在 Maple 中绘制具有 3 个变量的 3 个不等式

发布于 2024-09-11 13:10:30 字数 109 浏览 5 评论 0原文

我需要在枫树中绘制它

3x1+y+z<=180
x<=12
x+y+4z<=190

如何在枫树中绘制？我用的是枫叶13

原文

I need to plot this in maple

3x1+y+z<=180
x<=12
x+y+4z<=190

How can I do a plot in Maple? I'm using Maple 13

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后eg是否自 2024-09-18 13:10:30

您可以使用 plots 库中的 inequal 命令绘制不等式，并且可以通过将多个方程放在括号中来绘制它们：

plots[inequal]([3x1+y+z<=180, x<=12, x+y+4z<=190])

如果给定的绘图命令不支持多个绘图，您始终可以单独绘制图形并将它们与 display 结合起来：

with(plots):
plot1 := inequal(3x1+y+z<=180):
plot2 := inequal(x<=12):
plot3 := inequal(x+y+4z<=190):
display([plot1, plot2, plot3])

You plot inequalities with the inequal command from the plots library, and you can plot multiple equations by putting them in brackets:

plots[inequal]([3x1+y+z<=180, x<=12, x+y+4z<=190])

If a given plot command doesn't support multiple plots, you can always do the plots separately and combine them with display:

with(plots):
plot1 := inequal(3x1+y+z<=180):
plot2 := inequal(x<=12):
plot3 := inequal(x+y+4z<=190):
display([plot1, plot2, plot3])

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余生一个溪 2024-09-18 13:10:30

由于您提到这三个不等式是优化问题的约束，因此我假设您对它们的交集而不是每个不等式感兴趣。我是这样做的。我使用分段命令定义一个二进制值函数，当点满足所有三个不等式时，该函数等于 1，然后使用绘图中的隐式绘图命令> 包和不等式 f > 1/2 或者您可以选择等式 f = 1，那么此命令会将您的区域边界绘制为曲面。当然，有时您可能无法获得合适的绘图，例如，当您的区域与绘图框相比很小时，就会发生一种情况。

f := piecewise( And( 3*x + y + z <= 180, x <= 12, x + y + 4*z <= 190 ), 1, 0 );
plots:-implicitplot3d( f >= 1/2, x = -500..500, y=-300..700, z=-500..500, style = surface, grid = [50, 50, 50], color = blue, view = [-500..500, -300..700, -500..500 ] );

这是输出。

Since you mentioned these three inequalities are constraints for an optimization problem, therefore I assume you are interested in the intersection of them and not each separately. Here is how I do it. I use piecewise command to define a binary values function that is equal to 1 when the point satisfies all three inequalities and then I use implicitplot3d command from plots package and an inequality f > 1/2 or you can go for the equality f = 1, then this command will plot the boundary of your region as a surface. Of course sometimes you may not get a suitable plot, for example one case happens when your region is tiny compared with the plotting box.

f := piecewise( And( 3*x + y + z <= 180, x <= 12, x + y + 4*z <= 190 ), 1, 0 );
plots:-implicitplot3d( f >= 1/2, x = -500..500, y=-300..700, z=-500..500, style = surface, grid = [50, 50, 50], color = blue, view = [-500..500, -300..700, -500..500 ] );

Here is the output.

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