how do i can solve a trigonometric equation which is restricted arguments? - maple software - Сообщения
#1 Опубликовано: 04.07.2021 23:50:31
Hi
i want to solve an equation about adding three cosine term which are constrained:
cos(2 pi(x+y-2z))+cos(2 pi(y+z-2x))+cos(2 pi(z+x-2y))=0
with constraint 0
can some one please guide me?
i wrote this command but it did not work:
solve({cos(2*Pi*(x+y-2*z))+cos(2*Pi*(y+z-2*x))+cos(2*Pi*(z+x-2*y)) = 0, 0 <= x, x <= 1, y <= 1, z <= 1, x < y, y < z}, [x, y, z], explicit)
when we write this command as this:
solve({cos(2*Pi*(x+y-2*z))+cos(2*Pi*(y+z-2*x))+cos(2*Pi*(z+x-2*y)) = 0,[x, y, z], explicit)
i do not see any change in the figures
apparently my restriction do not work!
whats the problem?
someone told me i should solve this problem with Draghilev method because this problem should solve with numerical method
i want to solve an equation about adding three cosine term which are constrained:
cos(2 pi(x+y-2z))+cos(2 pi(y+z-2x))+cos(2 pi(z+x-2y))=0
with constraint 0
can some one please guide me?
i wrote this command but it did not work:
solve({cos(2*Pi*(x+y-2*z))+cos(2*Pi*(y+z-2*x))+cos(2*Pi*(z+x-2*y)) = 0, 0 <= x, x <= 1, y <= 1, z <= 1, x < y, y < z}, [x, y, z], explicit)
when we write this command as this:
solve({cos(2*Pi*(x+y-2*z))+cos(2*Pi*(y+z-2*x))+cos(2*Pi*(z+x-2*y)) = 0,[x, y, z], explicit)
i do not see any change in the figures
apparently my restriction do not work!
whats the problem?
someone told me i should solve this problem with Draghilev method because this problem should solve with numerical method
#2 Опубликовано: 05.07.2021 10:41:14
More experienced users may help you better than me.
But your equation seems to have infinite solutions.
Regards
al_nleqsolve equ(x,y,z).sm
But your equation seems to have infinite solutions.
Regards
al_nleqsolve equ(x,y,z).sm
#3 Опубликовано: 05.07.2021 18:20:46
As overlord points, there are infinite solutions. Just like the better visual representation for z = f(x,y) is a surface in the 3D space, w = f(x,y,z) is a hypersurface in the 4D space. But we can't see that plot. So, here a plot of families of that 4D hypersurface, like a contour plot, but with surfaces.
About Dragilev method, I can't find my setup for 3D, and the expert there is Viacheslav (uni).
Plots4D.sm
Plots4D.pdf
Best regards.
Alvaro.
About Dragilev method, I can't find my setup for 3D, and the expert there is Viacheslav (uni).
Plots4D.sm
Plots4D.pdf
Best regards.
Alvaro.
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Oscar Campo 05.07.2021 21:01:00
#4 Опубликовано: 05.07.2021 21:15:59
#5 Опубликовано: 06.07.2021 01:46:40
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Alvaro Diaz Falconi 06.07.2021 03:06:00
#6 Опубликовано: 06.07.2021 03:05:22
Well, Fridel it's an expert too, thanks.
Joining above Dragilev and 4D methods.
Plots4D_DM3.sm
Plots4D_DM3.pdf
Best regards.
Alvaro.
Joining above Dragilev and 4D methods.
Plots4D_DM3.sm
Plots4D_DM3.pdf
Best regards.
Alvaro.
1 пользователям понравился этот пост
Fridel Selitsky 06.07.2021 03:50:00
#7 Опубликовано: 06.07.2021 12:19:07
Discussion of this problem on the maple forum featuring
the author of this question(rahmati)
https://www.mapleprimes.com/questions/232488-How-Do-I-Can-Solve-A-Trigonometric-Equation
the author of this question(rahmati)
https://www.mapleprimes.com/questions/232488-How-Do-I-Can-Solve-A-Trigonometric-Equation
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