originally Posted by: forziwka Originally Posted by: overlord Originally Posted by: forziwka Unfortunately, this does not work with my function, because it is more complex than yours. Here is the first solution for your graphics. Rest are in the example. This is an ugly and fast solution compiled in a haste. I am pretty sure someone in the forum will come with a more classy method. Regards diplomnayaRabota_rev.sm (41kb) downloaded 3 time(s). Thanks for your feedback , but I need to calculate maximize from the function K(x), not from y(j, x). Check this pdf Mathcad file: Mathcad  sbalansir. + organoleptika zefira  fcii Ketle.pdf (246kb) downloaded 8 time(s).After the function K (x), the vector x is given as the initial approximation and after that the Given and Miximize functions are used for the K(x) function. I need to get vector X in Smath. p.s sorry for my bad eng




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Originally Posted by: Jean Giraud Graphs are doctored and more, but can't sanity moreCheers ...Jean diplomnayaRabota.sm (46kb) downloaded 12 time(s). Thanks for your corrections , but the main question was how to get this vector X without the Given and Maximize functions, because it's obtained from these functions: "X: = Maximize (K, x) ?




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Originally Posted by: forziwka Thanks for your corrections , but the main question was how to get this vector X without the Given and Maximize functions, because it's obtained from these functions: "X: = Maximize (K, x) ? That is a total different solver. Smath don't have it integrated. Maple software has it as Maximize() and Minimize() but plugin doesn't parse it under linux. At least I couldn't do it with maple plugin. Maxima can solve that kind of equations with maximize_lp() and minimize_lp(). You have to load(simplex) before using this two functions. Maybe maxima plugin could work but I can't try it, need a windows user to try it. I use maxima under terminal, maxima plugin doesn't work with linux. Regards.




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Originally Posted by: Jean Giraud Originally Posted by: forziwka but the main question was how to get this vector X without the Given and Maximize functions, because it's obtained from these functions: "X: = Maximize (K, x) ? The bloc solver Given ... Find, Minerr, Maximize, Minimize is Mathsoft proprietary specific to Mathcad. No such equivalent Smath. Given/Minerr for fitting model function to data set is done otherwise in Smath via Conjugate Gradient ... same or even better. If there is another way of doing in Smath, expect Designers to help. Sorry Collab, can't help directly on that ... Jean. :'( I tried to do this for a simple function through the "roots" function, and in the end I found the maximum, finding the maximum for a simple function.sm (13kb) downloaded 10 time(s). but there are no ideas how to do this for K (X), since it depends on 6 arguments of the vector x. Is it possible to somehow implement the same algorithm in my task? Edited by user 30 April 2021 15:36:54(UTC)
 Reason: Not specified




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Originally Posted by: Jean Giraud Originally Posted by: forziwka Is it possible to somehow implement the same algorithm in my task ? The Ancestor of the savant solve is the TKsolve. The designers of TKsolve are the Founders of Mathsoft/Mathcad. No Mathcad gurus succeeded to crack the bloc, probably crypted deep. It's a pity that this method is not solved.




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Hi. There are no minimizers in SMath, with the probable exception of a library in Maxima that can be read and executed, as Overlod point. However, a kind of minimizer can be implemented as shown in the attached, and incidentally, obtain a solution (just a little bit) better than Mathcad's. diplomnayaRabota_nleqsol.sm (84kb) downloaded 24 time(s).Best regards. Alvaro.

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Originally Posted by: Razonar Hi. There are no minimizers in SMath, with the probable exception of a library in Maxima that can be read and executed, as Overlod point. However, a kind of minimizer can be implemented as shown in the attached, and incidentally, obtain a solution (just a little bit) better than Mathcad's. diplomnayaRabota_nleqsol.sm (84kb) downloaded 24 time(s).Best regards. Alvaro. Thank you so much for your work. I appreciate it.




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Originally Posted by: Razonar Hi. There are no minimizers in SMath, with the probable exception of a library in Maxima that can be read and executed, as Overlod point. However, a kind of minimizer can be implemented as shown in the attached, and incidentally, obtain a solution (just a little bit) better than Mathcad's. diplomnayaRabota_nleqsol.sm (84kb) downloaded 24 time(s).Best regards. Alvaro. Hi, I didn't really understand how you made such a function for the previous maximize problem, I wanted to ask you to help me solve a simpler problem on this topic. Milk shake optimization.sm (18kb) downloaded 2 time(s).pdf Mathcad file: Mathcad  mag.2020 Aleksandr Baranov Optimizacija molochnogo koktejjlja.pdf (100kb) downloaded 14 time(s).In this program, I need to repeat everything in the same way as in the screenshots of MathCad, i attached them to Smath. I would be very grateful if you could help me. If you have any questions, ask, I will answer them. Edited by user 04 May 2021 19:32:44(UTC)
 Reason: Not specified




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Originally Posted by: Jean Giraud Originally Posted by: forziwka In this program, I need to repeat everything in the same way as in the screenshots of MathCad, I attached them to Smath Horrible screen shot, nothing to see for understanding. Seemingly, you have a system to solve ... something like Butler. Solve Given_Find [CO2_6179 Butler].sm (163kb) downloaded 5 time(s). I'll try to make a pdf Mathcad file. Some formulas simply dont fit into the full sheet and go beyond the boundaries.




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Originally Posted by: forziwka Hi, I didn't really understand how you made such a function for the previous maximize problem,
Hi. Point is: how to solve that in SMath? Because SMath haven't maximizer, and what you have near to that is al_nleqsolve, you can read that in this way: How to use a traditional solver for seek a maximum with constraints? So, you have a function K(x) with x element of R^6, a guess xo and the guess value for the maximum K(xo). First, write Check(x), for restrict x for the constraints. Next, because numerical solvers for roots needs the evaluation of the change in the target value, assume that you are looking for the zero of f(x) = K(x)  (1+p)*Ko, where p is some percent increment over Ko. Why? Because you guess that xo it's a good solution, so, Ko = K(xo) "must" to be a good guess for the maximum. The Maximize ad hoc function it's just the implementation for that: here the trick is use K(Check(x)) instead K(x). You can try to change the pvalue for get the best answer that you can. Originally Posted by: forziwka In this program, I need to repeat everything in the same way as in the screenshots of MathCad, i attached them to Smath. I would be very grateful if you could help me. If you have any questions, ask, I will answer them. The Mathcad's screenshots are perfect. Here you have a little difference: the restrictions involving another function Kc(x), but it's very similar, and need to write CheckX for x and CheckKc for Kc(x). The trick for CheckKc(x): No one, but three: First, return some information to the solver about how the things are going. Instead of return 0 or 1, return 0 for Kc is in the good interval, and +/ normi(x) if not. Second, include CheckKc(CheckX(x)) as second row in the target function for try to get zeros on both components. Third, include CheckKc in the exit condition for the main loop. Milk shake optimization nleqsol.sm (1,444kb) downloaded 16 time(s).Hope that's helps. Best regards. Alvaro. Edited by user 04 May 2021 23:10:07(UTC)
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