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how do i can solve a trigonometric equation which is restricted arguments? - maple software - Сообщения
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
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 (10 КиБ) скачан 125 раз(а).

But your equation seems to have infinite solutions.
Regards
al_nleqsolve equ(x,y,z).sm (10 КиБ) скачан 125 раз(а).

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 (111 КиБ) скачан 133 раз(а).
Plots4D.pdf (393 КиБ) скачан 161 раз(а).
Best regards.
Alvaro.
About Dragilev method, I can't find my setup for 3D, and the expert there is Viacheslav (uni).
Plots4D.sm (111 КиБ) скачан 133 раз(а).
Plots4D.pdf (393 КиБ) скачан 161 раз(а).
Best regards.
Alvaro.
1 пользователям понравился этот пост
Oscar Campo 05.07.2021 21:01:00
Well, Fridel it's an expert too, thanks.
Joining above Dragilev and 4D methods.
Plots4D_DM3.sm (111 КиБ) скачан 142 раз(а).
Plots4D_DM3.pdf (182 КиБ) скачан 145 раз(а).
Best regards.
Alvaro.
Joining above Dragilev and 4D methods.
Plots4D_DM3.sm (111 КиБ) скачан 142 раз(а).
Plots4D_DM3.pdf (182 КиБ) скачан 145 раз(а).
Best regards.
Alvaro.
1 пользователям понравился этот пост
Fridel Selitsky 06.07.2021 03:50:00
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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